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4 years ago

5

The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yea

rly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%

1 answer:

son4ous [18]4 years ago

6 0

Answer:

The answer is 40.1%

Step-by-step explanation:

I just took the test

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A tabletop in the shape of a trapezoid has an area of 5,350 square centimeters. Its longer base measures 135 centimeters, and th

borishaifa [10]

Answer:

54 cm

Step-by-step explanation:

Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):

A = 1/2 (h) (b1 + b2)

5350 = 1/2 (h) (135 + 65)

5350 = 1/2 (h) (200)

5350 = h (100)

5350/100 = h

h = 53.5

h ≈ 54 cm

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3 years ago

allyson can pay for her gym membership on a monthly basis, but if she pays for an entire years membership in advance, she'll rec

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Let 'x' represent the monthly membership fee for the gyp.

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But if she pay in advance 12x dollars she will receive $50 discount and pay $514:

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x = $47

The monthly membership fee is $47.

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3 years ago

If f(x) = 3x 7, what is f(-2)? a. -2 b. 13 c. 1 d. -1

MakcuM [25]

C. 1, if that its +7

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4 years ago

5. Given: AB = CD

Amiraneli [1.4K]

Answer:

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3 years ago

Prove that if x is irrational, then 1/x is irrational

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Proof by contradiction.

Let assume that when $x$ is an irrational number, then $\dfrac{1}{x}$ is a rational number.

If $\dfrac{1}{x}$ is a rational number, then it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ .

$\dfrac{1}{x}=\dfrac{a}{b} \Rightarrow x=\dfrac{b}{a}$

Since $a,b\in\mathbb{Z}$ , the number $x=\dfrac{b}{a}$ is also a rational number. But this contardicts our initial assumption that $x$ is an irrational number. Therefore $\dfrac{1}{x}$ must be an irrational number.

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3 years ago