In a carnival game, you roll 2 dice. if the sum is 5, you receive a $5 payoff. if the sum is 11, you receive a $9 payoff. otherwise, you receive no payoff. what is the expected payoff? (round your answer to two decimal places.)

Erinn wrote the equation –5x + 4y = 32 to represent her hourly wage (y) and how this wage has changed during each year that she worked at a company (x). what is the rate of change in erinn's hourly wage per year?

Triangles abd and ace are similar right triangles. witch ratio best explains why the slope of ab is the same as the slope of ac?

Sara goes on a slingshot ride in an amusement park. she is strapped into a spherical ball that has a radius 3*10^2 of centimeters. what is the volume of air in the spherical ball? use this formula: volume of a sphere=4/3pi, r^3 , where r is the sphere’s radius.