A bag contains 8 purple marbles, 7 yellow marbles, 8 red marbles, and 3 blue marbles. What is the probability of drawing a purple marble, without replacing it, and then drawing a blue marble?

Asphere has a diameter of 10 in. what is the volume of the sphere?

Mario is constructing a frame for 10 in. by 8 in. photo. he wants the frame to be the same with all the way around in the same area of the frame and photo to be 120 square inches what is the dimension of the frame?

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe