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Bingel [31]
3 years ago
7

Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully le

arning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).A worker learned the skill successfully. What is the probability that he was taught by method A?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0

Answer:

Given that the worker learned the skill succesfully, there is a 71.64% probability that he was taught by method A.

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 this problem, we have that:

What is the probability that the worker was taught by method A, given that he learned the skill successfully.

P(B) is the probability that he was taught by method A. Method A is used 75% of the time. So P(B) = 0.75

P(A/B) is the probability that he learned the skill succesfully, given that he was taught by method A. There is an 80% chance of successfully learning the skill if method A is used, so P(A/B) = 0.8

P(A) is the probability that he learned the skill succesfully. Method A is used 75% of the time and is 80% succesfull. Method B is used 25% and is 95% succesful. So

P(A) = 0.75*0.8 + 0.25*0.95 = 0.8375

Finally

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.75*0.8}{0.8375} = 0.7164

Given that the worker learned the skill succesfully, there is a 71.64% probability that he was taught by method A.

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There are many cylinders with a height of 9 inches. Let r represent the radius in
mylen [45]

Answer:

Step-by-step explanation:

V, r, h are the volume, radius, and height, respectively.

V = πr²h = 9πr²

The only error in your previous answers was that you forgot the π.

if r = 1, V = 9π1² = 9π ≅ 28 in³

if r = 2, V = 9π2² = 36π ≅ 113 in³

if r = 3, V = 9π3² = 81π ≅ 254 in³

8 0
3 years ago
Thomas invested $40,000. He put part of the money in an account paying 2% interest and the remainder
Rainbow [258]

Answer:

18,000 at 2%

22,000 at 3%

Step-by-step explanation:

x: the amount in account paying 2% interest

y: the amount in stock paying 3% interest

x + y = 40,000

2%. x + 3%. y = 1020

⇒ x = 18,000

y = 22,000

5 0
2 years ago
You start hiking at an elevation that is 80 meters below base camp.
Arte-miy333 [17]

Answer:

You are now 38 m below base camp.

Step-by-step explanation:

Consider the provided information.

You start hiking at an elevation that is 80 meters below base camp.

Now your initial location is 80 m below base camp, that can be represents as: -80

Now you increase your elevation by 42.

So you go up by 42.

In other words, you get the equation -80+42 = -38.

Since a negative value is below the base camp, this means that you are now 38 m below base camp.

6 0
3 years ago
Simplify the Polynomial and please show your work so I can do more on my own.
zheka24 [161]

Answer:

no

Step-by-step explanation:

7 0
2 years ago
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
KIM [24]

Answer:

D

Step-by-step explanation:

First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.

If point D divides the segment AB in the ratio m:n, then

D\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)

So

D\left(\dfrac{3\cdot 2+5\cdot 10}{5+3},\dfrac{3\cdot (-6)+5\cdot 2B}{5+3}\right)=D(7,-1)

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.

Thus, C(2,-1)

5 0
3 years ago
Read 2 more answers
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