A certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. How much does it cost to run this refrigerator for one year if the cost per kWh is $0.11?

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

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?

Jose is going to use a random number generator 500500 times. each time he uses it, he will get a 1, 2, 3,1,2,3, or 44.