Scientists are comparing two planets to determine the difference in size. the scientists are using exponential notation to save space in their calculations. they know that planet delta is 57 cubic meters, and that planet epsilon is 53 cubic meters. how many planet epsilons could fit inside of one planet delta? in other words, how many times larger is planet delta than planet epsilon?

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?