In a gambling game a man is paid $5 if he gets all heads or alltails when three coin are tossed, and he will pay out $3 if eitherone or two heads show.

a. Construct a probability distribution for this situation

b. What is his expected gain

Which of the following represents the range of the graph of f(x) below

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Asquare and an equilateral triangle have the same perimeter. each side the triangle is 4 inches longer than each side of the square. what is the perimeter of the square