Suppose that a dart board is given by a circle of radius 1 in R², centered at (0,0). You throw a dart at the dart board, and the position that it lands is given by a pair of random variables, (X, Y). a. Suppose that the probability of a "Bull's Eye" is zero; that is, P(X = 0, y = 0) = 0.
b. Prove that there must be some integer n > 0 such that P (√X^2 +Y^2 > 1/2) > 0.

98 point question what is the record for most points in one

(01.03 mc) which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4. select one: a. x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1. b. x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12. c. x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3. d. x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.

On which number line are -3 and its opposite shown