1. Let X have density function fXpxq " # 2x 0 ă x ă 1 0 otherwise and let Y be uniformly distributed on the interval p1, 2q. Assume X and Y are independent. (a) Find the joint density function of pX, Y q. (b) Calculate the probability PpY ´ X ě 3{2q.

Segment xz is bisected by point y. if xy = 12x, and the measure of xz = 18x – 6, solve for x

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry.how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250