−18x+21> −15 or 20x−13≥27minus, 18, x, plus, 21, is greater than, minus, 15, start color #ed5fa6, start text, space, o, r, space, end text, end color #ed5fa6, 20, x, minus, 13, is greater than or equal to, 27 choose 1 choose 1
(choice a) a x< -2x< −2x, is less than, minus, 2 or x\geq 2x≥2x, is greater than or equal to, 2.
(choice b) b x=-2x=−2x, equals, minus, 2.
(choice c) c x\geq 2x≥2x, is greater than or equal to, 2.
(choice d) d there are no solutions.
(choice e) e all values of xxx are solutions.

E. All values of x are solutions.

Step-by-step explanation:

Given compound inequality,

∵ a > b ⇒ a + c > b + c ∀ a, b, c ∈ R,

∵ a > b ⇒ if c > 0,

a > b ⇒ if c < 0,

So,

i.e. All values of x are solutions.

OPTION E is correct.

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant

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