a ladder 8 meterds long leans against the wall of a building. if the foot of the ladder maked an angle of 68 degrees with the ground, how far is the base of the ladder from the wall?

Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $450 and $500

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?

There are 45 questions on your math exam. you answered 810 of them correctly. how many questions did you answer correctly?