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erastovalidia [21]

2 years ago

9

The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ran

ked by revenues. According to Catalyst, 16% of positions on corporate boards at Fortune 500 companies were held by women in 2018. A random sample of 100 Fortune 500 companies was selected. The standard error of the proportion is ________.

1 answer:

Serjik [45]2 years ago

4 0

Answer:

The standard error of the proportion is 0.0367.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the standard error is $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.16, n = 100$

So

$s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367$

The standard error of the proportion is 0.0367.

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Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication

tia_tia [17]

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) $x = 6.2\times 12$ Given.

2) $x = \left(6+0.2\right)\times 12$ Definition of addition.

3) $x = 6\times 12 + 0.2\times 12$ Distributive property.

4) $x = 72 + \frac{2}{10}\times 12$ Definitions of multiplication and decimal number.

5) $x = 72 +[2\cdot (10)^{-1}]\cdot 12$ Definition of division/Associative property.

6) $x = 72 + [2\cdot 12]\cdot (10)^{-1}$ Associative property.

7) $x = 72 + 24\cdot 10^{-1}$ Definition of multiplication.

8) $x = 72 + \frac{24}{10}$ Definition of divsion.

9) $x = 72 + 2.4$ Defintion of decimal number.

10) $x = 74.4$ Definition of addition/Result

Natalia's work is wrong.

5 0

2 years ago

Sean and his sister, Betty equally mow 8/9th the total area of a lawn. What fraction of the total area did each of them mow? (Sh

Alexxx [7]

Since they mowed $\frac{8}{9}$ of the lawn in two equal parts, we need to split the pieces that were mowed into two equal groups. We know that in total they mowed 8 out of the total 9 pieces of lawn, so two equal groups that make 8 would be of size 4, since $\frac{8}{2}=4$ . Then they each mowed $\frac{4}{9}$ of the lawn.

8 0

2 years ago

Students at a high school were polled to determine the type of music they preferred. There were 1940 students who

Reika [66]

Answer:

students preferred alternative music

= 461/1940 ×100%=23.7%

6 0

2 years ago

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract

Zina [86]

Answer:

The equation of the line in standard form is

$x-4y=8$

Step-by-step explanation:

The equation of the line in point slope form is

$y-y1=m(x-x1)$

we have

$y-1=(1/4)(x-12)$

so

$m=1/4$

$(12, 1)$

step 2

Find the equation of the line in standard form

The equation of the line in standard form is

$Ax+By=C$

where

A is positive integer

B and C are integers

we have

$y-1=(1/4)(x-12)$

Multiply by 4 both sides to remove the fraction

$4y-4=(x-12)$

$x-4y=12-4\\x-4y=8$

8 0

2 years ago

Read 2 more answers

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi

Fynjy0 [20]

Given that Roger is building a storage shed with wood blocks that are in the shape of cubic prisms.

cube is basicallye a box which is made of squares. That is all the sides (lenght, width and height) are equal.

Now we have to determine, Can he build a shed that is twice as high as it is wide.

that means if width is 1 then height should be twice which is 2.

yes that is possible if we put one cubical prism over another cubical prism. then height of shed due to two prism will be twice than the width.

Hence correct choice should be "A. Yes. For every block of width, he could build two blocks high."

3 0

2 years ago

Read 2 more answers