In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Hailey sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 47 visitors purchased no costume. 40 visitors purchased exactly one costume. 8 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase one or more costumes as a fraction in simplest form.

If you prove that ∆wxz is congruent to ∆yzx, which general statement best describes what you have proved?

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.

The key on a road map has a scale factor of 1.5 inches = 50 miles. the distance between santa fe and albuquerque measures 7.5 inches. the distance between santa fe and taos is 0.75 inches. what is the actual distance between the cities?