Question

10. Mr. Brown bought a car for commuting to

work and completing errands. He found
that he traveled an average 1,100 miles per
month, with a standard of 100 miles. About 95% of the data lies in which interval

Answer 1

d = 5t + 20

your answer is there so i'll be on my way, Have a nice day!!

Answer 2

To determine the interval in which about 95% of the data lies, we can use the concept of standard deviation and the properties of the normal distribution.

Given that the average monthly mileage is 1,100 miles and the standard deviation is 100 miles, we can apply the empirical rule (also known as the 68-95-99.7 rule) for normally distributed data. According to this rule:

- Approximately 68% of the data lies within one standard deviation of the mean.

- Approximately 95% of the data lies within two standard deviations of the mean.

- Approximately 99.7% of the data lies within three standard deviations of the mean.

Since the standard deviation is 100 miles, we can conclude that about 95% of the data lies within two standard deviations of the mean.

Therefore, the interval within which about 95% of the data lies is:

1,100 miles ± (2 * 100 miles) = 1,100 miles ± 200 miles

So, the interval is from 900 miles (1,100 miles - 200 miles) to 1,300 miles (1,100 miles + 200 miles).