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leonid [27]
3 years ago
14

Two​ high-speed ferries leave at the same time from a city to go to the same island. The first​ ferry, the​ Cat, travels at 34 m

iles per hour. The second​ ferry, the​ Bird, travels at 29 miles per hour. In how many hours will the two ferries be 5miles​ apart
Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

They will be 5 miles apart in 1 hour

Step-by-step explanation:

Here, we want to calculate the time it will take for the two ferries to be 5 miles apart

Mathematically; distance = speed * time

Let the number of hours be x

In x hours, the cat will have traveled 34 * x = 34x miles

In x hours, the Bird will have traveled 29 * x = 29x miles

So;

34x - 29x = 5

5x = 5

x = 5/5

x = 1 hour

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Step-by-step explanation:

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n_2 = 70    \bar x_2 = 106    \sigma_2 = 7.6

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H_a: \mu_1 - \mu_2 \ne 0 ---- Alternate hypothesis

\alpha = 0.05

Solving (a): The test statistic

This is calculated as:

z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}

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z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}

z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}

z = \frac{-2}{\sqrt{0.8820 + 0.8251}}

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This is calculated as:

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p = 0.1260

By comparison:

p > \alpha

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0.1260 > 0.05

So, we fail to reject the null hypothesis.

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3 years ago
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