Suppose we roll a fair die and let x represent the number on the die. (a) find the moment generating function of x. (b) use the moment generating function to find the first two moments. that is, find e[x] and e[x2 ].

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

If a || b and b | y, then ? a) x || y. b) x | a. c) a | y. d) a || y.

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?