A power system will collapse if a ground fault occurs on any two of lines A, B, and C simultaneously. Assume that ground faults on lines A, B, and C are independent and have identical probability of 0.01. Hint: parts (a) and (b), use Bernoulli Trials; part (c), use Bayes Rule. a) What is the probability that the system will collapse

Answers

Answer 1

Answer:

0.000298 = 0.0298% probability that the system will collapse

Step-by-step explanation:

Number of possible ways the system can fail:

2 lines from a set of 3 fail, or all three fail.

Two from a set of 3:

Can be A and B, A and C, or B and C. Three possible outcomes then.

The probability of each is:

0.01*0.01*0.99

Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.

All three:

Each with 0.01 probability.

a) What is the probability that the system will collapse

Both cases, so

[tex]p = 3*(0.01)^2*0.99 + (0.01)^3 = 0.000298[/tex]

0.000298 = 0.0298% probability that the system will collapse


Related Questions

1.) A toy store offers an additional 25% discount on board games that have already been
reduced by 30%. Will the final cost be the same as a discount of 55 %on the original price?
Use an example with an original cost of your choice to help explain your answer.

Answers

Answer:

Yes 25% + 30% =55%

Step-by-step explanation:

yes because 25+30 =55

The final cost not be same as 55% discount.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A toy store offers an additional 25% discount on board games that have already been reduced by 30%.

let the the price of toy be $100.

So, the price after 30% discount

= 100 - 100 x 0.30

= 100 - 30

= $70

and, additional 25% discount

= 70 - 70 x 0.25

= $52.5

Now, if discount is 55% then price would be

= 100 - 100 x 0.55

= $45

Hence, the case is not same.

Learn more about Percentage here:

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what is the percent change of 2880 to 3168

Answers

Answer:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

10% = 10/100 = 10 ÷ 100 = 0.1.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 10% of its value.

Percentage increase = 10% × 2,880

New value =

2,880 + Percentage increase =

2,880 + (10% × 2,880) =

2,880 + 10% × 2,880 =

(1 + 10%) × 2,880 =

(100% + 10%) × 2,880 =

110% × 2,880 =

110 ÷ 100 × 2,880 =

110 × 2,880 ÷ 100 =

316,800 ÷ 100 =

3,168

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 2,880 =

3,168 - 2,880 =

288

Step-by-step explanation:

It would be a percent change of 10%.

P=V2-V1/V1•100

3168-2880=288
288/2880=0.1
0.1•100=10%

x^2 + 14p + 24 = ???​

Answers

Put that into Photomath

Melinda has a 598-page book. If she reads 26 pages each day, how many days will it take for her to finish reading the book?

Answers

Answer:

23 days

Step-by-step explanation:

PLEASE HELP ASAP VERY URGENT WILL GIVE BRAINLIEST

Answers

Answer:

40%

Step-by-step explanation:

You can do 14 divided by 35 to get the decimal 0.4.

Then you multiply 0.4 by 100 because percent is always 100

40%

Hoped I helped

What is x equal to in the equation 10+x=5(1/5x+2)

Answers

Answer:

30

Step-by-step explanation:

Theorm

PLEASE HELP IM DYING RN.
WHAT IS X? 6(x+2)=2(x-3)​

Answers

Answer: x=-9/2
Alternative Form: x= -4 1/2, x= -4.5

Answer:

-9/2

Step-by-step explanation:

6(x+2)=2(x-3)

6x+12=2x-6

6x-2x+12=-6

4x+12=-6

4x=-6-12

4x=-18

x=-18/4

simplify

x=-9/2

Which fraction is the least?

A. 1/2

B. 1/5

C. 1/7

D. 1/10

Answers

D.

Hope this helps!!!
:):):):):):)
:):)
D. 1/10 hope this helps

Lee watches tv for 3 hours per day. During that time the tv consumes 250 watts per hour. Electricity costs 12 cents/1 kilowatt-hour. How much does it cost to run the tv does 30 days?

Answers

Answer:

270 dollars

Step-by-step explanation:

He's going to watch 90 hours of tv in 30 days, so multiply 90 hours x 250 watts, Which is 22500 watts over 30 days, then convert to kilowatts which would be 22.5 kilowatts total. He used .25 kilowatts an hour every day. Then multiple 22.5 x 12 cents to get your answer 270. He paid 270 dollars for electricity for the tv.

What is the total area of the figure below?
answer fast pls 20 pts! <3

Answers

≻───── ⋆✩⋆ ─────≺

Answer:

First, find the area of rectangle.

20 × 30 = 600

Next multiply the square

10 × 10 = 100

Now the curve.

[tex]\frac{10 * 10 = 100}{2}[/tex]

100/2 =50

Then Add all of it.

[tex]600 + 100 + 50 = 750[/tex]

[tex]Area = 750[/tex]

Hope this helps!

-Fishylikeswater

Help me from 3 through 8

Answers

Answer:

3)x=−9  and x=4

4)x=−12  and x=−5

5)x=8  and x=14

6)x=−7  and x=3

7)x=-1 2/3 and x = 1/4

8)x=2/5

Step-by-step explanation:

Hope this helps

Hey so she Emily has 6 eggs she needs 2/3 of the eggs to make an omelette how many eggs does she need

Answers

Answer:

she needs four eggs for her omelette

Step-by-step explanation:

2/3 of a cup is 10 table spoons ans 2 teaspoons

Helppp pleasee need asapp!!!
Two friends decide to rent an apartment and split the cost evenly. They each paid $752 towards the total move in cost which included first and last month’s rent and a security deposit of $499. What will be the cost of rent per month for each of them?

Answers

Answer:

They will both pay $63.50 a month

Step-by-step explanation:

Since they paid $752 total and $499 as a security deposit, you subtract the two, getting you $253 in rent for both months.  Divide that answer by 2 to get $126.5 to get how much they payed each month together, then divide by 2 again to get how much they each payed which is $63.50

x-0.25x =0.75x
Which of the following statement matches the mathematical equation?

Answers

Answer: Decrease a number by 25% is the same as increasing by 75%

Step-by-step explanation:

What is the equation of the line in slope intercept form?​

Answers

Answer:

y = -1/3x + 3

Step-by-step explanation:

Slope = -1/3

Y-intercept = (0, 3)

What is the slope of the line graphed in the coordinate grid?
(Write the answer as a fraction in lowest terms.)

Answers

Answer:

3/4

Step-by-step explanation:

I drew a slope triangle and found the slope by finding the distance between two points on the line.

[tex]vertical distance/horizontal distance[/tex]

Hope this helped!

The slope of the line graphed in the coordinate grid will be;

⇒ m = -4/5

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The line graphed in the coordinate grid is shown in figure.

Now,

Let two points on the graph of the line are (5, 0) and (0 , 4)

We know that;

Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, Slope of the line  passing through the points (5, 0) and (0 , 4) is,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (4 - 0) / (0 - 5)

⇒ m = 4 / (-5)

⇒ m = -4/5

Thus, The slope of the graph = - 4/5

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Need help will mark Brainliest

Answers

Answer:

53

Step-by-step explanation:

Mr. Quick bought a new computer system. The regular price was $1850, but he got a 15% discount. How much did he pay?

Answers

He paid $1572.50 before tax

Answer:

the price Mr. Quick paid is=$1343

 

I think I can help you with this

you can easily solve this by using a rule of three

Step one

find the discount value  if

$1580⇒  100%

$x? ⇒ 15%

do the relation

the discount is $237

the price Mr. Quick paid is

the price Mr. Quick paid is=regular price - discount

the price Mr Quick paid is=$1580-$237

the price Mr Quick paid is=$1343

I hope it helps, Have a great day!!! :)

Step-by-step explanation:

Andrew gives a cashier $40 to buy 3 T-shirts that cost $n each. Which algebraic expression
represents the amount of change Andrew will receive?
O A. 40 + 3n
B. 40 - 3n
O C. 40 x 3n
O D. 40 = 3n
5
The expression 1.8C + 32, where C represents the temperature in degrees Celsius, shows how to
convert from degrees Celsius to degrees Fahrenheit. What
is the temperature in degrees
Fahrenheit when the temperature is 30°C?
o
A. 48.67°F
O B. 63.8°F
C. 86°F
D. 111.6°F


NEED HELP PLEASEEEE ON BOTH QUESTIONS PLEASEEEEE

Answers

Answer:

1. B (40- 3n)

2.c (86)

Step-by-step explanation:

1. The shirts cost 3n. So you do 40- 3n(what the shirts cost) to find the amount of change he will recive.

2. Just plug the numbers in- 1.8(30) + 32=86.

B c I think? ?????????????

How much will you have contributed to a Whole Life insurance policy that has a face value of $60,000 over a 40-year
period, given that the permanent insurance amount for a healthy 30-year-old male is $18.54 per thousand.
a $1,112.4
$60,000
Б. $44,496
$533,952
C.
d
Please select the best answer from the choices provided
O O O O

Answers

Answer: The answer is $44,496. I got it right on the test. Sorry that I was late...

Step-by-step explanation:

:)

Help me quick I need a good grade

Answers

1.) This one is easy. The answer to this one is that the input is being multiplied by 3.

Proof: 1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

2.) The answer is 12 because 4 x 3 = 12.

If you make x dollars per hour and you work 8 hours, how much money will you make?

Answers

You would make X amount of dollars. I can’t give you an exact amount of money because you didn’t tell me how much you make per hour!

please helppp me on this math question ​

Answers

Answer:

C=F/M

C=2640/75

C=35.20

$35.20 Per Band Member

Step-by-step explanation:

C= Cost Per Band Member

F = Food and Bus Cost

M = Band Members

Answer:

The answer is 32.2 (35 with ramainder of 15)

Step-by-step explanation:

THE ANSWER IS 35 WITH REMAINDER OF 15

Please help solve this.

Answers

Answer:

x= 8.9 cm

Step-by-step explanation:

First, since we know that the radius of the circle is 5 centimeters, we know that the diameter of the circle and the hypotenuse of the triangle is 10 centimeters long. Then you use the pythagorean theorem to find out the length of side x. The equation would be: 4.5^2 + x^2= 10^2. Next, you simplify the equation by squaring the squares to get. 20.25 + x^2= 100. Finally, you would subtract 100 and 20.25 to get 79.75 and take the square root of that number to get your x value. x= [tex]\sqrt{79.75}[/tex]. When you do this equation you come out with x=8.93028554975 and then round it to the nearest tenth which is 8.9 cm.

please help me asap.

Answers

Crjcejf Hugh jcusys

VwnWowww.» www
FIRST PRESIDENT
OF THE UNITED
STATES IS ELECTED!
1
Which Virginian is being described in the headline above?
A Thomas Jefferson
B George Washington
с
Patrick Henry
D
George Mason
А
А
B
B

Answers

Answer:

George Washington.

Step-by-step explanation:

The first president of the United States was George Washington. Patrick Henry and George Mason where never elected President. Thomas Jefferson was the Third President. John Adams (not a choice in your question) was the second President.

2/5m to cm pls plshghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

40cm

Step-by-step explanation:

Centimeter means "one hundredth of a meter," so:

1 m = 100 cm

How many meters times 100 will get you how many cm:

2/5m = ? cm

2/5 (100) = ? cm

200/5 = ? cm

40 = ? cm

2/5m = 40 cm

Which comparison of the two equations is accurate?
Equation A: x2+3x-6 = x+2
Equation B: x2+3x-6 = 3 x+2

Answers

Answer:

Equation B: 2x+3x-6 is accurate

Answer:

A: x2+3x-6=x+2

Step-by-step explanation:

A: x2+3x-6=x+2

x2+3x-x-6-2=0

x2+2x-8=0

(x+4)(x-2)=0

x=-4, x=2

B:x2+3x-6=3x+2

x2+3x-3x-6-2=0

x2-8=0

x2=8

x=±[tex]\sqrt{8\\}[/tex] Not accurate

Help please!! Math problem

Answers

Answer:

What are the options?

Step-by-step explanation:

Possible solutions shown of the graph: (0,5) or (4,0)

pls help me on this.......​

Answers

The answer is the bottom one, 5y + 9
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