Answer:



Step-by-step explanation:
Number of Men, n(M)=24
Number of Women, n(W)=3
Total Sample, n(S)=24+3=27
Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>
(a)Probability that both appointees are men.

(b)Probability that one man and one woman are appointed.
To find the probability that one man and one woman are appointed, this could happen in two ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
P(One man and one woman are appointed)

(c)Probability that at least one woman is appointed.
The probability that at least one woman is appointed can occur in three ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
- Two women are appointed
P(at least one woman is appointed)

In Part B, 
Therefore:

Answer:
(x,y)=(309/7,-317/14) If you ever get stuck on similar problems I recommend using the photomath app.
Step-by-step explanation:
8 - 2x = -8x + 14 <em>subtract 8 from both sides</em>
-2x = -8x + 6 <em>add 8x to both sides</em>
6x = 6 <em>divide both sides by 6</em>
<h3>x = 1</h3>
Answer:
1078
Step-by-step explanation:
Product means to divide