11. What is the volume of the composite solid? (Hint: The height of the cone is 42 ft.) 12. A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of
cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches.

a) What is the volume of the first can of cat food? Show your work

b) What is the volume of the second brand of cat food? Show your work

c) What is the difference between the volumes of the cans?

Extra credit: Two cylinders have equal diameters. Are their volumes also equal? Is the same true for cones and
spheres? Explain your reasoning

Which system of linear inequalites is represented by the graph?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Which of the following pairs of functions are inverses of each other? o a. f(x)=x72+8 and 96-9 = 7/x+2) =8 o b. f(x)= 6(x - 2)+3 and g(x) - *#2-3 o c. $4) = 5(2)-3 and 90- 4*: 73 o d. f(x) = 6)-12 and 910 – +12