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.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11