We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.
Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.
We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.
Answer:
the probability that randomly selected applicants over 10 years of experience is 0.6791
Step-by-step explanation:
The computation of the probability that randomly selected applicants over 10 years of experience is as follows:
Total would be
= 187 have 10 + years experience
Now
P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)
= 127 ÷ 187
= 0.6791
Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791
Answer:
1) y=12 and 2) (0,12) and (18,0)
Step-by-step explanation:
1) y intercept is when x=0, so 3y=36, y=12
2) the equation of line is y=-(2/3)x+18, so the answer is (0,12) and (18,0)
A)
if 39.99 is the 100%, what is 10 in percentage? well

solve for "x".
b)
now, with the discount, the amount is 29.99, thus if 29.99 is the 100%, what is 1.95 from it in percentage?

solve for "x".
c)
the original price is 39.99, the markup on that is 60%, how much is that?
well

now, after the discount, the price is 29.99, how much is 23.994 in percentage of 29.99?
well

solve for "x".
Answer:
decreasing the pressure
Step-by-step explanation:
i just took the test