For any two random variables x, y the covariance is defined as cov(x, y ) = e[(x − e[x])(y − e[y ])]. you may assume x and y take on a discrete values if you find that is easier to work with.

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

How is working backward similar to solving an equation?

Thee blue triangle has rotated from quadrant i to quadrant iii about the origin. describe the effects of the rotation on the coordinates of the blue triangle.