Answer:
The positions can be filled in 150 ways.
Step-by-step explanation:
The order in which the people are chosen is not important. For example, A, B, C, D is the same outcome as B, A, C, D. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the positions be filled if 2 women and 2 men are hired?
2 women from a set of 6.
2 men from a set of 5.
So

The positions can be filled in 150 ways.
Answer:
165
Step-by-step explanation:
since the ticket cost $5.50 per child
so $5.50*30=165
∠ABC = 30 degrees
Since ∠DBC is its complement, ∠DBC = 90 - 30 = 60 degrees.
BE is the angle bisector of ∠ABD.
Therefore, ∠ABE = ∠DBE = 45 degrees.
Please refer to the attached figure.
So,
A. No
B. Yes
C. Yes
Answer:

Step-by-step explanation:
The absolute value of a number is how far away it is from 0 on the number line. Even though
is a negative number, the absolute value wouldn't be
, because distance can't be negative. Hence the absolute value of
is
.