Let x be the the capacity of a beam. the cdf of x is given as: f(x) = 1 − 10 x 4 , x ≥ 10 = 0 , x < 10 1 • determine median of x? • what is the expected capacity of the beam? • if the load on the beam can take values 15, 20, and 25 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the beam? assume the beam fails when the load is higher than the capacity.

What is the slope of the equation y =

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Arestaurant added a new outdoor section that was 8 feet wide and 6 feet long. what is the area of their new outdoor section