At a glass vase store, 8 out of the last 20 vases shipped were chipped. What is the experimental probability that the next vase shipped will be chipped?

What is the slope of the line shown below?

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) = .

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?