High temperatures in a certain city for the month of August follow a uniform distribution over the interval 67 to 94 degrees. What is the probability that a randomly selected August day has a high temperature that exceeded 72 degrees F? Show your work.

The probability that a randomly selected August day has a high temperature that exceeded 72 is = 0.518

Step-by-step explanation:

Temperature interval for month of august = 67 to 94

Probability density function

f (x) = 0.037      Range 67 < x < 94

the probability that a randomly selected August day has a high temperature that exceeded 72 is calculated by multiplying the range with Probability density function .

Range = 86 - 72 = 14    &  f (x) = 0.037

Thus Probability

P ( 72<x<86 ) = 14 × 0.037

P ( 72<x<86 ) = 0.518

This is  the probability that a randomly selected August day has a high temperature that exceeded 72.

  B. 5 seconds

Step-by-step explanation:

A graphing calculator shows the answer easily.

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h(t) = 0 = -16t^2 +400

t = √(400/16) = 5

It will take 5 seconds for the sandbag to hit the ground.