A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. What is the bearing of the plane?

Two line segments, each of length two units, are placed along the x-axis. The midpoint of the first is between x=0 and x=14 and that of the second is between x=6 and x=20. Assuming independence and uniform distribution for these midpoints, find the probability that the line segments overlap. Show...

Suppose X and Y are random variables of the discrete type which have the joint pmf p(x,y) = (x+2y)/18, (x,y)= (1,1), (1,2), (2,1), (2,2), aero elsewhere. Determine: (Show work in all parts) a) The conditional mean and variance of Y given X=x, for x=1,2. b) The variance of the conditional mean...

Triangle treat worksheet

1. A horizontal line intersects a graph at exactly one point. However, the graph does not represent a one-to-one function. Explain how this situation can happen.

2x+3y=10 x+y=4

$10 was the cost for a piece of merchandise. The selling price with a 50% markup would be? The margin on this item would be?

Use Green s Theorem to evaluate HC(2xy y2)dx + (x2 y2)dy, where C is the boundary of the region enclosed by y = x and y = x2. Assume that the curve C is traversed in a counterclockwise manner

Find the points of intersection (r,thata) of the curves r=2(1-cos(thata)) r=4sin(thata) note: in this problem the curves intersect at the pole and one other point. Only enter the answer for nonzero r.

Find the area of the polar region enclosed by f(thata)=sin(thata) for 0</= thata </= (pi)/6