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3 years ago

How many miles does it travel in 1 hour?

Mathematics

2 answers:

podryga [215]3 years ago

8 0

It would be 2.1 hours or about 2 hours.

It says the train travels about 2118 miles per 8 miles. So, divide 2118 by 8, which gives you 264.75 (when you see the word PER it usually indicates to divide). That gives you part A.

Then, you divide 560, (which is the distance between Columbus, Ohio, and New York) by 264.75 to see how many hours it took, which gives you 2.1152030217...., which simplifies to 2.1. Which gives you the answer for B.

So,
A is 560 and
B is 2.1 or 2

Naya [18.7K]3 years ago

3 0

If you sent up a proportion, 8/144
and simplify it to the unit rate, you get 1/268
and then set up the other fraction x/560.
divide 560 by 268 you get the answer of 2.089... hours

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2 years ago

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Answer:

(a) The sample size required is 43.

(b) The sample size required is 62.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

(a)

The information provided is:

σ = 4 minutes

MOE = 72 seconds = 1.2 minutes

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1.2}]^{2}\\\\=42.684\\\\\approx 43$

Thus, the sample size required is 43.

(b)

The information provided is:

σ = 4 minutes

MOE = 1 minute

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

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Thus, the sample size required is 62.

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