Hi, Sani! We should set this up as an algebra problem with one variable - let's use x. Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3: x(x+3) = 40 x2 + 3x = 40 x2 + 3x + 40 = 0 Now,...
Hi, Sani! We should set this up as an algebra problem with one variable - let's use x. Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3: x(x+3) = 40 x2 + 3x = 40 x2 + 3x + 40 = 0 Now,...
Hi, Lola! The term "concerto grosso" is similar to saying "large concerto" - performed with a group of soloists - and "solo concerto" is similar to saying "individual concerto" - having only one soloist. Both the baroque & classical forms used orchestra...
That's a tricky question, so read carefully. You said "200 preschool children living in poverty are selected...", then you said "what about not living in poverty." That's two separate samples of 200 preschool students - 200 in poverty & 200 not in poverty. I...
First, set this up as an algebra problem, with the number of nickels as the variable x. The coefficients could be in dollars (i.e. 0.10 & 0.05) or pennies (10 & 5) - it would work just fine either way. For visual clarity & ease of computing, let's not use the decimal points: 5x...
Hi, Bob! Be sure to review your types of sampling designs & think about how unlikely it would be to get exactly 50 student responses from each college class using simple random sampling. Simple random sampling uses a numbered list, and randomly generated numbers are used to choose subjects...
Word problems require you to find the question & convert it into math symbols. Many students have difficulty with this, so don't feel bad about it. All it takes is some logical thinking, some discernment, a little stubbornness or cleverness, and plenty of practice. You can definitely improve...
Using elimination, we'll cancel out either x or y - whichever one is convenient - and leave the other one to resolve. Notice that there's a +9y in one equation & -9y in the other? We'll take advantage of that by adding the equations together: 6x +9y = 45 4x -9y = -75 ======== 10x...
Taylor's salary was multiplied by the Medicare percentage factor in order to find her deduction. We'll turn that operation backward to find her salary, but first convert 1.45% to a decimal by moving the decimal point 2 places to the left: 1.45%=0.0145 Next, divide her Medicare deduction...
Hi, Wathik! When manipulating fractions into forms in which we can add & subtract, we must be able to find common denominators. I assume you realize that the bottom number of the fraction is the denominator. We must be able to make equivalent fractions out of any fraction, so that we are...
Hi, Cynthia! You might have done this correctly - maybe you should have more trust in your instincts - but let's go through it together. Consiser the facts before us: 1. The initial cost estimate was $101 million. I believe we are expected to assume this was the amount budgeted...
Hi, Cynthia! You made two errors here, but only one of them is significant. The formula should be R=-0.037t + 50.1, where t is the number of years after 1925. So, let's start with the target time of 48.5 seconds. We are looking for those years when the record time is 48.5 seconds or less: 48...
I'm afraid I might not fully understand your question - which is to say I'm not certain what you are asking. Nonetheless, I will try to make my best speculation. If six friends enter college at the same time, one or more of them could graduate - though there is a 50% (0.5) probability that any...
Following the pattern I tried to describe in your previous question, start with your mean of 100 & mark 3 increments of 10 both below & above 100. The most common cases will fall right around 100 - from 90 to 110. The 2nd SD will include 80-89 & 111-120. The 3rd SD (called outliers)...
This distribution could have few samples or many samples, but the average - or mean - result is 10. The standard deviation of 3 tells us that a little more than 2/3 of all samples fall within +/-3 of that mean, so most results are from 7 to 13 (10-3 & 10+3). We call this the 1st standard...
Hi, Marilyn! I'm a nearby Wyzant tutor with much experience teaching algebra & general mathematics. That you're taking your class online could make scheduling tutoring sessions a bit easier & meeting location somewhat flexible. I work full time, but I'm often available after 5 or 6 pm...
We must assume that you pose the question, exactly as written, from a quiz, worksheet, homework, etc.: "What can be inferred after performing the experiments in the Atomic Theory lab?" The wording of this question implies that you already participated in an Atomic Theory lab...
When you say you want to learn to "do" quadratic equations, I take it to mean that you wish to learn to solve for the variable. Since you seem to be new at it, let's assume that you want help with some basic concepts that will help you move along toward the deeper concepts. The...
As tutors, our work puts us in an odd position. While part of our income depends upon spending time serving students, serving students means that we help them improve until they no longer need our assistance. In this sense, we work to make ourselves unnecessary. Some people might speculate that we would be motivated therefore to work less efficiently, to drag things out & spend more... read more
This is a problem of solving a triangle using the law of cosines: the square of measure of the unknown side is equal to the sum of the squares of the other two sides minus 2 times the product of those sides times the cosine of the angle opposite the unknown side. That the boats are traveling...
If this is a multiple-choice question, let's eliminate two possibilities immediately - I believe there has been no Supreme Court decision ever to cause slave settlements to be created. The Dred Scott decision settled the other two choices, at least for the time being, and was controversial for...