A gumball machine has various colors of gumballs. There is a 10% chance that the next gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.

Evaluate cos2θ for cosθ = square root of 3/2

6x + 3y = -6 2x + y = -2 a. x = 0, y = -2 b. infinite solutions c. x = -1, y = 0 d. no solution

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