7. An emergency cooling system consists of a cooling water tank that has cooling water in it about 92% of the time, an emergency cooling water pump that can be counted on to start when needed about 94% of the time, and an emergency cooling water valve that opens when tripped about 96% of the time. Someone will actually push the emergency button in an emergency about 90% of the time, and it will work when pushed about 98% of the time. What is the probability the emergency cooling system will work when needed

Answers

Answer 1

Answer:

the probability the emergency cooling system will work when needed is 80.5%

Step-by-step explanation:

 Given the data in the question;

the probability that someone will actually push the emergency button in an emergency from 90% to 99% of the time

E[tex]_4[/tex] ⇒ Someone will actually push the emergency button in an emergency

P(E[tex]_4[/tex]) = 90% = 0.90

E[tex]_4[/tex] : Someone will actually push the emergency button in an emergency

P(E[tex]_4[/tex]) = 99% = 0.99

P(E) = P(E1) × P(E2) × P(E3) × P(E4) × P(E5)

we substitute

P(E) = 92% × 94% × 96%  99% × 98%  

P(E) = 0.8054

P(E) = 80.5%

Therefore, the probability the emergency cooling system will work when needed is 80.5%


Related Questions

x/6 - 10 =2


Show your work.

Answers

Answer:

72

Step-by-step explanation:

x/6 - 10 = 2

x/6 = 12 (add 10 to both sides)

x = 72 (multiply 6 to both sides)

A store marks up it prices by 37%. What is the new price of an
item that was originally $28?

Answers

Answer:

$38.36

Calculate 137% of 28, and you will get $38.36, unrounded.

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.

Answers

Step-by-step explanation:

8x13 kkkxkgkgxkgxkkkxkkk

PLS HELP ME PLZZ!!!!!!!!!!!! =)​

Answers

81. a negative times a negative is a positive

What value of s in the equation S/6=18?
A.108
B.24
C.12
D.3​

Answers

Answer:

108

Step-by-step explanation:

s=18x6

s=108

A. 108 S=108




Your welcome

By visual inspection, determine the best-fitting regression model for the data plot below. A. exponential B. linear decreasing C. linear increasing D. no pattern

Answers

B. Linear decreasing

The best-fitting regression model for the data plot given is linear decreasing. Therefore, option B is the correct answer.

What is linear regression?

Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.

In the given graph, the data plot shows the decreasing order.

Therefore, option B is the correct answer.

Learn more about the linear regression here:

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What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?

Answers

Answer: I’m pretty sure the common factor is 15x3y

Answer:

Answer: I’m pretty sure the common factor is 15x3yStep-by-step explanation:

What value of x would make the following relation a function?

Answers

Answer: the answer is

C.) -2

Step-by-step explanation:

I got this answer by simply looking at the pattern. It goes -2,-3,2,3, and then starts over, So the answer would have to be -2. I hope this helped and good luck:))

The value of x that would make the relation a function is x = 3.

Option D is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

{ (-2, -3), (-3, -2), (2, 3), (3, 2), (x, 2) }

A function can not be one-to-many.

A function can be many-to-one and one-to-one

Now,

If x = 2, -3, -2 we get one-to-many.

But if x = 3 we get one-to-one.

Thus,

x = 3.

Learn more about functions here:

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What is the value of x in the following ayatem?
6x + 3y = 15

Answers

Answer:

[tex]x=\frac{5-y}{x}[/tex]

Step-by-step explanation:

(5x^{2}+3x-1)-(3x^{2}-4x-6)
find the difference PLEASE HURRY IM TIMED

Answers

Answer:

=2x2+7x+5

Step-by-step explanation:

Answer:

2x^2 + 7 x + 5

Step-by-step explanation:

I can't waste time giving an explanation if you're timed ;) if this helped you, leave a brainliest! :)

What is 11 7/20 in decimal form?

Answers

Answer:

the answer is 11.25

Step-by-step explanation:

Convert the proper fraction to decimal: Divide the numerator by the denominator

7 ÷ 20 = 0.35

Add this decimal number to the whole number of the mixed fraction

11 + 0.35 = 11.35

Find the sum:
5
3 +2
6
Help pls

Answers

3 + 2 + 5/6

= 5 + 5/6

= 5 + 0.83 (convert 5/6 to decimal form)

= 5.83

2. A bookshelf costs $300 normally. Today it is on sale for 20% off. Which expression or expressions could you use to find the sale price? Circle all correct answers.
a.300 + 0.2(300)
b.300 - 0.2(300)
c.0.2(300)
d.300(0.8)

Answers

Answer/Step-by-step explanation:

$300 is the normal price the sale is 20% off

You would need to multiply them together because it then gives you how much it is off.

Then then you would subtract it.

That takes D and C off.

A , is adding and we arnt adding we are subtracting.

Therefore you answer is: B

Solve the system

2x+3y=9
-2x - 9y + -15
sorry if this does not make sense pls help me

Answers

Answer:

i would probably try looking it up and really srr i can't help much

bajar dos numeros de las que aparecen en la primera seccion, segundo: el resultado irá con el segundo dijito de la ( y) y despues dividirlo entre el numero que dio al multipliar esos dijitos

please help this is due in 5 minutes

Answers

Answer:

23 inches

Step-by-step explanation:

23 inches and you are’s welcome too

I need help please...

Answers

Answer:

it's B I think because I worked it out and I got B

Which rule describes the function whose graph is shown?

Answers

Answer: B

Step-by-step explanation:

from edge

Answer:

B

Step-by-step explanation:

Edge 2022

Solve for z.
z^3 - 8=0
Write your answers in simplified, rationalized form.
it needs to have an i, square roots i don’t know how to answer it someone please help me

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{z^3 - 8 = 0}\\\text{ADD 8 to BOTH SIDES}\\\mathsf{z^3 - 8 + 8 = 0 + 8}\\\text{Cancel\ out: -8 + 8 because that gives you 0}\\\text{Keep: 0 + 8 because it gives 8 and we need that to solve for your z value}\\\mathsf{z^3=8}\\\text{TAKE the CUBE ROOT}\\\mathsf{z = 8{^(\dfrac{1}{3})}}\\\\\text{SIMPLIFY the EQUATION above and you have your z value}\uparrow\\\\\boxed{\boxed{\large\text{Answer: \bf z = 2}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

You deposit $700 into a bank account. Every year that account increases by 5%.

Determine the Initial Value:

CAN ANYONE HELP ME PLZZZ

Answers

Answer:

i thank its. 140% not 100% sure

Part 2: Kristen is paid $8.25 per hour. How much would her paycheck be for 39 hours? Show your work

Answers

$321.75, just multiply the 2 numbers

The Kristen's paycheck for 39 hours is $321.75.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Kristen is paid $8.25 per hour.

Paycheck for 39 hours

= 39×8.25

= $321.75

Therefore, the Kristen's paycheck for 39 hours is $321.75.

To learn more about the unitary method visit:

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The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 per month. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month

Answers

Answer:

0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 per month.

This means that [tex]\mu = 2350, \sigma = 260[/tex]

Sample of 65 one-bedroom apartments

65>30, which means that the sampling distribution of the sample means will be approximately normal. Also, [tex]n = 65, s = \frac{260}{\sqrt{65}} = 32.249[/tex]

What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month?

This is 1 subtracted by the pvalue of Z when X = 2260.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2260 - 2350}{32.249}[/tex]

[tex]Z = -2.79[/tex]

[tex]Z = -2.79[/tex] has a pvalue of 0.0026

1 - 0.0026 = 0.9974

0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.

7/15 to the nearest thousandth ?

Answers

Answer:

0.47

Step-by-step explanation:

Answer:

47/100

Step-by-step explanation:

0.47 Hope it helps (•‿•)✌️

Van wants to build a square field with a fence around the outside. If he has 104 feet of
fencing, what should be the length of each side of his field?

Answers

Answer:

26

Step-by-step explanation:

104 divided by the 4 sides (for perimeter) equals 26

Simplify
15/25
1- 3/5
2-1/5
3-1/3
4/2/5

Answers

The answer is number 1. 3/5 because 5 goes into 15 3 times and 25 5 times

Answer:

A 3/5- is your answer that would be best.

I NEED AN EXPLANATION

Answers

=7×9

=36 square feetffgxdx

Can someone help me with these questions pls just for a bit pls thank you so much if you help or try

Answers

Answer:

-1.75 goes in the first square ( the one closer to -2 )

-3/4 goes in the second square

1/4 in the third square

.75 in the fourth square

1 1/2 in the fifth square

-1.75 < 1 1/2

Step-by-step explanation:

can you please show me how you got the answer (50 points)

Answers

Answer:

[tex]4x^{6}2y^{-2}[/tex]

Step-by-step explanation:

We can use a property I like to call SEi-F. (Subtract Exponents in a Fraction)

But first, there is an exponent outside of the parentheses in both places. We can use the Power of Parentheses to simplify and then use the SEi-F.

We will start with the x in the numerator.

3*4 = 12

Now for the y in the numerator.

4*4 = 16

Our new numerator is [tex]4(2x^{12}y^{16})[/tex]

We do need to simplify the numerator one more time to get rid of the 4 outside the parentheses.

We will start with x's coefficient.

2*4 = 8

Now for y's coefficient.

1**4 = 4

*y seems to have no coefficient, but if so, it has a coefficient of 1. This applies to other variables.

Our final simplified numerator is [tex]8x^{12}4y^{16}[/tex].

Repeat with the denominator.

Try it yourself!

Make sure that when you finish, you finish the fraction.

After completing the denominator, your completed fraction should be:

[tex]\frac{8x^{12}4y^{16}}{4x^{6}2y^{18}}[/tex]

Now we can use the SEi-F to complete the problem.

Start with x.

8x - 4x = 4x

12 - 6 = 6

The first term is [tex]4x^{6}[/tex].

Now for y.

4y - 2y = 2y

16 - 18 = -2

The second term is [tex]2y^{-2}[/tex]

The complete, simplified equation is [tex]4x^{6}2y^{-2}[/tex].

I could be wrong on the answer, but the work should be correct.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

How’s ure day going?

Great
Good
Descent
Bad
TRASH

Answers

Answer:Good, could be better. You?

Step-by-step explanation:

You are taking a survey to determine the most popular pizza ordered at the local pizza shop. Which of the examples below will give a random sample of the population? Select all that apply. A) Watching people order pizza one night each week for a month B) Asking your friend what his favorite pizza is C) Having 50 customers rate their favorite pizza as they order D) Asking 5 people at the pizza shop what they ordered

Answers

Answer: A

Step-by-step explanation:

(NOT A MULTIPLE CHOICE)

Suppose a civic engineer wants to conduct a survey to find out if residents of a city would be in favor of widening one of the city's roadways for increased traffic flow

a. Would a sample consisting of residents who utilize that roadway to travel to work each morning be representative? Explain.

b. Would a sample consisting of residents who live along that roadway be representative? Explain.

c. Would a random sample of homeowners in the city be representative? Explain.

Answers

9514 1404 393

Answer:

  a, b, c --- all not representative

Step-by-step explanation:

The question posed by the engineer is "are residents of the city in favor of ...".

The only representative sample is one from a pool that includes all residents of the city—not just those who (a) use the road, (b) live along the road, or (c)  own homes.

__

Additional comment

The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.

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