Two methods, A and B, are available for teaching a certain industrial skill. The failure rate is 30% for method A and 10% for method B. Method B is more expensive, however, and hence is used only 20% of the time. (Method A is used the other 80% of the time.) A worker is taught the skill by one of the two methods, but he fails to learn it correctly. What is the probability that he was taught by using method A

Answers

Answer 1

Answer:

Probability that he was taught by using method A is 14/17

Step-by-step explanation:

Following probabilities are given -  

P (F|A) = 0.2

P (F|B) = 0.1

P (A) = 0.7

P (B) = 0.3

Now, P(A|F) = { P (F|A)* P(A)}/{{ P (F|A)* P(A)} + P (F|B)* P(B)}}

P(A|F) = (0.2*0.7)/( (0.2*0.7)+(0.1*0.3)) = 14/17


Related Questions

What is the approximate area of the shaded sector ?

Answers

Answer:

7.5 cm²

Step-by-step explanation:

Area of shaded sector = θ/360 × πr²

Where,

θ = 180° - 84° = 96°

r = ½(6) = 3 cm

Area of shaded sector = 96/360 × π × 3²

Area = 7.53982238 ≈ 7.5 cm²

A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 74 ft. How much farther does a wheel on the outer travel than a wheel on the inner rail of the track in one turn ?

Answers

Answer:

As we know the formula for "Circumference of circle": Since we have also mentioned that there is 2 feet wide circular track for a camera dolly. Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.

Step-by-step explanation:

i hope it helped

Which sequence is modeled by the graph below? (6 points)

Answers

Answer:

Step-by-step explanation:

evaluate 13+(43÷2)×5−17 .

Answers

Answer:

103.5

Step-by-step explanation:

13 + (43 ÷ 2) × 5 - 17

13 + 21.5 × 5 - 17

13 + 107.5 - 17

107.5 - 4

103.5

103.5

I recommend using an app called “Photomath” for math problems

Please help me with my math

Answers

Answer:

47.5 yd²

Step-by-step explanation:

Area = 1/2 ( base x height )

Area = 1/2 ( 19 x 5 )

Area = 1/2 ( 95 )

Area = 47.5 yd²

Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.

Answers

Answer:91

Step-by-step explanation:

What is the length of side 'y'?

Answers

Answer:

B

Step-by-step explanation:

Answer with steps please i have 1 mark on this with steps





Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need



Answers

Answer:

56cm²

Explanation:

the amount of material he needs would be the total surface area of the box. surface area can be calculated by finding the sum of surface area of all the sides of the box. since the opposite sides are equal, we can find the surface area of 3 different sides and then multiply it by 2.

(4 + 4) + (4 + 6) + (6 + 4) × 2

= 8 + 10 + 10 × 2

= 28 × 2

= 56cm²

i hope this helps! :D

What are the solution(s) to the quadratic equation 40 - x2 = 0?
O x = +2/10
O x = +4/10
O x = +2/5
x = +4V5

Answers

Answer:

±2sqrt(10)

Step-by-step explanation:

40 - x^2 = 0

Add x^2 to each side

40 -x^2 + x^2 = x^2

40 =x^2

Take the square root of each side

±sqrt(40) =sqrt(x^2)

±sqrt(4)sqrt(10) =x

±2sqrt(10) =x

Find the circumference of the circle to the nearest tenth.
C
6 cm

Answers

I assume the radius is 6 cm.

Diameter = 2 times the radius.

D = 12 cm.

We now use C = pi•D.

C = pi•12cm

C = 12pi cm

Done!

This is relative frequency tables. Can someone help ?

Answers

Answer:

87 is the answer

Hope it helps!!!

Step-by-step explanation:

In which choice do all three points lie on the same straight line?
A. (0, 1), (-1, 3), (1, 3)
B. (4, 2), (2, 1), (4, -2)
C. (0, 0), (8, 0), (0, 8)
D. (1, 2), (2, 4), (4, 8)

Answers

I think the answer is D

Will give brainlst
Have a nice day

Answers

Answer:

7/2

Step-by-step explanation:

[tex]12x=4(x+2)+20\implies\\12x=4x+8+20\implies\\12x=4x+28\implies\\8x=28\implies\\x=28/8=7/2[/tex]

[tex]y=8x+12[/tex]

Answer:

14/4 , y = 8x + 12

Step-by-step explanation:

12x = 4x + 28

x= 14/4

.

y = ax+b

a is the slope

b is the y intercept

Find the quadratic root of 3 x² - 4x + 2​

Answers

Answer:

it has no real roots.

and the 2nd answer is correct.

Step-by-step explanation:

Answer:

this quadratic equation has two roots:

x = (2+i√(2))/3 , (2-i√(2))/3

Steps:

3x²-4x+2​=0

x = (4±√((-4)²-4×3×2))/2×3

x = (4±√(16-24))/6

x = (4±√(-8))/6

x = (4±√(-2×4))/6

x = (4±√(-2)×√(4))/6

x = (4±i√(2)×2)/6

x = (2±i√(2))/3

x = (2+i√(2))/3 , (2-i√(2))/3

Find the slope of the line.

Answers

Answer:

3/3 or 1

Step-by-step explanation:

Remember the slope of the line is y/x

You can either count the distance going from point 1 to point 2 or

subtract (4-1)/(4-1)= 3/3

I NEED HELP ASAP PLS HELP!

Answers

You: 3, 6, 9, 12

Friend: 4, 8, 12, 16

Your friend sells 16 tickets.

Answer:

you is 5 and friend is 12 and 16 your friend sells 16 tickets

Step-by-step explanation:

lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to
have four different colors.
If order does not matter, in how many ways can she pick four colors if green must be one of them?
4
6
10
15
O

Answers

Answer:

6 is correct

So Iliana has 6 ways to pick for colors, if green is not one of them. :)

6! Sorry if I’m wrong I tried

What's the perimeter of rectangle DEFG, shown?
O A) 28
B) 34
C) 40
OD) 17

Answers

where is the rectangle


Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use?

Answers

Answer:

48 cups of water

Step-by-step explanation:

Using the provided ratio of 6:5.5...

if 6:5.5

then

48:44

o
Which statement is not true?
1. ET is perpendicular to plane BAD.
2. ET is perpendicular to plane FAB.
3. ET is perpendicular to plane CAD.
4. ET is perpendicular to plane BAT.



Answers

Answer:

4.) ET is perpendicular to plane BAT

Step-by-step explanation:

"Fifty-seven more than two times j"

Answers

Answer:

2j+57

Step-by-step explanation:

Two times a umber j is expressed as 2j

if Fifty-seven is more than two times j", this means we will have to add 57 to 2j as shown;

f(j) = 2j + 57

Hence the statement written as a function is expressed as 2j+57

What is the value of x?

Answers

Answer:

The value of x=12

Step-by-step explanation:

because the whole thing is 90 and the other angles are equal to 78 if you add them together. So you would subtract 90-78 which equals 12.

Please help me! This is due tomorrow and I really need some help! Thank you.

Answers

Answer:

A

Step-by-step explanation:

3.5 x 1 x 1.4 = 4.9

Answer:

A. 4.9ft³

Step-by-step explanation:

V= LxWXH

V= 3.5x1.4x1= 4.9

V= 4.9ft³

explain C = 15 + 0.6Yd

Answers

explain what exactly ? are we solving for a variable ?

what is 150 divided by 625 step by step

Answers

Answer:

150 dived by 625 is 0.24 I'm not sure how to explain it


Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.


Answers

Answer:

The first term is -6 and common difference is 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

T3 = a+2d

T4 = a + 3d

If the third term of an arithmetic sequence less than the fourth term by three

T3 = T4 - 3

a+2d = a+3d - 3

2d - 3d = -3

-d  = -3

d = 3

Similarly;

T7 = a+6d

T5 = a+4d

If the seventh term  is two times the fifth term, the;

T7 = 2T5

a+6d = 2(a+4d)

a+6d = 2a+8d

Since d = 3

a + 6(3) = 2a + 8(3)

a+18 = 2a + 24

a-2a = 24 - 18

-a = 6

a = -6

Hence the first term is -6 and common difference is 3

w + what - s = w
help plz help helppp i want help

Answers

Answer: S

Step-by-step explanation:

w + ? - s = w

w + s - s = w

w = w

the co-terminal angle of -120°​

Answers

Answer:

-480°, 240° (among others)

Step-by-step explanation:

± 360

Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.

Answers

Answer:

To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.

please help me I will give a brainlist​

Answers

Answer:

I think this is helpful .

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