Which of the following shows the factors of 5x2 + 17x + 6?
a.
(5x + 1)(x + 6)
b.
(5x + 2)(x + 3)
c.
(5x + 3)(x + 2)
d.
(5x + 6)(x + 1)

B.  (5x + 2)(x + 3)

Step-by-step explanation:

(5x + 2)(x + 3)

5x · x + 5x · 3 + 2 · x + 2 · 3

5x² + 15x + 2x + 6

5x² + 17x + 6

the least common denominator is 40

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