i think its ctuallly76
Which pair of numbers has 7 as its least common multiple? Group of answer choices 1, 7 3, 4 7, 21 14, 28
Answer:
7, 14, 14,21, and 28
Step-by-step explanation:
Only 1, 7 is pair of numbers that has 7 as its least common multiple.
Given that,
Pairs ( 1, 7 ), ( 3, 4 ), ( 7, 21), ( 14, 28).
A pair or pairs to be determined that have 7 as its least common multiple.
In mathematics, it deals with numbers of operations according to the statements.
What is Lowest Common Multiple?In arithmetic, LCM is defined as the lowest common multiple of two integers X and Y, usually represented as by LCM X, Y, and is the smallest favorable integer that is dividable by both X and Y.
Since the Least common multiple of pair of numbers has 7, this is only possible for 1 * 7, because the LCM of 1 and7 is 7. So from given option 1, 7 is the required pair.
Thus, only 1, 7 is pair of numbers that has 7 as its least common multiple.
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Perpetual Inventory Using FIFO The following units of a particular item were available for sale during the calendar year: The firm maintains a perpetual inventory system. Determine the cost of goods sold for each sale and the inventory balance after each sale, assuming the first-in, first-out method. Present the data in the form illustrated in Exhibit 3. Under FIFO, if units are in inventory at two different costs, enter the units with the LOWER unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
The FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
To determine the cost of goods sold for each sale and the inventory balance after each sale using the first-in, first-out (FIFO) method, we need to follow these steps:
1. Identify the units sold and their respective costs:
- Start with the units available for sale at the beginning of the year.
- For each sale, allocate the units sold from the oldest inventory (first-in) at their corresponding cost.
2. Calculate the cost of goods sold (COGS) for each sale:
- Multiply the number of units sold by their respective cost.
- This will give you the cost of goods sold for each sale.
3. Update the inventory balance after each sale:
- Subtract the units sold from the total units available for sale.
- Multiply the remaining units by their respective cost to get the ending inventory value.
Remember to follow the FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.
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A boat sails due south from a port at a steady speed of 9km/h. The wind blows the boat due west at a speed of 3km/h. How far is the boat from the port after one hour?
I need to figure this out with the formula a2 + b2 = c2
We are solving for c2 - the hypotenuse.
Answer:
10
Step-by-step explanation:
a^2+b^2=c^2
9^2+3^2=c^2
81+9=c^2
100=c^2
c=10
there were 7 students in the Trojans cheer-leading squa. The childred shared 5 pizzas. How many slices of pizza did each cheerleader get?
1.4 I think I hope im right sorry If my not
Using an integrating factor, solve y-y-5 CD- in the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y alty bit). is the given equation in the standard form? No Yes Identify a(t) and bit)
The value of a(t) is -1 and b(t) is 55 + \(e^t\)
No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.
In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.
For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:
μ(t) = e^∫a(t)dt
To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.
To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).
Comparing the given equation with the standard form, we can identify:
a(t) = -1
b(t) = 55 + \(e^t\)
Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)
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sin 20° cos 40° cos 80° = 1
Answer:
I think that the answer is 1/8 NOT 1
Step-by-step explanation:
Which value is the solution to the equation 2b + 5b - 7 = 14. When the replacement set is {2, 3, 4, 5}?
Answer:
2.25
Step-by-step explanation:
2b + 2b - 4=5
Add 2b + 2b
bring down the -4 and 5
4b - 4=5
4b= 5+4
Add 5 + 4=9
4÷4b=9÷4 -Divide n both side
cancel the 4 sense their the same and bring down the B
Divide 9 and 4
9÷ 4= 2.25
B=2.25
the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x 10y
The equation given, 5x + 10y, does not represent the total amount of fiber in a package containing x apples and y oranges.
To calculate the total amount of fiber in a package containing x apples and y oranges, you would need to know the amount of fiber in each apple and orange and the number of apples and oranges in the package.
For example, if each apple contains 3 grams of fiber and each orange contains 2 grams of fiber, and there are x apples and y oranges in the package, the total amount of fiber in the package would be:
Total fiber = (3 grams of fiber per apple)(x apples) + (2 grams of fiber per orange)(y oranges)
Total fiber = 3x + 2y grams
what is number?
A number is a mathematical concept used to represent quantity or magnitude. Numbers can be used to count objects, measure distances or sizes, perform calculations, and describe various other mathematical concepts. The most basic types of numbers are the natural numbers, which include all positive integers (1, 2, 3, ...), and sometimes zero (0) as well. Other types of numbers include fractions, decimals, negative numbers, complex numbers, irrational numbers, and more. Numbers are a fundamental concept in mathematics and are used extensively in many fields, including science, engineering, economics, and finance.
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Can someone just check this to make sure it is correct and please be honest because my grade depends on this
Answer:
Your answers are right
P = 2L + 2W, solve for L
Answer:
L = -W + P/2
Step-by-step explanation:
2L + 2W = P (subtract 2W)
2L = -2W + P (divide by 2)
L = -W + P/2
Instructions: Find the length of the missing side.
Please help explain how I do this!! I will give you a Brainliest!!!!
Answer:
side AB = \(9\sqrt{2}\)
hypotenuse CB = 18
Step-by-step explanation:
with a 45-45-90 triangle, we know that the two legs (AC and AB in this picture) are the same length, so if AC is \(9\sqrt{2}\) , then AB would have to be the same so therefore it would also be \(9\sqrt{2}\). We also know that the length of the hypotenuse (CB) is the length of the leg times \(\sqrt{2}\). So, it would be \((9\sqrt{2} ) *\sqrt{2}\), which is the same as saying \(9*(\sqrt{2}) * (\sqrt{2} )\). Doing \((\sqrt{2}) * (\sqrt{2} )\) would cancel out the square roots, leaving you with just 2, so you get 9*2, which is 18.
In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom
The floor area of the bedroom is equal to: 3. 225√3 square feet.
How to calculate the area of a triangle?In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):
Area of triangle = 1/2 × b × h
Where:
b represent the base area.h represent the height.Since line segment EF is parallel to line segment BC, we can logically deduce that the corresponding angles of triangles AEF and ABC would be congruent (equal). Therefore, we have the following proportional sides;
AE/ AB = A-F/FC
30/(30 + 30) = x/(x + 15)
x = 15
Length AC = x + 15
Length AC = 15 + 15
Length AC = 30 feet.
Now, we can determine the floor area of the bedroom in square feet as follows:
Floor area of the bedroom = Area of triangle ACD
Floor area of the bedroom = √3/4 × 30²
Floor area of the bedroom = √3/4 × 900
Floor area of the bedroom = 225√3 square feet.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Solve c= 8a-3b for a
Answer:
(c+3b)/8 = a
Step-by-step explanation:
c= 8a-3b
Add 3b to each side
c+3b= 8a-3b+3b
c+3b = 8a
Divide each side by 8
(c+3b)/8 = 8a/8
(c+3b)/8 = a
help me find the answer please
Answer:
A x<1125
Step-by-step explanation:
HELP ASAP!!
What is the slope of the line x = 4?
Answer:
no slope
Step-by-step explanation:
3. if the provided hash value is the same as the one you calculated, does that mean that this is absolutely the right file that delivers what it promises, or could it be malicious? explain.
When comparing hash values, if the provided hash value matches the one you calculated, it means that the file you have received is identical to the original file used to calculate the hash. This implies that the file has not been modified or tampered with since the hash was generated.
However, it is important to note that a matching hash value does not guarantee that the file is completely safe or trustworthy. Hash functions are designed to generate a unique hash value for each unique input, but it is still theoretically possible for two different files to have the same hash value (known as a collision). Although the chances of a collision are extremely low with well-designed hash functions, it is not entirely impossible.
Therefore, while a matching hash value provides some level of confidence that the file has not been altered, it does not guarantee the integrity or security of the file. Other factors should be considered, such as the source and reputation of the file, the context in which it was obtained, and the presence of any additional security measures or verification methods.
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Suppose parametric equations for the line segment between (0,−7) and (−1,10) have the form:x= a+bty = c+dtIf the parametric curve starts at (0,−7) when t=0 and ends at (−1,10) at t=1, then find a, b, c, d.
The line segment and the parametric equations of a, b, c, and d are:
a = 0
b = -1
c = -7
d = 17
To find the values of a, b, c, and d, we need to use the given information about the line segment and the parametric equations:
At t=0, the parametric curve starts at (0,-7), which means:
x = a + bt = 0 when t = 0
y = c + dt = -7 when t = 0
This gives us two equations:
a = 0
c = -7
At t=1, the parametric curve ends at (-1,10), which means:
x = a + bt = -1 when t = 1
y = c + dt = 10 when t = 1
This gives us two more equations:
a + b = -1
c + d = 10
We now have four equations in four unknowns, which we can solve simultaneously to find the values of a, b, c, and d:
a = 0 (from the first equation)
c = -7 (from the second equation)
a + b = -1 (from the third equation)
c + d = 10 (from the fourth equation)
Solving for b and d, we get:
b = -1
d = 17
Therefore, the parametric equations for the line segment are:
x = bt = -t
y = -7 + 17t
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The length of a poster is 15 feet how long is the poster in inches
Answer:
180 in.
Step-by-step explanation:
12 in = 1 ft
15 × 12 = 180
A water park has pools, slides, and rides that, in total, make use of 5.9 × 1 0 5 5.9×10 5 gallons of water. They plan to add a ride that would make use of an additional 820 , 000 820,000 gallons of water. Use scientific notation to express the total gallons of water made use of in the park after the new ride is installed.
The total water usage in the water park, in scientific notation is 1.41 × \(10^{6}\) gallons of water.
To express the total gallons of water used in the water park, including the additional water used by the new ride, we can use scientific notation.
The initial water usage in the park is given as 5.9 × \(10^{5}\) gallons of water.
The water usage of the new ride is stated as 820,000 gallons.
To find the total water usage after adding the new ride, we need to add the initial water usage to the water usage of the new ride:
5.9 × \(10^{5}\) + 820,000
To perform this calculation, we need to convert the water usage of the new ride to scientific notation:
820,000 = 8.2 × \(10^{5}\)
Now, we can add the two values:
5.9 × \(10^{5}\) + 8.2 × \(10^{5}\)
When adding values in scientific notation, we need to ensure that the exponents are the same. In this case, both values have an exponent of 5, so we can simply add the coefficients:
5.9 + 8.2 = 14.1
Therefore, the total water usage in the water park, including the new ride, can be expressed in scientific notation as 1.41 × \(10^{6}\) gallons of water.
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An early expert in the field of mathematics, g. polya, published a book called, how to solve it, in 1945. in this book a simplified problem solving method was laid out. The steps included all of the _____________
following:
Understanding the problem.Devising a plan.Carrying out the plan.Reflecting on the solution obtained.Polya's Problem Solving StepsThe book "How to Solve It" by George Polya is a classic work in the field of mathematics education. It lays out a four-step method for solving mathematical problems, which includes understanding the problem, devising a plan, carrying out the plan, and reflecting on the solution obtained.
The purpose of the book is to help students and problem solvers develop a systematic and effective approach to solving problems in mathematics and other areas of life. The book is widely used and respected in mathematics education, and its ideas have been applied to many other fields, such as engineering, computer science, and business.
The four steps outlined in the book provide a structure for approaching any problem in a systematic and organized manner, which can be applied to a wide variety of problems in different fields. This structure helps to ensure that all relevant information is considered and that the problem is solved in the most efficient and effective way possible.
Additionally, the step of reflecting on the solution obtained helps to promote a deeper understanding of the problem and the solution, which is important for developing problem-solving skills over time. As a result of its simplicity, clarity, and effectiveness, "How to Solve It" continues to be a popular and highly-regarded book in the field of mathematics education and beyond.
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The model below represents 2 x + 1 = negative x + 4. 2 green long tiles and 1 green square tile = 1 long red tile and 4 square green tiles What is the value of x when solving the equation 2 x + 1 = negative x + 4 using the algebra tiles? x = negative 3 x = negative 1 x = 1 x = 3
Answer:
The model you described is a mathematical representation using algebra tiles, and it represents the equation 2x + 1 = -x + 4.
Step-by-step explanation:
To solve this equation for x, we need to isolate x on one side of the equation by using the operations of algebra (such as addition, subtraction, multiplication, and division).
In this case, we can start by adding x to both sides:
2x + 1 + x = -x + 4 + x
This gives us:
3x + 1 = 4
The next step would be to subtract 1 from both sides:
3x = 3
then we divide both sides by 3
x = 1
So x=1 is the solution.
The algebra tiles help to visualize the manipulation of equations, but the actual solving process is algebraic manipulation of the equation.
what are the coordinates of the image P for a dilation with center (0,0) and a scale factor 2? answer choices :• (2,0) • (0,6)• (-4, 2)• (0,5)
Rule for a dilation with center (0,0)
\((x,y)\rightarrow(kx,ky)\)k is the scale factor.
For point P (0,3):
\(\begin{gathered} P(0,3)\rightarrow P^{\prime}(2(0),2(3)) \\ P(0,3)\rightarrow P^{\prime}(0,6) \end{gathered}\)Then the coordiantes of point P after the dilation are (0,6)A hiker has various cans of food of assorted sizes that are to be placed in a knapsack. Unfortunately, the knapsack is not large enough to hold all the cans. Therefore, the hiker must determine which cans are to be included in the knapsack Suppose that a hiker's knapsack will hold no more than 0.8 cubic feet of canned goods. The hiker would like to make a selection that will maximize the total protein content of the food in the knapsack. Some food items that are being considered for inclusion in the knapsack are shown in Table below
Item Volume, cubic feet Grams of protein
1 0.2 12
2 0.5 40
3 0.2 15
4 0.2 20
5 0.3 10
a. How should the hiker pack his bag? Build a model in Excel to answer this question.
b. Suppose the hiker wants to include item 2 and 3 for sure. What would the optimal solution be?
c. Suppose now the hiker has to include at least one of the items 2 and 3 (both are also allowed, but not neither). What would the optimal solution be?
a. The hiker should pack the bag by selecting the items with the highest protein density first, based on grams of protein per cubic foot. Add the items to the knapsack until the volume limit of 0.8 cubic feet is reached. b. If the hiker wants to include item 2 and 3 for sure, the optimal solution would be to add those two items first and then continue selecting additional items based on protein density until the volume limit is reached. c. If the hiker has to include at least one of the items 2 and 3, the optimal solution would be to select the item with the highest protein density among the two and add it to the knapsack first. Then continue selecting additional items based on protein density until the volume limit is reached.
a. To determine how the hiker should pack the bag to maximize the total protein content, we can use a knapsack problem algorithm. We will create a model in Excel to solve this problem. The model will include the following steps:
1. Create a table with columns for the item number, volume, and grams of protein.
2. Add additional columns to calculate the protein density for each item by dividing the grams of protein by the volume.
3. Sort the table in descending order based on the protein density column.
4. Add additional columns to calculate the cumulative volume and cumulative protein for each item as we add them to the knapsack.
5. Starting from the top of the sorted list, add items to the knapsack as long as the cumulative volume does not exceed 0.8 cubic feet.
6. Once we reach the maximum volume, check if adding the next item would increase the total protein content. If it does, include it in the knapsack.
7. Repeat step 6 until there are no more items or the cumulative volume exceeds 0.8 cubic feet.
b. If the hiker wants to include items 2 and 3 for sure, we can modify the model as follows:
1. Start by adding items 2 and 3 to the knapsack.
2. Follow the same steps as mentioned above to determine if adding more items would increase the total protein content without exceeding the maximum volume.
c. If the hiker has to include at least one of the items 2 and 3, we can modify the model as follows:
1. Start by adding either item 2 or item 3 to the knapsack, whichever has a higher protein density.
2. Follow the same steps as mentioned above to determine if adding more items would increase the total protein content without exceeding the maximum volume.
By building and running the Excel model with these modifications, the hiker can determine the optimal solution based on the given constraints.
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The graph below shows the solution to which system of inequalities?
The correct system of inequalities is the one in option A.
Which is the system of inequalities?We can see two lines with positive slopes.
The one with larger slope is a dashed line, and the region shaded is above that line, so we use the symbol y > line.
The one with smaller slope is solid, and the region shaded is below the line, so we use y ≤ line.
Then the correct system of equations is:
y ≤ (1/6)x + 2
y > (1/4)x + 1
So the correct option is A.
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11 Need help. I can’t fail this!!
Answer:
No they are not similar
Step-by-step explanation:
To make them similar, they would have to have the same angle measurements. The first triangle has 81, and 60 if you add them then subtract the sum by 180 you get the last angle measure, which is 39. 39 is not the same as 40 in the second triangle, proving they do not have the same angles and are not similar
P= x/3 - 2 when p equals -5
Answer:
x = -9
Step-by-step explanation:
Plug in -5 to P then simplify the expression.
-5 = x/3 - 2
-3 = x/3
-9 = x
Answer:
I think X= -9
Step-by-step explanation:
Sub in -5 for p
-5=x/3 - 2
then add the -2
-3 =x/3
then multiple the 3
and you get -9
Please give me brainliest!
Prove that, in a right triangle with a 15° angle, the altitude to the hypotenuse is one fourth of the hypotenuse (without using trigonometric functions).
Answer:
a = b/4
Step-by-step explanation:
Let a be the altitude to the hypotenuse and b be the hypotenuse. The 15° angle faces a and the right angle faces b.
Using the sine rule,
a/sin15 = b/sin90
a = bsin15/sin90
= 0.25b
= 25b/100
= b/4
consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to ?
The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is
||A - A1||₂=0 where A is 2×2 matrix.
We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]
note here that C₂= 3C₁
where Cᵢ --> iᵗʰ column
v = [ 5 ; 6 ; -1 ; -4 ; 2]
||v||² = 82 => ||v|| = √82
and A At v = 820 v
and A At = [ 82 246 ; 246 738]
AAt [1;3] = 820[1;3]
=> v1 = 1/√10(1,3)^t
Then the best rank of 1 approx
= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]
= A
Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0
Hence, the minimal Approx. ||A - A1||2 = 0 .
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Complete question:
Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?
If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?
Answer:
Given ,
Length of rectangle = 10cm
Breadth of rectangle = 15cm
Now ,
Area of rectangle = length × breadth
= ( 10 × 15 ) cm²
= 150 cm²
\(\\\)
hope helpful ~
Question :-
If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?Answer :-
Area of Rectangle is 150² cm .\( \rule {210pt} {2pt} \)
Given :-
Lenght of Rectangle = 10 cmBreadth of Rectangle = 15 cmTo Find :-
Area of Rectangle = ?Solution :-
As per the provided information in the given question, we have been given that the Lenght of Rectangle is 10 cm . Breadth of Rectangle is given 15 cm . And, we have been aksed to calculate the Area of Rectangle .
For calculating the Area , we will use Area of Rectangle Formula :-
\( \sf {Area \: of \: Rectangle = Lenght \times Breadth} \)Therefore , by Substituting the given values in the above Formula :-
⇒ Area of Rectangle = Lenght × Breadth
⇒ Area of Rectangle = 10 × 15
⇒ Area of Rectangle = 150
Hence :-
Area of Rectangle = 150² cm\( \underline {\rule {210pt} {4pt}} \)
Additional Information :-
\( \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \)
Multiple Linear Regression: A) Multiple linear regression allows for the effect of potential confounding variables to be controlled for in the analysis of a relationship between X and Y (T or F)? B) If researchers want to assume that X1 is the explanatory variable in a linear model Y=α+β1*X1+β2*X2+β3*X3, and then decide that they want to observe the relationship as though X2 were the explanatory variable, they must re-work the model and compute new beta coefficients (T or F)? C) Deviations away from the diagonal line presented in a normal Q-Q plot output indicate a high R2 value, and thus a proper approximation by the multiple linear regression model (T or F)?
The statement ''Multiple linear regression allows for the effect of potential confounding variables to be controlled for in the analysis of a relationship between X and Y'' is true because -
Multiple linear regression allows for the inclusion of multiple independent variables, which can help control for the influence of confounding variables by statistically adjusting their effects on the relationship between the dependent variable (Y) and the main independent variable of interest (X).
In simple linear regression, we analyze the relationship between a single independent variable (X) and a dependent variable (Y).
However, in real-world scenarios, the relationship between X and Y may be influenced by other variables that can confound or affect the relationship.
Multiple linear regression addresses this by including multiple independent variables (X1, X2, X3, etc.) in the analysis.
By incorporating these additional variables, we can account for their potential influence on the relationship between X and Y.
The coefficients associated with each independent variable in the regression model represent the unique contribution of that variable while controlling for the other variables.
Controlling for potential confounding variables helps to isolate the relationship between X and Y, allowing us to assess the specific impact of X on Y while considering the effects of other variables.
This enhances the validity and accuracy of the analysis, providing a more comprehensive understanding of the relationship between X and Y.
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