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?.
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 offSince 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') = 0Similarly, we are given that:
P(A and B') = 0.25Then;
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
Learn more about the probability of an event here:
https://brainly.com/question/25839839
Read this sentence and select the dependent clause.
Answer:
Where is the sentence? As soon as you post the picture I will write the answer in the comments.
Which of the following statements about the nitrogen cycle is true?.
Answer:
none, I am not very sure.
but I was eager and happy to help.
not an expert, I must say.
Oil refining is an example of:
Construction Production
Extractive Production
Domestic Production
Traditional Production
Visit the web site for a well-known company, and find the section that states its mission. What is the company's mission? how does the mission relate to the type of products the company sells? did anything surprise you about the mission? why or why not? tip: if the company's web site doesn't describe its mission, choose a different company.
Considering this question, the website visited is Walmart. Walmart's corporate mission is “to save people money so they can live better."
Walmart's mission relates to the type of products the company sells because they offer plentiful commodities at everyday low prices to customers.
The mission statement does not surprise me about the company because it matches its operation as they claimed.
Hence, in this case, it is concluded that a mission statement is a great way to understand a company better.
Learn more about the mission statement here: https://brainly.com/question/24938435
The sum of 5. 75 and half a number is −5. What is the number? enter your answer as a decimal in the box.
Answer:
21.14
Explanation:
Let the unknown number be y.
Framing the question mathematically,
5.75 + y/2 = -5
y/2 = -5 -5.75
y/2 = -10.57
y = -10.57 × 2
y = 21.14
Hope it helps :)
how does douglass appeal to the audience’s sense of logic in the excerpt? by using his own personal experiences to gain their trust by recounting emotional events to evoke sadness by explaining the reasoning behind his argument by describing how he plans to effect change in the us
Answer:
B
Explanation:
I got it right on test
Answer:
B. by recounting emotional events to evoke sadness
Explanation:
edge 2022
An astronaut in the space station appears weightless because the astronaut seems to float. Which of the following claims is true about the force exerted on the astronaut by earth?.
Answer:
The force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.
Explanation:
The claim that is true about the force exerted on the astronaut by the earth is equal to the force exerted on Earth by the astronaut. The correct option is D.
Who is an astronaut?An astronaut is a scientist who studies the bodies outside the earth. The galaxies, planets, and other astronomical units.
Newton's third rule of motion states that there is always an equal and opposite response to every action in nature. For example, if a first item exerts a specific amount of force on a second object, the second object will do the same but in the opposite direction.
As a result, the gravitational pull that Earth has on the astronaut is equivalent to the pull that the astronaut has on Earth.
Therefore, the correct option is D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut.
To learn more about astronauts, refer to the link:
https://brainly.com/question/19227789
#SPJ2
The question is incomplete. Your most probably complete question is given below:
A) there is no force exerted on the astronaut by Earth because the astronaut is 400km above Earth’s surface
B) the force exerted on the astronaut by Earth is less than the force exerted by the astronaut because the astronaut is 400km above Earths surface
C) the force exerted on the astronaut by Earth is equal to the gravitational force of the space station that is exerted on the astronaut; the two equal forces balance to cause the astronaut to float.
D) the force exerted on the astronaut by Earth is equal to the force exerted on Earth by the astronaut
What do local governments do?
Answer:
Local government is responsible for a range of vital services for people and businesses in defined areas. Among them are well known functions such as social care, schools, housing and planning and waste collection, but also lesser known ones such as licensing, business support, registrar services and pest control.
What is the minimum hot holding temperature requirement for macaroni and cheese.
Answer:
165 - 180°F
Explanation:
For macaroni and cheese, a minimum hot holding temperature of 165° to 180° Fahrenheit (F) for 15 seconds is required.
What is the required minimum holding temperature for mac cheese?"Macaroni and Cheese and Premium Macaroni and Cheese" are already cooked and only need to be warmed to 165°F before serving and kept warm.
This can be done by:
1. Boiling them in a bag
2. Heating them on the stove
3. Heating them in the microwave
Check the link below to learn more about Mac-cheese temperatures;
https://brainly.com/question/12883435
#SPJ2
Which chart places the elements of plot in the correct order? chart a chart b chart c chart d.
Plots are made up of elements. Chart C is the chart that places the elements of plot in the correct order (See image attached)
What is a Plot.A Plot is known to be a pattern or movement of events in a story. In this story, the main character undergoes different challenging task that makes a character to choose difficult choices.
It is also described as the way an author produces and organizes a series of events in a specific narrative. It is commonly called the foundation of a story.
The elements includes:
Exposition and introduction Rising action Climax Falling action Resolution
Learn more about Plots from
https://brainly.com/question/1909141
Answer:
the answer is chart C exposition - rising action - climax - falling action - resolution
Explanation:
A carpet installer charges a flat rate of $40, plus $1. 50 per square foot for labor. So, the total cost for labor depends on the amount of carpet installed. The relationship between the total cost for labor and the amount of carpet installed is. The domain of the relation is x ≥. The range of the relation is y ≥.
Answer:https://brainly.com/question/15166545
Explanation:
We all use memory in the same way.
Answer:
faccccttssss
Explanation:
Hope this helps! Pls give brainliest! Also, plz sub to kgirl633 on yt.
Please select the word from the list that best fits the definition the considerable power that the police have to decide who is actually arrested.
Answer:
The answer is Police discretion!
Explanation:
Correct on Edge!! :)
Police discretion is the word which is used to decide who is actually arrested.
What is police discretion?
The police discretion definition refers to the freedom of police officers to make decisions as they perform their official duties. There are many instances throughout a police officer's day-to-day work where they can decide how to respond to a situation using their own best judgement and wisdom rather than a strict law.
Officer discretion is a useful and necessary part of an officer's ability to do their job, as police officers must often make quick, in-the-moment decisions that cannot wait for specific laws to be consulted or reviewed.
Police discretion examples include an officer's decision whether or not to draw their weapon, to make an arrest, to issue a traffic ticket, to perform a search on a suspect, or to stop and assist someone in need of help.
Therefore, Police discretion is the word which is used to decide who is actually arrested.
To learn more about Police discretion , refer to the link:
https://brainly.com/question/19866496
#SPJ5
Which part of the metamorphosis contributes the most tension toward the climax.
Answer:
gregors father throws an apple at gregor, and it gets stuck in his back.
Explanation:
a p e x
Pure water boils at 100°c. What happens to the water particles when water boils?.
Answer:
When boiling occurs, the more energetic molecules change to a gas, spread out, and form bubbles. These rise to the surface and enter the atmosphere. ... Therefore the temperature of the liquid remains constant during boiling. For example, water will remain at 100ºC (at a pressure of 1 atm or 101.3 kPa) while boiling.
Explanation:
not too sure tho
Answer:
When boiling occurs, the more energetic molecules change to a gas, spread out, and form bubbles.
Explanation:
they gain energy and move further apart
What is the effect of the use of the word ""enough"" in this quotation? it shows the speaker’s insecurity about love. It emphasizes the speaker’s desperation. It reveals the speaker’s profound emotion toward her love. It creates an ironic tone that continues in the rest of the poem.
The effect of the word "enough" in this quotatios is:
It reveals the speaker’s profound emotion toward her love.The quotation of the poem written by Emily Dickinson is the following:
That I did always love
I bring thee Proof
That till I loved
I never lived—Enough
The correct answer is that the word "enough" reveals the speaker's profound emotion toward her love because the author is saying that until she loved, she did not live, because loving is living.
Check more informaion about Emily Dickinson here https://brainly.com/question/2689684?referrer=searchResults
Answer: c
Explanation:
Which of the following impacts the heat level of a pepper?
Answer:Capsaicin.
Explanation:
The three greater than signs (>>>) are called the python.
Answer:
The three greater-than signs ->>>- are called the prompt
Explanation:
:)
The three greater than signs (>>>) do not exist in Python
How to determine the name of the signFrom the question, we have the following parameters that can be used in our computation:
Sign = >>>
The above sign do not exist in the python syntax and as such it has no meaning
This means that, the three greater than signs (>>>) do not exist in the python language
Read more about python language at
https://brainly.com/question/30113981
#SPJ2
A student places a set of books with a force of 25 n on a lab table with a force of 150 n. What is the normal force pushing upward on the legs of the table?.
The normal force acting on the legs of the table is 175 N
The weight of the books is the force exerted by the books on the table, and it is given as:
[tex]W =25N[/tex]
The force exerted by the table is given as:
[tex]F = 150N[/tex]
The parameters above imply that:
The table and the books are stationary,The force exerted by both act in the same downward direction.So, the normal force acting on the legs of the table is calculated as follows:
[tex]F_N =F +W[/tex]
Substitute known values
[tex]F_N = 150N + 25N[/tex]
[tex]F_N = 175N[/tex]
Hence, the normal force acting on the legs of the table is 175 N
Read more about normal force at:
https://brainly.com/question/10941832
The universal gas law, pv = nrt, describes the relationship among the pressure, volume, and temperature of a gas. P = pressure v = volume t = temperature (kelvin) n = number of moles (quantity of gas particles) r = universal gas constant at a constant temperature of 1 k, the pressure and volume of 1 mole of gas vary inversely. P = startfraction uppercase r over uppercase v endfraction use the values in the table to find the value of r. Es001-1. Jpg r =.
Answer:
8.31
Explanation:
just did it on edge 2021
Answer:
R= 8.31
Explanation:
What is the first step in solving the equation 3. 5 n + 6. 4 = 42. 5? add 6. 4 to each side of the equation. Subtract 6. 4 from each side of the equation. Multiply each side of the equation by 3. 5. Divide each side of the equation by 6. 4.
Answer:
3.5n+6.4=42.5
-6.4=-6.4
3.5n=36.1
————— (divide)
3.5=3.5
n=36.1/3.5 or 10.314
Explanation:
I'm confused by the question... is the question what is the first step of solving this equation?? and if it is, your answer is correct. which is subtract 6.4 for both sides.
Which about mama does the author show in this passage from everyday use.
People often have different opinions or views. Which about mama that the author show in this passage from everyday use is that Mama is ordinary and Humble.
This passage depicts mama to be a very strong woman, who lives an ordinary life, humble in nature and still what she the advantages of her body shape and type.
She believes that been big is aa plus to her as this will gives her strength It also helps us to know that she is just as ordinary woman who is capable of completing difficult tasks.
See full question below
Which about Mama does the author show in this passage from "Everyday Use?
" In real life I am a large, big–boned woman with rough, man–working hands. In the winter I wear flannel nightgowns to bed and overalls during the day. I can kill and clean a hog as mercilessly as a man. My fat keeps me hot in zero weather."
Learn more about this passage from
https://brainly.com/question/5598886
Arrange the tiles to show the sequence of events in the development of the theory of evolution.
According to the principle of natural selection, organisms breed more young than they can withstand in their surroundings.
What is Theory of Evolution?Those who are more physically capable of surviving, maturing, and reproducing. On the other hand, those who lack this fitness either do not live long enough to reproduce or have fewer children than their counterparts.
Because the "fittest" organisms—those most adapted to their environment—are the ones that reproduce most successfully and are most likely to pass on their qualities to the next generation, natural selection is sometimes summed up as "survival of the fittest."
This means that if an environment changes, qualities that help people survive in it will eventually adapt, or develop. Natural selection was a potent force.
Therefore, According to the principle of natural selection, organisms breed more young than they can withstand in their surroundings.
To learn more about Evolution, refer to the link:
https://brainly.com/question/13492988
#SPJ7
a student is standing 20 feet away from the base of a tree
What is potentially problematic about an advertisement with this message.
Answer:
what is the message? I don't see a pictures
A country that is concerned about inflation wants to:.
Answer:
Prevent its currency from losing value too quickly.
Explanation:
The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of battery is approximately normal with mean 2. 5 hours and standard deviation 0. 25 hour. Suppose one battery will be selected at random. Which of the following is closest to the probability that the selected battery will have a life span of at most 2. 1 hours?.
The probability that the selected battery will have a life span of at most 2.1 hours is 5.48%.
z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean,\sigma\ is\ standard \ deviation[/tex]
Given that μ = 2.5, σ = 0.25.
For x < 2.1:
[tex]z=\frac{2.1-2.5}{0.25}=-1.6[/tex]
From the normal distribution table, P(x ≤ 2.1) = P(z < -1.6) = 0.0548 = 5.48%
The probability that the selected battery will have a life span of at most 2.1 hours is 5.48%.
Find out more on z score at: https://brainly.com/question/25638875
A researcher wants to conduct a study to see if playing chess improves memory. The researcher finds 50 individuals who play chess regularly and 50 that do not. Each of the 100 individuals are given a questionnaire designed to determine memory level. If the 100 individuals did not know they were participating in the study, which statement about the study is correct?.
Answer:
This is an observational study
Explanation:
just took the test
Which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68.
The values of a, b, and c from the table are 34, 18, and 68 respectively.
From the given table, the following equations are true;
number of subscribers above $25000 + number of those not subscribing above $25000 = 47Set theorySubstituting the values:
a + 13 = 47
a = 47 - 13
a = 34
Similarly;
b + 55 = 73
b = 73 - 55
b = 18
Also, c = 13 + 55
c = 68
Hence the values of a, b, and c from the table are 34, 18, and 68 respectively.
Missing part of the question
A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.
Learn more on Venn diagrams here: https://brainly.com/question/2054443