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Anastasy [175]
3 years ago
6

Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item pro

duced by factory A is defective is 0.03 and the probability that an item produced by factory B is defective is 0.045. A computer is selected at random and it is found to be defective. What is the probability it came from factory A?
Mathematics
1 answer:
OleMash [197]3 years ago
7 0

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

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3 tenths + 4 Tenths = __0.7____ tenths
vovangra [49]

Answer:

7 tenths

Step-by-step explanation:

3 tenths + 4 tenths = 3/10 + 4/10 = 0.3 + 0.4 = 0.7

= 7 tenths

6 0
3 years ago
Describe the dimensions of two different prisms that each have a volume of 2,400 cubic centimeters
MArishka [77]
That it is 4,6090 because when u divide that ,400 by 2,400 u will get 4,000
8 0
3 years ago
A passenger train and a freight train leave San Jose at 3PM, traveling in the same direction. The passenger train is going three
Liono4ka [1.6K]

Let's say that the speed of the freight train is x and the one of the passenger train is 3x.

x MPH means every hour the freight train covers x miles., which means in 3h it will have covered 3 times as much: 3x mi.

Following the same logic, 3x MPH means every hour the passenger train covers 3x miles, meaning after 3h it will have covered 3 times as much as well: 9x mi.

Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:

9x-3x=6x\\6x=240\\x=240/6\\x=40

Knowing this, we can surely affirm that the freight train is travelling at 40MPH and the passenger train is travelling three times as fast, 120MPH.

5 0
3 years ago
A professor has recorded exam grades for 10 students in his​ class, but one of the grades is no longer readable. If the mean sco
Nostrana [21]

Answer:

unreadable score = 35

Step-by-step explanation:

We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".

There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":

1) The mean score of ALL exams (including the unreadable one) is 80

so the equation to represent this statement is:

mean of ALL exams = 80

By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

\frac{R+x}{10} =80

since the mean is the addition of all values divided the total number of exams.

in a similar way we can write what the mean of just the readable exams is:

\frac{R}{9} = 85\\ (notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.

Based on the equation above, we can find what "R" is by multiplying both sides by 9:

\frac{R}{9} = 85\\R=85*9= 765

Therefore we can now use this value of R in the very first equation we created, and solve for "x":

\frac{R+x}{10} =80\\\frac{765+x}{10} =80\\765+x=80*10=800\\765+x=800\\x=800-765=35

4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs.
GenaCL600 [577]

The values have being matched to the variables that they represent here:

  • x-variable: the number of hours Sam works at the airport
  • y variable:  the amount in dollars that Sam has after paying back Daniel
  • 12: amount in dollars that Sam earns per hour.
  • 40: the amount in dollars Sam owes Daniel

<h3>How to solve for the equation.</h3>

The equation of this form y = 12x-40

The variable y has been said to be the amount sam has after Daniel has been paid.

X is the amount that has to be multiplied by what he earns in dollars by the hour.

40 dollars is the amount that he owes which is going to be subtracted from what he earns by the hour.

Read more on functions here:

brainly.com/question/17043948

#SPJ1

8 0
1 year ago
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