The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. the function for the selling price of those hats is g(f( where g(x) = x + 2. find the selling price of 10 hats. a. 6 b. 8 c. 10 d. 12

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?