The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yearly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%

Answers

Answer 1
Answer:

The variation in the yearly salaries can be explained by the differences in employee ages up to40.1%.

When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:

= (Correlation coefficient)² x 100%

= 0.633² x 100%

= 0.4007 x 100%

= 40.1%

In conclusion, 40.1% of the variation in salary can be explained by age.

Find out more at brainly.com/question/3560028.

Answer 2
Answer:

Answer:

The answer is 40.1%

Step-by-step explanation:

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A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answers

Given:
Average salary = 37,500
differ as much as 4,500

37,500 + 4,500 = 42,000
37,500 - 4,500 = 33,000

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Step-by-step explanation:

what is the completely factored form of t^4 − 16? (t^2 4)(t^2 − 4) (t^2 4)(t 2)(t − 2) (t^2 4)(t − 2)(t − 2) (t 2)(t 2)(t 2)(t − 2)

Answers

Use:a^2-b^2=(a-b)(a+b)\n\nt^4-16=(t^2)^2-4^2=(t^2-4)(t^2+4)=(t^2-2^2)(t^2+4)=(t-2)(t+2)(t^2+4)

Solve the equation 5m+4m=72

Answers

First of all we group our m's together. 
So first add
 5m + 4m = 9m 

Now lets set up our equation again 
9m = 72 .... divide both sides by 9 to get m alone
÷9  = ÷9 
************   now m is alone on the left side and we solve on the right side.
m = 8 

So your answer is 
m = 8 


Hello my friend

9m=72

Divide both sides by 9 so you can find the value for m

9m/9=72/9

m=8


I hope that's help:)

Three times a number (n) is 36 less than five times the number (n). What is the number?

Answers

18

i am doing it on edg 2020 now

Final answer:

The number in question is found using simple algebra to setup and solve the equation given in the problem. The solution is n = 18.

Explanation:

The question is about finding a number (n), such that three times the number (n) is 36 less than five times the number (n). This can be solved using simple algebra.

Firstly, we setup the algebraic equation according to the problem:
3n = 5n - 36

To solve the equation, you subtract 3n from both sides to bring all n on one side:
5n - 3n = 36
Which simplifies to:
2n = 36

Now you solve for n by dividing both sides by 2:
n = 36 / 2
The result is n = 18. So, the number in question is 18.

Learn more about Simple Algebra here:

brainly.com/question/35523443

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What two numbers add to 10 and multiply to -192? How do you find it?I know I already asked this but I wasn't able to find the numbers. Please help me.

Answers

There is a way to do this algebraically using equations, but it is really messy so I am going to go over the way to do it. The way you do this is by finding whole numbers that multiply to make -192. Start with 1 and 192, 2 and 96, 3 and 64, etc and make the smaller number negative. 
The reason why you make the smaller number negative is because we are looking for what numbers add together to make a positive number (10). If the bigger number was negative, then we would get a negative sum. 
From what i could find, there aren't any whole numbers that satisfy this, and i doubt that the question would want you to find decimals for this. 

The way to find this with equations (in short) is to have to variables, x and y, and make two equations. in this case x+y=10 and xy=-192. Solve one equation for a variable and then use substitution to plug that variable into the other equation. if you do this you get really long decimals.

What are the x intercepts of the graph of this function? Y=6*2+10x - 4

Answers

x intercpe is when y=0

0=6x^2+10x-4
factor
0=2(3x^2+5x-2)
assume
0=3x^2+5x-2
0=(x+2)(3x-1)
set to zero
x+2=0
x=-2
3x-1=0
x=1/3

x intercepts are -2 and 1/3

D is answere
y = 6x^2 + 10x - 4
= 6x^2 + 12x - 2x - 4
= 6x(x + 2) - 2(x + 2)
= (6x - 2)(x + 2)

X intercepts are: -2 and 1/3 

it is D