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Lina20 [59]
2 years ago
5

the function d(x) represent the distance traveled by a train traveling 80 mph during t hours after 1:00 pm. what does d (5)-d(2)

represent?
Mathematics
1 answer:
Tema [17]2 years ago
7 0
The function d(t) represents the distance traveled by the train after t hours. d(5) is the total distance traveled by the train after 5 hours, which means 6:00 pm. The d(2) is the total distance traveled by the train after two hours, 3:00 pm. The expression d(5) - d(2) represents the total distance traveled by the train from 3:00 pm to 6:00 pm or for traveling at a constant speed for 3 hours. 
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We are given the <u>standard deviation for the population</u>, hence, the z-distribution is used. The parameters for the interval is:

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The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which z is the critical value.

We have to find the critical value, which is z with a p-value of \frac{1 + \alpha}{2}, in which \alpha is the confidence level.

In this problem, \alpha = 0.95, thus, z with a p-value of \frac{1 + 0.95}{2} = 0.975, which means that it is z = 1.96.

Then:

M = 1.96\frac{6.37}{\sqrt{50}} = 1.77

The confidence interval is the <u>sample mean plus/minutes the margin of error</u>, hence:

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\overline{x} + M = 12.17 + 1.77 = 13.94

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

A similar problem is given at brainly.com/question/22596713

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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