Alison has all her money invested in two mutual funds, a and b. she knows that there is a 40% chance that fund a will rise in price, and a 60% chance that fund b will rise in price given that fund a rises in price. what is the probability that both fund a and b will rise in price?
a. 0.24
b. 0.40
c. 0.76
d. 1.00

A. 0.24

Explanation:

From the question ,  

The probability that mutual funds A will rise is 40 % , i.e. , P ( A ) = 0.40  

The second statement given is , the probability of rise in B with A , is 60% , i.e. , P ( B | A )  = 0.6

Therefore , to calculate the probability that both funds will increase is given by P( B n A ) .

Since ,  

P ( B | A ) = P (B n A) / P(A)

Now, putting the respective values -

0.6 = P(B n A) / 0.4

rearranging ,  

P (B n A) = 0.6 * 0.4

P(B n A) = 0.24

probability that both the fund A and fund B will rise in price = 0.24 .

you don't if you paid you paid. it's like if i bought a computer and used it then i say idon't want it anymore so im gonna return it. you can't. unlkess you have your reciept

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.