Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
Answer:
s(x) = 10/x
Step-by-step explanation:
There are x number of people. When you divide an amount by x, you get
amount/x
Here, the amount is 10 since you bought 10 pizzas, so each person gets
10 divided by x.
s(x) = 10/x
(x+3)(x^2-3x+9)
this gets the x^3 while the 3x cancels out and 3*9=27
hope this helps although i didn't explain very well :)
Answer:
30.4 feet.
Step-by-step explanation:
We have been given the length of the ramp on the blueprint is 7.6 inches. The scale on the blueprint is 1 inch to 4 feet. We are asked to find the actual length of the ramp.
We will use proportions to solve our given problem as:
Now, we will substitute the scale length of ramp in our proportion as:
Therefore, the actual length of the ramp would be 30.4 feet.
Answer:
x = - 8
Step-by-step explanation:
vertical line : x = -8
