QUESTION 1 A survey asked participants in a study whether they did or didn’t eat breakfast that morning. There were 50 females in the study, and 38 of them ate breakfast. There were 45 males in the study, and 25 of them ate breakfast. Which two-way frequency chart best represents this data? Ate Breakfast Did Not Eat Breakfast Total Male 45 25 70 Female 50 38 88 Total 95 63 158 Ate Breakfast Did Not Eat Breakfast Total Male 25 45 70 Female 38 50 88 Total 63 95 158 Ate Breakfast Did Not Eat Breakfast Total Male 25 20 45 Female 38 12 50 Total 63 32 95 Ate Breakfast Did Not Eat Breakfast Total Male 20 25 45 Female 12 38 50 Total 32 63 95

12. the amount of money in a bank account decreased by 21.5% over the last year. if the amount of money at the beginning of the year is represented by ‘n', write 3 equivalent expressions to represent the amount of money in the bank account after the decrease?

Vertical angles must check all that apply

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)