onsider the following scenario when answering the following questions: Suppose that, in an experimental setting, 100 students are presented with two situations involving risk and return. The students are first asked to choose between Gamble A and Gamble B, where: Gamble A: The student will receive $1 million with a 100 percent probability. Gamble B: The student will receive $1 million with an 89 percent probability, $5 million with a 10 percent probability, and $0 million (nothing) with a 1 percent probability. The students are then asked to choose between Gamble C and Gamble D, where: Gamble C: The student will receive $5 million with a 10 percent probability. Gamble D: The student will receive $1 million with an 11 percent probability.

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; tech (a) is correct;