20) Translate the following phrase into an algebraic expression: "the product of n and 7 divided by 16." 21) What property is illustrated in the following expression: a(1) = a
A) Multiplicative Identity
B) Associative Property of Addition
C) Commutative Property of Addition
D) Multiplicative Property of Zero
E) Commutative Property of Multiplication

22) What property is illustrated in the following expression: (x + 4) + y = x + (4 + y)
A) Multiplicative Identity
B) Associative Property of Addition
C) Commutative Property of Addition
D) Multiplicative Property of Zero
E) Associative Property of Multiplication

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

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