The manager of a gas station has observed that the times (in minutes) required by drivers to fill their car's tank and pay are quite variable. in fact, the times are exponentially distributed. if the probability that a driver can fill his/her car in less than 6 minutes is 0.536630630768825, what is the mean time required to fill a car?

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)

4.5(4 − x ) + 36 = 202 − 2.5(3x + 28) now multiply from the paranthesis

18 -4.5x + 36 = 202 -7.5x + 70 will add the numbers

54-4.5x = 272-7.5x move x to the left and numbers to the right

7.5x-4.5x = 272-54 make the difference

3x = 218 and divide by 3

x= 72