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erastovalidia [21]
3 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 ________.
Mathematics
1 answer:
Serjik [45]3 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.

You might be interested in
What is the answer of -3 ____ -4
ruslelena [56]

Answer:

>

Step-by-step explanation:

-3 is greater than -4

3 0
3 years ago
A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordin
Anit [1.1K]

Answer:

y=5e^{2x}

Step-by-step explanation:

Let (x,y) represents a point P on the curve,

So, the slope of the curve at point P = \frac{dy}{dx}

According to the question,

\frac{dy}{dx}=2y

\frac{1}{y}dy=2dx

Integrating both sides,

\int \frac{dy}{y}=2dx

ln y=2x+ln C

ln y-ln C = 2x

ln(\frac{y}{C})=2x

\frac{y}{C}=e^{2x}

\implies y=Ce^{2x}

Since, the curve is passing through the point (0, 5),

5=Ce^{0}\implies C=5

Hence, the required equation of the curve is,

y=5e^{2x}

7 0
3 years ago
Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

4 0
3 years ago
-1/2(-5/6+1/3)<br> Simplify
ivann1987 [24]
Simplified the answer is 1/4 or 0.25 in decimal form
8 0
3 years ago
Cam rode her bike 5 times as far as Dante did. Dante rode 187 meters farther than Michael did. Cam rode 15.25 Kilometers. How ma
kiruha [24]
Let Dante's distant be x, Cam's will be 5x
Given that Cam rode 15.25 km
then
5x=15.25
x=3.05 km

thus Dante rod 3.05 km
but
1 km=1000m
thus
3.05 km=3050 m
But Dante rod 187 m more than Michael, the distance Michael will ride then  will be:
3050-187
=2863 m



4 0
3 years ago
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