2
Find the area of the shape.
Either enter an exact answer in terms of or use 3.14 for it and enter your answer as a decimal.
units?

Answer:c

Step-by-step explanation:

Answer:

a) The mean is 0.8.

b) The standard deviation is 0.0365.

c) Normal

Step-by-step explanation:

Central Limit Theorem

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

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 sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

80% of Americans over the age of 25 have earned a high school diploma.

This means that [tex]p = 0.8[/tex]

Suppose we take a random sample of 120 Americans

This means that [tex]n = 120[/tex].

Question a:

The mean is:

[tex]\mu = p = 0.8[/tex]

The mean is 0.8.

Question b:

The standard deviation is:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.8*0.2}{120}} = 0.0365[/tex]

The standard deviation is 0.0365.

Question c:

By the Central Limit Theorem, approximately normal.

a) The mean is 0.8.

b) The standard deviation is 0.0365.

c) Normal

Here, we have,

we know that,

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean x and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean x and standard deviation s = σ/√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 sampling distribution of the sample proportion will be approximately normal with mean x=p and standard deviation s=√p(1-p)/n

80% of Americans over the age of 25 have earned a high school diploma.

This means that p=0.8

Suppose we take a random sample of 120 Americans

This means that n=120.

Question a:

The mean is:

x=p=0.8

The mean is 0.8.

Question b:

The standard deviation is:

s=0.0365

The standard deviation is 0.0365.

Question c:

By the Central Limit Theorem, approximately normal.

Learn more about standard deviation here:

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Answer:

C. f(x) = 40(1/4)^x

Step-by-step explanation:

Check all the options:

When x = 0

A. f(x) = 1/4(40)^x

f(x) = 1/4(40)^0

f(x) = 1/4(1)

f(x) = 1/4

When x = 0

B. f(x) = 1/2(40)^x

= 1/2(40)^0

= 1/2(1)

f(x) = 1/2

When x = 0

C. f(x) = 40(1/4)^x

= 40(1/4)^0

= 40(1)

= 40

When x = 0

D. f(x) = 4(1/3)^x

= 4(1/3)^0

= 4(1)

= 4

Answer:

Step-by-step explanation:

The x-intercept is 1, the y-intercept is 1. Convert it to slope-intercept form, then plug in 0 for y to find the x-intercept.

Answer:

Quadrant 1

Step-by-step explanation:

The slope of line shown in the graph is 1.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have two points from the graph as (8, 8) and (5, 5)

So, the slope of line

Slope = (5- 8)/ (5-8)

slope= (-3)/ (-3)

slope = 1

Also, rise 3 units and run 3 units

Then, slope= Rise/ Run

slope= 3/3

Slope= 1

This, the required slope is 1.

Learn more about Slope here:

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Answer:

( 0 , 1 ) ,  ( 1 , 0 )

( − 5 , 9 ) ,  ( 3 , 0 )

( 0 , 9 ) ,  ( 8 , 6 )

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

The y-intercept is 2, so you know that one point will be (0,2). The slope is 2/3 so you go 2 units up and 3 units to the right from (0,2).

Answer:

a) they have the same atomic number.

c) they all have 4 valence electrons.

Answer:Just slide it to the left and 2 units down then plot the points Step-by-step explanation:

Answer:

Step-by-step explanation:

Slide it to the left and 2 units down

Answer:

5x+12=-14=180

Step-by-step explanation:

sdvasdfasdfasdfawsdfasd

Answer:

the answer would be 31.25

Step-by-step explanation:

a1=25

r=.2

25/1-.2=31.25

Answer:

a

Step-by-step explanation:

as x goes up by 1 y goes up by 4

Answer:

C. rectangular prism

Step-by-step explanation:

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

1/ 2 n−3=5

Step 1: Add 3 to both sides.

1/ 2 n−3+3=5+3

1/ 2 n=8

Step 2: Multiply both sides by 2.

2*( 1/ 2 n)=(2)*(8)

n=16

Answer:

n=16

Answer:

n=16

Step-by-step explanation:

First you have to do 3+-3 to cross it out

then you have to add 3 to 5

lastly divide 8 and 1/2

Then you get your answer.

Answer:

You left out a critical piece of information in the question.

"reaches a height of of the maximum height"

Step-by-step explanation:

Answer:

no habla espenol :((

Step-by-step explanation:

According to given angles ,

Angle C=180- angle F (Linear pairs or st.line )

=70

Angle B = 180 - angle B (Same as above)

=80

Now

Angle D =Angle C + Angle B (Exterior angle property of a triangle)

=150°

Enjoy

Answer:

$3240.Step-by-step explanation:

there is no way to explain it on computer but hope this helps

Answer:

The smallest level of significance at which the null hypothesis will still not be rejected is 0.05.

Step-by-step explanation:

The [tex]p-[/tex] value of t-test is [tex]0.725009[/tex]. This [tex]p-[/tex] value is greater than [tex]0.05[/tex].

Hence, the null hypothesis is not rejected and conclude that there is no sufficient evidence of a difference in the mean amount of time required to reach a customer service representation between two hotels.

The complete question is :

Answer:

$32.20

Step-by-step explanation:

3 pounds are $27.60 and 1/2 a pound is half of $9.20.

So 3.5 gallons would be $32.20

Hope this helps!

Answer:

1.67x10^-27

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

infinite solutions :)

Step-by-step explanation:

infinity solutions, there is infininte possibilitys.