Let x denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. f(x) = 0 x < 0 x2 25 0 ≤ x < 5 1 5 ≤ x use the cdf to obtain the following. (if necessary, round your answer to four decimal places.) (a) calculate p(x ≤ 4). (b) calculate p(3.5 ≤ x ≤ 4). (c) calculate p(x > 4.5). (d) what is the median checkout duration ? [solve 0.5 = f()]. (e) obtain the density function f(x). f(x) = f '(x) = (f) calculate e(x). (g) calculate v(x) and σx. v(x) = σx = (h) if the borrower is charged an amount h(x) = x2 when checkout duration is x, compute the expected charge e[h(x)].

p> q if you calculate p is100 q is 79

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).