Friday, June 19, 2020

The Mathematical Mean vs. Average Speed on ACT Math

Not all averages are created equal on the ACT Math Test. What can be somewhat confusing is that the word â€Å"average† on the ACT Math can refer to two separate concepts: the arithmetic mean, and the average speed. It’s important not to confuse the two on the Test Day, as they require different formulas to solve! Here’s what you need to know to tell these two apart! The â€Å"arithmetic mean† is what you’ve probably learned in your high school Algebra class as the mathematical average. This is defined as the sum of the terms divided by the number of terms. Mean = (Sum) / (# of terms). For a list of consecutive integers or evenly spaced numbers, the mean is equal to the median, or the middle number. For example, the â€Å"average† of 3, 5, and 9 is 5.67. This is the most-common â€Å"average† and the easier of the two concepts. The concept of â€Å"average speed† is often found in complex word problems. This type of question is one many students are less familiar with so you may not have seen it before (and that’s ok). Lets review two important equations to remember and look at how this concept appears on the tough ACT word problems. The first formula to memorize is: D = R x T. This stands for Distance = Rate x Time (referred to as the â€Å"DIRT† formula). It is perfectly acceptable to also think of it as Time = Distance / Rate or as Rate = Distance / Time as well. Usually the â€Å"Rate† is speed but it could be anything â€Å"per† anything. In a word problem, if you see the word â€Å"per† you know this is a question involving rates. The second formula is: Average Rate = Total Distance / Total Time. This is its own special concept and you will notice that it is NOT a simple Average of the Speeds (which would be something like the Sum of the Speeds / the Number of Different Speeds or what we know as the Arithmetic Mean). Average Rate is a completely different concept, so do not let the common word â€Å"average† confuse you. This concept is extremely rare on the ACT Math section, but it’s nice to know the formula in case it comes up! Let’s look at a challenging sample question: The average (arithmetic mean) of four numbers is 30. When one of the numbers is removed, the average of the remaining three numbers is 10.   What number was removed? (A) 30 (B) 45 (C) 60 (D) 75 (E) 90 We know that the four original numbers sum to 30*4 = 120.  Ã‚  The new equation becomes: 120 x = 30   (add an x to each side and subtract a 30) 90 = x The correct answer is (E).

Thursday, June 11, 2020

What Are the Most Important Things to Remember When You Are Writing an Essay

What Are the Most Important Things to Remember When You Are Writing an Essay?My writing essay is the least important part of the whole essay. There are many students who apply for scholarships, but they do not understand how to write a good essay. They should learn how to write an essay in order to succeed in college. This article will tell you the importance of writing a good essay that will help you get accepted into college.The first thing that you should know when it comes to writing an essay is that there are different kinds of essays. You can choose the type of essay that suits your need. The topic of the essay writing style can help you determine the kind of essay that you need.A writing essay can have a topic that you are interested in. For example, you can write about your hobbies or your passions. However, you cannot write about a subject that does not interest you. It will be difficult for you to come up with an interesting topic to write about. If you find something inter esting to write about, you should write about it.Writing an essay does not only mean writing an essay, it also means writing a report. This means that you need to write a report on something that interests you. You need to write about something that is related to your topic. Remember that the subject of your topic should be related to your topic.If you want to succeed in college, you should be prepared to write a lot of essays. There are many things that you need to learn about essay writing. It is important that you can write well. However, this cannot be done if you are unprepared.The last thing that you need to remember when you are going to write an essay is that you need to have a topic. If you don't have a topic, you can ask someone to write one for you. You can ask your relatives, your friends, your classmates, or your teacher. You can even ask your teachers to give you a sample.Writing an essay should be fun. This means that you should be creative and have some imagination. You can let your imagination take over when you are writing an essay. You should be able to do this when you are writing an essay on your hobby or something that you enjoy doing.There are many things that you need to consider when you are applying for scholarships and grants. It is important that you are prepared when you are going to write an essay. If you want to succeed in college, you should be prepared when you are going to write an essay.