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eimsori [14]
4 years ago
6

A set of test scores is normally distributed with a mean of 78 and a standard deviation of 4.5. Dwayne scored 87 on the test. Wh

at is his percentile score?
A.97.5 percentile

B.99.85 percentile

C.87 percentile

D.47.5 percentile
Mathematics
2 answers:
notka56 [123]4 years ago
7 0
<span>The percentile score would most likely be 97.5, Hope this helps!! :D

</span>
rodikova [14]4 years ago
6 0

Answer:

A.97.5 percentile

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nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = \frac{81}{130} = 0.6231

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when M = 0.04

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}

\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}

n = 563.8

Rounding up

We need a sample size of 564.

4 0
3 years ago
The area of a square tile is the same as the area of rectangular tile that is 18 inches long and 18 inches wide.
Ahat [919]

Answer:

area \: of \: square \:  = area \: of \: rectangle \\ area \: of \: square \:  =  \: 18 \times 18 \\ area \: of \: square \:  = 324 \\ side \: of \: square \:  =   \sqrt{area \: of \: square}  \\ side \: of \: square \:  =  \sqrt{324}  \\ side \: of \: square \:  = 18 \: inches

Step-by-step explanation:

<h2>HOPE IT WILL HELP YOU✌✌✌</h2>
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3 years ago
Find the value of 4th terms by using 3n-2​
Serga [27]
10 is the answer I think
7 0
3 years ago
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All of the middle school mathletes solve math problems at the same pace. Working together, six mathletes complete all of the sum
guapka [62]

Answer:

5 1/2 hours

Step-by-step explanation:

by a factor of 5 means times 4

6*4=24

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4 1/5 + b = 9 3/5

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0 + b = 5 2/5
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b = 5 2/5
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