Alice and Bob observe a Poisson process with rate parameter of 5 hits per minute. Alice has a tally counter that ticks up by 1 on each hit precisely. Bob has a stopwatch that measures time continuously and perfectly. They decide to play a game while they wait. If Alice's counter goes up by 5 hits before Bob's timer shows that a full minute passes, then Alice wins. If Bob's timer shows a full minute passes before Alice's counter goes up by 5 hits, then Bob wins. (A tie is impossible according to the Poisson process model. Why

Explain why the function is discontinuous at the given number a. (select all that apply.) f(x) = 1 x + 1 a = −1 f(−1) is undefined. lim x→−1+ f(x) and lim x→−1− f(x) exist, but are not equal. lim x→−1 f(x) does not exist. f(−1) and lim x→−1 f(x) exist, but are not equal. none of the above

Find the length of the diagonal of the rectangle. round your answer to the nearest tenth. || | | 8 m | | | | 11 m

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.