Geneticist D. N. Hay has been experimenting with two types of mice, light-haired mice cloned from a particularly hearty species and dark-haired mice that are direct descendants of a well-known mouse named Mickey. Assume that X and Y are, respectively, the pro- portion of each of these two types of mice that exit a specially designed maze within three minutes. Over many experiments with different batches of these mice, the variables X and Y have been found to be well-modeled by the joint density. fx. y(x, y)= kx^2(1 - y) for 0 < x < 1 and 0 < y < 1

a. Find the value of k for which f(x, y) is a valid bivariate density.
b. Find the expected value of the ratio Y/X.
c. Evaluate the probability that X+Y <= 1.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation:

bdhfnfhjffjkfjfjfjjf