7choose a number b at random from the interval [0, 1] with uniform density. find the probability that (a) 1/3 < b < 2/3. (b) |b − 1/2| ≤ 1/4. (c) b < 1/4 or 1 − b < 1/4. (d) 3b2 < b

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

A33 gram sample of a substance that's used to detect explosives has a k-value of 0.1473. n = noekt no = initial mass (at time t = 0) n = mass at time t k = a positive constant that depends on the substance itself and on the units used to measure time t = time, in days

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'