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andrezito [222]
3 years ago
14

Thirty percent of the fifth grade students in a large school district read below grade level. The distribution of sample proport

ions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?
Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer: 0.9088  

Step-by-step explanation:

Given : \mu=0.30

\sigma=0.045  

Let x be a random available that represents the proportion of students that reads below grade level .

Using z=\dfrac{x-\mu}{\sigma , for x= 0.36 , we have

z=\dfrac{0.36-0.30}{0.045}=1.33333

Using standard normal z-value table,

P-value = P(

P(z [Rounded yo the nearest 4 decimal places.]

Hence, the probability that a second sample would be selected with a proportion less than 0.36 = 0.9088  

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The graph of f(x)=cos(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 3 and shifting it
tresset_1 [31]

Answer:

g(x) = 3 cos (x+2)

Step-by-step explanation:

To transform functions use the following formula f(x) = a cos b(x -c) + d where:

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Here a = 3 and c = 2.

So the new function is g(x) = 3 cos (x+2).

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What is the slope of this line?
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2 years ago
Find the price-demand equation for a particular brand television when the demand is 20 TVs per week at $150 per TV, given that t
Alina [70]

Answer:

~150=50e^{-0.01()20}

~p(100)=\$127.7

Step-by-step explanation:

From the question we are told that:

Price of 20TVs per week P_{20}=\$150

Marginal price-demand function p'(x)=-0.5e-0.01x

Generally the The Marginal price function is mathematically given by

  p'(x)=-0.5e^{-0.01x}  

  p(x)=\int-0.5e^{-0.01x}  

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Therefore the equation when the demand is 20 TVs per week at $150 per TV

150=50e^{-0.01()20}

Giving

p(x)=50e^{-0.01x}+150-50e^{-0.01(20)}

Therefore the Price when the demand is 100 TVs per week

p(100)=50e^{-0.01(100)}+150-50e^{-0.01(20)}

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2 years ago
Are the ratios of free throws made to free throws attempted by the rockets and by the turbos equivalent?
LekaFEV [45]

Answer:

<h2>No, they're not equivalent.</h2>

Step-by-step explanation:

In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.

Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of

R=\frac{8}{24}=\frac{1}{3}

Team Turbos Made 16 free throws and attempted 36, which give a ratio of

T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}

As you can see, the ratio are diferent.

Therefore, the ratios are not equivalent.

6 0
2 years ago
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