Aphysical fitness association is including the mile run in its secondary-school fitness test. the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 50 seconds. the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition. what time would the boys need to beat in order to earn a certificate of recognition from the fitness association? (8 pts)

The boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 450

Standard Deviation, σ = 50

We are given that the distribution of time for fitness test is a bell shaped distribution that is a normal distribution.

Formula:

We have to find the value of x such that the probability is 0.10

P(X<x) = 0.10

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

Hence, boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

5104.38 inches

step-by-step explanation: