A smaller MAD indicates less variability in the data set, while a larger MAD indicates greater variability.
The mean absolute deviation (MAD) is a measure of the variability of a set of data. It measures the average distance between each data point and the mean of the data set.
In this case, the MAD of Mr. Zimmerman's class is 0.46. This means that, on average, each data point in the class is about 0.46 units away from the mean of the data set.
The MAD gives an idea of how spread out the data is from the mean, regardless of whether the data is positively or negatively deviated from the mean.
A smaller MAD indicates less variability in the data set, while a larger MAD indicates greater variability.
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Luna and ger friend maka sandwiches with 1/3 of a baguette. They sahre the baguette equally
Luna and her friend Maka decided to make sandwiches using 1/3 of a baguette. To ensure fairness, they agreed to divide the baguette equally between them. They carefully measured the baguette and cut it into two equal parts, ensuring each of them received an equal portion.
Luna and Maka then began assembling their sandwiches. They spread their preferred fillings on their respective portions of the baguette, adding layers of vegetables, meats, and condiments to create delicious sandwiches.
After completing their sandwich preparation, Luna and Maka sat down together to enjoy their culinary creations. They appreciated the taste and quality of their sandwiches, delighted by the shared experience and the equal distribution of the baguette.
As they savored each bite, Luna and Maka cherished their friendship and the simple joy of sharing a meal together. They found contentment in the realization that even the smallest things, like a shared baguette, could strengthen their bond and create lasting memories.
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What is the correct sequence of steps for calculating 96 on a scientific calculator?
O A.
OB.
O C.
First press 9, then 6, then the exponent key, and finally press the equal sign (=).
First press 6, then 9, then the exponent key, and finally press the equal sign (=).
First press 9, then the exponent key, then 6, and finally press the equal sn (=).
In order to calculate 96 on a scientific calculator, you must first press the number 9, then the exponent key, then the number 6, and finally the equals symbol (=). The right answer is C.
A scientific calculator is what?A scientific calculator can handle numbers on a much larger scale than a basic calculator can, which is advantageous when it comes to data collection or when working as a physicist or chemist. Basic calculators can only manage smaller values. It can also compute scientific notation in the negative.
On a scientific calculator, pressing 9 first, the exponent key second, 6 next, and then the equal sign (=) is the proper order to perform the calculation 96.
What is the square root?The square root of a number is its power 1/2 value. To put it another way, it is the number whose product by itself results in the original number.
As a result, choice C is the right one.
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What are the domain and range of the function?
f(x)=x−1−−−−√3
Responses
Domain: [1, ∞)
Range: [0, ∞)
Domain: [ 1 , ∞ ) , , Range: left square bracket 0 comma infinity right parenthesis, , ,
Domain: [1, ∞)
Range: (−∞, ∞)
Domain: left square bracket 1 comma infinity right parenthesis, , Range: left parenthesis negative infinity comma infinity right parenthesis , , ,
Domain: (−∞, ∞)
Range: (−∞, ∞)
Domain: left parenthesis negative infinity comma infinity right parenthesis, , Range: left parenthesis negative infinity comma infinity right parenthesis, , ,
Domain: [0, ∞)
Range: [1, ∞)
The domain and range of the function is given below.
What is function?A function is a process or set of instructions that takes inputs, performs a specific task, and produces an output. Functions are key components of programming languages, allowing the coder to create complex commands with simple instructions. For example, a function can be used to add two numbers together or to generate a random number. Functions can also be combined to create more complex sequences of instructions.
This is because for the input of x = 0, Domain: [1, ∞)
Range: [0, ∞)
there are two corresponding outputs of y, namely 0 and 1.This does not satisfy the definition of a function, which states that for any given input, there must be only one output. Therefore, the relation shown in the table is not a function.
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Which of the following is the factored form of the goven equation? 6x² + 2x - 8 = 0
A. 2(3x+4)(x+1) = 0
B. (6x+1)(x-8)=0
C. 2(3x+4)(x-1)=0
Answer:
C
Step-by-step explanation:
6x^2 + 2x - 8
Multiply the (6) to the -(8) to get x^2 by itself.
x^2 + 2x - 48
Solve -
(x-6)(x+8) = x^2 + 2x - 48
However, you must divide out the (6) you multiplied.
(x-6/6) =
(x-1)
(x+8/6) =
(3x + 4)
Therefore, 2(3x + 4)(x-1) is your answer.
EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.
10 fracciones que generen decimales exactos 10 fracciones que generen decimales inexactos puros y 10 fraccionarios que generen decimales periódicos mixtos
Answer:
Un número decimal exacto es algo de la forma:
3.27
Para reescribir este número como una fracción, podemos ver que tiene dos dígitos luego del punto.
Entonces podemos multiplicar y dividir por 100 (misma cantidad de ceros que dígitos luego del punto decimal)
así obtenemos:
3.27*(100)/(100) = 327/100
Entonces la fracción 327/100 genera un decimal exacto.
Así, encontrar 10 fracciones es trivial, 10 ejemplos son:
7/10 = 0.7
314/100 = 3.14
27/10 = 2.7
27/100 = 0.27
2/10 = 0.2
25/100 = 0.25
31/10 = 3.1
12/10 = 6/5 = 1.2
131/10 = 13.1
142/100 = 1.42
Ahora, un decimal inexacto puro es algo de la forma:
3.33...
donde el 3 se repite infinitamente.
Tratemos de reescribir este número como una fracción:
primero debemos ver la cantidad de dígitos que se repiten, en este caso es uno solo, el 3, entonces multiplicamos por 10:
3.33*10 = 33.33...
Ahora, podemos restar el numero original:
33.333... - 3.333... = 30
Entonces tenemos que:
3.33*9 = 30
3.33 = 30/9
La fracción:
30/9 nos da in decimal inexacto puro.
Ahora que sabemos construirlas, 10 ejemplos pueden ser:
30/9 = 3.33....
1/3 = 0.33...
40/9 = 4.44...
50/9 = 5.55...
60/9 = 6.66...
70/9 = 7.77...
20/9 = 2.22...
55/9 = 6.11...
544/99 = 5.5959...
10/9 = 1.11...
Finalmente, un periódico mixto es algo de la forma:
1.2343434...
Es decir, el 34 se repite infinitamente, pero también tenemos un 2 luego del punto decimal, por lo que este número no es puramente periódico.
Para construirlos, podemos tomar una fracción exacta, como
1.1 y una periódica, como 1.11...
Si las sumamos, obtenemos:
1.1 + 1.11... = 2.211...
donde el uno se repetirá infinitamente.
Así, simplemente sumando las fracciones del primer caso con las del segundo, obtendremos decimales periódicos mixtos, por ejemplo:
7/10 + 55/9 = 613/90 = 0.7 + 6.11... = 6.8111....
7/10 + 10/9 = 163/90 = 0.7 + 1.11... = 1.811....
31/10 + 10/9 = 379/90 = 3.1 + 1.11... = 4.2111...
31/10 + 20/9 = 479/90 = 3.1 + 2.22... = 5.322...
31/10 + 30/9 = 579/90 = 3.1 + 3.33... = 6.4333...
27/10 + 20/9 = 443/90 = 2.7 + 2.22... = 4.922...
37/10 + 20/9 = 533/90 = 3.7 + 2.22... = 5.922...
4/10 + 10/9 = 136/90 = 0.4 + 1.11... = 1.511....
3/100 + 10/9 = 1027/900 = 0.03 + 1.11... = 1.14111...
4/10 + 20/9 = 236/90 = 0.4 + 2.22... = 2.622....
d/dx [on [0,x^2] the integral of sin(t^3)dt]=
The derivative of the given integral with respect to x is 2x * sin(x⁶) - 1.
What is integration?
Integration is a mathematical operation that is the reverse of differentiation. Integration involves finding an antiderivative or indefinite integral of a function.
To solve this problem, we need to use the fundamental theorem of calculus and the chain rule.
Let's start by applying the fundamental theorem of calculus, which states that if F(x) is the antiderivative of f(x), then the integral of f(x) from a to x is equal to F(x) - F(a). In other words:
∫[a,x] f(t) dt = F(x) - F(a)
In this case, we have:
F(x) = ∫[0,x²] sin(t³) dt
So, applying the fundamental theorem of calculus, we get:
d/dx [∫[0,x²] sin(t³) dt] = d/dx [F(x) - F(0)]
Now, we need to apply the chain rule to find d/dx [F(x)]. Let's define a new function g(u) = ∫[0,u] sin(t³) dt. Then, we have:
F(x) = g(x²)
Using the chain rule, we get:
d/dx [F(x)] = d/dx [g(x²)] = g'(x²) * d/dx [x²] = 2x * g'(x²)
Substituting this back into the previous equation, we get:
d/dx [∫[0,x²] sin(t³) dt] = 2x * g'(x²) - F'(0)
To find g'(u), we can use the fundamental theorem of calculus again:
g'(u) = d/du [∫[0,u] sin(t³) dt] = sin(u³)
Substituting this back into the previous equation, we get:
d/dx [∫[0,x²] sin(t³) dt] = 2x * sin(x⁶) - cos(0) = 2x * sin(x⁶) - 1
Therefore, the derivative of the given integral with respect to x is 2x * sin(x⁶) - 1.
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Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?
Answer:
180 that boy is soo wrong
Step-by-step explanation:
Combine Like terms:
-6 + y - (-10y)
Answer:
Step-by-step explanation:
-6 + y + 10y
= 11y - 6
Answer:
-6+11y or 11y-6
Explanation:
Since there is a - in front of the parentheses it wants you to multiple by -1, which will be equal to 10y. 10y+y=11y. After this, you would add the -6, or subtract 6 from that.
What is the length of an interior diagonal of a rectangular prism with the width of 60cm length of 80cm and a height of 100cm
The length of the interior diagonal of a rectangular prism with a width of 60cm, length of 80cm, and height of 100cm is approximately 139.42cm.
To calculate the length of the interior diagonal, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the three sides of the right-angled triangle are the width, length, and height of the rectangular prism.
Using the Pythagorean theorem, we can calculate the length of the interior diagonal as follows:
Diagonal² = Width² + Length² + Height²
Diagonal² = 60² + 80² + 100²
Diagonal² = 3600 + 6400 + 10000
Diagonal² = 20000
Diagonal ≈ √20000
Diagonal ≈ 141.42 cm
Therefore, the length of the interior diagonal of the rectangular prism is approximately 139.42cm.
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MISSING QUESTIONSSSSSS!!!!!!! PLSSSSSSSSS ASAPPPPP
I’m tryna get into highschool ya dig?
Answer:
C. 1,000
Step-by-step explanation:
Jenny starts at 2,000 and ends at 3,000
3,000 - 2,000 = 1,000
Hope this helps :)
The solutions of a quadratic equation are - 1,3. Write a related quadratic function in factored form.
Answer:
(x+1)(x-3)
Step-by-step explanation:
We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.
Answer:
(x+1) (x-3)
Step-by-step explanation:
(x+1)=0
x=-1
(x-3)=0
x=3
solutions are (-1, 3) we put -1 first because x always comes before Y value.
Please mark me as brainliest. I need to rank up.
A group of marine biologists tags 45 great white sharks off the coast of Mexico
to study migratory patterns. All of the tag numbers are unique. Weeks later, the
marine biologists travel to Hawaii. While there, they randomly capture and release
20 great white sharks per day, for three consecutive days. On the first day, 3 of the
sharks have the original tags. On the second day, 2 of the sharks have the original
tags. On the third day, 4 of the sharks have the original tags. Based on the data,
what is the estimated population of great white sharks that have migrated from
Mexico to Hawaii?
Yall are some cheaters. Quit looking it up on this website like, dang....
yes or no? help me out thank you so much whoever does:))
Answer:
Yes
Step-by-step explanation:
The bottom left corner is a right angle
a consumer affairs investigator records the repair cost for 44 randomly selected tvs. a sample mean of $91.78$91.78 and standard deviation of $23.13$23.13 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.
To determine the 90% confidence interval for the mean repair cost for the TVs, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
Where:
Sample Mean = $91.78
Standard Deviation = $23.13
Sample Size = 44
Critical Value (z-value) for a 90% confidence level = 1.645 (obtained from a standard normal distribution table)
Standard Error = Standard Deviation / (\(\sqrt{Sample Size}\))
Standard Error = $23.13 / \(\sqrt{44}\)= $23.13 / 6.633 = $3.49 (rounded to two decimal places)
Confidence Interval = $91.78 ± (1.645 * $3.49)
Upper Bound = $91.78 + (1.645 * $3.49) = $91.78 + $5.74 = $97.52 (rounded to two decimal places)
Lower Bound = $91.78 - (1.645 * $3.49) = $91.78 - $5.74 = $86.04 (rounded to two decimal places)
Therefore, the 90% confidence interval for the mean repair cost for the TVs is approximately $86.04 to $97.52.
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Rotate figure 180 degrees clock wise about point (-2,3)
consider the following regression equation: y = 30 8x. if sse = 980 and ss total = 1,400., then the correlation coefficient is _______.
In this case, we are given the regression equation y = 30 + 8x, the sum of squared errors (SSE) as 980, and the total sum of squares (SS_Total) as 1,400. Our goal is to find the correlation coefficient.
To find the correlation coefficient (r), we need to first calculate the coefficient of determination (R^2). R^2 is the proportion of the total variation in the dependent variable (y) explained by the independent variable (x) and can be found using the formula:
R^2 = 1 - (SSE / SS_Total)
Plugging in the values given:
R^2 = 1 - (980 / 1,400) = 1 - 0.7 = 0.3
Now that we have the coefficient of determination (R^2 = 0.3), we can find the correlation coefficient (r) by taking the square root of R^2 and determining the appropriate sign. The sign of the correlation coefficient will be the same as the sign of the slope (8) in the regression equation. Since the slope is positive, the correlation coefficient will also be positive.
r = ±√(R^2) = ±√(0.3) ≈ ±0.5477
Since the slope is positive, we choose the positive value for r:
r ≈ 0.5477
Therefore, the correlation coefficient for this regression equation is approximately 0.5477.
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6.Jonathan is creating a cleaning solution that calls for 4 parts water for every 3 partsViregar, If Jonathan pours 10 mL of water into the solution, how much vinegar will heneed? Show your work4 D BP1 b
Given:
Jonathan is creating a cleaning solution that calls for 4 parts water for every 3 parts vinegar.
Jonathan pours 10 mL of water into the solution.
To find:
The amount of vinegar
Explanation:
Let 4x be the amount of water.
Let 3x be the amount of vinegar.
Since 4x be the amount of water is 10ml.
So, we can write
\(\begin{gathered} 4x=10 \\ x=2.5 \end{gathered}\)Therefore, the amount of vinegar is,
\(\begin{gathered} 3x=3\times2.5 \\ =7.5ml \end{gathered}\)Final answer:
The amount of vinegar is 7.5ml.
A sample is chosen randomly from a population that can be described by a Normal model. Complete parts a and b below. a) What?s the sampling distribution model for the sample mean? Describe shape, center, and spread. Choose the correct answer below. A. Normal, with a center at a and a standard deviation of mu/root n. B. Normal, with a center at sigma/ root n and a standard deviation of mu. C. Normal, with a center at mu/ root n and a standard deviation of sigma. D. Normal, with a center at mu and a standard deviation of sigma/ root n. b) If a larger sample is chosen, what?s the effect on this sampling distribution model? A. The standard deviation will be smaller, but the center will remain the same. B. The center will be smaller, but the standard deviation will remain the same. C. The standard deviation will be larger, but the center will remain the same. D. The center will be larger, but the standard deviation will remain the same.
The correct answer is D. Normal, with a center at mu and a standard deviation of sigma/√n. The correct answer is A. The standard deviation will be smaller, but the center will remain the same.
a) When the sample is randomly selected from a population that has a Normal distribution, the sampling distribution of the sample mean will also have a roughly Normal shape.
The population mean (mu) will serve as the sampling distribution's center, and the sampling distribution's standard deviation (sometimes referred to as the standard error) will be equal to the population standard deviation (sigma) divided by the square root of the sample size (n). The correct answer is D.
b) The sampling distribution's standard deviation (or standard error) diminishes as the sample size increases. This is so that the population mean can be estimated with more accuracy, which reduces the variability in the sample means. As long as the population as a whole doesn't change, the sample distribution's center (the population mean) will, however, stay the same. The correct answer is A.
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The complete question is:
A sample is chosen randomly from a population that can be described by a Normal model. Complete parts a and b below.
a) What's the sampling distribution model for the sample mean? Describe shape, center, and spread.
Choose the correct answer below.
A. Normal, with a center at a and a standard deviation of mu/root n.
B. Normal, with a center at sigma/ root n and a standard deviation of mu.
C. Normal, with a center at mu/ root n and a standard deviation of sigma.
D. Normal, with a center at mu and a standard deviation of sigma/ root n.
b) If a larger sample is chosen, what's the effect on this sampling distribution model?
A. The standard deviation will be smaller, but the center will remain the same.
B. The center will be smaller, but the standard deviation will remain the same.
C. The standard deviation will be larger, but the center will remain the same.
D. The center will be larger, but the standard deviation will remain the same.
Plz help
What is the y- intercept of f(x)=(1/4)^x
Random sampling complicates the analysis of cross-sectional data.
a. True
b. False
Random sampling do not complicates the analysis of cross-sectional data
Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.
There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.
A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.
Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.
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a population has a mean of 30. if 3 points are added to each score, what is the mean for the new distribution?
a. 27
b. 33
c. cannot be determined
d. 30
The mean of the new distribution will be 33 after the addition of 3 points to each score.
Here, correct option will be:- b. 33
The mean of a population is a measure of central tendency that provides an average of the data within a data set. In this question, we are given the mean of a population as 30 and are asked to determine the mean of the new distribution after 3 points have been added to each score.
To answer this question, we must recognize that adding 3 points to each score in the population will increase the mean of the population by 3 points.
Therefore, the new mean of the distribution will be 33 i.e option b. This is because the addition of 3 points to each score will increase the total sum of all the scores, which will in turn increase the mean of the population.
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Solve the system by Elimination.
y = -2x + 3 and 3y = 2x - 19
Answer:
x = 3.5 and y = -4
Step-by-step explanation:
Solve by elimination by adding the two equations together:
y = -2x + 3
3y = 2x - 19
Add like terms, which will eliminate the x values:
4y = -16
Divide each side by 4:
y = -4
Plug in -4 as y into one of the equations, and solve for x:
y = -2x + 3
-4 = -2x + 3
-7 = -2x
3.5 = x
So, x = 3.5 and y = -4
Jane has nickles and quarters in her pocket. There are 20 coins, totaling $3
Answer:
It is 10 quarters and 10 nickels
10 x 25 = $2.50
10 x 5 = $0.50
2.50 + 0.50 = $3.00
***I hope this helps
Step-by-step explanation:
The measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle. Find the measure of each acute angle.
The measure of each of the acute angles of the right triangle is 32° and 58°.
A right triangle is a kind of triangle which has a right angle (90°) and two acute angles (less than 90°).
Let x = measure of one of the acute angles
If the measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle, then
measure of the other acute angle = 2x - 6
The sum of all the angles of any triangle is equal to 180°. Hence,
90° + x + 2x - 6 = 180°
Solve for the value of x.
3x = 96
x = 32
Solve for the measure of the other acute angle.
2x - 6 = 2(32) - 6 = 58
Hence, the two angles are 32° and 58°.
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Find the value of a and the value of b.
Answer:
a=7 b=14
Step-by-step explanation:
I left an attachment for how I solved it
If testing shows that there is less than a chance the results were random, the study is considered _____.
If testing shows that there is less than a 5% chance the results were random, the study is considered statistically significant.
In statistical hypothesis testing, researchers often set a significance level, denoted as α (alpha), which is typically 0.05 or 5%. This significance level represents the threshold below which the researchers consider the results to be statistically significant. If the p-value, which is a measure of the evidence against the null hypothesis, is less than the chosen significance level, it indicates that the results are unlikely to have occurred by chance alone.
When testing shows that there is less than a 5% chance (or any chosen significance level) that the results were random, the study is considered statistically significant. This means that the observed data provides evidence to reject the null hypothesis in favor of the alternative hypothesis. The results are deemed significant because the probability of obtaining such extreme or more extreme results under the assumption of randomness is very low.
Statistical significance is an important criterion in research as it helps researchers draw valid conclusions and make inferences from their data. However, it is essential to note that statistical significance does not imply practical significance or the magnitude of the effect observed. Additional considerations, such as effect size and contextual relevance, are necessary to fully interpret the implications of a statistically significant result in practical terms.
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Find the volume of a cone with a diameter of 12 m and a height of 5 m.
A. 60 m3
B. 60 m3
C. 240 / m3
D. 1807 m3
Please help!!! Need fast will mark Brainiest if correct!
Answer:
60\(\pi\) m³
Step-by-step explanation:
Use the cone volume formula, V = \(\pi\)r²\(\frac{h}{3}\)
If the diameter is 12 m, the radius will be 6 m.
Plug in the height and radius into the formula, and solve:
V = \(\pi\)r²\(\frac{h}{3}\)
V = \(\pi\)(6²)\(\frac{5}{y}\)
V = \(\pi\)(36)\(\frac{5}{3}\)
V = 60\(\pi\)
So, the volume of the cone is 60\(\pi\) m³
essica and her sister, Nicole, need money for lunch. Jessica receives $50 and buys lunches at the high school for $2.50 each and Nicole receives $40 and buy lunches at the elementary school for $1.50 each. How many lunches do they have to buy for the two girls to have the same amount of money in their account?
$50 - $1.50x = $40 - $2.50x
$50 - $1.50x = $40 - $2.50x
$50 - $2.50x = $40 - $1.50x
$50 - $2.50x = $40 - $1.50x
$50 + $1.50x = $40 + $2.50x
$50 + $1.50x = $40 + $2.50x
$50 + $2.50x = $40 + $1.50x
Answer: $50 - $2.50x = $40 - $1.50x
Step-by-step explanation:
What is the domain of the relation? {−5, 0, 3, 4} {−4, −1, 0, 1, 3} {−5, −2, 0, 1, 4} {−5, −4, −2, −1, 0, 1, 3, 4}
The requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.
What is a domain?The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
We have the ordered pair of a relation given as,
(-5, -10), (0, 0) (3, 6) (4, 8)
From above, the x absciss of each ordered pair is termed as the domain of the relation.
So, set of domain = {−5, 0, 3, 4}]
Thus, the requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.
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