Lisa and Elise are discussing measures of spread. Elise says the best measure of spread with which to compare data sets is the IQR. Lisa says the best measure of spread with which to compare data sets is the standard deviation. Complete the sentences

Elise is correct if the data set is

Large
Normal
Skewed
Small

Solve the system of equations. y= 2x y= x^2 - 15

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?

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis