Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. a)∃x∀y(x + y = y) b)∀x∀y(((x ≥ 0) ∧ (y < 0)) → (x − y > 0)) c)∃x∃y(((x ≤ 0) ∧ (y ≤ 0)) ∧ (x − y > 0)) d)∀x∀y((x ≠ 0) ∧ (y ≠ 0) ↔ (xy ≠ 0))

Which graph represents the following piecewise defined function?

Suppose that an airline uses a seat width of 16.516.5 in. assume men have hip breadths that are normally distributed with a mean of 14.414.4 in. and a standard deviation of 0.90.9 in. complete parts (a) through (c) below. (a) find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.516.5 in. the probability is nothing. (round to four decimal places as needed.)

Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2 - 20 = x a. 5, 4 b. -5, -4 c. -5, 4 d. 5, -4