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Scilla [17]
3 years ago
9

2 1/3 divided by 1/4

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0
Answer:

28/3

Step-by-step explanation:

2 1/3 divided by 1/4

We’ll start by 2 1/3

Multiply 3 x 2 and then add 1

3 x 2 = 6 + 1 = 7

Then add the denominator back

7/3

Now divide 7/3 by 1/4 like this!

Start by multiplying 4 by 7

4 x 7 = 28

Then multiply 3 by 1

3 x 1 = 3

Final results: 28/3
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Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<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:

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

In which:

  • \overline{x} is the sample mean.
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Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

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

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

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

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