Here is the sample space for three tosses of a coin. {hhh, hht, hth, htt, thh, tht, tth, tht} calculate the probability that this compound event will yield a result of 2 heads and 1 tail (in any order) a. 0.125 b. 0.25 c. 0.333 d. 0.375

Given abcd ac=38 and ae=3x+4 find the value of x

Given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*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) = .