The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, but one or both always go off when there is motion anywhere in the house. Suppose that for motion in a certain location, the probability that detector a goes off and detector b does not go off is 0. 25, and the probability that detector a does not go off is 0. 35. What is the probability that detector b goes off?.

Answers

Answer 1

The probability that detector B goes off is 0.75

The probability of an event is known to be the likelihood or chance for an event to occur.

From the given information let consider:

A = the time when detector A goes off, andB = the time when detector B goes off

Since one or both of them always goes off, then:

P(A or B) = 1

Their complements will be zero, i.e.

P(A' and B') = 0

Similarly, we are given that:

P(A and B') = 0.25

Then;

P(A') = 0.35

The set probability for A will be:

P(A) = 1 - P(A')

P(A) = 1 - 0.35

P(A) = 0.65

Finally, the probability that detector B goes off can be computed as:

P(B) = P(A) P(B|A) +P(A') P(B|A')

P(B) = P(A) (1 - P(B|A')) + P(A') (1 - P(B'|A')

[tex]\mathbf{P(B) = P(A) (1-\dfrac{P(A \ and \ B')}{P(A)}) +P(A') (1 - \dfrac{P(A' \ and B')}{P(A')})}[/tex]

[tex]\mathbf{P(B) = 0.65 (1-\dfrac{0.25}{0.65}) +0.35 (1 - \dfrac{0}{0.35})}[/tex]

P(B) = 0.75

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Related Questions

Properties of protein is least likely to be affected by change in ph.

Answers

Answer:

Given

Rate of interest = 10% per annum

Principal for the first year = Rs 6000

Interest for the first year = Rs (6000 × 10 × 1) / 100

= Rs 600

Amount at the end of first year = Rs 6000 + Rs 600

= Rs 6600

Principal for the second year = Rs 6600

Interest for the second year = Rs (6600 × 10 × 1) / 100

= Rs 660

Amount for the second year = Rs 6600 + Rs 660

= Rs 7260

Therefore, compound interest for 2 years = final amount – (original) Principal

= Rs 7260 – Rs 6000

We get,

= Rs 1260

A town has a population of 5000 and grows at 3. 5% every year. To the nearest tenth of a year, how long will it be until the population will reach 7300?.

Answers

Answer 11.0 Years

Solution:
set,
after
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. the population
reach 7300.
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we can get
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equation
5000 (1 + 3:594)*
=
7300
X=
In(3))
1n2)+3-5%)
write
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question!

A presidential veto is an example of which of the following?.

Answers

Answer:

a veto is when the president denies a new law.  you could look this up  and this is the definition: The power of the President to refuse to approve a bill or joint resolution and thus prevent its enactment into law is the veto. ... This veto can be overridden only by a two-thirds vote in both the Senate and the House. If this occurs, the bill becomes law over the President's objections.

Explanation:

hope this helps

Read the following excerpt from as i lay dying: i made it on the bevel. There is more surface for the nails to grip. There is twice the gripping-surface to each seam. The water will have to seep into it on a slant. Water moves easiest up and down or straight across. In a house people are upright two thirds of the time. So the seams and joints are made up-and-down. Which best explains how the structure of this excerpt reveals cash's personality?.

Answers

Based on the given information, the structure of the excerpt that reveals cash's personality is C: it orders ideas sequentially to illustrate cash's idea of a perfect coffin.

The structure of the excerpt reveals cash's personality is that  there is a listing of cash's idea as regards the perfect coffin.

We can see that he explained how Water moves easiest up and down or straight and other structure that give the main points.

Therefore, option C is correct because it orders ideas sequentially to illustrate cash's idea of a perfect coffin which gives the structure of the excerpt.

CHECK THE COMPLETE QUESTION BELOW.

which best explains how the structure of this excerpt reveals cash's personality?

a. it lacks dialogue to illustrate that cash prefers solitude to society.

b. it avoids paragraphs to show that cash has rejected tradition.

c. it numbers cash's ideas to show that he is logical and organized.

d. it orders ideas sequentially to illustrate cash's idea of a perfect coffin

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Answer:

It numbers Cash's ideas to show that he is logical and organized

Explanation:

I Just took the test

At a local corner store, the cost of a bag of chips at the corner store is $1. 30, and the cost of a banana is $1. 40. What would it cost to get 4 bags of chips and 5 bananas? what would it cost to get xx bags of chips and yy bananas?.

Answers

Answer:  $12.20

Explanation:

4(1.30)+5(1.40)=

5.20+7.00=

$12.20

The cost to get x bag of chips and y bananas is:

x(1.30)+y(1.40)

Which of these are elements of an epic poem’s structure and style? select 4 options.

Answers

The answer choices which are elements of an epic poem’s structure and style are:

The use of poetic verse throughout the epic A narrative voice that tells the story Elevated or eloquent, style Compelling speeches

An epic poem has to do with the journey which a hero undertakes and the various obstacles which he faces on his way and how he is able to overcome them.

With  this in mind, we can see that there is usually the use of poetic verse which narrates the journey and the use of narrative voice, eloquent style and compelling speeches which are used to praise the hero.

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What is gentrification and what are some of its advantages and disadvantages?.

Answers

Answer:

Disadvantage

It changes the cultural standards of the neighborhood. ...

Gentrification can sometimes make a community poorer. ...

It raises the cost of rent when it happens. ...

Gentrification replaces the people who built the community. ...

It causes the rich to get richer, while the poor may or may not benefit.

Advantage

On the positive side, gentrification often leads to commercial development, improved economic opportunity, lower crime rates, and an increase in property values, which benefits existing homeowners.

Explanation:

hope it helps you

Background information: this is an excerpt from a letter written by lorenzo de’ medici, the ruler of florence from 1469–1492, to his son giovanni, who had just become a cardinal. You are now devoted to god and the church: on which account you ought to aim at being a good ecclesiastic [priest], and to show that you prefer the honor and state of the church and of the apostolic see [the authority of the pope] to every other consideration. . . You should be the link to bind this city closer to the church, and our family with the city. . . You are always to prefer the interests of the church. –lorenzo de' medici, to his son giovanni, 1489 which of these claims is supported by evidence in the passage? renaissance men were more concerned with secular ideas than religious ones. Despite the growth of humanism, the church was still important to renaissance men. Renaissance men owed their loyalty to their city-state above all other considerations. The most important consideration for any man was his family, followed by the church.

Answers

Answer: Despite the growth of humanism, the church was still important to Renaissance men.

Explanation: The renaissance was all about moving more towards humanism and secular ideas, but in this Passage Lorenzo directs his son to devote himself to the church, showing that the church is still a very big and important piece of their lives.

Answer:

The answer is B. Despite the growth of humanism, the church was still important to Renaissance men.

Explanation:

Even though they had other thing going on the church still meant a lot to these men.

what effect does the tone of the excerpt have on the reader? it fosters a belief that the narrator is unreliable. it produces a contradictory urge to stop reading and to continue. it inspires confidence that everything will work out fine in the end. it encourages surprising delight in blood and gore.

Answers

Answer: option b it produces a contradictory urge to stop reading and to continue

Explanation:

Hope this helps

The correct response is - Option B results in a conflicting impulse to quit reading and to continue, which is the B answer.

What is an Impulse?

In classical mechanics, the integral of both a force, F, over the time period over which it acts, t, is referred to as the "impulse." Impulse is a vector quantity since force is one as well. When an item receives an impulse, its linear momentum likewise changes in the opposite direction in an analogous vector.

The impulse function is a very brief pulse that can theoretically never end that is used to assess system dynamics. An impulse function in the real world is a pulse that is substantially shorter than the system's temporal response.

In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. The letter J stands for it, and is typically expressed in Newton-seconds

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Describe a strange dream that you have seen recently.

Answers

When describing a strange dream that you had, there are several ways to go about it and this is one:

First introduce yourself into the story. Talk about how you fell asleep. Slowly guide the text into the dream. Talk about the different scenes in the dream and end it on the scene that felt the strangest to you. Explain why this was strange.

Writing an essay can be academic dishonesty so I will walk you through how to write one yourself.

Steps in the essay

Introducing yourself does not mean saying your name. You can simply use the pronoun, "I." Talk about what you were doing, for instance, walking home, or watching television.

Then talk about how you fell asleep - could be in your bed, on a seat on the bus, or even on a sitting room couch.

Then begin to talk about how the dream started. Talk about how the dream began and then progressed till you get to the strange events.

Talk about these strange events and end on the strangest; then explain why this scene was strange if it isn't apparent.

Conclusion

It is best to either use little detail or a lot of detail, avoid the middle ground.

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Why is human capital important index important for a country brainly.

Answers

Answer:

Human capital

Explanation:

The term human capital refers to the economic value of a worker's experience and skills. Human capital includes assets like education, training, intelligence, skills, health, and other things employers value such as loyalty and punctuality.

Select the correct answer. Consider these functions. F(x) = -2x − 5 g(x) = x − 2 which graph shows the composite function (f ◦ g)(x)? a. B. C. D.

Answers

Composite functions are functions formed by combining multiple functions that may or may not be the same.

The composite function (f o g)(x) is -2x - 1

The functions are given as:

[tex]f(x) =-2x - 5[/tex]

[tex]g(x) = x - 2[/tex]

The composite function (f o g)(x) is calculated using:

[tex](f\ o\ g)(x) = f(g(x))[/tex]

Given that:

[tex]f(x) =-2x - 5[/tex]

Substitute g(x) for x in the above equation

[tex]f(g(x)) =-2g(x) - 5[/tex]

Substitute [tex]g(x) = x - 2[/tex]

[tex]f(g(x)) =-2(x - 2) - 5[/tex]

Expand

[tex]f(g(x)) =-2x + 4 - 5[/tex]

So, we have:

[tex]f(g(x)) =-2x -1[/tex]

Hence, the composite function (f o g)(x) is -2x - 1

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The four (4) types of speech according to delivery are also observed in.

Answers

Answer: Manuscript, memorized, impromptu, and extemporaneous.

Part A
Read this sentence from the passage.
The All­-Star Game, a single baseball game held halfway through the 162­-game major league season, pits the best players from one league against the best players from the other—or at least that's what it's supposed to do.
How does the author use the sentence to advance his point of view in the passage?

by using facts to enhance his credibility

by using words that call a claim into question

by using language that persuades the reader to agree

by using a sarcastic tone to create interest for the reader

Answers

Answer: by using facts to enhance his credibility

Explanation:

One of the most important characteristics of leadership is credibility, which comes from character and skill. For leaders looking to generate extraordinary performance and beneficial effects, high credibility is a huge asset. A lack of credibility is disastrous. Thus, option A is correct.

What, using facts to enhance his credibility?

Whether from personal experience or education, a statement of credibility demonstrates to the audience why you have the expertise essential to deliver this speech. For example, you might mention to the audience that you've taken a class on the topic or have worked in a field connected to it.

Therefore, Credibility is based on two key components: perceived competence, or people's confidence in the leader's expertise, abilities, and capacity to perform, and trustworthiness, or their confidence in the leader's moral character and reliability.

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The author’s main purpose is to convince readers to.

Answers

Can you show us the choices to the question

What was the outcome of the mexican revolution brainly.

Answers

The Mexican Revolution, which began in 1910, ended dictatorship in Mexico and established a constitutional republic

When diana got off the train there was a woman waiting for her.

Answers

It is very important to use the right words in any sentence When Diana got off train there was a woman waiting for her on the platform.

In the A case of mistaken identity, we can see that  as Diana got off the train, there was a woman who was waiting for her on the platform. The woman was known to have ask her if she was Diana.

In the story, Diana was suppose to be picked up by her aunt, but she was too busy and sent someone to pick her at the station.

The woman did not recognize her, as dressed very formally, with a small briefcase. Diana was very tired as a result of the journey and she happily got into the car.

See full question below

When Diana got off train there was a woman waiting for her A)below B)to C)on D)it the platform

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A science class is planning a field trip to a local farm that has a large pond. Which of the following lists the order of biological organization from smallest to largest that the students can expect to find at the pond?.

Answers

organism, community, population, ecosystem

Which statement best summarizes the central idea of this passage? in america, great things can be achieved if one plans in advance and works hard. Political struggles are not the only things that create a latino or latina identity. There are many different aspects to a latino identity, including the importance of family. Identity comes from many aspects, including political struggles that inspire how one lives life.

Answers

Answer:

Identity comes from many aspects, including political struggles that inspire how one lives life.

Explanation:

Took the test !!!

Identity comes from many aspects, including political struggles that inspire how one lives life. This statement is best to summarize the passage.

What is Politics?

Politics is the process by which those who live in groups decide on things. Politics is the process of establishing agreements between individuals so that they may coexist in social units like tribes, cities, or nations. Some individuals may invest a significant amount of effort in reaching such agreements in huge groupings, such as nations.

Politics and government are frequently used interchangeably or as synonyms. One significant distinction between "politics" and "government" is that politics is typically connected with individuals vying for and retaining political office.

Elections are typically mentioned when the phrase "politics" is used in English-speaking nations. The national, state and local elections are at the heart of American politics.

Hence, Identity comes from many aspects, including political struggles that inspire how one lives life. This statement is best to summarize the passage.

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On a small planet, an astronaut uses a vertical force of 175 newtons to lift an 87. 5-kilogram boulder at constant velocity to a height of 0. 350 meter above the planet’s surface. What is the magnitude of the gravitational field strength on the surface of the planet?.

Answers

Since the boulder is raised with constant velocity, the net force on the boulder is zero, so that the boulder has weight 175 N on this planet. If its mass is 87.5 kg, then the acceleration due to gravity is g such that

175 N = (87.5 kg) g   ⇒   g = (175 N) / (87.5 kg) = 2.00 N/kg = 2.00 m/s²

Which statements about the system are true? select two options. Y = y equals startfraction 1 over 3 endfraction x minus 4. X – 4 3y – x = –7.

Answers

Answer:

x-43y-x=-7

or, x-x-43y=-7

or, 43y=-7

or, y =-7-43

or, y=50

Answer:

The system consists of parallel lines.

Both lines have the same slope

Explanation:

Just took the test and got this one right.

What is the word for the place where two streets intersect.

Answers

Answer:

Intersection

Explanation:

A place where two streets intersect would be known as an intersection.

Drugs always produce the same sensation in first-time users. Please select the best answer from the choices provided t f.

Answers

Answer:

False.

Explanation:

Every time you take a drug the sensation is always going to be different. Often times, this leads to drug addiction because most addicts take drugs over and over again to reproduce those same effects on their brain.

Which of the following factors may impact a persons bac.

Answers

Explanation:

Which factors? I am pretty sure we need a picture for this?

In 1-2 sentences, explain if the ellipsis is used in the paragraph to indicate a pause or an omission. Use details to support your answer.

Answers

Three equally spaced points ( . . . ) often used  to represent an omission of words in a quotation are best known as ellipsis. They are also known as ellipsis dots, suspension points, or simply ellipsis.

Usage

"For example, I may be writing an article to be published in a journal and not include ellipsis. . ."

In summary, we utilise ellipsis to indicate that a list goes on beyond those items actually spelled out in the text.

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Emma puts $10,000 in a simple interest account at a bank. She will earn $1,800 in 4 years. What is the annual interest rate for the account?.

Answers

Answer: 4.5%

Explanation:

A = P(1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

A = 10000 + 1800 = 11800

11800 = 10000 (1 + r4)

1.18 = 1 + 4r

4r = 0.18

r = 0.18/4 = 0.045 = 4.5%

The required annual interest rate is  4.5% for the account.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

A = P(1 + rt) ...(i)

First, we have to find the final amount

Initial principal amount (P) =  $10,000

Time (t in years) = 4

A = P + S.I.

A = 10000 + 1800 = 11800

Substitute the values in the above formula (i),

11800 = 10000 (1 + r × 4)

1.18 = 1 + 4r

4r = 0.18

r = 0.18/4 = 0.045 = 4.5%

Therefore, the required annual interest rate is  4.5% for the account.

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Elena walked 12 miles. Then she walked 0. 25 that distance. How far did she walk all together?.

Answers

Answer:15 Miles
I Hope This Helps

in what 3 ways did the presidential election process change as a result of the election of 1800?

Answers

Three ways that the presidential election process change as a result of the election of 1800 were that the elections for president and vice president were kept separate, the nomination of candidates for presidential electors pledged to vote for their party's presidential ticket.

A government has stopped printing money. It has also directed its national banks to limit new loans to increase the amount of currency held in reserve. The government's goal is to reduce the amount of money available to keep the value of its currency from dropping. Which macroeconomic goal is this government trying to achieve?.

Answers

The macroeconomic goal that this government is trying to achieve is: Increasing its gross domestic product (GDP).

Macroeconomics can be defined as the study of performance, behaviors, and factors that affect an entire economy. Thus, macroeconomics is mainly focused on the following aggregate phenomena with respect to the central bank, demand or supply shocks, government policies, aggregate spending and savings:

Price levelEconomic growthGross Domestic Product (GDP)InflationUnemploymentNational income levels

In this scenario, the government is typically interested and aiming to reduce the amount of money (money supply) that is available within the economy, in order to keep the value of its currency from dropping and depreciating.

This ultimately implies that, the macroeconomic goal that this government is trying to achieve is an increase in its gross domestic product (GDP).

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Answer:

reducing inflation

Explanation:

a pex

Accenture has signed a multi year agreement to help a mobile telecom provider.

Answers

The activity that Accenture should execute first to provide the client with an optimal cloud solution/landscape is;

Negotiate pricing with the client's preferred cloud provider

Complete question is;

Accenture has signed a multi-year agreement to help a mobile telecom provider migrate its applications to the Cloud over a a period of several years, as it seeks to implement a learner operating model. Which activity should accenture execute first to provide the client with an optimal cloud solution/landscape?

Since the company accenture has signed an agreement to help a telecoms provider to migrate all their applications to cloud platform over a couple of years, the first thing they must do is to negotiate the cost of migration with the preferred cloud services provider of the client.

This is because the agreement has already been signed and the next thing is modalities for execution of the migration and they need to first know the negotiate a price so that they will make their profit since it is a business at the end of the day.

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A study is testing the effectiveness of a new allergy medication. Sixty people who reported they experience allergies were randomly assigned to one of two groups: one with the new medication, and another with a placebo. After two weeks, the subjects were surveyed by technicians to determine their level of allergic symptoms.Which of the following would benefit this experiment the most?This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.This experiment should be single blind. The subjects do not know which treatment they are receiving to control for the placebo effect, but the technicians need to know which group received which treatment.This experiment should be single blind. The subjects know which treatment they are receiving but the technicians do not know which group received which treatment, so the response being measured is not affected.This experiment should not use blinding. It is unethical for the subjects not to know which treatment they are receiving, placebo or new medication, and for the technicians not to know which group received which treatment. Which equation matches the graph? Which part of a cell is used by a virus to produce its protective protein coat? how many moles of oxygen would you need to produce 4 moles of aluminum oxide? 4 Al + 3 O2 ----> 2 Al2O3 hey i need some help with this one. Why can the grasses now grow when they couldnt earlier? Guided PracticeGive a reason to justify the equation.3y+ (-5y) = [3+ (-5)]yA. Commutative Property of AdditionB. Associative Property of AdditionC. Distributive Property The word fat often carries a negative connotation. Write a story or observation where something fat is celebrated. Select a word from the Word Bank to correctly complete each statement.Alderdale Indian strange Chinamain true story conditions vocabularies robber three Papa reminded the children they must respect their ____ friends. $200 at 15.5% for 2 years Camden and his children went into a restaurant where they sell hotdogs for $4.50 each and drinks for $1.50 each. Camden has $30 to spend and must buy no less than 8 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and y represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.-please help!!!! include all steps please 40x^-4 y^6 ________10x^-5 y^5 Share 30 in the ratio 1:5 between Tim and Sam What percent of the respondents preferred dark chocolate or milk chocolate?Write your answer using a percent sign (%). Lucy borrowed $73,250 to purchase a home. The bank offered her an APR of 3.15% for a term length of 20 years. Excel calculates the monthly payment to be $411.77. If she were to pay only the minimum payment for the lifetime of the loan, how much will Lucy be paying in interest? Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number Why does Earth experience different seasons?the revolution of Earth on its own axis in 24 hoursthe revolution of Earth on its own axis in 24 hoursthe presence of the Moon in between the orbit of the Sun and Earththe presence of the Moon in between the orbit of the Sun and Earththe distance between the Sun and Earth changing throughout the yearthe distance between the Sun and Earth changing throughout the yearthe variation in the amount of sunlight received due to the tilt of Earths axis For the ones who speak and knows Spanish!!Answer my questions, please!! Solve for x.32-8=-6Enter your answer in the boxX= a uniform thin rod of length l and mass m is allowed to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position. a.) What is the speed of the center of gravity when the rod reaches its lowest position? b.) What is the tangential speed of the lowest point of the rod when the rod reaches its lowest position?