A project has the following projected outcomes in dollars: $250, $350, and $500. The probabilities of their outcomes are 25%, 50%, and 25%, respectively. What is the expected value of these outcomes?

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer; coefficient of correlation;

since the options are not listed, when you are working on your budget you should also add water, tv, internet, miscellaneous and your 'fun' money for in your budget. when budgeting, you need to allow for fun money, and mis/accidental money so that you stick to the budget and not go crazy because you feel strapped to the budget.