The general solution will be:
[tex]$$y(x)=e^{-x / 28}\left(c_1 \cos \left(\frac{\sqrt{55}}{28} x\right)+c_2 \sin \left(\frac{\sqrt{55}}{28} x\right)\right)+x^2-5 x-23$$[/tex]
[tex]$$14 y^{\prime \prime}+y^{\prime}+y=x^2-3 x$$[/tex]
Consider the homogenous equation [tex]$14 y^{\prime \prime}+y^{\prime}+y=0$[/tex]
The auxiliary equation is [tex]$14 m^2+m+1=0$[/tex]
[tex]m=-\frac{1}{28}+i \frac{1}{28} \sqrt{55}[/tex]
The homogenous solution is
[tex]$$y_c(x)=e^{-x / 28}\left(c_1 \cos \left(\frac{\sqrt{55}}{28} x\right)+c_2 \sin \left(\frac{\sqrt{55}}{28} x\right)\right) \text {. }$$[/tex]
Consider the non-homogenous de [tex]$14 y^{\prime \prime}+y^{\prime}+y=x^2-3 x$[/tex] by using the method of undetermined coefficients
consider [tex]$y_p=A x^2+B x+C \Rightarrow y_p^{\prime}=2 A x+B \Rightarrow y_p^{\prime \prime}=2 A$[/tex]
by plugging the values in [tex]$14 y^{\prime \prime}+y^{\prime}+y=x^2-3 x$[/tex]
[tex]$$\begin{aligned}& 28 A+(2 A x+B)+A x^2+B x+C=x^2-3 x \\& \Rightarrow x^2(A)+x(2 A+B)+28 A+B+C=x^2-3 x\end{aligned}$$[/tex]
On comparing both sides we get
A=1.
2A+B =-3
=>B=-3-2A
=>B=-5
28A+B+C=0
=>C=-28A-B
=>C=-23
by plugging the values [tex]y_p=x^2-5 x-23[/tex].
The general solution will be:
[tex]$$y(x)=e^{-x / 28}\left(c_1 \cos \left(\frac{\sqrt{55}}{28} x\right)+c_2 \sin \left(\frac{\sqrt{55}}{28} x\right)\right)+x^2-5 x-23$$[/tex]
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A hotel manager is adding a tile border around the hotel's rectangular pool. The length if 5 more than 3 times the width, as shown. The length of each tile is 1 foot. If the width of the pool is 24 feet, and each tile costs $1.04, what would be the total cost of the tile for the border
Answer: The two expressions that represent the perimeter of the rectangular pool include the following:
A. x + 3x + 1 + x + 3x + 1
E. 8x + 2
How to calculate the perimeter of a rectangle?
Mathematically, the perimeter of a rectangle can be calculated by using this equation;
P = 2(L + x)
Where:
P represents the perimeter of a rectangle.
L represents the length of a rectangle.
x represents the width of a rectangle.
Since the length is 1 more than 3 times the width, we have;
Length, L = 3x + 1
Therefore, the two expressions for the perimeter of this rectangle is given by:
P = 2(3x + 1 + x) = x + 3x + 1 + x + 3x + 1
P = 2(4x + 1) = 8x + 2
Next, we would determine the total cost as follows;
P = 8x + 2
P = 8(20) + 2
P = 162 feet.
Total cost = 1.86 × 162
Total cost = $301.32
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Complete Question:
A hotel manager is adding a tile border around the hotel's rectangular pool. Let x represent the width of the pool, in feet. The length is 1 more than 3 times the width, as shown. Find two expressions that represent the perimeter of the pool. Use the expressions to describe two ways to find the perimeter. The length of each tile is 1 foot. If the width of the pool is 20 feet, and each tile costs $1.86, what would be the total cost of the tile for the border?
A. x + 3x + 1 + x + 3x + 1
B. x + 3x + 1
C. 2x + 3x + 1
D. 8x + 1
E. 8x + 2
F. 4x + 1
Step-by-step explanation:
use the squeeze theorem to find the following limit when b − |x − a| ≤ f(x) ≤ b + |x − a|.
By using the squeeze theorem, we conclude that, [tex]$$\lim _{x \rightarrow a} f(x)=b .$$[/tex]
Limit of a function, Squeeze Law:
The squeeze theorem states that if f(x) ≤ g(x) ≤ h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" sin(x)/x between two nicer functions and using them to find the limit at x=0
We say that a function f(x) approaches a limit L approaches a, or, [tex]$\lim _{x \rightarrow a} f(x)=L$[/tex]
if, for every number [tex]$\epsilon > 0$[/tex], however small, such that [tex]$|f(x)-L| < \epsilon$[/tex],
there always exists a number δ>0 such that
[tex]|x-a| < \delta \text {. }[/tex]
The Squeeze Law:
Suppose that g(x) ≤ f(x) ≤h(x) in some neighborhood of a and also that
[tex]$$\lim _{x \rightarrow a} g(x)=L=\lim _{x \rightarrow a} h(x)$,[/tex]
then,
[tex]$$\lim _{x \rightarrow a} f(x)=L .$$[/tex]
We have to find the limit of f(x) as x approaches to x.
Let [tex]$b-|x-a|=g(x)$[/tex] and [tex]$b+|x-a|=h(x)$[/tex].
Then we have the inequality, g(x) ≤ f(x) ≤h(x)
Let us see what happens to g(x) and h(x) as [tex]$$x \rightarrow a$.[/tex]
[tex]$$\begin{aligned}g(x) & =b-|x-a| \\\\lim _{x \rightarrow a} g(x) & =\lim _{x \rightarrow a} b-|x-a| . \\& =b\end{aligned}$$[/tex]
Similarly,
[tex]$$\begin{aligned}h(x) & =b+|x-a| \\\lim _{x \rightarrow a} h(x) & =\lim _{x \rightarrow a} b+|x-a| . \\& =b\end{aligned}$$[/tex]
We have the conditions required by the Squeeze law,
[tex]$$\lim _{x \rightarrow a} g(x)=b=\lim _{x \rightarrow a} h(x)$$[/tex]
so we conclude that, [tex]$$\lim _{x \rightarrow a} f(x)=b .$$[/tex]
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Which function's graph is symmetric about the point (0,3)
y= x² - 4 is the function symmetric about the point (0,3).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We need to find the function's graph is symmetric about the point (0,3)
You want a parabola with a vertex at the point (0,3) so that is symmetrical on each side of that point.
Using the point (0,3),
The equation for a parabola in vertex form and then simplify:
Vertex = (h,k)
Vertex = (0,3)
y = (x - h)² + k
= (x - 0)² +3
y= x² - 4
Hence, y= x² - 4 is the function symmetric about the point (0,3).
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Is question 2 correct?
Yes, your answer is correct.
First Guess:
I believe that it would be correct
Final Answer:
Your answer is correct
Step-by-step explanation:
How to calculate the average:
In order to find the average, you need to add a group of numbers and then divide by how many numbers there is.
(((For example: 2, 3, 3, 5, 7, 10 -- That equals 30. Then to find the average, you need to divide (30) by how many numbers there is (6). 30/6=5. The average of this is 5)))
This set of numbers is 63, 53, 20, 10. The current average is 36.5.
Adding 9 to that number makes it equal 155. To find the average, we now have to divide 155 by 5(because thats how many numbers there is.
155/5=31
(Please give brainliest I worked hard)
Solve by graphing.
y≥-x+2
y> -5x - 2
pls help ill mark u if u have the answer
The variables (x, y) have the solution (1, -3) in the system of linear inequality
System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
In the question given
y ≥ -x + 2 ...eq(i)
y > -5x - 2 ...eq(ii)
Plotting this on a graphing calculator to find the point of intersection which will determine the solution of the graph;
The solutions to the variables (x, y) in the linear inequalities are (1 , -3)
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Gabriel went shopping for a new phone. Sales tax where he lives is 5%. The price of the phone is $39. Find the total price including tax. Round to the nearest cent.
Answer:
$41.00
Step-by-step explanation:
To determine the total price of the phone including taxes, we need to first calculate the amount of sales tax by multiplying the price of the phone by the sales tax rate:
Sales tax = Price of phone * Sales tax rate
Sales tax = $39 * 5%
Sales tax = $1.95
Next, we can calculate the total price of the phone including taxes by adding the amount of sales tax to the price of the phone:
Total price including taxes = Price of phone + Sales tax
Total price including taxes = $39 + $1.95
Total price including taxes = $40.95
Rounded to the nearest cent, the total price of the phone including taxes is $41.00.
Which is the best approximation for the measure of angle egf? 32.8° 40.2° 49.8° 57.2°
Answer:
A
Step-by-step explanation:
Answer:
40.2°
Step-by-step explanation:
Natalie is the creator of Better Brain, a new mindfulness app for teens. The app currently has 1,262 downloads, and Natalie has set a goal of doubling the downloads every month.
Write an exponential equation in the form y=a(b)x that can model Natalie's goal for the number of downloads, y, in x months.
The exponential equation of the given statement will be equal to, 1262 ×[tex](2)^x[/tex].
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Total number of downloads initially = 1,262
Let the number of months be x.
Then, the equation will be,
y = 1262[tex](2)^x[/tex]
Here, y is the total number of songs.
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100 points + brainliest
Answer:
(-1,5), (0,4), and (-6,7)
Step-by-step explanation:
One may enter each point in both equations and solve matematically to find which points satisfy both equations. But with access to a free, and easy, online graphing utility, it is more illuminating to plot both inequalites to identify the region containing mutual points (faster, also). The attached plot illustrates the result. Each inequality adds a shaded area showing the points satisfying the equation. The color is darkest where the solution areas overlap, as seen in the upper left of the graph. All points in this area satify both inequalities. They are:
(-1,5)
(0,4), and
(-6,7)
Of the remaining three, only (2,-3) satifies neither equation.
Answer:
(-1,5), (0,4), and (-6,7)
Step-by-step explanation:
At a real estate agency, an agent sold a house for $306,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
There are [enter your response] workers in all
I NEED THE ANSWER RN PLS‼️‼️
Answer:
a 22950
b 4590
Step-by-step explanation:
7.5% of 306,000 is 22950
20% of 22950 is 4590
Help! My math teacher sucks so I hope you guys can help me with this question.
A cylinder has a volume of 5m cubed and a radius of 0.7m. What is the height of the cylinder to the nearest hundredth of a meter?
Answer:
1.80
Step-by-step explanation:
Answer:
Volume of a cylinder (v) = πr²h
Step-by-step explanation:
Given V = 5m³
r = 0.7m and π = 3.14
h= ?
using V = πr²h
5 = 3.14 x 0.7² x h
5 = 3.14 x 0.49 xh
5= 1.5386h
divide both side by 1.5386
5/1.5386 = h
h= 3.24970
h= 3.25m ( nearest hundredth)
Answer choices for each are in red equation of lines best fit
Based on the correlation coefficient from the technology data given, the data has a strong negative association.
How to interpret Correlation Coefficient?The correlation coefficient is defined as a statistical measure of the strength of a linear relationship that exists between two variables.
The possible range of values for correlation coefficient is from -1.0 to 1.0. This tells us that the values cannot be more than 1.0 nor be less than -1.0.
Thus, a correlation coefficient of -1.0 shows a perfect negative correlation, while a correlation coefficient of 1.0 shows a perfect positive correlation.
We are given a correlation coefficient of r = -0.9478.
Now, the closer the negative correlation is to -1 indicates a strong negative correlation while the farther it is from -1 indicates a weak negative correlation.
Thus, we can conclude that in this case where the negative correlation is closer to -1 than farther, it can be said to be a strong negative correlation.
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help!...Answer the questions about the following polynomial.
the blank with a drop down flap answer choices are, quartic, cubic, quadratic, linear, quintic
The expression represent a trinomial polynomial with three terms. The constant term is 1 , the leading term is 5, and the leading coefficient is 1 / 7.
What is a polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using operations such as addition, subtraction, multiplication and division.
Trinomials are the algebraic expressions with three unlike terms. Trinomial has three terms.
A constant term is a term in an algebraic expression that does not contain any variables and therefore is constant.
The leading term is the term with the highest power of x.
The leading coefficient of a polynomial is the coefficient found with the variable that has the largest exponent.
Therefore, the expression is a trinomial polynomial. This means it has 3 terms.
The constant term of the polynomial is 1 ,
The leading term is 5, and the leading coefficient is 1 / 7.
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For a ride on a rental scooter, All paid a $7 fee to start the scooter plus 7 cents per minute of the ride. The total bill for All's ride was $20.58. For how many
minutes did All ride the scooter?
minutes
X
Answer:
194 minutes
Step-by-step explanation:
First you subtract $7 from $20.58 because that was the start fee and get 13.58. Then divide 13.58 by 0.07, and get 194.
rewrite the following expression as a single logarithm with coefficient 1. 3log5 uv2 w3
The new expression is written as a single logarithm with a coefficient of 1 is [tex]\log\left(\frac{125u^3v^6}{w^9}\right)[/tex] .
A mathematical formula known as a logarithm determines how many times the base, or initial number, must be multiplied by itself in order to arrive at the desired result. This indicates that the exponent to which b is raised to obtain a number x is the logarithm of x to the base b.
The property of the logarithm used to calculate the given expression is
[tex]\log a^b=b\log a[/tex]
Then, the new expression is written as,
[tex]\begin{aligned}3\log \left(\frac{5 uv^2}{w^3}\right)&=\log\left(\frac{5 uv^2}{w^3}\right)^3\\&=\log\left(\frac{125u^3v^6}{w^9}\right)\end{aligned}[/tex]
In the above expression, the coefficient is 1. Therefore, the required answer is found to be [tex]\log\left(\frac{125u^3v^6}{w^9}\right)[/tex].
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URGENT!! A train travels from City A to City B. The table below shows the distance and the amount of time it takes on the train.
Distance (km) 9, 12, 18
Time (in minutes) 3, 4, 9
O The train does not always go the same distance each minute.
O The train appears to go the same distance each minute.
Predicted amount of time to travel 30 kilometers: __ minutes
The train does not always go the same distance each minute.
Predicted amount of time to travel 30 kilometers is equal to 47.52 minutes.
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the time (in minutes) would be plotted on the x-axis of the scatter plot while the distance (km) would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the distance (km) and time (in minutes), a linear equation for the line of best fit is given by:
y = 1.40x + 5.52
Next, we would determine the predicted amount of time to travel 30 kilometers:
y = 1.40(30) + 5.52
y = 42 + 5.52
y = 47.52 minutes.
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Siddhu bought an mp3 player that typically costs $120 when it was on sale for 20% off. He had to pay 7% sales tax on the sale price. How much did Siddhu pay for the mp3 player in all?
Answer:
$102.72
Step-by-step explanation:
If the mp3 player typically costs $120 and was on sale for 20% off, then the sale price would be 120 * (1 - 0.2) = $96.
If Siddhu had to pay 7% sales tax on the sale price, then the total tax he paid would be 96 * 0.07 = $6.72.
Therefore, Siddhu paid a total of 96 + 6.72 = $102.72 for the mp3 player when it was on sale with the sales tax included.
Loui want to buy a kateboard that uually ell for 79. 91 how much doe thi counter by 12% what i the total cot of the kateboard if Loui ha to pay in tate ale tax of 6. 25% in anwer to Loui want to buy a kateboard that uually ell for 79. 91 how much doe thi counter by 12% what i the total cot of the kateboard if Loui ha to pay in tate ale tax of 6. 25% in anwer to the nearet thing
The total cost of the skateboard if Loui has to pay a state sale tax of 6. 25% is 72.26.
As per the given data, Loui wants to buy a skateboard that has an original price of 79.91, will be discounted 12 %, and will have a sales tax of 6.25 %.
When performing the calculations, remember to convert percent to decimal form and if needed, round to two decimal places since money must be rounded to the nearest cent.
First, we need to find the amount of the discount and then find the sale price (the price after the discount):
Sale price:
Original price - Amount of discount = 79.91 - 11.9 = 68.01
Now that we have the sale price, we can find the amount of tax and then the total cost:
Amount of tax = ( sale price) × (sales tax percent)
[tex]$$\begin{aligned}& =\ 68.01 \times \ 0.0625 \\& \approx \ 4.25 \end{aligned}$$[/tex]
Total cost = sale price + amount of tax
= 68.01 + 4.75
= 72.26
Therefore the cost is 72.26.
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A soccer team earned money to travel to a tournament by earning $12 per hour to paint over graffiti in their neighborhood
for t hours. Their coach said she would double any money they earned.
How much did the soccer team earn in all?
Please write your answer as an expression
The expression for the total amount earned in t hours is 24t.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned per hour = $12
Amount earned in t hour = 12t
The amount is double.
The amount earned per hour.
= 2 x 12t
= 24t
Thus,
The total amount earned in t hours is 24t.
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heteroscedasticity of residuals in regression suggests that there is a. lack of independence in successive errors. b. nonnormality in the errors. c. multicollinearity among the predictors. d. nonconstant variation in the errors.
Option (d) is correct. Heteroscedasticity of residuals in regression suggests that there is a non constant variation in the error.
Heteroscedasticity means unequal scatter. In regression analysis, we talk about heteroscedasticity in the context of the residuals or error term. Heteroscedasticity is a systematic change in the spread of the residuals over the range of measured values. Heteroscedasticity is a problem because ordinary least squares regression assumes that all residuals are drawn from a population that has a constant variance that is heteroscedasticity. the residuals should have a constant variance. Heteroscedasticity is also called as heteroskedasticity. It occurs more often in datasets that have a large range between the largest and smallest observed values. This explains Heteroscedasticity.
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What is the radical part of both when the expressions are simplified?
2
The radical part for both given expressions are √6 and √2
What is radical expression?A radical expression is an expression containing a square root.
Given are two expressions, 3√54 and 3√128, we need to find the radical parts for bot,
1) 3√54=
= 3x√9x6
= 3x3√6
= 9√6
2) 3√128 =
= 3√2x2x2x2x2x2x2
= 3x2x2x2√2
= 24√2
The radical parts are the number under square roots.
Hence, The radical part for both given expressions are √6 and √2
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Help me aspp thank you
y=x is the equation of line parallel to y=x-8 which passes through (7, 7).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the equation of line parallel to y=x-8 and assing through the point (7, 7).
The slope of parallel lines is same.
So the slope is 1.
Now let us find the equation of the parallel line.
To find this we need to find the y intercept.
7=7+b
b=0
The equation of line is y=x
Hence, the equation of line parallel to y=x-8 and passing through (7, 7) is y=x.
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3.9 centimeters =
mm
Answer: 39 mm
Step-by-step explanation:
1 cm = 10 mm
3.9 cm = 39 mm
I just need to take 3.9 times 10 and you will get 39 mm
The price of a venti vanilla bean Frappuccino from Starbucks is $4.45, but you have only $3 with you. Your friend is working and gets you a discount of 20%. How much does the drink cost with the discount? Do you have enough to buy the drink? How much money are you short?
Answer: WIth the discount: $3.56, you do not have enough money, and are $0.56 short.
Step-by-step explanation:
Find 20% of 4.45
(4.45*0.2)= 0.89
Subtract the 20% from 4.45.
4.45-0.89=3.56
$3.56 is more than the $3 you have.
Subtract the $3 you have from the discounted price.
3.56-3.00=0.56
you are $0.56 short.
pls ans this question
Answer:
11 cm
Step-by-step explanation:
2x+x+6+x+4=30
4x+10=30
-10. -10
4x=20
/4. /4
x=5
now we find each length to find the longest
2(5)
10 cm
5+6
11 cm
5+4
9 cm
11 is the biggest one
Hopes this helps have a wonderful day
Bob pick 15 apple in 8 minute. Mary pick 16 apple in 16 minute. Suie pick 10 apple in 19 minute. Who picked apple fater?
By comparing the speeds of all the people, Bob picked apple the fastest.
What is speed?Speed is generally the change in distance per unit time. In this case instead of distance we can use the number of apples.
What is the formula of speed?For this question, speed of picking apples = no of apples / time (in minutes). For Bob, speed = 15/8 = 1.88 apples/minute
For Mary, speed = 16/16 = 1 apples/minute
For Suie, speed = 10/19 = 0.526 apples/minute
This shows that Bob picked apples the fastest.
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Jayden’ now cone machine make 3 now cone from 0. 5 pound of ice. How many now cone can be made with 5 pound of ice?
The number of cones that can be made with 5 pounds of ice is calculated to be 30
From the given information, we have the following parameters that can be employed in our computation:
3 snow cones = 0.5 pounds of ice
For 5 pounds of ice, we have the following representations;
(cones, 5)
Using the above information as a guide, we have the following:
Cones : Pounds of ice = Ratio
Substituting the known values in the above equation as follows;
Cones : 5 = 3 : 0.5
Now multiplying the second ratio by 10
So. we have
Cones : 5 = 30 : 5
By comparison, we determine the number of cones as follows;
Cones = 30
Hence, the number of cones is calculated to be 30
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please answer ASAPPPP
formula: y = mx + b
current points we know:
m = 1/2
x = 10
y = 0
so we solve for the b value.
0 = 1/2 (10) + b
0 = 5 + b
(inverse operation we subtracted 5 on both sides)
-5 = b
so the equation for a line with slope 1/2 passing through the point (10,0) is
y = (1/2)x + (-5) or y = (1/2)x - 5
(not sure if this is correct...)
given a set of data and a corresponding regression line, describe all values of x that provide meaningful predictions for y. A. Prediction values are meaningful for all X-values that are realistic in the context of the original data set. B. Prediction values are meaningful only for x-values that are not included in the original data set. C. Prediction values are meaningful only for X-values in (or close to the range of the original data.
The correct answer is (C) Prediction values are meaningful only for X-values in (or close to the range of the original data.
A regression line is a statistical model that is used to make predictions about the value of a dependent variable (Y) based on the value of an independent variable (X). The regression line is based on a sample of data, and it is typically used to make predictions about the population from which the sample was drawn.
The validity of the predictions made using a regression line depends on the assumptions that were used to create the model. One of these assumptions is that the relationship between X and Y is linear, which means that the predictions are only meaningful for X-values that are within (or close to) the range of the original data. If the X-value is outside this range, the prediction may not be accurate because the model may not accurately represent the underlying relationship between X and Y.
Therefore, to provide meaningful predictions for Y, the values of X should be within (or close to) the range of the original data.
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I HAVE 227 POINTS I WILL GIVE 100 TO THE FIRST ANSWER!!!!
The equation c equals one fourth times s represents the proportional relationship between the number of bags of cement (c) and the number of bags of sand (s) required to make concrete. A graph of this relationship is shown.
graph with x axis labeled bags of cement and y axis labeled bags of sand, with a line from 0 comma 0 going through 16 comma 4
Which statement is true?
The proportional relationship is graphed correctly.
The axes are labeled correctly with the independent and dependent variables.
The graph does not show a proportional relationship.
Bags of Sand should be on the x-axis, and Bags of Cement should be on the y-axis.
The statement that is true about the proportional relationship of the graph is;
C: Bags of Sand should be on the x-axis, and Bags of Cement should be on the y-axis.
How to interpret proportional relationship of Linear Graphs?We are told that the equation c equals one fourth times s. This is expressed as;
c = ¹/₄s
Where;
c is the number bags of cements
s is the number of bags of sands required to make concrete.
We can see that the number of bags of cements is directly proportional to the number of bags of sands required to make concrete.
In this question, the number of bags of sand is the independent variable while the number of bags of cement is the dependent variable.
From the graph attached, we see that the number of bags of sand is on the y-axis, while the number of bags of cement is on the x-axis.
Hence, the correct statement is option (C) Bags of Sand should be on the x-axis, and Bags of Cement should be on the y-axis.
Read more about proportional relationship of Linear Graphs at; https://brainly.com/question/12242745
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