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aksik [14]
3 years ago
13

Michelle rode her bicycle from her house to school at an average speed of 8 miles per hour. Later that day, she rode from school

back home along the same route at an average speed of 12 miles per hour. If the round trip took one hour, how many miles long is the round trip?
Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

9514 1404 393

Answer:

  9.6 miles

Step-by-step explanation:

Let x represent the round trip distance. Then Michelle's time was ...

  t = distance/speed

  1 = (x/2)/8 +(x/2)/12 = x(1/16 +1/24) = x(3/48 +2/48) = x(5/48)

  48/5 = x = 9.6

The round trip is 9.6 miles.

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A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th
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Answer:

At least 547 records need to be studied.

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 interval 1-\alpha, 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 1 - \frac{\alpha}{2}.

And the margin of error is:

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

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

In this problem, we have that:

M = 0.04, p = 0.35

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

0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.04\sqrt{n} = 0.93486

\sqrt{n} = 23.37

n = 546.2275

At least 547 records need to be studied.

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