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Artemon [7]
3 years ago
12

(please explain how you got your answer, thank you)

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
A, 20%, because 21 divided by 105 times 100 is 20%.
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You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence\alpha = 0.98, z is the value of Z that has a p-value of \frac{1+0.98}{2} = 0.99, so the critical value is z = 2.327.

The population standard deviation is of \sigma = 23, and to find the sample size, we have to solve for n when M = 4.

Hence:

M = z\frac{\sigma}{\sqrt{n}}

4 = 2.327\frac{23}{\sqrt{n}}

4\sqrt{n} = 2.327 \times 23

\sqrt{n} = \frac{2.327 \times 23}{4}

(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
Is 90.31 greater than 90.302
mash [69]

Answer:

90.31 is greater than 90.302

Step-by-step explanation:

6 0
3 years ago
To solve n+7=15 you should first
sertanlavr [38]

Answer:

  1. Collect like terms and simplify
  2. Subtract 7 from both sides

Step-by-step explanation:

METHOD 1

n+7=15\\n =15-7\\n = 8

METHOD 2

n+7-7=15-7\\n =8

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!! ITS URGENT AND ILL NEED IT SOON, THANK YOU FOR ANY HELP GIVEN IN ADVANCED COMES WITH DIAGRAM
andrew11 [14]

Answer:

Try 458.96 (round if needed)

Step-by-step explanation:

First you find the volume of the cone. (pi*radius^2*h/3)

Then you find the volume of a cylinder. (pi*radius^2*h) add these two up.

You would have to subtract 12.5 and 8.5 to get the height of the cone.

Also you would have to subtract 6 inches off of your total.

(Sorry If this explanation sucked.)

6 0
3 years ago
Can someone help me? I’ll reward points + brainalist
Lera25 [3.4K]

Answer:

C

Step-by-step explanation:

The formula for the area of a trapezoid is: \frac{1}{2} (height)(sum of parallel lines)  

Thus, the formula in this question would be: \frac{1}{2} (4)(4+8) which is option C

4 0
3 years ago
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