Enter the pair of fractions 6/7 and 13/14 with the smallest common denominator between the two fractions

A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50% of the total output. The probabilities of a non-d

Sliva [168]

Answer:

There is a 44.12% probability that the defective product came from C.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

-In your problem, we have:

P(A) is the probability of the customer receiving a defective product. For this probability, we have:

$P(A) = P_{1} + P_{2} + P_{3}$

In which $P_{1}$ is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So:

$P_{1} = 0.35*0.25 = 0.0875$

$P_{2}$ is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

$P_{2} = 0.15*0.05 = 0.0075$

$P_{3}$ is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

$P_{3} = 0.50*0.15 = 0.075$

So

$P(A) = 0.0875 + 0.0075 + 0.075 = 0.17$

P(B) is the probability the product chosen being C, that is 50% = 0.5.

P(A/B) is the probability of the product being defective, knowing that the plant chosen was C. So P(A/B) = 0.15.

So, the probability that the defective piece came from C is:

$P = \frac{0.5*0.15}{0.17} = 0.4412$

There is a 44.12% probability that the defective product came from C.

3 0

3 years ago

Angle ABC is taken by a dilation with the center P and scale factor 3 to angle A'B'C'

xxTIMURxx [149]

Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

8 0

3 years ago

Shantel is studying for her history test. After 20 minutes she is 1/4 of the way done. How much longer will she study?

Kipish [7]

She will study for another hour

3 0

2 years ago

15 points for the right answer ,,,,!!!!!

Contact [7]

A is true, b is true, but c d aren’t and e is

5 0

3 years ago

Please help meee!!!!!

aniked [119]

Answer:

B

Step-by-step explanation:

All of the other answers are wrong im right believe me i know I am

3 0

3 years ago