Let x be an n-vector and define y as the nonnegative vector (i. e., the vector with nonnegative entries) closest to x. give an expression for the elements of y. show that the vector z = y − x is also nonnegative and that z t y = 0.

Aletter in the word electric is chosen at random. complete each sentence. there are possible outcomes. the theoretical probability that a vowel will not be chosen is the ratio . the theoretical probability that the letter n will be chosen is .