An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses

Answers

Answer 1

Answer:

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a vehicle having all defective fuses:

5% of fuses are defective, which means that [tex]p = 0.05[/tex]

A vehicle has 4 fuses, which means that [tex]n = 4[/tex].

This probability is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]

If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?

For each vehicle, 0.00000625 probability of having all defective fuses. For 2:

[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses


Related Questions

Math each value on the left with the number on the right that includes that value.

Answers

B is the right answer

Answer:

Answer given below

Step-by-step explanation:

5 thousands - 45,809

8 hundreds - 958,823

3 millions - 3,072,700

2 ten thousands - 7,426,580

7 hundred thousands - 752,671

A box is full of thousands of numbered tickets. We want to estimate the unknown average of all the numbers in the box. To do this, we draw 250 tickets at random. The numbers on these 250 tickets average out to 118 with a standard deviation of 53. Round your values to three decimal places. We estimate the average of all the tickets in the box to be . Attach a give-or-take value to this estimate. (That is, estimate the standard error.) For an 85% confidence interval, about how many standard errors should be added to and subtracted from the estimate

Answers

When I try to type the right answer it says incorrect answer

Write 0.0000000000048 as a multiple of a power of 10.

Answers

Answer:

Step-by-step explanation:

6.492506e-114

Answer:

4.8 x 10^-12

hope this helps

have a good day :)

Step-by-step explanation:

What is the equation for the axis of symmetry of your quadratic ?
Y=x^2-4x

Answers

Answer:

[tex]y = {x}^{2} - 4x \\ y = x(x - 4)[/tex]

help!! very easy math! please answer correctly. <3

Answers

Answer:

y=1x+(-8)

Step-by-step explanation:

Calculate the amount of interest on $4,000.00 for 1 year, compounding daily at 4.5 % APR. From the Monthly Interest Table use $1.046025 in interest for each $1.00 invested.

Answers

Answer:

Sierra Madre Oceandental range

Why is 5992 divisible by 6​

Answers

Answer:

Because its 9987 * 6

Step-by-step explanation:

Well, you could use simple math.

6:

1,6

2,3

I'm sorry if this is what you weren't looking for.

Problem ID: PRAFJA9
Look at this graph.

What is the slope of line k?
(I will give you the brainiest thing )(please answer quick)

Answers

Answer:

10/4

Step-by-step explanation:

The answer is 5/2 the rise is 5 the run is 2

Evaluate the following, using the distributive property. (i) – 39 × 99

(ii) (– 85) × 43 + 43 × ( – 15)

(iii) 53 × ( – 9) – ( – 109) × 53

(iv) 68 × (–17) + ( –68) × 3

(v) 26 x (-48) + (-48) x 36

(vi) (-41) x 102

(vii)(-57) x (-19) + 5

Answers

Answer:

(i) - 33 × 99

= - 3267

(iii) 53 × ( - 9) - ( - 109) × 53

= - 477 + 109 × 53

= - 477 + 5777

= + 5300

(ii) (-85) × 43 + 43 × ( - 15)

= - 3655 + 43 - 645

= - 3655 - 645 + 43

= - 4300 + 43

= - 4257

PLEASE HELP
PLEASEEEEEE

Answers

7g 3b 7grade jzjdishsgsudhfhxhxhx

somone pls help me

Answers

Answer:

14800 sq yd

Step-by-step explanation:

145+225=370

370÷2=185

185x80=14,800

Determine the Surface area of the box (Show work)

Answers

Answer:

Step-by-step explanation:

Ok. If this is surface area we will have to multiply all the areas together. So, 12 x 8 x 2 = 192. Your answer will be 192.

Is (–5, 2) a solution to the equation y = x?

Answers

No because -5 does not
Equal 2

compute the value of the discriminant and give the number of real solutions of the quadratic equation​​

Answers

mag aral ng mabuti para may alm

Step-by-step explanation:

yan ang answer

the product of a number and 5 is increased by 12 the result is 32 find the number​

Answers

Answer:

4

Step-by-step explanation:

First, to get just the multiplication equation, we need to do,

32-12 = 20

20/5 = 4

The number is 4.

Now let's check our work.

4x5+12=32

The answer is 4.

The required number is 4.

Let the number be x.

Given, the product of x and 5 increased by 12 gives 32.

So in equation form,

[tex]5x+12=32\\[/tex]

Subtracting 12 from both the sides,

[tex]5x+12-12=32-12[/tex]

[tex]5x=20\\\\[/tex]

[tex]x=\dfrac{20}{5}[/tex]

Or, [tex]x=4[/tex]

Hence the required number is 4.

For more details follow the link:

https://brainly.com/question/10439298

Order each expression from smallest (top) to largest (bottom).
|-10
|--2
III
15
10
III III
2

Answers

the answer goes in this order
-10
-2
1
|-2|
|-10|
15

WILL







GIVE

N N N N N


BRAINLIST

Answers

Answer:

31338is the correct answer

Answer:

THE LAST ONE

Step-by-step explanation:

13,158-18,180=5022

Subtract BECAUSE WE NEED THE DiEFFRENT

Which number line shows one way to find the value of 2 - 6?

Answers

B is the answer. All the other ones don’t work, and I promise you it’s the answer. Good luck!
B because all the other answer don’t add up at all lol

Start at the origin, shift up 3 units

Answers

The answer would be (0, 3) or 0 x-axis and 3 y-axis. The origin is the middle of the graph or the 0 so if you go up it will be (0, 3) and since the x-axis goes first in a perpendicular line

What is the slope of the following graph?

Answers

I believe the slope is -2/3

In her first basketball game, Charlotte scored 21 points. In the next game, she scored 15
points. By what percent did her score decrease?
ASAP

Answers

Answer:

28.57%

Step-by-step explanation:

Find the percent decrease by dividing the change in the number of points by the original number of points, then multiplying it by 100:

((21 - 15) / 21) x 100

(6 / 21) x 100

= 28.57

So, her score decreased by approximately 28.57%

Translate the word phrase into a math expression.
15 fewer than the product of 4 and a number.

ples look at pic to know the options :)

Answers

Answer:

15 - 4x

Hope this helps :)

Amelia has a 1-6 number cube (dice). She rolls the cube twice. What is the probability that she rolls two even
numbers in a row?

Answers

Answer:

6/9

Step-by-step explanation:

2/6 x 2 = 0.6... and the 6 keeps repeating. There is one repeating number, so your answer is 6/9.

simplify 0.6 kg : 3/4 kg : 400 g​

Answers

Answer:

0.6 kg x .4 kg /.75 = 0.32 kg

I need help can someone help

Answers

Answer:

yes i can but will have to get back to you in about half a hour just doing maths atm with the teacher

Step-by-step explanation:

What is the value of the expression below when x=3

Answers

Answer:

There is no image

Step-by-step explanation:

Try isolating the variable in the equation

Consider the function f(x)=x−5ln(x), 1/5≤x≤10.
The absolute maximum value is =

and this occurs at x equals =

The absolute minimum value is =

and this occurs at x equals =

Answers

f(x) = x - 5 ln(x)

Get the derivative:

f'(x) = 1 - 5/x

Find the critical points:

• f'(x) = 1 - 5/x = 0   ->   5/x = 1   ->   x = 5

• f'(x) is undefined for x = 0, but that's outside the domain of f(x)

Get the second derivative:

f''(x) = 5/x ^2

Check the sign of the second derivative at the critical point x = 5:

f'' (5) = 5/5^2 = 5/25 = 1/5 > 0

Since the second derivative is positive at this point, this means x = 5 is a local minimum.

Check the value of f(x) at the critical point as well as the endpoints of the given domain:

f (5) = 5 - 5 ln(5) ≈ -3.407

f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809

f (10) = 10 - 5 ln(10) ≈ -1.513

So we have

• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5

• absolute minimum = 5 - 5 ln(5) at x = 5

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Given the function f(x)=x−5ln(x),

We are to find the absolute minimum and maximum value of the function

At the turning point f'(x) = x - 5ln(x)

f'(x) = 1 - 5/x

0 = 1 - 5/x

-5/x = -1

-x = -5

x = 5

Find the second derivative of the function;

f''(x) = -5/x²

Substitute the value of x = 5 into the second derivative function to have:

f''(5) = -5/5² = 1/5

Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Learn more here: https://brainly.com/question/19921479

Here is the next one jaded :))

Answers

Answer:

x = 5.56

Step-by-step explanation:

Sin(17) = [tex]\frac{x}{19}[/tex]

=> Isolate the "x"

Sin(17) * 19 = x

5.56 = x

Hope this helps!

what would be the value of x please help

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The segment marked 6x is the midline of the triangle, so is half the length of the base.

  6x = 1/2(84)

  x = 42/6 = 7

The value of x is 7.

A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches a size of 750 after 6 hours. Find the value of k.
NO LINKS!!!!!!

Answers

9514 1404 393

Answer:

  k ≈ 0.03719

Step-by-step explanation:

Fill in the given numbers and solve for k.

  750 = 600e^(6k)

  1.25 = e^(6k)

  ln(1.25) = 6k . . . . . take the natural log

  k = ln(1.25)/6 . . . . . divide by 6

  k ≈ 0.03719

Other Questions
At the age of 13, what does Juliet think of marriage. no links please help I'll give you brain thing if its correct Someone please help me Ill give out brainliest please dont answer if you dont know Which statements are true?Select each correct answer. Only some triangles are plane figures. All triangles are closed figures. All triangles are polygons. All triangles have 3 right angles. All triangles have 3 straight sides.Multi answer BTW A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the model? Select all that apply. A. P(green) = 27 2 7 , P(yellow) = 27 2 7 B. P(green) = 38 3 8 , P(yellow) = 18 1 8 C. P(green) = 14 1 4 , P(yellow) = 14 1 4 D. P(green) = 521 5 21 , P(yellow) = 1121 11 21 E. P(green) = 37 3 7 , P(yellow) = 114 1 14 Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Meteorologists often try to predict what the high temperature of a day will be several days beforehand. Why do meteorologists not try to predict the high temperature of a day six months in the future?A. Weather does not follow any predictable patterns.B. Meteorologists have this information but choose not to share it with the public.C. It is impossible to know what season it will be six months in the future. D. Weather is a highly complicated system that is very difficult to predict.HELP Respond to the questions with where each country is located using your new lesson vocabulary. Rponds aux questions avec des phrases compltes.O se trouve la France?O se trouve l'Allemagne?O se trouve le Luxembourg?O se trouve l'Italie?O se trouve le Canada?O se trouve le Mexique? how does the author's discussion of George Orwell's 1984 contribute to the text(paragraph 8) How many moles of NO are made frommixing 7.2 moles of NH3 and 9.6 molesof O? Identify the limiting reagent. a description about agriculture A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let 'H' be the plant's height (in centimeters) after 'M' months.Write an equation relating 'H' to 'M'. Then use this equation to find the plant's height after 34 months.Equation:________ What is the end behavior of this radical? f(x) = 4 square root x - 6 Work out the mean for the data set below: 5, 6 Give your answer as a decimal. In early April 2020, an amendment to the annual budget for 2020 was approved by the city council for inflows and outflows in the Street Improvement Bond Debt Service Fund related to the bond issue. The debt service fund budget amendment provides for estimated other financing sources of $20,000 for the premium on bonds sold and estimated revenues of $12,500 for accrued interest on bonds sold; and appropriations in the amount of the one interest payment of $25,000 to be made during 2020. (The payment that is due on July 1, 2020.)Required:Record the budget for the Street Improvement Bond Debt Service Fund for year 2020. What do the people of America want more than anything else? To my mind, they want two things: work, with all the moral and spiritual values that go with it; and with work, a reasonable measure of securitysecurity for themselves and for their wives and children. Work and securitythese are more than words. They are more than facts. They are the spiritual values, the true goal toward which our efforts of reconstruction should lead. These are the values that this program is intended to gain. Franklin D. Roosevelt, July 2, 1932 According to Roosevelt, what do Americans value the most? having a career that is personally fulfilling and enriching being safe from wars and the dangers of military conflicts being able to freely follow a religion or spiritual belief having a job that pays the bills and knowing that work will be steady August decides not to dress up in his ordinary planned costume for Halloween because...A. it is too difficult to put on when he is in a hurryB. he decides he does not want to wear a costume at allC. he forgot the mask at his grandmother'sD. he is afraid that other students will wear the same one need help ace plsss Whats the cheapest car 2021 How has non-renewable energy and technology improved but at the same time endangered our way of life ? (4 Points) a . Fossil fuels have allowed most countries to Improve their industry, economy, and livelihood. However, these nonrenewable energy sources have also caused environmental degradation of natural resources, ecosystems, and climate change. Technology or alternative energy is cleaner, and more sustainable which promotes a longer llfe expectancy for all specles. B. Non-renewable energy is great for our environment. The use of fossil fuels has been a great ecosystem service to the environment. Alternative energy such as Solar Power may cause mass extinction.