At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 34 minutes and a standard deviation of 5 minutes. Using the empirical rule, determine the interval of minutes that the middle 95% of customers have to wait.

The interval of minutes that the middle 95% of customers have to wait is between 24 and 44 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 34 minutes, standard deviation of 5 minutes.

Interval of minutes that the middle 95% of customers have to wait.

Within 2 standard deviations of the mean. So

34 - 2*5 = 24 minutes.

34 + 2*5 = 44 minutes.

The interval of minutes that the middle 95% of customers have to wait is between 24 and 44 minutes.

the line of

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl