The smiths are sending out a batch of holiday cards. emily signed of the cards. then josh signed of the remaining cards. tatiana signed 20% of what josh had left. if there were 75 cards in all, how many cards are left to be signed?

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?