In many settings, the "rules of probability" are just basic facts about percents. The Graduate Management Admission Test (GMAT) Web site provides the following information about the undergraduate majors of those who took the test in 2009–2010: 53% majored in business or commerce; 17% majored in engineering; 16% majored in the social sciences; 6% majored in the sciences; 5% majored in the humanities; and 3% listed some major other than the preceding.3 (a) What percent of those who took the test in 2009–2010 majored in either engineering or science? Which rule of probability did you use to find the answer? (b) What percent of those who took the test in 2009–2010 majored in something other than business or commerce? Which rule of probability did you use to find the answer?

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms

answer: i can’t tell you that

step-by-step explanation:

x=30

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.