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timama [110]
2 years ago
13

the ratio of isabellas money to shanes money is 3:11. if isabella hass $33 how mutch money do shane and isabella have together

Mathematics
1 answer:
valkas [14]2 years ago
3 0
3/11 = 33/x
cross multiply
3x = 11 * 33
3x = 363
x = 363/3
x = 121 <===Snane's money

121 + 33 = 154 <== together they have $ 154
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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:

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The margin of error is:

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

In which:

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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

#SPJ1

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