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3 years ago

Something for which someone is responsible and it "takes money out of the pocket" is called a/an

Mathematics

1 answer:

DiKsa [7]3 years ago

8 0

Answer:

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Step-by-step explanation:

I JUST NEED POINTS

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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.

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

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

$P(Z < - 2.37 ) = 0.0089$

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

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

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

3 0

3 years ago

Find the slope of the line through the given points

coldgirl [10]

I can’t solve all of them but maybe one and I will give you the formula for you to solve the rest.
Slope = (y2 -y1) / (x2 -x1).
m= ( 16 -(-3)) / ( -14 -(-9))
m = (16+3)/(-14+9)
m = 19/ -5

7 0

3 years ago

The length of a new rectangular playing field is 4 yards longer than triple the width. if the perimeter of the rectangular playi

jasenka [17]

The length is 4 yards longer than 3width so L = 3W+4
perimeter equal 408 yards

perimeter equal 2L +2W = 2(3W+4)+2W

408 = 6W +8 +2W
400=8W

W = 50

L = 3*50 +4 = 154

L = 154
W = 50

P = 2L +2W
408 = 2*50 +2*154
408 = 100 +308
408 = 408

hope that this is easy understandably

8 0

3 years ago

Which is the outlier in this set of values?<br> 17 20 19 10 15 19 14 0 11 16

Musya8 [376]

Answer:

Zero is the outlier.

Step-by-step explanation:

the rest of the numbers are all two-digit numbers while zero is one digit and farther away on a number line.

hope i helped!

8 0

3 years ago

A bag of candy that weighs 3.48kg is divided equally.there is enough candy for 7.25 piles. What is the total amount of fabric sh

LenKa [72]

It would be 0.48kg of candy in each pile

8 0

3 years ago

Read 2 more answers