Solve for x a)14.5 b)10 c)6/3 d) 20

b. 10

Step-by-step explanation:

The triangles are all similar, so you have ...

hypotenuse/short side = x/4 = 25/x

Cross multiplying gives ...

x^2 = 100

x = 10 . . . . . . . take the square root

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

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