Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
Volume of a Cone = (1/3)*(pi)*(radius)*(radius)*(height)
we are given:
pi = 3.14
height = 6
Volume = 8(3.14)
plug in
8(3.14) = (1/3)*(3.14)*(radius)^2 *(6)
8 = (1/3)*(6)*(radius)^2 [divided both sides by 3.14]
8 = (2)*(radius)^2 [simplified (1/3)*(6)]
4 = (radius)^2 [divided 2 from both sides]
radius = 2 [square rooted both sides (sqrt(4))=2]
therefore the radius = 2 ft
