Data collected over a long period of time show that the length of time x to complete a particular college entrance test is normally distributed with an average of 125 minutes and a standard deviation of 18 minutes. Ordinarily entrance tests have a time limit. What maximum time limit should be set for this entrance test if it is desired to have no more than 8% of test takers fail to finish the test during that time limit? Round your answer to the nearest minute. Don't forget that we round all z values to two decimal places.

Less than 8% of test takers will take longer than 150 minutes to finish the test.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 125 minutes

Standard Deviation, σ = 18 minutes

We are given that the distribution of length of time is a bell shaped distribution that is a normal distribution.

Formula:

We have to find the value of x such that the probability is 0.92

Calculation the value from standard normal z table, we have,  

Thus, less than 8% of test takers will take longer than 150 minutes to finish the test.

6e14 is the answer.

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )