Ms. Brockman wants to take her class on a trip to either the nature center or the zoo. The nature center charges $4 per student, plus $95 for a 1-hour naturalist program. The zoo charges $6 per student plus $75 for a 1-hour guided tour. Find the number of students where the two field trips would have the same cost.

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?