An investor owns shares in a stock whose present value is 25. she has decided that she must sell her stock if it goes either down to 10 or up to 40. if each change of price is either up 1 point with probability 0.55 or down 1 point with probability 0.45, and the successive changes are independent, what is the probability that the investor retires a winner?

What is the first step of an indirect proof of a number that is divisible by two

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

6x + 3y = -6 2x + y = -2 a. x = 0, y = -2 b. infinite solutions c. x = -1, y = 0 d. no solution