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

what does it mean to accurately and effectively communicate

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Effective communication is about more than just exchanging information. It's about understanding the emotion and intentions behind the information. ... For many of us, communicating more clearly and effectively requires learning some important skills.

Accuracy in communication encompasses how well communicators create verbal and nonverbal messages that are understood by others and how well those messages are recognized, comprehended, recalled, and interpreted.

In the first paragraph of the passage on pages 2 and 3.

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Hi, was there supposed to be a picture? And if you still need help just contact me

Reference page 4 of hp’s 2014 annual report. What aspect of organizational design is suggested in the ""separation"" section?.

Answers

Organizational design has to do with the various steps which are taken in order to achieve the aims and objectives of an organization.

With this in mind, we can see that this organizational design has different elements which includes:

Allocation of tasksCoordinationSupervisionStructural ans System analysis, etc.

Furthermore, the most common approaches to the organizational design includes:

SimpleFunctionalDivisionalMatrix, etc

Please note that your question is incomplete so I gave you a general overview so that you could get a better understanding of the concept.

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which statement correctly describe one similarity between cellular respiration and photosynthesis?

Answers

Answer:

Cellular respiration and photosynthesis both have water and carbon dioxide in the reactions

When faxing sensitive compartmented information.

Answers

In Cybersecurity, when faxing a sensitive compartmented information (SCI), the actions you should take include:

1. Mark the sensitive compartmented information (SCI) documents appropriately.

2. Use an approved sensitive compartmented information (SCI) fax machine.

A sensitive compartmented information (SCI) can be defined as a United States program that was established to segregate classified information concerning or derived from methods, analytical processes and intelligence sources, into distinctive compartments for added protection when disseminated or distributed.

Generally, the dissemination of information of all sensitive compartmented information (SCI) documents must be handled within formal access control systems and directives of the Director of National Intelligence.

Based on national intelligence, when faxing a sensitive compartmented information (SCI), the actions you should take include:

Mark the sensitive compartmented information (SCI) documents appropriately.Use an approved sensitive compartmented information (SCI) fax machine.

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What must a scientist do in order to develop a testable hypothesis brainly.

Answers

Answer: The correct answer is D. Ask a question that can be answered by making observations.

Explanation:

Basically, in order to develop a testable hypothesis, scientists must adhere to the guidelines of the scientific method.

The scientific method is usually understood to be a so-called hypothetical-deductive method, the core of which is to make hypotheses based on observations or measurements, to make predictions based on them and to check the validity of predictions by repeated experiments. More generally, the scientific method is a general way of obtaining solid knowledge, using many means of proof, both empirical and theoretical, to achieve certainty. The scientific method is a widely recognized tool in the scientific community for seeking objectivity, reliability and transparency in research.

How can you protect yourself from internet hoaxes cyber awareness 2022.

Answers

There are a lot of fraudulent activates on online and it is very important to guide against them. There are strategies and online resources to help you identify and respond to a potential hoax.

First Identify that it is a hoax, Note that Hoaxes often booms where they are spread quickly and without consideration. If you notice or come in contact with a hoax through social media, the right thing to do thing to do is wait. The police or the school one is attending should issue a warning on the story.

Hoaxes are very common in the internet. Even with the recent digital technology, social media etc, a lot of spread of misinformation is now been spread at a faster and broader rate.

It is important that we as individuals, Parents and teachers be aware of the possibility that there may be shocking news about children and to known that the internet could be a hoax.  

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Which of these contributed the most to the florida land boom.

Answers

Answer:

Florida land boom which was in the year 1920 was termed as the first real estate bubble which was in the Florida.

This bubble busted which left back remains of failed development projects and new cities for example, Aladdin city which is in the southern part of Miami-dade country and Miami Isola di Lolando.

The result of Florida's land boom created many cities out of Everglades and shaped Florida for many years.

During that time of land boom the prices on speculation were raised and development and land boom ensued.

Explanation:

Answer:

It is B they were able to travel to Florida for the land

Explanation:

Which would be the best label for the circle in the center.

Answers

Answer:

Is there a picture that comes with this?

In your response, be sure to address all parts of the question. Use complete sentences; an outline or bulleted list alone is not acceptable. Use the passage to answer all parts of the question that follows. A) describe the broader historical situation in africa at the time that jean barbot wrote his book. B) explain one way in which the passage illustrates the continuing development of the atlantic in the seventeenth century. C) explain one way in which barbot’s background might have influenced his comments about the dutch and the portuguese in the second paragraph.

Answers

The broader historical situation in Africa at the time that Jean Barbot wrote his book was that it showed the colonization of Africa by European countries.

It should be noted that a way that the passage illustrated the continuing development of the Atlantic in the seventeenth century is that it showed that the development was continuous.

Lastly, the way in which Barbot’s background might have influenced his comments about the Dutch and the Portuguese was due to the Protestant link he shared with the Dutch. Therefore, he speaks well of the Dutch and speaks ill of the Portuguese.

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The mother of a 5-year-old informs you that her daughter cheats when playing board games. What is the best response?.

Answers

Answer: Explain that this is developmentally normal until the child is old enough tounderstand complex game rules.

Explanation:

Drag each label to the correct location on the map. Match the western nations to their colonies. United states france great britain the netherlands.

Answers

Answer:

The United States has the Phillipines.

France had the south to china portion.

Britain has India

The Netherlands had Indonesia

Explanation:

1. United States of America: the Philippines was its colony in Southeast Asia.

2. France: the south of China was its colony in Southeast Asia.

3. Great Britain: Burma and the Malay Peninsula were its colonies in Southeast Asia.

4. The Netherlands: the Indonesian archipelago was its colony in Southeast Asia.

Imperialism can be defined as a policy or ideology (advocacy) that sought to extend a country's power, dominion, authority and influence over another country, either through the use of military force, diplomacy, or colonization (direct territorial acquisition).

This ultimately implies that, imperialism is an ideology or policy that is typically used to impose and extend a country's power, dominion, authority and influence over another country.

Note: The map in the image attached below shows the various colonies owned by different Western nations (imperialists) in 1910.

During the 19th century (1910), the following Western nations (imperialists) had these colonies in Southeast Asia:

United States of America: the Philippines was its colony in Southeast Asia.

France: the south of China was its colony in Southeast Asia and they included Annam, Cambodia, Tongkin, Saigon, and Laos.

Great Britain: Burma and the Malay Peninsula were its colonies in Southeast Asia.

The Netherlands: the Indonesian archipelago was its colony in Southeast Asia.

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Three hunters are walking single file. Which of the following would be safe?.

Answers

There are different steps to follow in ensuring safety with firearms. The safer step to follow is that the hunter in the front uses the elbow carry.

When hunting, If three hunters are walking single file, it is better for the hunter in the front should have the gun facing ahead but he or she should never carry it over the shoulder.

The Hunter in the middle must also have the gun facing sideways while the last one who is at the rear should face or point the gun to any side or the rear be it left or right.

See full question below

Three hunters are walking single file. Which of the following would be safe?

A. The hunter in the center uses the elbow carry.

B. The hunter in front uses the elbow carry.

C. All three hunters use the trail carry.

D. All three hunters use the shoulder carry.

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Read the following paragraph and identify the best sentence to start a new paragraph weegy.

Answers

Where is the paragraph you are asking in the question?

Jason is studying a new plant food for a science experiment. The plant is 14 cm tall when the experiment begins and grows at a rate of 1. 5 cm per week. What will the height of the plant be after 5 weeks?.

Answers

Answer:

2

Explanation:

Because if you add 1  to 8 you get 9 then subtract 9 by 7 then and your answer is 2

Which characteristics describe most nonmetals in the solid phase.

Answers

Solid nonmetals are generally brittle, with little or no metallic luster. Most nonmetals have the ability to gain electrons easily. Nonmetals display a wide range of chemical properties and reactivities.

Determine whether or not the vector field is conservative. If it is conservative, find a function f such that f = ∇f. (if the vector field is not conservative, enter dne. ) f(x, y, z) = i + sin(z)j + y cos(z)k.

Answers

If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means

∂f/∂x = 1

∂f/∂y = sin(z)

∂f/∂z = y cos(z)

Integrating each each of these equations gives

∫ ∂f/∂x dx = ∫ dx   ⇒   f(x, y, z) = x + α(y, z)

∫ ∂f/∂y dy = ∫ sin(z) dy   ⇒   f(x, y, z) = y sin(z) + β(x, z)

∫ ∂f/∂z dx = ∫ y cos(z) dz   ⇒   f(x, y, z) = y sin(z) + γ(x, y)

It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So

f(x, y, z) = x + y sin(z) + C

and F is indeed conservative.

Decide if por or para should be used in the following sentence. Ella es muy extrovertida _____ una chica tímida. Por para.

Answers

The correct option is Ella es muy extrovertida para una chica tímida.

Por and para are two Spanish prepositions, but they are used differently.

When to use por?

We use por when we talk about

Why something happened To mention who did something. For example, la comida fue hecha por el John.

When do we use para?

We use para when:

We want to talk about the what.We are using adjectives to talk about someone or something and making comparisons.

In conclusion, as the sentence is talking about the characteristics of a girl and making a comparison, the correct word is para.

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Answer:

para

Explanation:

Choose the correct option from the following:the criminal had a very…………scar on his face eng101.

Answers

Answer:

large

Explanation:

necause scars are always large

When faxing sensitive compartmented information (sci), what actions should you take?.

Answers

When faxing sensitive compartmented information (sci), the actions you should take are;

Make sure the SCI's are encrypted.Only those with the necessary security clearance will have the decryption keys to unlock them.

Sensitive Compartmented Information(SCI) is a classified information that is derived from sensitive intelligence sources, methods, or analytical processes.

SCI is always required to be handled within formal access control systems that are established by the US Director of Central Intelligence.

SCI's are usually very sensitive information as most of them contain information of national security interest and as such should be kept hidden and only open to those meant to read it.

Thus, when SCI's are to be faxed, the action to be taken is that they should be encrypted in such a way that only those with the necessary security clearance will have the decryption keys to unlock them.

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The placard pictured was issued in response to the.

Answers

The placard attached below was drawn up and issued in response to the refugees created by the Nat Turner rebellion.

In 1831:

Enslaved Black people launched a rebellion to escape slavery. Nat Turner led the rebellion. More than 51 White people were killed in the rebellion.

As a result of this rebellion, a lot of Black people in the South were attacked by Whites and this created a refugee crisis as Black people fled. This placard was to help the refugees who had fled to Boston.

In conclusion, the placard was issued as a result of the Nat Turner rebellion.

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Which of the following is a similarity between goods and services.

Answers

Answer:

I need only 5 brainlisted please give me

Expressed as a percentage, how many more avocados does the city of phoenix consume per year compared to denver? annual avocado consumption by city (in millions).

Answers

Based on the quantity of avocados consumed by both cities, the answer to this would be 60% more.

Phoenix consumes 120 million avocados and Denver consumes 75 million.

Phoenix Percentage consumption over Denver

First find the difference between the avocados consumed:

= 120 - 75

= 45 million

In percentage this is:

= Quantity difference / Denver consumption x 100%

= 45 / 75 x 100%

= 60%

In conclusion, Phoenix consumes 60% more.

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The release train engineer is a servant leader who displays which two actions or behaviors? (choose two. ).

Answers

The release train engineer is a servant leader who displays two actions or

behaviors which are:

Listen and supports teams in problem identification and decision-makingLeads by example

The release train engineer  is a servant leader which ensures facilitation

and continuous development of program level processes. This is done by

listening, supporting in decision making and identification of problems

related to the field.

He/she also acts as a coach and reference point for Agile Release Train

(ART) and does it by leading by example.

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A theory which repeatedly fails to confirm the expected predictions after extensive research:.

Answers

A theory which repeatedly fails to confirm the expected predictions after extensive research is probably incorrect.

Answer:

..Is probably incorrect.

Explanation:

If the predictions of a long-standing theory are found to be in disagreement with new experimental results, the theory may be discarded as a correct description of the phenomena.

Hope that helps..? x

Which phrase best describes the harlem renaissance?.

Answers

Answer:

The Harlem Renaissance was an intellectual and cultural revival of African American music, dance, art, fashion, literature, theater and politics centered in Harlem, Manhattan, New York City, spanning the 1920s and 1930s.

I hope this helps you !!

akao wrote an opinion piece about why he thinks sandwiches are the perfect food. Read the first body paragraph.

Sandwiches make healthy food taste good. You can choose a soft whole grain bread as a base. Then you can add a lean meat or some other protein, like hummus. Finally, some lettuce or other greens will give it a nice, healthy crunch.

Which sentence states the reason for Takao’s opinion?
A. "Sandwiches can be tasty and healthy too."
B. "You can choose a soft whole grain bread as a base."
C. "Then you can add a lean meat or some other protein, like hummus.
D. "Finally, some lettuce or other greens will give it a nice, healthy crunch."

Answers

Answer:

A

Not confident about this answer, so sorry if it is wrong

Explanation:

I think it is a because

It is the topic sentence

The sentence is also the only sentence to entirely be an opinion

The rest of the paragraph is talking about what you can put on it to make it taste good and be healthy

Which river is represented by the red line on this map?.

Answers

Answer:

Where is the map? I can not answer

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

All of the following changes to a metal are physical changes except.

Answers

Answer:

A. Cutting

B. Melting

C. Rusting

D.Polishing

Answer: Rusting

Explanation:

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