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AURORKA [14]
3 years ago
14

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

learning 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?
2. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning 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).
What does a correct probability tree for this problem look like?

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

The probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

Step-by-step explanation:

(1)

The information provided is:

<em>A</em> = if method A is used

<em>B</em> = if method B is used

<em>S</em> = successfully learning the skill

P (A) = 0.75

P (B) = 0.25

P (S|A) = 0.80

P (S|B) = 0.95

Compute the probability that a worker was taught by method A given that he learned the skill successfully as follows:

P(A|S)=\frac{P(S|A)P(A)}{P(S|A)P(A)+P(S|B)P(B)}

            =\frac{0.80\times 0.75}{0.80\times 0.75+0.95\times 0.25}\\\\=\frac{0.60}{0.60+0.2375}\\\\=\frac{0.60}{0.8375}\\\\=0.716418\\\\\approx 0.72

Thus, the probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

(2)

The probability is attached below.

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Answet please and please show work
stiks02 [169]

Answer:

4, 3, 4

Step-by-step explanation:

The unsimplified ratio of squares to triangles is 6:8, which simplifies to 3:4. That means, for every 3 squares, there are 4 triangles

As stated above, the simplified ratio of squares to triangles is 3:4

6 0
2 years ago
Perform the following mathematical operation, and report the answer to the correct number of significant figures. 0.34 x 0.568 =
BlackZzzverrR [31]

The multiplication of 0.34 by 0.568 will be 0.19312 and the number of significant figures is five.

<h3>How to illustrate the information?</h3>

In positional notation, significant figures are the digits in a number that are trustworthy and required to denote the amount of something. Significant figures are the number of digits that add to the correctness of a value, frequently a measurement.

It should be noted that significant figures are the numbers that are reliable and are usually non zero digits.

In this case, the multiplication of 0.34 by 0.568 will be 0.19312.

Therefore, the number of significant figures is five.

Learn more about mathematical operations on:

brainly.com/question/20628271

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3 0
1 year ago
James earned $361.36 for working last week and $347.85 for working this week. What was the total amount he earned?
Svetach [21]
$709.21
$361.36 for week one + $347.85 for week two = $709.21 total for both weeks
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B8%7D%7B11%7D%29%20%7B%7D%5E%7B7%20-%202%20%5Ctimes%203%20-%201%7D%20" id="TexF
Darya [45]

Answer:

1

Step-by-step explanation:

(\frac{8}{11})^{7- 2*3 - 1} = (\frac{8}{11})^{7- 6 - 1}\\\\=(\frac{8}{11})^{7- 7}\\\\=(\frac{8}{11})^{0}\\\\=1

6 0
3 years ago
Find the values of the variables and the measures of the angles
yuradex [85]

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

8 0
3 years ago
Read 2 more answers
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