the lottery ticket has a grand prize of $21.5 million. The probability of winning the grand prize is .000000023. Determine the expected value of the lottery ticket.

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

Aboard 60 in. long is cut two parts so that the longer piece is 5 times the shorter. what are the length of the two pieces?

Solve the equation for b: a= (1/2)(b)(h)