During an eight-hour shift, the proportion of time y that a sheetmetal stamping machine is down for maintenance or repairs has a beta distribution with α = 1 and β = 2. that is f(y) =    2(1 − y), 0 ≤ y ≤ 1, 0, elsewhere. the cost (in hundreds of dollars) of this downtime, due to lost production and cost of maintenance and repair, is given by c = 10 + 20y + 4y 2 . find the mean and variance of c.

Atriangle with all sides of equal length is a/an triangle. a. right b. scalene c. equilateral d. isosceles

The description below represents function a and the table represents function b: function a the function is 5 more than 3 times x. function b x y −1 2 0 5 1 8 which statement is correct about the slope and y-intercept of the two functions? (1 point) their slopes are equal but y-intercepts are not equal. their slopes are not equal but y-intercepts are equal. both slopes and y intercepts are equal. neither slopes nor y-intercepts are equal.

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.