The diameter of a particle of contamination (inmicrometers) is modeled with the probability density functionf (x) = 2∕x3 for x > 1. Determine the following:a. P(X < 2) b. P(X > 5)c. P(4 < X < 8) d. P(X < 4 or X > 8)e. x such that P(X < x) = 0.95

You eat 8 strawberries and your friend eats 12 strawberries from a bowl. there are 20 strawberries left. which equation and solution give the original number of strawberries?

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

Factor this polynomial completely. 12x^2+ x-6