A manufacturer of doorknobs has a production process that is designed to provide a doorknob with a specific target diameter in inches. In an effort to understand the variation in the process currently in place, a random sample of 23 doorknobs produced under the current process indicates a sample standard deviation of 0.025 inch. Construct a 98% confidence interval to estimate the true standard deviation of the diameters of doorknobs manufactured by this firm.

Given the points a(-2, 1) and b(8, 6), find the coordinates of the point c on directed line segment ab, that partitions ab in the ration 2: 3.

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?

Stacey filled her 1/2 cup of measuring cup seven times to have enough flour for a cake recipe how much flour does the cake recipe calls for