Imagine that a family play bingo every night. The chance that any one of the three players will win is 1/3. Using f for wins, a for win, and l for wins, develop a tree diagram that shows the nine possible outcomes for two consecutive nights of play.

Which table represents a linear function? i'll give brainliest to first answer ^'^

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) = .

Aregular pan has a length that is 4/3 the width. the total area of the pan is 432in.2. what is the width of the cake pan?