An inlet pipe on a swimming pool can be used to fill the pool in 18 hours. The drain pipe can be used to empty the pool in 36 hours. If the pool is already two-thirds filled and then the drain pipe is accidentally opened, how long will it take to fill the pool once the drain pipe is opened?

In the diagram below, tan θ = sqrt 3. what is the value of m?

Alength on a map is 7.5 inches. thescale is 1 inch: 5 miles. what is theactual distance? a 1.5 miles c 12.5 milesb 2.5 miles d 37.5 miles

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?