Find the solution set.9x^2-3x=2 separate the two values with a comma.

x = -1/3, 2/3

Step-by-step explanation:

Step 1: Isolate everything to one side

9x² - 3x - 2 = 0

Step 2: Factor

(3x + 1)(3x - 2) = 0

Step 3: Find roots

3x + 1 = 0

3x = -1

x = -1/3

3x - 2 = 0

3x = 2

x = 2/3

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