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 answer is 40.1%

Step-by-step explanation:

I just took the test

Answer 2

The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.

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.

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Related Questions

If an angle of a parallelogram is two-third of
its adjacent angle, the smallest angle of the
parallelogram is
(a) 54°
(b) 72°
(c) 81°
(d) 108°

Answers

Answer:

We know that in a parallelogram two opposite angles are equal -

[tex] \\ \implies \sf \: 2x + 2y = 360 {}^{ \circ} \\ \\ \\ \implies \sf \: x + y = 180 {}^{ \circ} \qquad \quad \: (i) \\ [/tex]

Given -

angle x is equal to the two - third of it's adjacent angle y.

[tex] \\ \implies \sf \: x = \frac{2}{3} y \\ \\ \\ \implies \sf \frac{x}{2} = \frac{y}{3} = k \\ \\ \\ \qquad \sf \small \underline{ x = 2k \: \: \& \: \: y = 3k} \\ [/tex]

Now, by using equation (1) :

[tex] \\ \implies \sf \: 2k + 3k = 180 \\ \\ \\ \implies \sf \: 5k = 180 \\ \\ \\ \implies \sf \: k = \frac{180}{5} \\ \\ \\ \large{ \boxed{ \sf{k = {36}^{ \circ} }}} \\ [/tex]

Now, by putting the value of k in x and y.

x = 2k = 2 × 36 = 72° y = 3k = 3 × 36 = 108°

Therefore, the right option and smallest angle is b) 72°.

Give 3 expressions equivalent to the expression 24x+60

Answers

12x+30, 36x+90, 6x+15

means to find the only possible answer.

Answers

The answer is determine

Which real-world scenario can be described using the algebraic expression c/4?

Answers

Answer:

Baking c cookies and dividing them evenly among 4 friends.

Step-by-step explanation:

Use the number line to find the coordinate of the midpoint of segment DE

Answers

Answer:

x1+x2/2

7+11/2

18/2=9

Step-by-step explanation:

The midpoint of segment DE is 9 units.

It is required to find the midpoint of segment DE.

What is midpoint ?

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given:

By mid point formula we get,

The midpoint formula is applied when one is required to find the exact center point between two defined points.

The coordinate of point D is 7 units.

The coordinate of point E is  11 units.

According to given question we have,

The midpoint of segment DE

[tex]=\frac{x_{1} +x_{2} }{2} \\=(7+11)/2\\\\=18/2\\\\=9[/tex]

Therefore , the midpoint of segment DE is 9 units.

Learn more details about midpoint here:

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Solve for n. 11(n – 1) + 35 = 3n

Answers

11n - 11 + 35 = 3n

8n = - 24

n = - 3

Answer:

n = -3

Step-by-step explanation:

Simplifying

11(n + -1) + 35 = 3n

Reorder the terms:

11(-1 + n) + 35 = 3n

(-1 * 11 + n * 11) + 35 = 3n

(-11 + 11n) + 35 = 3n

Reorder the terms:

-11 + 35 + 11n = 3n

Combine like terms: -11 + 35 = 24

24 + 11n = 3n

Solving

24 + 11n = 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.

24 + 11n + -3n = 3n + -3n

Combine like terms: 11n + -3n = 8n

24 + 8n = 3n + -3n

Combine like terms: 3n + -3n = 0

24 + 8n = 0

Add '-24' to each side of the equation.

24 + -24 + 8n = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 8n = 0 + -24

8n = 0 + -24

Combine like terms: 0 + -24 = -24

8n = -24

Divide each side by '8'.

n = -3

Simplifying

n = -3

how to subtract 5/8 from 1 7/8

Answers

Answer:

7/8 - 5/8 = 2/8. Therefore the answer is 1 2/8.

Step-by-step explanation:

Answer: 1 2/8

Step-by-step explanation:

you take away 5 from seven so it becomes 2 then you put the 8 under and you still keep the one there

Point L is on line segment KM . Given KM = 5x + 10 , LM = 4x , and KL = 3x , determine the numerical length of KL

Answers

Answer:15

I know Bc I got it wrong that was the answer

A notebook costs $2.39 at Walmart. If the tax rate is 7%, what is the total cost at the register?

Answers

$2.39 is 100%
$x is 7%

2.39 x 7 = 16,73
16,73/100 = 0,17
the total cost is $2,56

If the multiplication expression below were written in exponential form, what
would the exponent be?
14 x 14 x 14 x 14 x 14

Answers

Answer:

14 x 14 x 14 x 14 x 14 = [tex]14^5\\[/tex]

Step-by-step explanation:

The candle maker makes a total of 454545 orange candles. This is 30\%30%30, percent of all the candles she made this week. How many candles did the candle maker make this week?

Answers

Answer:

150 candles

Step-by-step explanation:

what is the product of 3.5 and 1.82

Answers

Answer:

6.37

Step-by-step explanation:

Product means multiply.

3.5x1.82=6.37

The product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The product of 3.5 and 1.82

To calculate the product of 3.5 and 1.82:

We have:

Product of the numbers 3.5 and 1.82

= 3.5 ×1.8 (this represents a number expression)

The expression can define as the combination of constants and variables with mathematical operators.

Product of the numbers 3.5 and 1.82 = 6.37.

Thus, the product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.

Learn more about the arithmetic operation here:

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A sequence starts 1/2,1/4,1/8 follow your to write the next 3 terms in the sequence

Answers

Answer:

1/16, 1/32, and 1/64

Step-by-step explanation:

The denominator is multiplying by 2 while the numerator stays the same.

The product of a number and 7 decreased by 2

Answers

Answer:

(x× 7) -2

Step-by-step explanation:

(x× 7) -2

product of # = x

and 7 means to multiply

decreased by two means -2

Answer:

the product of a number and seven decreased by two is 7x-2

Step-by-step explanation:

a "product" is the answer to a multiplication problem. instead of writing a multiplication symbol (x) we can simply put the variable next to the number it is being multiplied to. (7x) so, a number (which can be written as any letter, since we don't know the exact number- it's a variable.) 7x decreased by 2 means subtracting. so, we get 7x-2.

hope this helps! best of luck <3

74°F, 65°F, 71°F, 65°F. 68°F, 78°F, 72°F. 67°F
What is the mean absolute deviation of this data set?

Answers

Answer:

3.75jgfbvuekdfb

Step-by-step explanation:

Use elimination to solve and match each system of equations to the correct solution

9x+4y=-72
2x-3y=-16

Answers

Answer:

Step-by-step explanation:

27x + 12y = -216

8x - 12y = -64

35x = -280

x= -8

2(-8) - 3y = -16

-16 - 3y = -16

-3y = 0

y = 0

(-8, 0)

Please help!! 2/3x-7=x

Answers

Answer:

-21

Step-by-step explanation:

Answer:

i know its already been answered but yes, it is -21

Step-by-step explanation:

hope it helps, can anyone look at my most recent question? i'll appreciate it

Shania is making an apricot drink for her 4 friends and needs 1/9 of a gallon of water to make the apricot drink. How much of the gallon of water will be in each of the 4 drinks?

Answers

answer:

4/9ths of a gallon

step-by-step explanation:

1/9×4 .change whole number to fraction: 1/9×4/1. multiply the numerators and the denominators together. 1×4 and 9×1. 1×4=4 and 9×1=9 so the answer is 4/9

in this diagram, AB and CD are Parallel. Angle ABC measure 35 and Angle BAC measure 115, what is the angle of ACE.

Answers

Answer:

180°

Step-by-step explanation:

I think this is the answer

because the line is straight from the point ACE

see

Solve:
3(x - 2) = 18

Answers

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

3

= 8

Step-by-step explanation:

Hope this helps? :))

[tex]\large\tt Step-by-step~explanation:[/tex]

To solve for x, we have to isolate the variable.

[tex]\tt Step~1:[/tex]

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]

[tex]\tt Step~2:[/tex]

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]

[tex]\tt Step~3:[/tex]

Finally, we divide both sides by 3 to isolate x and get our answer.

[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]

There are 12p calories in a 3/4 cup serving of cereal. How many Calories are there in 6 cups of cereal?

Answers

Answer:

960 calories in 6 cups of cereal

Step-by-step explanation:

Answer:96

Step-by-step explanation:

16 is in the 4/4 and 16 x 6 is 96

Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8

Answers

Answer: No solution

Step-by-step explanation:

To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.

(2x+y=4)2

-4x-2y=8

-------------------------------------------------------------------------------------------------------------

4x+2y=8

-4x-2y=8

Let's add both equations together.

0=8

-------------------------------------------------------------------------------------------------------------

Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.

2x+y=4              [subtract both sides by 2x]

y=-2x+4

-4x-2y=8           [add both sides by 4x]

-2y=4x+8          [divide both sides by -2]

y=-2x-4

-------------------------------------------------------------------------------------------------------------

If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.

A plumber charges $65 per hour to fix a leak. What is an equation that relates to the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak?

Answers

Answer:

The equation is C = 65h

Solve 2 s 2x + 4 < 10 for x.

Answers

Answer:

x=2

Step-by-step explanation:

2x2 =4

4+4=8

8<10

A map scale shows that 3 km = 2 cm. How many cm would represent 15 km on the map?
cm

Answers

Answer:

3 = 2

15 = 10

10 cm

Step-by-step explanation:

Which of the following numbers is irrational?
72

4
3
3, 5, VA
O?
0 3
O A

Answers

the square root of three when multiplied by itself if the number three it is more precisely call the principal square root of three the square root of three is an irrational number approved the irrationality

find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)

Answers

Answer:

(0,-1)

Step-by-step explanation:

Read each problem carefully and solve.
19. Ellie built 6/10 of a fort on Saturday and the rest on Sunday. How much of the fort did Ellie build on Sunday?

A. 1/100

B. 4/100

C. 60/100

D. 40/100

Answers

The answer is D, i’m almost positive.

0.75a=-9 Please show workkkkk

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 12}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: 0.75a = - 9}}[/tex]

Divide both sides by 0.75 . Thenafter, Calculate it

[tex] \hookrightarrow{ \sf{ \frac{0.75a}{a} = \frac{ - 9}{0.75}}} [/tex]

[tex] \hookrightarrow{ \boxed{ \sf{a = - 12}}}[/tex]

The value of a is -12

Hope I helped!

Best regards!

~ TheAnimeGirl

if I am 9 years old how old will i be in 29 years​

Answers

Answer:

YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self

Step-by-step explanation:

Answer:

you would be 38

Step-by-step explanation:

29 plus 9 equals 38

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