The carnival committee has purchased 985 small prizes. the prizes are to be divided equally among the 29 game booths 1. in what place will the first digit of the quotient be? 2. how many prizes will each booth have? 3. how many prizes will be left?

Rewrite the hyperbolic equation 4y^2 -9x^2 +54x-8y-113=0

Use circumcenter theorem to solve for the given values

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?