A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, and 6 yellow. You select with replacement two tiles at random from the bag. Define the theoretical probability distribution for selecting a number of yellow marbles on the sample space {0, 1, 2}. Write each probability rounded to the nearest hundredth.

P(0) =
P(1) =
P(2) =

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

Which of the functions below could have created this graph?

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.