Find the probability that a roll of two dice will produce a sum of 2, 3, or 12. how many times would you expect this event to occur in 50 trials? find the probability that a roll of two dice will produce a sum of either 7 or 11. how many times would you expect this to occur in 50 trials?

Which number completes the system of linear inequalities represented by the graph? y> 2x – 2 and x + 4y 2 et 2 3 4

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Find the solution(s) to the system of equations. select all that apply y=x^2-1 y=2x-2