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.
A circle is 360°. Since you only have 3 different types of weather, if you split the ° equally, each section would have 120°. The amount of rainy days is 10/30 or exactly 1/3, so 120° are rainy days.
If you do 30 x 12, it equals 360. So that means that each day is 12°. There were 8 cloudy days, so you can do 8 x 12 = 96°
1 : 16
2 : 32
4 : 64
6 : 96
12 : 192
You find these by multiplying the pounds by ounces
So, 2 pounds * 16 ounces = 32 ounces.
68 degrees because 56×2=112 then 180-112=68
Answer:
A - 19.5
Step-by-step explanation:
A Rhombus is characterized by the diagonals meeting at a right angle. Therefore, the angle in the center is 90 degrees.
If you look at the bottom triangle, you know that the angles of a triangle add up to 180 degrees. You can say that all of the angles of the triangle added to 180 are:
(3x + 12) + (x) +(90) = 180 degrees
4x + 102 = 180 degrees combining like terms
4x + 102 - 102 = 180 - 102
4x = 78
4x/4 = 78/4
x = 19.5 degrees
