A hotel gives 10 free movie tickets to visitors every day. Historically 80% of free tickets are taken in any given day. a. What is the probability that 6 free tickets are taken by visitors in a random day? b. If each visitor who has a free movie ticket, pays $10 to buy popcorn and pepsi, find the expected dollar amount that they spend on popcorn and pepsi.
c. If 40% of visitors who have free movie ticket dine-in in the hotel, find the probability that 6 free movie tickets are taken and four of those with free movie tickets dine-in in the hotel.

Solve the equation -9p - 17 =10 a -3 b. 16 c. 18 d -16

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

What is the angle measure, or angle of depression, between this bird and the bird watcher?