Saturday, April 4, 2020
Learn More About UIC Tutoring 6B
Learn More About UIC Tutoring 6BUIC Tutoring 6B is the latest product of professional tutors. If you are seeking for quality tutoring then this could be the best and most suited option to meet your requirements. Most of the home tutors feel that their talent can be channelized to their home based business and subsequently, they become well-recognized professionals. But there are some who do not know the rules of home tutoring business.UIC has made it simple for the people who want to give good quality learning to the students through online tutoring. There are various aspects and features available in the online tutoring business and students have to understand them before enrolling. The best way to learn about these features is by visiting the official website of UIC tutoring.There are various programs available in the online tutoring business, all with different features and benefits. Some of them have to be attended to at home while some are to be attended to in the school premise s. It is also required to know the duration of the class or the time required to study to be able to evaluate the results of tutoring.Many of the tutors also are providing education through the use of the CCTV cameras. This proves to be very helpful for students, since it helps them get better grades and marks as compared to the conventional learning methods.Online tutoring has been a very viable option in teaching and the industry has seen a boom ever since. There are many who need the help of their favorite tutors in completing their assignments and so on and so forth.Students like it much better and don't have to worry much about the attendance and not so much about attending to their assigned classes. It is only when students face problems like exam time-bound, late examination time, or lost homework they realize that they need to look for professional assistance.UIC tutoring 6B has been considered as one of the best and the most preferred option in the field of tutoring. It has proved to be a very big success and continues to maintain its quality and reputation among all the other tutoring business.
Tuesday, March 24, 2020
What Is a Food Technologist
What Is a Food Technologist The Role of a Food Technologist ChaptersScratching the Surface of Food TechnologyWhat a Food Technologist DoesThe Difference Between Food Science and Food TechnologyThe Need for Food Technologists is GrowingWe are all quite lucky: we live in a time when we can go to Tesco or Sainsburyâs and buy anything from a packet of crisps to a tin of beans.Each of the products found on supermarket shelves has been carefully treated to ensure the maximum degree of food safety and the optimal balance of nutrients, all neatly wrapped up with a label bearing an expiration date so that we donât inadvertently eat something that has gone off.Buying food products hasnât always been that simple.Until Pasteurâs era, food chemistry wasnât considered a legitimate field of study or work. The universal practice of pasteurisation marked the start of food science and technology.We are all familiar with the process of pasteurisation â" heating a substance at relatively low temperature to kill off enzymes that cause foodstuffs, espec ially milk, to spoil.In the late 19th Century, French scientist Louis Pasteur gave his name to the process that was actually established nearly a millennium before but his were not the only advances in food preservation.Salting, smoking and curing meat, making hardtack out of water and flour that could later be reworked into some sort of bread or gravy⦠drying and fermenting foods are also preservation techniques that humans have used for centuries.In fact, long before universities where one could study food science were built, and even way before food science was considered a valid field of study, people have been adept at protecting their food stores from rot and spoilage.Considering things from that perspective, you might wonder: what do we need food technologists for?Thatâs the question your Superprof answers today. You may have occasion to use biotechnology in the course of your food technologist duties Image by FotoshopTofs from Pixabaynatural preservative.If you look at the ingredients list of a frozen dinner, you may be shocked to discover how much salt (sodium) it contains!If you are in the habit of reading food labels before selecting those you will buy â" a practice that a dietician would strongly recommend, you should thank a food technologist for the information what your food consists of.Common entries on food labels include:food colouring makes the food look more appealingBHA â" butylated hydroxyanisole, a preservativeBHT - butylated hydroxytoluene, a preservativemaltose: a sugar added for flavourdextrose: a sugar added for flavourniacin: a B-complex vitamin essential to human healththiamine: Vitamin B1riboflavin: Vitamin B2vitaminsOften, these supplements are added either to enrich the food, preserve it and enhance its flavour and appearance.Also, because preserved foods tend to l ose some of their nutritional value during processing, vitamins and minerals are often added back in, hence those entries on the labels.Food science is constantly on the search of new ingredients and ways of making food more appealing, healthier and safer, and food technologists play a leading role both in food security and in food product development.With the global population growing ever larger, the pressing issue within the food industry is on finding more ways to maximise the food available so that it will feed more people.Granted, the largest part of these scientific studies are conducted in a laboratory. Maybe the nutrition and microbiology aspects of food science technology are not what you are angling for.You may want to know what subjects are covered in a food technology curriculum⦠Not all of a food technologist's duties are about nutrition and food; you may also visit farms to ensure cleanliness and food safety Image by Ryan McGuire from PixabayWhat a Food Technologist DoesIf s/he isnât working directly with food in a lab, a food technologist enjoys a host of other duties such as verifying that government standards for food safety are met and making recommendations for better, safer processes.You may choose to work in a food processing plant doing just that, or you may find yourself drawn to the quality control department, making sure strict hygiene standards are upheld to prevent contamination of the food.With environmental concerns now at an all-time high, devising more efficient ways to package foods is currently the hot topic.Food technologists are desperately searching for new materials and ways to package foods so that they retain or exceed their current levels of safety while reducing the impact on the environment.Bulk food dispensers are one way that retails stores are cutting down on packaging.Foods, at this point mainly dry goods such as breakfast cereals, grains and beans are shipped to the markets from the processing plants in large containers. Retail employees then fill the dispensers as needed.Going hand in hand with that effort is the ongoing search for more efficient, less impactful transportation options at both ends of the processing plant â" when the raw goods come in to be worked and when they ship out, ready for supermarket shelves... or the storesâ bulk dispensers.If this field is of particular interest to you, your future career plans would benefit from engineering studies.Adding an engineering elective to your food science and nutrition degree plan will permit you to design a piece of equipment or a process that would make food processing and transportation more efficient and safer.Are you warming up to the idea of being a food technologist? Find out how you can become oneâ¦The Difference Between Food Scienc e and Food TechnologyYou might wonder at the difference between these two branches of study both related to food engineering so we thought we would clear things up a bit.The disciplines are closely related but food science deals more with food at the molecular level.A food scientist draws on chemistry and biology to study food and how best to grow it and process it so that it retains most of its nutrients. They conduct food research to determine how foods deteriorate â" lose their molecular structure, grow colonies of bacteria and become unsafe.Food scientists and food technologists work hand in hand designing new foods and their packaging.As a food technologist, your focus would likely be oriented more toward food production and processing.Working from the information provided to you by the food scientists, you may design food production processes that wonât compromise the flavour, texture or appearance of the food.You may also conduct market surveys to determine if a new food a ppeals to the public before it is mass-produced.Said surveys include opinions about the food packaging: if consumers find the container difficult to manage or the labelling unappealing, they would not be likely to buy it.When this new food launches into production, you may be tasked with quality assurance â" making sure the food meets health and safety standards, all while maintaining its desirable qualities.You may also be tasked with finding ways to streamline production without sacrificing any of those factors.If that sounds exciting, you should read our complete guide to food science technology! Food technologists often run microbiological tests on food samples Image by FotoshopTofs from PixabayThe Need for Food Technologists is GrowingIn this article, weâve mentioned three very pressing concerns that have a direct impact on the food industry: climate change/environmental concerns, food safety and the growing number of mouths to feed.Right now, our production of food is delicately balanced against the earthâs ability to produce enough to feed everyone⦠and the food industry is fast falling behind on meeting the demand for safe and nutritious food for all.More food being produced faster leaves the door open to greater risks of contamination.Leaving aside genetically modified organisms â" GMOs, as they are commonly known, food technologists are in demand everywhere from the livestock pens and growing fields to the government agencies that provide our food growers oversight and guidance.In case youâre wondering, GMOs are the purview of scientists specialising in food microbiology.Naturally, if that is where your interest lies, that is the area of study that you should pursue but, if you are keen to get your boots on the ground, to start working as soon as possible, there is nothing wrong with getting your undergraduate degree and training as a food technologist.Your Bachelorâs Degree will qualify you to work in a food manufacturing plant in several capacities, the aforementioned food safety and quality being just one of them.You may also enjoy working in the food analysis department, improving on the foods being processed.You could also work in Research and Development, not just in food and nutrition but in equipment design and even the layout of the processing plant.To make a long dissertation succinct: as a food technologist, there is a field of opportunity waiting for you!
Friday, March 6, 2020
Mastering the Art of Follow Up - Introvert Whisperer
Introvert Whisperer / Mastering the Art of Follow Up - Introvert Whisperer Mastering the Art of Follow Up âIâll follow up with you tomorrow.â Only that follow up never happens. How does that make you feel? It makes no difference what the follow up was going to be. It can be a call back from a job interview all the way to your work associate following up to tell you if they can be in a meeting. Besides being unprofessional, a failed follow up doesnât make you feel good; it makes you feel forgotten and unimportant. Hopefully, those are feelings you donât create with others. The follow up is especially important because it is one thing that demonstrates your integrity. Follow up is also important for several other reasons: It helps to keep business moving forward. We can all work with some delay in our various business processes as long as we know that the person we need something from will follow up with whatever is needed from them. It keeps people accountable. When you follow up with someone on a commitment they made, it will keep them more focused on the deliverable and staying accountable. It is about integrity and trust. If youâve failed to follow up on something enough times, youâve trained those people to not trust that you will ever do what you say. Some jobs require it. If you are in certain jobs, you have to be the one to make the phone call or drop into some oneâs office to follow up. This happens because of the role you and the other person play. If you donât do the follow-up, the business wonât move forward, nor will your career. It can be a tool for your job. Follow up is an important tool to my job as a coach, just as it was when I was a manager. Sometimes people rely on your ability to follow up to keep things moving or to help them through a process. Itâs critical to many jobs. If you happen to be a person who lacks good follow up skills, donât worry; here are five things you can do to go from bad to great: List your follow ups. Many people have a running âto-doâ list. This trick is just like that only it falls in the category of following up. List the required follow-up, put the date it needs to be done and check it off after youâve done it. People will think you are a rock star. Put it on your calendar. Most people have some type of calendar and calendar reminder system on their phone. When you have something to follow up on, donât try to remember it; simply put it in your calendar to ping you at the appropriate time. Use your files. If you keep a file for a project or person, make a sticky note and put it in the file to remind you to follow up on a specific thing related to that file. This will only work if you refer to the file somewhat frequently. Donât get sticky note crazy. Some people will generate hundreds of sticky notes and put them all over the place to help them remember to follow up on things. When you do this, it loses the impact of the sticky note as a reminder. The eye gets used to the clutter of sticky notes and can now easily ignore them. Donât rely on your memory. Most people can only juggle a limited amount of things in their memory at any given time. Unless you are one of those rare people who remember everything, skip trying to remember your follow ups. It canât be relied upon. Instead of trying to remember to get into the habit of using one of the simple tips mentioned above. Follow up is a professional tool used in all jobs from restaurant servers to CEOs. If you are good at it, you will be branded as a trust-worthy peer and professional with whom other people will want to work. CAREER ACCELERATION Do you know what your next career step is? Many people donât. I want to help you accelerate your career by connecting you with your Free Instant Access to my eBook on how to construct your Career SMART Goals â" that will help you put together your actions and keep you accountable. Get your copy now and start your action plan today: CLICK HERE!
Biology Revision Online The Best Websites to Revise Biology
Biology Revision Online The Best Websites to Revise Biology Online Resources for Revising A Level and GCSE Biology. ChaptersWhy Use Websites to Revise?Prepare for Your Exams with A Level BiologyTry a New Way of Revising Biology with Seneca LearningFind What You Need to Learn at Biology ResourcesGrow Your Biology Knowledge with Pass My ExamsStudy Biology Well with Study WisePut Your Biology Revision in Safe Hands with BBC BitesizeLearn Biology with Love BiologyCrack those Biology Examinations with S-CoolAnd Something a Little Differentâ¦Biology is a beautiful and diverse discipline. Ranging from the microscopic organisms at the level of cells and bacteria, to the environmental issues facing ecosystems and biodiversity, biology takes in all manner of life on earth. If you think about it this way, itâs really quite an incredible subject.However, incredible or not, you still have to revise for your exams. And, whilst we will insist and insist and insist that trying to enjoy your subject is the key to success in your biology course, you may not be super-interested in the joys of the subject when you are stressing over your exam.So, letâs take a little step back and take a look at some of the key resources available to help you achieve the grades that you are striving for. For those interested, we have articles on the best biology books and textbooks for revision, on the best apps and podcasts for revising biology online, and on general biology revision advice. But here, we are focusing on websites that can see your revision through to the end. MahimaBiology Teacher 5.00 (10) £30/h1st lesson free!Discover all our tutors AndyBiology Teacher 5.00 (2) £15/h1st lesson free!Discover all our tutors AlishaBiology Teacher 5.00 (10) £9/h1st lesson free!Discover all our tutors SaifBiology Teacher 5.00 (9) £22/h1st lesson free!Discover all our tutors FrankBiology Teacher 5.00 (8) £90/h1st lesson free!Discover all our tutors HeavenliBiology Teacher £9/h1st lesson free!Discover all our tutors SiobhanBiology Teacher £60/h1st lesson free!Discover all our tutors MackenzieBiology Teacher 5.00 (2) £15/h1st lesson free!Discover all our tutorsWhy Use Websites to Revise?Websites are great for revision. Not only do they rid you of the necessity of carrying around your giant biology book all day long â" as all the information you need can be accessed from your mobile phone.But, moreover, they are usually designed with the aim in mind of presenting information in the simplest, most accessible way possible. And, unlike with books, they can change up the format â" giving you video, audio, slideshows, interactive quizzes, and more.This is not to knock books, mind you. Books are the indispensable resource for young scientists and students. But if you want to change up the way that you study, combining the more traditional methods with online technologies can keep you learning in different ways.Here are some of the best biology revision websites â" for both GCSE and A Level â" available.Prepare for Your Exams with A Level BiologyAs the name suggests, A Level Biolo gy provides revision resources for those studying towards an A Level biology exam â" whether for OCR, Edexcel, or AQA. The site is used by both teachers and students, and youâll find heaps of cool stuff on every subject from genetics to plant physiology to molecular and cell structure.Click through to your exam board and youâll find tailored content specifically for you. Or else, you can go straight through to past papers, mind maps, quizzes, and PowerPoints.Some of the content is only available to premium members of the site, but even those looking for free material will find what they need.Rather than books, try websites for studying biology.Try a New Way of Revising Biology with Seneca LearningSeneca Learning is a new site (currently in beta mode â" meaning that it is not yet fully functional) that claims to double the speed at which you revise. Itâs hooking students of all subjects and now boasts over 800,000 members.The content on offer is really striking, as glossy ima ges are combined with clear and precise information presented in bullet points. The information is presented like an interactive slideshow that you can pace yourself.The presentations cover A Level, GCSE, iGCSE, and International Baccalaureate courses, and diverse topics from gene mutation, protein synthesis, and cell membrane to ecosystem management and sexual reproduction. Everything you need for the biology exam will be here.Find a biology tutor now.Find What You Need to Learn at Biology ResourcesBiology Resources is an online cupboard full of incredibly helpful documents, notes, question papers, discussion prompts, videos, and ideas for experiments. It also has a load of PowerPoint presentations for biology revision too.This is mainly an option for students and teachers of GCSEs and iGCSEs â" and it is actually designed with teachers in mind â" but it is a helpful resource for any level of student looking to get to grips with the basics of the subject.With good, comprehensive information on all of the biology topics in the curriculum, Biology Resources allows you to study, in depth, the organs and tissues of animals, the principal elements of the study of life, heredity, genes, and plant reproduction. MahimaBiology Teacher 5.00 (10) £30/h1st lesson free!Discover all our tutors AndyBiology Teacher 5.00 (2) £15/h1st lesson free!Discover all our tutors AlishaBiology Teacher 5.00 (10) £9/h1st lesson free!Discover all our tutors SaifBiology Teacher 5.00 (9) £22/h1st lesson free!Discover all our tutors FrankBiology Teacher 5.00 (8) £90/h1st lesson free!Discover all our tutors HeavenliBiology Teacher £9/h1st lesson free!Discover all our tutors SiobhanBiology Teacher £60/h1st lesson free!Discover all our tutors MackenzieBiology Teacher 5.00 (2) £15/h1st lesson free!Discover all our tutorsGrow Your Biology Knowledge with Pass My ExamsPass My Exams is a website specialising in revision resources for GCSE science, with significant databases of notes o n physics, chemistry, and biology.All the notes come as simple text files or as animated presentations, with cute pictures and features that make the whole revision process a little more engaging.The thing about Pass My Exams is that the content is really comprehensive, with detailed information on literally every part of the course. So, if you are after clear, compelling, and creative notes that cover everything â" from enzymes to osmosis to photosynthesis â" this may well be the best place to come.With a computer, you have access to hundreds of different biology resources online.Study Biology Well with Study WiseThis is one for everyone. Study Wise is a website that hosts information relevant to both A Level students and those at GCSE level â" no matter which exam board you are studying for.Study Wise works a bit differently than the other websites, as it has a variety of contributors that upload revision worksheets, notes, and questions and answers. Itâs a little more like a portal to other revision resources on the internet. Whilst this means that the information is much more widely ranging, it means that the quality is not always consistent â" so keep your eyes peeled.However, with links to past papers and mark schemes, as well as a section on general study tips, it is a handy site, for any subject you are studying. Look up for A Level biology tutor now.Put Your Biology Revision in Safe Hands with BBC BitesizeRun by the largest broadcasting organisation in the world â" the BBC â" Bitesize is a go-to revision resource for thousands and thousands of students across the UK and has been for many years. No matter what you are studying, you will almost certainly have come across this website in the past, and it is as good as its reputation suggests.Whilst Bitesize is undergoing something of a renovation, with new content being developed right now, the resources available for GCSE students (the new content for A Levellers is forthcoming) are really w onderful.Say you want to know about cell division. You can go through and select which exam board you are studying for and find pages and pages of gorgeously designed revision materials. Youâll find here everything from a chromosome to the structure of DNA, as well as everything related to this â" from cloning to the nature of the nucleus.Understand the world around you, by studying biology.Learn Biology with Love BiologyLearn Biology is a website dedicated to GCSE biology â" and it is probably the best place for online biology quizzes.The website hosts over fifteen hundred multiple choice questions, divided into lots of different specific quizzes. You have ten minutes to complete each quiz and each one gives you feedback and helpful biological information on where you went wrong (if you went wrong!). And if you donât do as well as you want to, you can go back and do the quiz again with different questions!Alongside the main quiz, there are keyword questions, in which you have to pick the correct word for the given definition.Crack those Biology Examinations with S-CoolS-Cool boasts seven million users â" students who have revised with the website over the years. And it claims that sixty percent of its users achieved a grade above a B. Itâs not a bad record, but its revision resources would be worth a look regardless.Split into the whole raft of different GCSE and A Level topics, S-Cool provides dedicated revision banks on each. If you register with the website, once you have read the revision material, you can test yourself on it, and then receive further guides on the material that you have just covered â" to make it sink in properly.Another perk of signing up is that you can create your own revision timetable with the tasks from the website â" so you know precisely what progress you are making.And Something a Little Differentâ¦Alongside these sites, which are designed for revision, you can push your studies to the next level by reading around th e subject â" and there are plenty of websites that can provide you with information that will fill you in on whatâs going on in the actual world of science these days.The science pages of The Guardian, The New York Times, and the BBC, just as examples, are brilliant sources of information on contemporary discoveries in science â" in genetics, evolutionary theory, or neuroscience.Reading stories that come from outside of your textbook â" or outside of your school syllabus â" can make the subject just a little more interesting, something that might help you reach the end of your revision period.
Thursday, March 5, 2020
Online Statistics Homework Help - Online Tutoring
Online Statistics Homework Help - Online Tutoring Statistics is the orderly collation of data, its analysis and description. Tutor Pace is an online Statistics Homework Help service for students who may suddenly find themselves unable to cope with this difficult subject. Subjects are not intrinsically difficult or easy, it is the students thinking which makes it so. If students get bad results in their attempts to solve statistical problems they call the subject difficult. The truth is that our comprehension of the subject is poor. Tutor Pace uses its unique system of Statistics Homework Help to instill confidence in the student while at the same time solving their immediate school assignments. The popularity of Tutor Pace is based on its easy availability on the internet for twenty four hours a day throughout the year. That means students have a virtual friend on whom they can rely day and night. Students need not panic because they know Statistics Homework Help is at hand at the click of a mouse button. Check the credentials The first thing a student should do is to gather information from fellow students and their parents regarding Tutor Pace. A prospective student can even search forums on the net to get feedback on the standing of this Statistics Homework Help organization. If satisfied the student should enroll with Tutor Pace through a very secure online transaction. The student will be entitled to a comprehensive video chat session with an expert from Tutor Pace on their website. Students can ask all relevant questions about the methods employed by them for Statistics Homework Help. A vast subject Statistics is a vast subject. You have to know the basics before you progress to the advanced lessons. Each student determines the level of statistical lessons that he or she requires. This is decided in the beginning with the help of an online video chat with a tutor. The tutor assesses the strengths and weaknesses of the student and explains how the homework help will proceed in the future. A convenient time is set for the student to call up everyday and get Statistics Homework Help. The areas of assistance can be in hypothesis sampling, index numbers, law of large numbers, dispersions, averages, sampling distribution and many more aspects of statistics. There is no need in online tutoring to listen to facets of the subject a student is comfortable with. The student can jump to and from various topics. Communicating clearly Students who are able to pinpoint their problem to the tutor get the best results. Tutor Pace relies on patient teachers who make students comfortable first and then spend as much time as necessary to get details about the Statistics Homework Help required by the student. Handling software Sometimes tutors discover that the student does not have a problem with the lessons in statistics. The student may have a problem in the presentation of statistics using modern software programs. Presentation of statistics using pie charts, graphs and columns is an essential part of the subject. In this case the tutors concentrate their homework help to the student in the usage of various software programs. This is the reason for the popularity of Tutor Pace. Identification of the problem is more important than a wasteful dissemination of useless information.
GMAT Quant Strategies Summing an Arithmetic Sequence
GMAT Quant Strategies Summing an Arithmetic Sequence GMAT MBA Admissions Blog One of the more difficult GMAT problem types deals with summing an arithmetic sequence. Problem 157 in the 12th edition Official Guide is an example: 157. For any positive integer n, the sum of the first n positive integers equals (n(n + 1))/2. What is the sum of all the even integers between 99 and 301? (A) 10,100 (B) 20,200 (C) 22,650 (D) 40,200 (E) 45,150 In this problem the GMAT provides us with an equation, and we can use that equation along with a bit of algebra to solve the problem. However, this might not always be the case, and no doubt in the future the test writers will introduce problems without helpful hints - indeed there are a couple in the 12th and 13th editions of the OG. Consequently, students should know how to do this type of problem in general. First a definition: Arithmetic sequencesare ordered lists of numbers (on the GMAT these numbers are most likely integers) where the difference between adjacent numbers is constant. The most common example on the GMAT are lists of consecutive integers. For example: {1, 2, 3, 4, 5, 6}, or, in general, any list of the form {x, x + 1, x + 2, x + 3...} Arithmetic sequences are similar, but the difference between the terms can be anything. For example: {3, 7, 10, 13, 16}, {1/2, 5/2, 9/2, 13/2}, {2, 4, 6, 8, 10, 12, 14}, or, in general {x, x+ d, x + 2d, x+ 3d...} Everything we need to know about an arithmetic sequence can be summed up in three pieces of information: 1. The first (or last) term 2. The difference between the terms 3. The number of terms For the most part, the first two pieces of information are explicitly or implicitly stated. If we are summing even integers, the difference is two and the first and last terms must both be even regardless of the range stated in the problem. The third piece of information is something we generally have to derive for ourselves. I'm going to use a simple example to explain how to do this. How many integers are there between 7 and 15, inclusive? Intuitively, it seems like we should find the difference between the two numbers, 15 - 7 = 8, and that will be the number of terms. If we take the brute force approach of actually listing the integers we find that the intuitive approach is off by 1: {7, 8, 9, 10, 11, 12, 13, 14, 15}. If you count the integers, you'll find that there are nine of them in the list. It might seem like we should just take the brute force approach every time we need to solve this sort of problem, but for larger sets this would be impractical. So, why is the intuitive approach incorrect? It pretty simple - by subtracting the 7, we don't include it in the set, and the count is off by one. To compensate for this, we add one to the difference. If x is less than y, the number of integers between xand y, inclusiveis y- x + 1 We have to modify this formula if we want to use it count an arithmetic sequence where the difference between terms is greater than 1. If d is the difference between the terms in the sequence, and xis less than y, then the number of terms in the sequence is (y- x)/d + 1 We have to be a bit careful applying this formula. If we're asked to find the number of multiples of 3 between 2 and 34, our first term is not 2, it's 3, and our last term isn't 34, it's 33 - this is because we're only counting multiples of 3. So, now that we know how to count the number of terms we can move on to finding the sum of the terms. First we need a couple of definitions 1. The averageor arithmetic meanof a set of numbers is The sum of the terms/The number of terms For example, the average of the first 5 positive even integers (2, 4, 6, 8, and 10) is (2 + 4 + 6 + 8 + 10)/5 = 30/5 = 6 2. The medianof a set of ordered numbers is the middle term of the set or the average of the two middle terms. That is, if an ordered set has 5 numbers, the 3rd term will be the median; if an ordered set has 6 numbers, the average of the 3rd and 4th terms will be the median. Two examples: To find the median of the set {8, 17, 7, 13, 4}, we order the terms of the set from least to greatest (or vice versa) and find the middle term. The middle term of the set {4, 7, 8, 13, 17} is 8. So the median of the set is 8. To find the median of the set {8, 17, 7, 13, 4, 31} we follow the same procedure, but now we take the average of the two middle terms. The average of the two middle terms of the set {4, 7, 8, 13, 17, 31} are 8 and 13. So the median of the set is (8 + 13)/2 = 10.5 Arithmetic sequences of numbers have the nifty property that the median and mean of the set are the same number. Mean of an arithmetic sequence = Median of an arithmetic sequence Furthermore the mean of an arithmetic sequence is just the average of the first and last term, and since the median is equal to the mean, the median is also the average of the first and last term. If this seems mysterious, remember that there is a geometric interpretation of the mean. The mean of two numbers on the number line is the midpoint, e.g. the mean of 1 and 7 is 4, because the distance from 1 to 4 is equal to the distance betwen 4 and 7. In an arithmetic sequence the midpoint between the first and last term is exactly the median. Now let's derive the formula for the sum of an arithmetic sequence. Recall that Mean = Sum of terms/Number of terms Therefore (Mean)(Number of terms) = Sum of terms So, if xis the first term of an arithmetic sequence,yis the last term, and d is the difference, the sum of the sequence is [(x+ y)/2][((y - x/)d) + 1] = Sum of terms Now let's return to problem 157 from the 12th OG: 157. For any positive integer n, the sum of the first n positive integers equals (n(n + 1))/2. What is the sum of all the even integers between 99 and 301? (A) 10,100 (B) 20,200 (C) 22,650 (D) 40,200 (E) 45,150 Because we are only concerned with the even integers, the first term of the sequence is 100 and the last term of the sequence is 300. The mean of the sequence is (100 + 300)/2 = 400/2 = 200 The number of terms in the sequence is ((300 - 100)/2) + 1 = (200/2) + 1 = 100 + 1 = 101 Thus, the sum of the sequence is (101)(200) = 20,200 The explanation is the OG is much more convoluted, with unnecessarily obscure notation. The method presented here is clean and quick. Try it for yourself. 1. Find the sum of the first 100 positive integers 2. Find the sum of all the multiples of 3 between 1 and 100 3. Find the sum of the multiples of 7 between 47 and 624 4. The sum of a set of 50 consecutive positive odd numbers is 172. Find the fist and last term of the sequence I hope you enjoyed this post. I will post answers to the questions with explanations in a subsequent post. Please visit our GMAT Tutoring page to learn more about MyGuru's approach to test prep. About the Author John E. is a Senior MyGuru GMAT tutor in Chicago. He also tutors the GRE, SAT, ACT, and almost anything math related. He holds a B.S. in Mathematics and English from Indiana University, and a M.S. in Mathematics from UIC. He's scored in the 99th percentile on all of the above standardized tests, and has worked for MyGuru and other companies to develop proprietary test prep questions and explanations of difficult quantitative concepts to help students improve their GMAT scores. He's currently working with MyGuru to develop proprietary test prep material focused on the most difficult GMAT question types. Are you interested in more GMAT explanations and practice problems that are similiar to the above? hbspt.cta._relativeUrls=true;hbspt.cta.load(215486, 'c962711f-eb4d-4fa9-9c75-db61122354d0', {});
English Reading Exercise Interview With Stephen Hawking
English Reading Exercise Interview With Stephen Hawking Trying to improve your English reading skills? Heres an English reading exercise with questions based on an interview about life, the universe and everything with Stephen Hawking.English Reading ExerciseIs there a heaven and an afterlife? Do we only have the here and now? These are questions that have people have pondered since the dawn of time.To what do you believe we should attribute the universe?Do you think we should give this matter a little more thought than we actually do?Well-known physicist and cosmologist Stephen Hawking explained his take on these issues to the UKâs Guardian newspaper this week.Letâs read the text of the interview and then answer the questions afterwards:Interview with Stephen Hawking Photograph: Solar Heliospheric Observatory/Discovery Channel Ian Sample, science correspondent, Sunday 15 May, 2011 What is the value in knowing Why are we here?The universe is governed by science. But science tells us that we cant solve the equations, directly in th e abstract. We need to use the effective theory of Darwinian natural selection of those societies most likely to survive. We assign them higher value.Youve said there is no reason to invoke God to light the blue touchpaper. Is our existence all down to luck?Science predicts that many different kinds of universe will be spontaneously created out of nothing. It is a matter of chance which we are in.So here we are. What should we do?We should seek the greatest value of our action.You had a health scare and spent time in hospital in 2009. What, if anything, do you fear about death?I have lived with the prospect of an early death for the last 49 years. Im not afraid of death, but Im in no hurry to die. I have so much I want to do first. I regard the brain as a computer which will stop working when its components fail. There is no heaven or afterlife for broken down computers; that is a fairy story for people afraid of the dark.What are the things you find most beautiful in science?Scienc e is beautiful when it makes simple explanations of phenomena or connections between different observations. Examples include the double helix in biology, and the fundamental equations of physics.QuestionsWhat is the role to which Hawkins attributes science in the creation of the universe?What can we do when faced with this fact, according to Hawking? Are we powerless as a result?What is Hawkingâs view of death?What is his view of the afterlife? Do you think it can be considered bleak or positive?Do you think Hawkingâs perception of science is positive, negative or neutral?Did you find this blog helpful? Please share it on Facebook and Twitter.
5 things college prep students should do before winter vacation
5 things college prep students should do before winter vacation Tips from a Costa Mesa College Admissions Consultant: 5 Things College Prep Students Should do Before Winter Vacation Summer is over, and high schoolers are back in the classroom. Students who are in the 10th through 12th grade are now prepping for college in addition to staying on track in their courses. The college prep years can either be a fun and productive time or they can become incredibly overwhelming and stressful depending on how prepared a student is and if theyre able to work efficiently. Although each studentâs schedule will be tailored to their specific college goals, there are some things that every college prep student should do before they reach winter vacation. 1. Sign up for college entrance exams Its important to sign up for either the SAT or the ACT in advance of the actual test date because each testing program has strict cut off dates after which students will have to wait until the next test, sometimes months away. Once student know when theyre going to take the exam, they should take a practice test and get a baseline score. They can then work through a test prep booklet with the guidance of a tutor to assess their strengths and weaknesses and potentially improve their overall score before test day. 2. Take a college tour College prep students will also benefit from taking a tour of some of the college campuses they are most interested in. Deciding without visiting the campus leaves students with a big question mark in their mind regarding their future college experience. Its better for students to have an idea of what college life will be like to ease the transition. If students are not able to travel long distances to visit some of the schools on their list, they can visit their local university so that they can get an idea of campus life. Students can take an organized tour sponsored by the college, or they can go on their own with their family and take a look around (READ: 5 Things English Majors Should Do This Fall). 3. Get used to AP classes Many students start taking advanced placement classes as early as sophomore year. These classes require students to study and test at a much higher level and require an incredible amount of homework. One of the best things students can do is get used to the rigors of this type of a course, so they dont fall behind. They may need to work on study skills or learn how to study more efficiently, or they may need to develop more of a balance in their after school schedule. Students can also utilize the help of a tutor, study group, or their classroom teacher to get extra help when needed our private Costa Mesa AP tutors are here to help you succeed. 4. Join a club or organization In addition to working on academics and test prep, its important that college prep students have a chance to explore some of their interests so they can start thinking about what they might want to major in once in college. Most high schools offer several after school opportunities where students can explore personal interests. If a student is not interested in what their local school has to offer, they can often find activities for teens within their local community. Being involved in extracurricular activities help students find a balance in their schedule, allows them a chance to socialize with other motivated students, and looks great on college applications. 5. Refine study skills Study skills and personal organization will become essential during the college prep years. Students need to get things done as efficiently as possible, so they have time to complete all of their assignments, study for entrance exams, perhaps work a part-time job or volunteer within the community, and also just enjoy some free time to themselves. At this point, most students will know what study habits work best for their learning style, but they may need to work with a tutor a few hours here and there to stay on track. Our Costa Mesa private college admissions consultants have a 97% success rate. Call us today to learn more. All blog entries, with the exception of guest bloggers, are written by Tutor Nerds. Are you an education professional? If so, email us at pr@tutornerds.com for guest blogging and collaborations. We want to make this the best free education resource in SoCal, so feel free to suggest what you would like to see us write.
National Apprenticeship Week 2015
National Apprenticeship Week 2015 This week was National Apprenticeship week. One of the options open to students after the age of 16 is to train through an Apprenticeship scheme. In short, Apprenticeships are available across a range of sectors and at levels to suit all abilities. They aim to improve your skills, measure your capabilities and provide you with a nationally recognised qualification. This is a way of learning the skills necessary for various careers while earning at the same time. An Apprenticeship will often suit young people who do not want to go into full-time further or higher education, but still want to gain extra qualifications that are work related. There are more than 190 different occupations in which you can train through an Apprenticeship, from animal care to building trades, from administration to catering. For a level 2 apprenticeship you may need some GCSE subjects at grades A - C. For a level 3 programme (called an Advanced Apprenticeship) you will normally need five GCSEs, often including English, Science and Mathematics, or have already completed A-Level 2. To find an apprenticeship in your area head over to www.apprenticeships.gov.uk for more information.
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