Three methods, A, B and C, are available for teaching a certain industrial skill. The failure rate is 15% for A, 5% for B and 10% for C. The method A is used 30%, B is used 40% and C is used 30% of the time. A worker is taught the skill by one of the methods but fails to learn it correctly. a. (10 points) What is the probability that he was taught by method A? b. (5 points) What is the probability of B given A?

Answers

Answer 1

Answer:

a) so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is 0.5

Step-by-step explanation:

With the previous data we know that 3 methods teach an industrial skill and when putting into practice a worker does not learn, we have the failure rates like this:

method A fails 15%

method B fails: 5%

method C fails: 10%

usage percentages:

A: 30%

B: 40%

C: 30%

a) the probability that method A has been taught is as follows:

P (failure rate) = P (A) * P (failure rate A) + P (B) * P (failure rate B) + P (C) * P (failure rate C)

we replace the data obtaining:

P = 0.3 * 0.15 + 0.4 * 0.05 + 0.3 * 0.1 = 0.095

P ( failure rate A) = P (A) * P (failure rate A) / P (failure rate)

we replace the data obtaining:

 0.3 * 0.15 / 0.095 = 0.4737

so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is as follows:

P (B | A) = P (B) = 0.50


Related Questions

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation:

slope = 6

y-4 = 6(x+ 3)

y-4 = 6x + 18

y = 6x + 22

Answer:

C

Step-by-step explanation:

In the attached file

If f(x) and f-1 (x)
are inverse functions of each other and f(x) = 2x+5, what is f-1 (8)?​

Answers

Answer:

For this case we have the following function:

 f (x) = 2x + 5

 Clearing x we have:

 2x = y - 5

 x = (y-5) / 2

 Rewriting:

 f (x) ^ - 1 = (x-5) / 2

 Evaluating x = 8:

 f (8) ^ - 1 = (8-5) / 2

 f (8) ^ - 1 = 3/2

 Answer:

 f (8) ^ - 1 = 3/2

 option 2

Answer:

3/2 B

Step-by-step explanation:

Edge

Which of the following choices will simplify 7 − 5(3)2 ?

Answers

Answer:-23

Step-by-step explanation:

7-5(3)2

7-5x3x2

7-30=-23

The fair spinner shown in the diagram above is spun.
Work out the probability of getting a factor of 10.
Give your answer in its simplest form.


Answers

Answer:

The answer is "0.2"

Step-by-step explanation:

Given value:

factor = 10

The amount of two divided by the number of options. When both fours and eight gaps are available, that probability can be defined as follows:

[tex]\Rightarrow \frac{2}{10}\\\\\Rightarrow \frac{1}{5}\\\\\Rightarrow 0.2\\[/tex]

Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 19 specimens of a particular species, 6 resprouted after fire. Estimate with 96% confidence the proportion of all shrubs of this species that will resprout after fire. Interval: .1884 to

Answers

The 96% confidence interval for the proportion of all shrubs of this species that will resprout after fire is approximately 0.1274 to 0.5042.

Here, we have,

To estimate the proportion of all shrubs of this species that will resprout after fire with 96% confidence, we will use the formula for a confidence interval for a proportion.

The formula for the confidence interval for a proportion (p) is given by:

CI = p ± Z * √(p * (1 - p) / n)

where:

CI is the confidence interval

p is the sample proportion (resprouted specimens / total specimens)

Z is the critical Z-score corresponding to the desired confidence level (96% confidence level corresponds to a Z-score of approximately 1.750)

n is the sample size (total number of specimens)

Given information:

Total number of specimens (n) = 19

Number of specimens that resprouted after fire = 6

Now, calculate the sample proportion (p):

p = (number of specimens that resprouted) / (total number of specimens)

p = 6 / 19 ≈ 0.3158 (rounded to four decimal places)

Now, calculate the critical Z-score for a 96% confidence level (use a Z-table or calculator):

Z ≈ 1.750

Now, calculate the margin of error (E):

E = Z * √(p * (1 - p) / n)

E = 1.750 * √(0.3158 * (1 - 0.3158) / 19)

E ≈ 0.1884 (rounded to four decimal places)

Finally, calculate the confidence interval:

CI = p ± E

CI = 0.3158 ± 0.1884

The 96% confidence interval for the proportion of all shrubs of this species that will resprout after fire is approximately 0.1274 to 0.5042.

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Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?

Answers

Answer:

$172.50

Step-by-step explanation:

1150 * 0.15 = 172.5

Answer:

the answer is 172.50

Step-by-step explanation:

So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer

Step-by-step explanation

1150 * 0.15 = 172.5

If it was helpful can u mark me brainliest pls!!!!!!!!!!!

The measures of the angles of a triangle are 25 degrees, 87 degrees, and 68 degrees. Is the triangle acute, right, or obtuse?

Answers

Answer:

their all less than 90 degress so its acute

Step-by-step explanation:

The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?

Answers

Answer:

D,E

Step-by-step explanation:

hope I helped

What is the sum of 6 x 12?

Answers

Answer:

72

Step-by-step explanation:

because 6 x 10 is 60 so 6 x 2 is 12, so 12 + 60 is 72.

missy went to the store and bought 3 packs of candy. Each packs holds 5 chocolate bar. how many chocolate bars did missy but at the stores

Answers

Answer:

15

Step-by-step explanation:

5 x 3 = 15

Hope this helps ;)

Choose the correct answer.
1. What is the value of the 5
in 5,307?
A5,000
B 500
C 50
D 5
please help !!!!!​

Answers

Answer:

A. 5,000 is the value.

Step-by-step explanation:

The 5 is in the thousands place.

Answer:

A

Step-by-step explanation:

It is in the thousands place


Caroline is making a triangular flag with a base of 10 inches and a height of 8 inches. What is the
area of the flag?

Answers

Answer:

take your base x height and / 2. 10x8=80/2=40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

estimate 3655 + 498 rounding off to the nearest hundred​

Answers

Answer:4200

Step-by-step explanation:

3655+498=4153

4153 approximated to the nearest hundred is 4200

Omar purchased a used vehicle for $6,500 one year ago. He drove 12,000 miles during the year and kept a record of all his expenses. The variable costs totaled $1,972.50, and the fixed costs totaled $2,476.25. What was the cost per mile for Omar to operate his vehicle last year?
1 point
$0.16
$0.20
$0.37
$2.70

Answers

Answer:  $0.16

Step-by-step explanation:

Hi, to answer this question we simply have to divide the variable cost ($1,972.50) by the number of miles driven (the variable; 12,000 miles)

Mathematically speaking:

1,972.50 /12000 = 0.16

The cost per mile for Omar to operate his vehicle last year was $0.16

Feel free to ask for more if needed or if you did not understand something.

KARLA has spent $33 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation will help you find the cost of the cheese?

Answers

C+.5c+4c=$33 is the correct equation

For the given triangles select the lengths of the sides.

Answers

Answer:

v=3

u=6

x=2√2

y=2√2

Step-by-step explanation:

First triangle :

tanΦ=v/3√3

tan30=v/3√3

(√3)/3=v/(3√3)

Cross multiply

(√3)/3 x 3√3=v

(√3 x 3√3)/3=v

(3√9)/3=v

(3x3)/3=v

9/3=v

3=v

v=3

Sin30=v/u

0.5=3/u

Cross multiply

0.5xu=3

0.5u=3

Divide both sides by 0.5

0.5u/0.5=3/0.5

u=6

Second triangle :

sin45=x/4

Cross multiply

x=4 x sin45

x=4 x (√2)/2

x=2√2

Cos45=y/4

Cross multiply

4 x Cos45=y

4 x (√2)/2=y

(4√2)/2=y

2√2=y

y=2√2

what is 5/8 - 4/7 but simplified? i dont know how to do it​

Answers

Answer:3/56

Step-by-step explanation:

5/8-4/7

(35-32)/56

3/56

Olivia has eight envelopes labeled “x” and an additional $218, and Jasmine has five envelopes labeled “x” and an additional $521. Each envelope has the same amount of money in it. How much money must be in each envelope for them to have the same amount of money? Write and solve an equation. Solve each of the following inequalities for the given variable. Represent your solutions algebraically and on a number line. Be sure to use a test point to check your solution region.

Answers

Answer:

The envelopes have to have $101 for them to have the same amount of money.

x=$101

Step-by-step explanation:

Olivia has eight envelopes labeled “x” and an additional $218, so we can write that she has this amount of money:

[tex]M_o=8x+218[/tex]

Jasmine has five envelopes labeled “x” and an additional $521.  We can write the money that Jasmine has as:

[tex]M_j=5x+521[/tex]

If both have the same amount of money, we have:

[tex]M_o=M_j\\\\8x+218=5x+521\\\\8x-5x=521-218\\\\3x=303\\\\x=303/3=101[/tex]

The envelopes have to have $101 for them to have the same amount of money.

Answer

The envelopes have to have $101 for them to have the same amount of money.

x=$101

Step-by-step explanation:

A tire salesman was paid a $25.90 commission after one of his customers purchased a set of new tires for $370. What is the commission rate?

Answers

Answer:

7%

Step-by-step explanation:

25.9÷370=0.07×100=7%

i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel​

Answers

Answer:

errday i b countin up countin up da blues  count away sometimes we always lose

Step-by-step explanation:

juice wrld

Answer:

juice wrld

Step-by-step explanation:

The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The ratio of the number students in miss Henry’s class compared to the number of students on mr. Wilson’s class is 8:9. What is the ratio of number of students in mr. Moore’s class to mr. Wilson’s class?

Answers

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9

What is Ratio?

The ratio can be expression as how many times one number contain another number.

For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2

How to find ratio?

Consider M denote the number student present in the Mr. Moore's class

similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class

then we have given that

M : H = 5 : 4 or

[tex]\frac{M}{H} = \frac{5}{4}[/tex]

Also we have H : W = 8 : 9

[tex]\frac{H}{W} = \frac{8}{9}[/tex]

Now multiply these two equations we have

[tex]\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}[/tex]

[tex]\frac{M}{W}= \frac{10}{9}[/tex]

The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9

This is the conclusion to the answer.

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It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm When did the truck start driving through the neighborhood? Choose 1 answer:

Answers

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or 28 minutes

Proved: 28 minutes

Plane P cuts sphere o in a circle that has diameter
20. If the diameter of the sphere is 30, how far is the
plane from O?​

Answers

Answer:

  5√5 ≈ 11.18 units

Step-by-step explanation:

The Pythagorean theorem can be used to find the unknown leg of a triangle with hypotenuse 15 and one leg 10:

  d = √(15^2 -10^2) = 5√(3^2 -2^2) = 5√5

The plane is 5√5 units from the center of the sphere.

Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why. The cholesterol levels of a sample of 10 female employees are listed below. 130130 145145 215215 170170 165165 225225 240240 185185 130130 132132 What is the mean cholesterol​ level? Select the correct choice below and fill in any answer box to complete your choice. A. The mean cholesterol level is nothing. ​(Round to one decimal place as​ needed.) B. There is no mean score.

Answers

Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

= 173873.7

For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

Median = 335335/2

Median = 167667.5

Mode = 130130



If V = 15 cm, W = 20 cm, X = 25 cm, Y = 7 cm, and Z = 22 cm, what is the perimeter of the object?
A.
53 cm
B.
64 cm
C.
118 cm
D.
78 cm

Answers

Answer:

Sum of all the sides.

Step-by-step explanation:

Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.

Therefore the sum total of the given sides V, W, x ,Y, Z are;

15 +20 + 25 + 7 + 22 = 89cm

Since a picture isn't available to know which sides of the objects can be added.

Which of the following relations represents y as a function of x?
A. {(2,2), (2,3), (2,4), (2,5)}
B. {(0,1), (-7,1), (0,6), (8,1)}
C. {(2,6), (3,6), (5,-2), (3,8)}
D. {(1,2), (2,3), (5,3), (7,9)}​

Answers

Answer:

The correct answer is D

Step-by-step explanation:

In a function, none of the x values in the set can be repeating. D is the only option that meets this requirement.

What the the Quotient 7/12 divided by 2/5

Answers

Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

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Write the equation of the quadratic function in standard form represented by the graph.

Answers

Answer:

f(x)=x²+6x+8

Step-by-step explanation:

hello : here is an solution

A boathouse costs $2750 a month to operate, and it spends $650 each

month for every boat that it docks. The boathouse charges a monthly fee of

$900 to dock a boat. If n is the number of boats, which equation represents

the profit function of the boathouse?

O A. p = 2750n + 250

O B. p= 900n + 2750

O c. p = 250n- 2750

O D. p = 650n + 2750

Answers

Answer: P=250n-2750

Step-by-step explanation:

The profit function of the boathouse is given as follows p = 250n- 2750.

What is the profit function?

The profit function is a mathematical function that reflects a company's or business's profit as a function of the number of products or services produced and sold.

The revenue generated by the boathouse with n boats is given by the monthly fee per boat multiplied by the number of boats, which is $900n.

The total cost to operate the boathouse with n boats is the fixed cost of $2750 plus the variable cost of $650 per boat, which is $2750 + $650n.

Therefore, the profit function of the boathouse is given by the revenue minus the cost:

p = 900n - (2750 + 650n)

Simplifying this expression, we get:

p = 250n - 2750

Thus, the answer is (c) p = 250n - 2750.

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A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the flagpole to the nearest metre

Answers

Answer:

  23 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...

  Tan = Opposite/Adjacent

  tan(48°) = h/(21 m)

  h = (21 m)tan(48°) ≈ 23.32 m

The height of the flagpole is about 23 meters.

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