Answer:
(a) The probability of the intersection of events "man" and "yes" is 0.55.
(b) The probability of the intersection of events "no" and "man" is 0.10.
(c) The probability of the union of events "woman" or "no" is 0.45.
Step-by-step explanation:
The information provided is:
Yes No Total
Men 275 50 325
Women 150 25 175
Total 425 75 500
(a)
Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

Thus, the probability of the intersection of events "man" and "yes" is 0.55.
(b)
Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

Thus, the probability of the intersection of events "no" and "man" is 0.10.
(c)
Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

Thus, the probability of the union of events "woman" or "no" is 0.45.
Answer:
5/12 barrel/hour
Step-by-step explanation:
Type this as a fraction:
(1/6) barrel
--------------------
(2/5) hours
Division by 2/5 is equivalent to multiplication by 5/2:
1 5
--- barrel * -------------- = 5/12 barrel/hour
6 2 hours
Alternatively, this problem could be done using decimal fractions:
0.1667 barrel
-------------------- = 0.416666 barrel/hour = 5/12 barrel/hour
0.4 hours
Plug in 83 for y and 3 for x
83 = 3^2 - 6 (3) + 92
83 = 9 - 18 + 92
83 = -9 + 92
83 = 83 so it works