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AlekseyPX
3 years ago
14

How do you convert 56 kilometers to inches

Mathematics
2 answers:
Margaret [11]3 years ago
4 0
In = km ÷ 0.0000254 This is the conversion. So 56 km / 0.0000254 = your answer.
Eddi Din [679]3 years ago
3 0
First, convert the kilometers to meters. The unit km will be on the bottom of the ratio, and meters on the top. Since the km is the larger unit, that one will be equal to 1, and the meters will be equal to 1000 (as the prefix kilo- refers to 1000). You should have then 56,000 meters. Next, you use the conversion of meters to inches, which is 1 meter for every 39.3701 inches. Place meters on the bottom of the ratio to cancel out your units, and make it equal to 1. Then place your inches on top, which is 39.3701 inches. The last step is to multiply your 56,000 meters by your value for inches. This will give you the number of inches that are equal to 56 km. This will be approximately 2,204,725.6 inches. Hope this helps!
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Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , 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 .

The margin of error is:

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

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \pi = 0.5

So

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

0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}

0.001\sqrt{n} = 2.327*0.5

\sqrt{n} = \frac{2.327*0.5}{0.001}

(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}

n = 1353732.25

Rounding up

A sample size of at least 1,353,733 is required.

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