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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Answer:

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Based on the passage, what type of literature is beowulf? which of these lines from the poem describes beowulf?.

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Based on the passage, the lines from the poem describes beowulf is mighty and noble.

According to the question, we are to discuss the poem beowulf and the line that describes this poem.

As a result of this we can see that this poem Gredel which was evil moster was defeated by King of denmark and a beowulf.

Therefore, lines from the poem that describes beowulf is mighty and noble.

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Layla has a coin that has a 60\%60%60, percent chance of showing heads each time it is flipped. She is going to flip the coin 555 times. Let xxx represent the number of heads she gets. What is the probability that she gets more than 333 heads?.

Answers

The probability that she gets more than 3 heads is 0.3456.

There are only two possible outcomes for a fliped coin, either it is head, or it is tail. Since the result is independent of each other coins, the binomial distribution will be used.

Given the following parameters:  

x is the number of successes = 5 (coin flipped 5 times) n is the number of trials p is the probability of success on a single trial = 0.6

Using the binomial distribution formula:

[tex]P(X =x)=nC_x p^x (1-p)^{n-x}\\P(X =3) = 5C_3 \ (0.6)^3 (1-0.6)^{5-3}\\P(X =3) = 5C_3 \ (0.6)^3 (0.4)^{2}\\P(X=3)=0.3456[/tex]

Hence the probability that she gets more than 3 heads is 0.3456.

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Answer:

0.34 is the correct answer on khan

Explanation:

List the angles of ∆ abc from smallest to largest. Ab = 20, bc = 12, ca = 10.

Answers

The angle of the triangle ABC from smallest to largest are approximately 22°, 27° and 131°.

The sides of the triangle are as follows;

AB = 20

BC = 12

AC = 10

Let's find ∠A using cosine rule,

a² = b² + c² - 2bc cos A

cos A = b² + c² - a² / 2bc

Therefore,

cos A = 10² + 20² - 12²  / 2 × 10 × 20

cos A = 100 + 400 - 144 / 400

cos A = 356 / 400

cos A = 0.89

A = cos⁻¹ 0.89

A = 27.1267531173

∠A ≈ 27°

Using sine rule let's find ∠B

12 / sin 27 = 10 / sin B

cross multiply

12 sin B = 10 sin 27

sin B = 10 sin 27 / 12

sin B = 10 × 0.45399049974  / 12

sin B = 4.5399049974  / 12

B = sin⁻¹ 0.37832541645

B = 22.2299936087

∠B = 22°

Using sum of triangle theorem let's find ∠C

∠C = 180 - 27 - 22

∠C = 131°

The angles from smallest to largest are approximately 22°, 27° and 131°.

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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:

If $535 is invested at an interest rate of 6% per year and is compounded continuously, how much will the investment be worth in 10 years? use the continuous compound interest formula: a = pert $1307. 12 $974. 83 $973. 38 $403. 43.

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The Amount of investment equals $974.83.

The continuous compound interest helps to calculate an investment that are reinvested into the balance over a infinite number of periods.

The formula for continuous compound interest is A=P^e^(r*t)

Amount of investment = $535 * e^(6%*10)

Amount of investment = $535 * 1.82211880039

Amount of investment = $974.833558209

Amount of investment = $974.83

Therefore, the Option B is correct since the Amount of investment equals $974.83.

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Which item(s) will require a journal entry to update the balance in the cash account?.

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Examples of items requiring a journal entry as the result of the bank reconciliation include:

Bank service charges which are often shown on the last day of the bank statement. ...

Check printing charges.

Customer checks that were deposited but are now returned as NSF (not sufficient funds)

Bank fees for returned checks.

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Answer:

Hey mate!

Explanation:

Integrity refers to the protection of information from unauthorized modification or destruction. Ensuring integrity is ensuring that information and information systems are accurate, complete and uncorrupted.

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The most important factor to consider for a nurse when interpreting this client’s pain behavior is the client's cultural identity. This issue is fundamental for providing good healthcare services.

The client's cultural identity refers to the systems of beliefs and moral values of the society in which a patient (client) developed.

The client's cultural identity represents a fundamental aspect when providing healthcare services.

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First question answer is -26x + 17
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Answers

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Answer:

Dependency

Explanation:

Dependency is not included in the Big five Model

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Answer:

Answer is Chapter 3.

Explanation:

The chapter that would be the most helpful to someone planning a trip to Japan is  a chapter on the types of accommodations available.

What is the book about?

The book on the traveler’s guide to Japan is known to be a book that talks about the planning of a trip to Japan and everything to know about it.

Note that by adding a chapter on the types of accommodations available in Japan, one can be able to known what kind of accommodations  use if one is planning a trip to that country.

See full question

If added to "The Traveler’s Guide to Japan,” which chapter would be the most helpful to someone planning a trip to Japan?

a chapter on the Japanese educational system

a chapter on the governing bodies in Japan

a chapter on the cultural influences of China

a chapter on the types of accommodations available

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Answer:

Education empowers a person by creating more employment opportunities, securing a higher income, developing problem-solving skills, and by providing a a prosperous happy life.

Explanation:

Education empowers a person by opening doors to the job market, combating inequality, fostering solidarity, and promoting environmental stewardship. Education empowers people with the knowledge, skills and values they need to thrive and build a better world.

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Answer:

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Answer:

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Explanation:

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Based on the information given, it should be noted that the wet-bulb temperature will be 16°C.

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From the complete information, when the dewpoint is 15°c, the wet-bulb temperature on a sling psychrometer if the dry-bulb temperature is 18°c is 16°C.

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Answer:

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Explanation:

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The way the given speech could be captioned is that; We’re going to go to Paris in a few days, then we’re off to Venice.

From the given speech of the speaker, we can see that it is a direct speech as the exact words he used and the other words are all quoted in inverted commas.

Whereas, In indirect speech, the exact words used by the speaker are not quoted.

The best way to caption the speech is that the inverted commas will removed as well as well as the conjunction used and we will make it an indirect speech as follows;

We’re going to go to Paris in a few days, then we’re off to Venice.

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This answer is in here can you please give me the brainiest question. Look at the picture for the answer

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What character? there's no pic of the context ur asking for

Read the writers original draft of this sentence from paragraph 4.

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Answer:

Can you please post a picture for the sentence??

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There are different kinds of potential insider threat indicators. The option that is not considered a potential insider threat indicator is New interest in learning another language

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RecruitmentInformation collectionInformation transmittal General suspicious behavior

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Which of the following statements correctly explains the tectonic plate activity on the west coast of the united states?.

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The statement which correctly explains the effect of tectonic plate activity on the west coast of the United States of America is that: Earthquakes occur at the San Andreas Fault when stored energy is released from locked plates.

A tectonic plate is also known as lithospheric plate and it can be defined as an enormous, solid, irregularly shaped rock slab, that is made up of two (2) main plates:

Oceanic platesContinental plates

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The statement which states that according to the University of Michigan studies, leaders who are production oriented are described as emphasizing interpersonal relationships and as taking a personal interest in the needs of their followers is FALSE.

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With this in mind, we can see that the above statement about the research which was made in the University of Michigan is FALSE because production oriented leaders are not described as emphasizing interpersonal relationships.

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According to the graph, approximately how much of the us population used the internet in 2006? less than 20% about 40% about 70% more than 80%.

Answers

Answer:70%

Explanation:

C

“Finding information” tops the list of the most common reasons individuals use the internet, with nearly six in ten (58.4%) people globally citing it as such. Keeping in touch with friends and family comes in second place with 54.2 percent. Thus, option C is correct.

What US population used the internet in 2006?

Despite these advancements, the Report determines that 19 million Americans, or 6% of the population, still do not have access to fixed broadband service at threshold speeds. 14.5 million individuals, or close to one-fourth of the population, do not have access to this service in rural areas.

In America as a whole, 42% of adults had access to high-speed internet at home as of March 2006. Thirty percent of all adults accessed high-speed internet at home in March 2005. A rise in internet penetration from 66% to 73% over the previous year has contributed to this development in broadband adoption.

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