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3 years ago

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A large plane is able to cruise at 530 miles per hour. What is the ratio of miles per hour?

1 answer:

NeTakaya3 years ago

3 0

530 miles are travelled for every hour passed?

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Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

So

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$

Here

$\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )$

From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is

$P(Z < 2.37 ) = 0.9911$

and

$P(Z < - 2.37 ) = 0.0089$

So

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822$

=> $P(| \^ p - p| < 0.05 ) = 0.9822$

3 0

3 years ago

Solve by the substitution method<br> 6x+5y =-26<br> -9x+y= 56

lozanna [386]

Answer:

I think its well point form is (- 31/6, 19/2)

and equation form is x= - 31/6, y= 19/2

Step-by-step explanation:

Hope it helps!!!

4 0

3 years ago

What is the area of this figure? Enter your answer in the box.

GaryK [48]

Answer:

add area of p' gram and ️.

(20 x 16) + ( .5 x 20 x 8)

7 0

3 years ago

Can someone help me please In the diagram, VWX and XYZ are congruent equilateral triangles, and ∠VXY is 80o. What is the measure

Lelu [443]

Answer:

Step-by-step explanation:

its vwx = xyz

5 0

3 years ago

Read 2 more answers

What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/4)^x

Artyom0805 [142]

Answer:

Step-by-step explanation:

This graph is the parent function y = (1/4)x shifted down 3 units

So....the correct answer is : f(x)=(1/4)x −3

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3 years ago