Suppose we generate a random variable X in the following way. Forst we flip a fair coin. If the coin is heads, take X to have a Uniform(0, 1). If the coin is tails, take X to have a Uniform(3, 4). (a) Find the mean of X. (b) Find the standard deviation of X.

Write the equation for the graph with the vertex (-6,2) and focus (-7.25,2) a. (y-2)^2 = -5(x+6) b. (y+6)^2 = -5(x-2) c. (x+6)^2 = -5(y+2) d. (y-6)^2 = 5(x+6)

Xf(x) = 2x + 5 1 7 2 9 3 11 4 13 5 15 6 17 linear functions grow by equal differences over equal intervals. in the table above, what column could be added to prove this relationship?

Two spray paint machines are used to paint different portions of a large wall. the first machine (nicknamed "paint pro") is used for two hours. the second machine (nicknamed "goldilocks") is used for an hour and a half. when they are working at the same time, they can paint 55 square feet per minute. together they painted 5850 square feet of wall. how many square feet of wall per minute can each machine paint? e used to paint different portions of a large wall. the first machine (nicknamed "paint pro") is used for two hours. the second machine (nicknamed "goldilocks") is used for an hour and a half. when they are working at the same time, they can paint 55 square feet per minute. together they painted 5850 square feet of wall. how many square feet of wall per minute can each machine paint?