To generate a phone bill, observe the duration of the call in integer minutes (rounding up). Charge for m=1,2,3,… minutes if the exact duration is m−1<≤m. Let m denote the event that a call is billed for m minutes. The probability of each event m is:

P[m]=(1−)m−1where=1−(0.54)1/3≈0.186 .

a. Classify a call as long () if the call lasts more than three minutes,. What is P[L]?
b. What is the probability that a call will be billed for nine minutes or less?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1. what values should she substitute into the formula? a = a + b = x1 = x2 =

Sioux co. replaced the roof on its existing building, therefore increasing the building's life by 10 years. the cost of the roof is considered a(n):