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Oliga [24]
3 years ago
15

8 gal/h = ________ pt/min

Mathematics
1 answer:
docker41 [41]3 years ago
5 0
1gal=8pt\\1h=60min\\\\8\ gal/h=8\times\frac{8pt}{60min}=\frac{64}{60}\ pt/min=\frac{16}{15}\ pt/min=1\frac{1}{15}\ pt/min
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3/4 of a mile until he reaches the end of the path.

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3 years ago
Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of
maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Out of 100 people sampled, 42 had kids.

This means that n = 100, \pi = \frac{42}{100} = 0.42

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

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2 years ago
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