On the interstate, you have just passed a franchise of your favorite fast-food chain, and you happen to know that there is another one in 40 miles; but you are very hungry and want to stop earlier. You are pretty sure that there is exactly one restaurant located closer; and the reliability function for the number of miles Muntil you reach it is .R(x) = P(X>x) = 1 - x2/1600

a) On average, how many miles will you have to drive to find this restaurant.

b) What is the probability that you have driven 30 miles, and still not found the restaurant?

Consider the system: y = 3x + 5 y = ax + b what values for a and b make the system inconsistent? what values for a and b make the system consistent and dependent? explain

Simplify a7/a4 a) 1/a3 b)-a/a2 c)a4/a3 d)a3

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.