This past year, home prices in the Midwest increased by an average of 6.6%. A realtor collects data on 36 home sales in the West. He finds an average increase in home prices of 7.5%, with a standard deviation of 2%. Can he conclude that the average increase in home prices in the West is greater than the increase in the Midwest? Use a 5% significance level for the analysis.

Three cylinders have a volume of 2836 cm^3. cylinder a has a height of 900 cm. cylinder b has a height of 225 cm. cylinder c has a height of 100 cm. find the radius of each cylinder. use 3.14 as an approximate for π

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Using elimination, what is -4x+2y=-12 4x+8y=-24