Three assembly lines Alpha, Beta, and Gamma make the same power transistor. Each of the assembly lines has its own level of efficiency. Resulting in inventory having 20% of the transistors from Alpha, 50% from Beta, and the remaining 30% from Gamma. Further the probability a transistor from Alpha will be defective is 0.02, a transistor from Beta will be defective is 0.06, and a transistor from Gamma will be defective is 0.04. If a random transistor from inventory is defective, what is the probability it came from Bet

Answers

Answer 1

Answer:

P [ β / Def]  = 0,6521     or      65,21 %

Step-by-step explanation:

Tree diagram:

0,20 (α)       Defective  0,02

0,50 (β)       defective   0,06

0,30 (γ)       defective    0,04

According to Baye´s Theorem

P [ A/B]  = P[A] * P [ B/A] / P[B]

if we call

β = A   and  Defective = B       then  P[β] = P[A]  and P[Defective] = P[B]

we get :

P [ β / Def]  = P[β] * P [ def./β] / P[def]

Then

P[β] = 0,5

P[def/β] = 0,06

P [Defective] = 0,02* 0,2 + 0,06*0,5 + 0,04*0,3

P [Defective] = 0,004 + 0,03 + 0,012

P [Defective] = 0,046

P [ β / Def]  = 0,5 * 0,06 / 0,046

P [ β / Def]  = 0,6521     or      65,21 %


Related Questions

Please help number 5 thank you

Answers

Answer    2,290 of total sheets of paper she bought.

Step-by-step explanation:

65x36=2340

subtract 50 for the black pages that she did not use.

2340-50=2,290

Answer:

743487 uhy7ujnuh

1 bag of grape tomatoes coast $3 how many packages can you buy for $15

Answers

Answer:

5 package

Step-by-step explanation:

1 bag = $3

X bag = $15

1 * 15/3 = 5 bags

hence : 5 bag can be bought out of $15

       

Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 − p2q3, (2, 1), v = i + 3j

Answers

Answer:

-4√10 / 5 or -8√10 / 5

Step-by-step explanation:

See attachment for calculation

PLEASE ANSWER ASAP I ONLY HAVE 30 MINUTES please

Answers

can you add a picture of the triangles that it’s talking abt
Pls put a pic of the triangles so I can it Thxs

1 A hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north.
-What is the total distance traveled by the hiker?
-Draw a sketch representing the situation. Draw the resultant vector for the hiker’s displacement and label it R.
-What is the magnitude of the hiker’s displacement vector?

Answers

Answer:

Step-by-step explanation:

Distance has to do with how far an object or a body has travelled. If a hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north, the total distance covered by the hiker will be:

Distance = 2.0km + 1.4km

Total distance travelled = 3.4km

The displacement is the distance covered in a specified direction. This is expressed using the Pythagoras theorem as shown:

R² = 2.0²+1.4²

R² = 4+1.96

R² = 5.96

R = √5.96

R = 2.44km

Hence the magnitude of the hiker’s displacement vector R is 2.44km

Find the diagram attached

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of LaTeX: 50cm^3/hr. At what rate is it's diameter decreasing

Answers

Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex] and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 [tex]\rm cm^3/hr[/tex].

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

[tex]\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}[/tex]        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

[tex]V = \pi r^2 h[/tex]

Step 3 - Differentiate the above expression with respect to 'r'.

[tex]\dfrac{dV}{dr} = 2\pi r h[/tex]          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

[tex]\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}[/tex]

[tex]\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\[/tex]

[tex]\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}[/tex]

So, the rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex].

For more information, refer to the link given below:

https://brainly.com/question/12748872

i’ll mark brainlest:( i need help!

Answers

Answer: Choice A)  [tex]3 \sqrt{26}[/tex]

==================================================

Work Shown:

[tex]\text{The two points are } (x_1,y_1) = (6,7) \text{ and } (x_2,y_2) = (3,-8)\\\\d = \text{Distance between } (x_1,y_1) \text{ and } (x_2,y_2)\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} = \text{Distance Formula}\\\\d = \sqrt{(6-3)^2+(7-(-8))^2}\\\\d = \sqrt{(6-3)^2+(7+8)^2}\\\\[/tex]

[tex]d = \sqrt{(3)^2+(15)^2}\\\\d = \sqrt{9+225}\\\\d = \sqrt{234}\\\\d = \sqrt{9*26}\\\\d = \sqrt{9}*\sqrt{26}\\\\d = 3\sqrt{26}\\\\[/tex]

When going from 234 to 9*26, the idea here is to factor where one factor is the largest perfect square possible. That way we can use the rule [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex] to break up the root and simplify.

please tell me the answer

Answers

Answer:

so so so so srry i cant see that pic

Step-by-step explanation:

Viel

Eram

back

A movie theater has 4 groups of seats. The largest group

of seats, in the middle, has 21 rows, with 21 seats in each

row. There are 2 smaller groups of seats on the sides, each

with 21 rows and 7 seats in each row. A group of seats in

the back has 6 rows, with 33 seats in each row.

Step by s

How many seats are in the movie theater

Textbod

side

middle

side

Print

Part 1 out of 6

Complete the explanation for what you need to know.

of the movie theater.

You need to find the number of sections that are in each row

Check

Next

Tuin

Se

and Close

Oo

Answers

Answer:

933 seats

Step-by-step explanation:

Given that :

4 different group of seats are in a movie theater :

The middle group ; 2 side groups and the back group

Number of seats in the movie theater :

THE MIDDLE GROUP:

21 Rows and 21 seats per row

Number of seats = 21 * 21 = 441 seats

THE SIDE GROUPS:

21 rows and 7 seats per row

Number of seats = 2(21 * 7) = 294 seats

BACK GROUP:

6 rows and 33 seats per row

Number of seats = 6 * 33 = 198 seats

Total number of seats :

441 + 294 + 198 = 933 seats

18
8
13
7
Find the area of the white granite area in the picture above.

Answers

Answer: 178

Step-by-step explanation:

18x13

234 area of white granite

8x7

56 area of blue granite

234-56 to find the area of the white granite

what is the sale tax on a $14,500 truck if the tax rate is 9%​

Answers

Answer:

$15, 805.00

Step-by-step explanation:

Tax is based on the state you live in.

Translate the given phrase into an algebraic expression and simplify if possible: the product of −4 and 16

Answers

Answer: -4 x 16, -48

Step-by-step explanation:

word phrase: -4 x 16

symplified = -48

product means multiply

estimate the answer for 1 2/3 x 5 1/10 (type a whole number​

Answers

Answer:

Exact Form:

17/2

Decimal Form:

8.5

Mixed Number Form:

8 1/2

Finding the Slope of a Line from a Table What is the slope of the linear function represented in the table?
-7
-1/7
1/7
7​

Answers

The slope of the line is 1/7 You do the change in y divided by the change in x

The ratio of the number of boys to the number of girls I just school is 5 to 8 if there are 208 students in the school how many girls can you expect

Answers

Answer:

128 girls

Step-by-step explanation:

boys : girls = 5 : 8

Number of boys  = 5x

Number of girls = 8x

Total students  = 208

5x + 8x = 208

       13x = 208

           x = 208/13

x =  16

Number of girls = 8x = 8 * 16 = 16 * 8

                         = 128

Answer:

12

Step-by-step explanation:

im so dumb i cant solve it for my sis cause i dont remember TwT

Answers

Answer:

The third answeer

Step-by-step explanation:

Also nice talk

The coordinates of the point 3/10 of the way from A(-3,-8) to B(11,4) are ___?

Answers

Answer:

The coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

Step-by-step explanation:

to calculate the point 3/10 of the way from A to B, let us first find the difference in the coordinates of the point

Change in x coordinate: x₁ = -3,  x₂ = 11

= x₂ - x₁ = 11 - (-4) = 11 + 4 = 15

3/10 of 15 = 0.3 × 15 = 4.5

This means that the point on the x axis is 4.5 points away from x₁

= -4 + 4.5 = 0.5

Change y coordinate: y₁ = -8,   y₂ = 4

= y₂ - y₁ = 4 - (-8) = 4 + 8 = 12

3/10 of 12 = 0.3 × 12 = 3.6

This means that the point on the y axis is 3.6 points away from y₁

= -8 + 3.6 = -4.4

Therefore the coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

Sharon went bowling with her friends. She paid $3 to rent
her shoes and then $3.75 for each game (x) of bowling. She
spent a total of $18. How many games did she bowl?
WRITE YOUR EQUATION:
SOLVE:
SOLUTION:

Answers

Answer:

3 + 3.75x=18

subtract 3 from both sides

3.75x=15

divide by 3.75 on both sides

x=4

Step-by-step explanation:

How can I prove my teacher I’m an advanced kid?

Answers

Answer:

tell them that you would like them to reconsider your level in whatever class that is

Step-by-step explanation:

Answer:

Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.

Step-by-step explanation:

hope this helped

Marcel was writing an article for his school paper and read a report that said 2 out of every 20 items purchased at a clothing store were returned. What percent of items were returned to the clothing store?

Answers

10% of items were returned to the store.

Answer:

0.1% were returned

A pair of $72 sneakers is marked with a sign $20 OFF or 20% OFF: The $20 of final price is​

Answers

Answer:

52

Step-by-step explanation:

i did the test.

Assuming the butterflies traveled 3000 miles to reach their winter home, they averaged 60 miles per day and flew for an average of 8 hours per day.

What is there average speed per hour?

How many days would it take for them to reach their destination?

Answers

Answer:

1. 7.5 mph

2. 400

Step-by-step explanation:

1. You would just do 60/8 to find the answer.

2. You would take the answer you got from the previous question and do 3000/7.5

Hope I helped!! :)

...........I need help......

Answers

The anwer is B, f(x)=9500-750x

Hope this helps, brianliest if you can!

What is the slope of a line parallel to a line whose slope is 5/2?

Answers

Answer:

5/2

Step-by-step explanation:

Parallel lines have the same slopes

Answer:

Step-by-step explanation:

because the new line is parallel, it will have the same slope as the original equation.

slope

=

3

we know the slope and a point, so we can use the point slope formula:

y

y

1

=

m

(

x

x

1

)

y

1

is the y coodinate,

x

1

is the x coordinate,

and m is the slope

plug the values in

y

+

2

=

3

(

x

+

5

)

Main Menu
Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6

Answers

Answer:

c = 4

Step-by-step explanation:

Solve for"c" in the following equation:

- 8 c + 7 = - 25

Subtract 7 from both sides:

- 8 c = - 25 - 7

combine like terms

- 8 c = -32

divide both sides by "-8" to isolate c on the left

c = - 32 / (-8)

c = 4

Find the slope given the points (3,5), and (-2,5).

Answers

Answer:

m = − 2

Step-by-step explanation:

in the diagram of the collinear points, PT=20 QS=6 and PQ= QR= RS. find each lenght

Answers

Answer:

QR=3, PQ=3, RP=6, SP=9, RS=3, ST=11, RT=14, QR=3

Step-by-step explanation:

Find the value of x. PLEASE HELP - test tomorrow
The answer is 39.
I need to show my work.

THANK YOU!!!!!

Answers

Answer:

39

Step-by-step explanation:

b+25+296=360

b+321=360

b=360-321

b=39

1. During October, William Korth worked 160 regular time hours at $9.28 an hour and 18 overtime hours at time-

and-a-half. What is William’s gross pay for October?


2. Last year, Ida Zolen worked 2,000 hours at regular time pay of $8.20 an hour. She also worked 75 hours over time

at double his regular rate. What was Ida’s gross pay last year?


3. Alan Kirbaum works on an 8-hour day basis and is paid $8 an hour for regular time work and time-and-a half for

overtime work. Last week he worked these hours: Monday:9 ; Tuesday:6 ; Wednesday:11 ; Thursday:8 ; Friday:9.

A) How many regular hours did he work?

B) How many overtime?

C) What is his overtime rate?

D) What is his overtime pay?

E) Find Alan’s gross pay.


4. Stephen Woll’s regular pay is $20 an hour. He is paid time and a half for overtime work beyond 40 hours a week. He

worked: Monday:11 ; Tuesday:10 ; Wednesday:10 ; Friday:12. Find Stephen

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

1.) regular time hours = 160

Overtime hours = 18

Gross pay = (9.28 * 160) + (1.5 * 9.28 * 18) = $1735.36

2.) Last year, Ida Zolen worked 2,000 hours at regular time pay of $8.20 an hour. She also worked 75 hours over time at double his regular rate. What was Ida’s gross pay last year?

Gross pay:

(2000 * 8.20) + (2 * 8.20 * 75) = $17,630

3. Alan Kirbaum works on an 8-hour day basis and is paid $8 an hour for regular time work and time-and-a half for overtime work. Last week he worked these hours: Monday:9 ; Tuesday:6 ; Wednesday:11 ; Thursday:8 ; Friday:9.

A) How many regular hours did he work?

Regular hours = (8 + 6 + 8 + 8 + 8).= 38 hours

B) How many overtime?

Overtime = (1 + 3 + 1). = 5 hours

C) What is his overtime rate?

2.5 * $8 = $20

D) What is his overtime pay?

$20 * 5 = $100

E) Find Alan’s gross pay.

(38 * $8) + $100 = $404

4. Stephen Woll’s regular pay is $20 an hour. He is paid time and a half for overtime work beyond 40 hours a week. He

worked: Monday:11 ; Tuesday:10 ; Wednesday:10 ; Friday:12. Find Stephen

Total Hour = (11 + 10 + 10 + 12) = 43 hours

x/3-1/2=5/6 solve for the variable

Answers

Answer:

4/3 - 1/2= 5/6 hope this helped

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