Answer: 0.20833
Step-by-step explanation:
This is a case of inverse probability.
We first determine the probability that an item is defective generally.
To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.
Mathematically,this becomes :
(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)
0.01 + 0.009 + 0.005 = 0.024.
Probability an item is defective in general = 0.024
Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.
Hence, given that the item is defective, the probability that it was produced by the third machine becomes:
= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)
= 0.005/0.024
= 0.20833.
Answer: The profit after 5 seasons is $239.94.
Step-by-step explanation:
Since we have given that
Revenue function is given by
Cost function is given by
So, We need to find the total profit:
As we know the formula for profit:
Profit = Revenue - Cost
We need to evaluate the profit after five seasons:
Hence, the profit after 5 seasons is $239.94.
Answer:
15 yards
Step-by-step explanation:
use pythagoras theorem
a^2 + b^2 = c^2
9^2 + 12 ^2
81 + 144
225
square root
hypoteneuse= 15 yards
Answer: ABCD is not a trapezoid.
Step-by-step explanation:
Answer:
34
first of all use formula:
n(AUB)=n(A)+n(B)-n(AnB)
