Let f(x) = 2x^3-9x^2+13x-3. (1) Determine the quotient Q(x) and the remainder when f(x) is divided by (x-1)(2x-3). (2) Hence calculate the remainder when f(x) is divided by (x-1). (3) Calculate c if Q(x) is a factor of f(x) +c

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?