Bailey writes the expression g^2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden? (g−4)(g−10)

(g+4)(g+10)

(g+4)(g−10)

(g−4)(g+10)

(g + 4)(g + 10)

Step-by-step explanation:

Note that 10*4 = 40 (which is the constant in g^2 + 14g + 40) and that 10 + 4 = 14 (which is the coefficient of x in g^2 + 14g + 40).

Thus, g^2 + 14g + 40 factors into (g + 4)(g + 10) (second answer choice).

5/12, or 5: 12

step-by-step explanation:

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