Consider a gambler who, at each gamble, either wins or loses her bet with respective probabilities p and 1 − p. A popular gambling system known as the Kelley strategy is to always bet the fraction 2p − 1 of your current fortune when p > 1 /2. Compute the expected fortune after n gambles of a gambler who starts with x units and employs the Kelley strategy.

Martin likes to make flower bouquets that have 3 daffodils and 4 tulips per vase. a daffodil has a mass of d grams, a tulip has a mass of t grams, and the vase has a mass of u grams. the expression 5(3d + 4t + v) describes the mass of 5 bouquets. match each amount in the situation with the expression that represents it. situation expression number of bouquets mass of one bouquet mass of the tulips in one bouquet 4t mass of the daffodils in one bouquet 3d + 4t + v

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

Find the solution(s) to the system of equations. select all that apply y=x^2-1 y=2x-2