Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 14,000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. P(t) = Incorrect: Your answer is incorrect.

Amodified roulette wheel has 36 slots. one slot is 0, another is 00, and the others are numbered 1 through 34, respectively. you are placing a bet that the outcome is an odd number. (in roulette, 0 and 00 are neither odd nor even.) a. what is your probability of winning? the probability of winning is startfraction 17 over 36 endfraction . (type an integer or a simplified fraction.) b. what are the actual odds against winning? the actual odds against winning are nothing: nothing. c. when you bet that the outcome is an odd number, the payoff odds are 1: 1. how much profit do you make if you bet $10 and win? if you win, the payoff is $ nothing. d. how much profit should you make on the $10 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against winning? $ nothing (round to the nearest cent as needed.)