Randolph spins a spinner that is split into 6 equal sections. The sections are labeled 3, 1, 3, 2, 3, 1 What is the probability (expressed as a fraction in simplest form) that the spinner will land on the number 1?

Pepe is going to spin the following spinner 800 times. the spinner is divided into equal sections.a. exactly 160 timesb. clost to 160 times but probably not exactly 160 timesc. exactly 640 timesd. close to 640 times but not probably not exactly 640 times. me

The graph of g(x) is a translation of y = which equation represents g(x)?

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) = .