(question 1.08)

a cosine function has a period of 3, a maximum value of 20, and a minimum

value of 0. the function is a reflection of its parent function over the x-axis.

which function could be the function described?

f(x)=−10cos(2π3x)+10 f(x)=−10cos(3x)+10 f(x)=10cos(2π3x)+10 f(x)=10cos(3x)−10

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?