The probability that all three of the selected homes have a security system is approximately 7.95%.
To find the probability that all three selected homes have a security system, we need to use the multiplication rule for independent events. Since each home is selected at random, the selection of one home does not affect the selection of the other homes.
The probability that the first home selected has a security system is 7/12.
The probability that the second home selected also has a security system is 6/11 (since there are now only 6 homes with security systems left out of the remaining 11 homes).
The probability that the third home selected also has a security system is 5/10 (since there are now only 5 homes with security systems left out of the remaining 10 homes).
Using the multiplication rule, we multiply these probabilities together to get the overall probability that all three selected homes have a security system:
P(all 3 homes have security systems) = (7/12) x (6/11) x (5/10)
P(all 3 homes have security systems) = 0.0795 or 7.95%
Therefore, the probability that all three of the selected homes have a security system is approximately 7.95%.
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The volume of a right cone is 4487 units³. If its height is 21 units, find its radius.
Answer:
Step-by-step explanation:
V=(1/3)hπr^2
<=> 4487 = 1/3x21πxr^2
<=> r^2 = 641/π
<=> r = squrt( 641/π)
PLS HELP WILL MARK BRAINLIEST
Answer:
umm hi and plz can i be brainlist i'm new
Step-by-step explanation:
Identify the following as either a Permutation or a combination. Then calculate the answer. a) Sara is setting a new code for her garage. The key pad has the numbers 0-9 to choose from, and she needs to set a 4-digit passcode. How many different codes can she possibly set if no digit is going to be repeated? a. Combination b. Permutation _________passcodes.
a. It is b. Permutation
b. Using permutation, the number of different codes is 3024 passcodes.
What is permutation and combination?Permutation is the total number of ways of arranging n different objects in x ways ⁿPₓ = n!/(n - x)! while combination is the total number of ways of selecting n objects x at a time ⁿCₓ = n!/x!(n - x)!
a. Since Sara is setting a new code for her garage. The key pad has the numbers 0-9 to choose from, and she needs to set a 4-digit passcode. Since no digit is to be repeated, it is a permutation since in permutation, we are looking for differnt arrangemnets of the objects.
So, it is b. Permuation
b. Since Sara the key pad has the numbers 0-9 to choose from, and she needs to set a 4-digit passcode and no digit is to be repeated. We have 9 digits permuted or arranged in 4 ways. So, our permutation is ⁹P₄ = 9 × 8 × 7 × 6
= 3024 passcodes
So, the number of different codes is 3024 passcodes.
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b. suppose that predictive value of a positive test of greater than 0.5 is deemed acceptable. under this criterion, what subpopulations should receive the test.
The subpopulations that should receive the test are those with the highest incidence of the condition or disease being tested for, as well as those with a high probability of the condition.
This is because predictive value of a positive test is greater in these subpopulations.
Predictive tests are genetic tests that identify mutations associated with disease or other health conditions that have not yet emerged. They are available for a variety of diseases and conditions, including some types of cancer, heart disease, and dementia.
Predictive testing is used to help people understand their chances of developing a disease and make informed decisions about their health care.
For example, it may help them decide whether to undergo surgery or other preventive measures to reduce their risk.
Predictive testing may be performed for a variety of reasons, including personal curiosity, to inform reproductive decisions, to clarify diagnosis, and to guide treatment choices. Because the results of predictive tests can have significant implications for individuals and their families, the decision to undergo testing should be carefully considered and discussed with a healthcare provider.
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HELP ASAP
The table shows input and output values of a function given a rule. Which function
represents the rule?
Input: x, a number; Output: y, 3 less than 2 times x
Input, x: -2 -1 0 1 2
Output, y: -7 -5 -3 -1 1
y=2x+3
y=2x-3
y=-3x+2
y=2x
Answer:I think its A.
Step-by-step explanation:
I'm too lazy too explain you got your answer please be happy
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
To find the z-score for a sales associate who earns $37,500, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to convert to a z-score (in this case, $37,500),
μ is the mean of the distribution (in this case, $32,500), and
σ is the standard deviation of the distribution (in this case, $2,500).
Substituting the given values into the formula, we have:
z = (37,500 - 32,500) / 2,500
z = 5,000 / 2,500
z = 2
Therefore, the z-score for a sales associate who earns $37,500 is 2.
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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.
Explanation:The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.
We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:
Z = (Value - Mean) / Standard Deviation
So, the z-score for an associate earning $37,500 would be:
Z = ($37,500 - $32,500) / $2,500
This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.
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Plz Help! A B C or D
Answer:
B
Step-by-step explanation:
go download symbolab and enter the quenstion it wil give you many help!
can someone help i dont understand this
p(n)=2n; find p(-1)
The solution for p(-2) in the function when the function p(n) = 2n is -2
How to determine the solution for p(-1) in the function?From the question, we have the following equation that can be used in our computation:
p(n)=2n
To make the equation legible, we need to rewrite it
So, we have the following representation
p(n) = 2n
Also from the question, we have
p(-1)
This means that the value of n is -1, and we calculate p(n) when n = -1
Substitute the known values in the above equation, so, we have the following representation
p(-1) = 2 * -1
So, we have the following equation
p(-1) = 2 * -1
There is no constant to add or subtract to both sides of the equation
So, we have the following representation
p(-1) = -2
Hence, the solution is -2
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19) The function C(x) = 25x+75 represents the labor cost (in dollars) for Bob's Auto Repair to replace
your alternator, where x is the number of hours. The table below shows sample labor costs from its main
competitor, Budget Auto Repair. The alternator is estimated to take 5 hours of labor. Which company
would you hire? Explain.
Hours 1,2,3
Cost
$90 $130 $170
we can see that the function C(x) = 25x + 75 represents the labor cost (in dollars) for Bob's Auto Repair to replace your alternator, where x is the number of hours. We can use this function to find the cost of replacing an alternator that is estimated to take 5 hours of labor.
C(5) = 25(5) + 75 = 125 + 75 = 200
We also have the labor cost for the main competitor, Budget Auto Repair, in a table format.
Hours Cost
1 $90
2 $130
3 $170
We can see that the cost of labor increases as the number of hours increases. From the information provided it's hard to say which company would be cheaper to hire, however the company with the function C(x) = 25x + 75 would be cheaper if the alternator takes more than 4 hours of labor, otherwise Budget Auto Repair would be cheaper.
It's important to check the warranty, prices of parts, and reputation of both companies. If a company has a good reputation and a good warranty, it may be worth paying a little more for labor.
It's also a good idea to get a second opinion or ask for a quote from both companies before making a decision.
In conclusion, it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.
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Help me with this please
Answer:
I believe its 990
Step-by-step explanation:
you would multiply 9 times 10 times 11 and it equals 990
Answer:
Step-by-step explanation:
This is a parallelogram
base = 11 in
Height = 9 in
Area of parallelogram = base * height
= 11 * 9
= 99 square inches
Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
Bob is quite proud of the 600-square-foot garage he’s included in his new home. According to national standards, how can he include the garage square footage in his total?
The method for including the garage square footage in the total depends on national standards, with some including it in the total and others excluding it.
When including the garage square footage in the total square footage of a home, there are different ways to do it depending on the national standards used.
Generally speaking, there are two main methods:
Including the garage in the total square footage, or excluding the garage from the total square footage.
If the garage is included in the total square footage, then Bob would add the square footage of the garage (600 square feet) to the square footage of the living spaces in the home (e.g., bedrooms, bathrooms, kitchen, living room, etc.).
This would give him the total square footage of the home, including the garage.
This method is commonly used in some areas of the United States.
On the other hand, if the garage is excluded from the total square footage, then Bob would only count the square footage of the living spaces in the home.
This method is commonly used in other areas of the United States, as well as in other countries.
It is important to note that the method used to calculate the total square footage can affect the perceived value of the home, as well as the taxes and insurance premiums associated with it.
Therefore, it is important for Bob to consult with a local real estate professional or appraiser to determine the most appropriate method for his area.
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PLEASE ANSWER THIS ASAP
Answer:
8,5
Step-by-step explanation:
5*8-2y=30
40-30=2y
10=2y
y=10/2
y=5
Answer: The answer is 5!
What is the addition and subtraction rule with significant figures? Please give some specific examples.
When adding or subtracting numbers with significant figures, the result should be rounded to the least precise decimal place of the measurements involved.
How do you round the result when adding or subtracting significant figures?When performing addition or subtraction operations with numbers that have different levels of precision, it is important to ensure that the result is reported with the appropriate number of significant figures.
The rule states that the result should be rounded to the least precise decimal place among the measurements involved in the calculation.
For example, consider the addition of 53.5 and 46.5. Both numbers have one decimal place, so the sum should also be reported with one decimal place.
Adding the numbers gives us 100, but when applying the rule, we round the result to 100.0 to reflect the precision of the original measurements.
Similarly, if we subtracted 46.5 from 53.5, the result would still have one decimal place: 7.0.
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On a map 1 cm = 50 mi. On the map, Grand Canyon is 4 cm from Phoenix. What is the actual distance?
Answer:
200
Step-by-step explanation:
1cm=50m
1*4=50*4
4=200 miles
10. Given g(x) = 3(2-x), what is the value
of g(-3)?
The value of g(-3) is 15 of the function: g(x) = 3(2-x)
Define function.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
Given Data
Function
g(x) = 3(2-x)
g(-3)
Equating x = -3
g(-3) = 3(2-(-3))
g(-3) = 3(2+3)
g(-3) = 3(5)
g(-3) = 15
The value of g(-3) is 15.
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Please help!!!!!! Its due today!!!!
Answer:
(-3, -1) (-2, 3)
(-2, 3) (-2, 3)
Step-by-step explanation:
Answer:
I think this is your answer _. 4 ×( _ 2°3)
a triangle is the shape used to represent the components of total health. rue or false
A triangle is a shape used to represent the components of total health. True
A wall is 15 ft. High and 10 ft. From a house. Find the length of the shortest ladder which will just touch the top of the wall and reach a window 20.5 ft. Above the ground.
Answer:
the length of the shortest ladder is 11.41 feet
Step-by-step explanation:
The computation of the length of the shortest ladder is shown below:
AB^2 = AC^2 + BC^2
AB^2= (10)^2 + (5.5)^2
AB^2= 100 + 30.25
AB^2 = 130.25
AB = 11.41 feet
hence, the length of the shortest ladder is 11.41 feet
Question 1 of 6
Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
If your teacher tells you to do questions 28 through 41 in your math book for
homework, how many questions is that?
(Do not include units in your answer.)
There are 14 questions in total that need to be done for homework.
If the teacher assigns questions 28 through 41 in the math book for homework, we can find the number of questions by subtracting the starting question number from the ending question number and adding 1.
Number of questions = (ending question number) - (starting question number) + 1
In this case, the starting question number is 28 and the ending question number is 41.
Number of questions = 41 - 28 + 1 = 14
Therefore, there are 14 questions in total that need to be done for homework.
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Can someone plz help me? :(
Answer:
The second option since its specifically asking abt the 58 equation
Step-by-step explanation:
A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
\(\boxed {\boxed {\sf 102.1 \ meters}}\)
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
\(tan(\theta)=opposite/adjacent\)
The angle (θ) is 80. The opposite is x. The adjacent is 18.
\(tan(80)=x/18\)
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
\(18*tan(80)=x/18*18\)
\(18*tan(80)=x\)
\(18*5.67128182=x\)
\(102.0830728=x\)
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
\(102.1\approx x\)
The height of the tree is about 102.1 meters.
**diagram is not to scale
To find percent of a number, 1- multiply2- dividethe number by the fraction or decimal equivalent of the1- number2- percent.To find an unknown percent or part, solve a proportion comparing the1- part2- percentto the ratio of1- percent2- partto whole.
the first is multiply, the second percent
the third is part and the next too
In the next three questions, complete the proof of Theorem 31 (Opposite angles of a parallelogram are congruent.) by selecting the best reason or statement.
Answer:
see attached figure
Step-by-step explanation:
table completed. See figure
Find the total cost. $ 990 T.V.; 9% tax $
Answer:
$1079.10 is the total cost
Step-by-step explanation:
Take the cost of the tv and multiply by the tax rate to find the tax
990 * 9%
990 * .09
89.1
Add this to the cost of the tv to find the total cost
990+89.1
1079.10
Answer:
The total cost of a TV and 9% tax is $1079.1.Step-by-step explanation:
We know that:
Cost of TV = $990990 x 9/100 = 9% TaxWork:
990 + (990 x 9/100) = Total cost=> 990 + (99 x 9/10) = Total cost=> 990 + (9.9 x 9) = Total cost=> $1079.1 = Total costHence, the total cost of a TV and 9% tax is $1079.1.
Hoped this helped.
\(BrainiacUser1357\)
Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s?. On the new planet; your weight will be times its value on earth b. b) Va times its value on Earth the same its value on Earth d can"t tell Clear my choice
On the new planet, your mass will be the same. Therefore, the correct option is A.
The mass of an object is a fundamental property that remains constant regardless of the location or environment. Therefore, if you were to travel from Earth to a planet with an acceleration of gravity of 2.5 m/s², your mass would remain the same. Therefore, the correct answer is A: the same.
It is important to note that although the mass remains constant, the weight of the object may vary based on the strength of gravity. Weight is the measure of the force of gravity on an object, and it is directly proportional to the acceleration of gravity. As the acceleration of gravity increases, the weight of an object also increases.
Note: The question is incomplete. The complete question probably is: Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s. On the new planet, your mass will be about a. a) the same b. b) 7 times its value on Earth c. c) 2 times its value on Earth d. d) 4 times its value on Earth.
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Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *
Answer:
Mia's score is 10
Step-by-step explanation:
Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *
We are told that:
Correct points = 10 per answer
Incorrect points = 20 per answer
Mia answered 7 questions correctly and 3 questions incorrectly.
Hence:
7 (10) + 3(20)
= 70 points - 60 points
= 10 points
Mia's score is 10
Convert 84 grams into milligrams.
Answer:
The answer is 84000 milligrams
Step-by-step explanation:
The formula is to multiply the mass value by 1000
Answer:
84000 mg
Step-by-step explanation:
1 gram = 1000 mg so 84 times 1000 is 84000
help me in this please
Answer:
35 rows and 35 numbers of plants in a row.
Step-by-step explanation:
Mark as brainliest
ASAP
must be done today
The box-and-whisker plot for the data can be seen in the attachment.
The data given to us is:
50, 51, 54, 55, 57, 61, 62, 63, 65, 66, 67, 68, 71, 71, 76, 76, 77.
As the data is already ordered from least to greatest, we can apply the formulas.
The sample size, n = 17.
Start point = 50.
First quartile, Q1 = (n + 1)/4 th observation = (17 + 1)/4 th observation = 18/4 th observation = 4.5 th observation = average of the 4th and the 5th observation = (55 + 57)/2 = 112/2 = 56.
Median, Q2 = (n + 1)/2 th observation = (17 + 1)/2 th observation = 18/2 th observation = 9th observation = 65.
Third quartile, Q3 = 3(n + 1)/4 th observation = 3(17 + 1)/4 th observation = 3*18/4 th observation = 54/4 th observation = 13.5 th observation = average of the 13th and the 14th observation = (71 + 71)/2 = 142/2 = 71.
End point = 77.
Thus, the box-and-whisker plot should be designed as follows:
The start of the first whisker is from 50, representing the start point.
The start of the box is from 56, representing the first quartile.
The line inside the box is at 65, representing the median.
The end of the box is at 71, representing the third quartile.
The end of the whisker is at 77, representing the endpoint.
The box-and-whisker plot can be seen in the attachment.
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