For this problem there are $44.55 Shen paid.
What is sale price?
The cost following a discount applied to the original cost. This item is being sold for $8.00. We must first calculate the discount amount if the discount is a percentage: • Original price x discount rate equals the discount amount.
Given:
An item is regularly priced at $81.
Shen bought it on sale for 45% off the regular price.
The formula for calculating the sales price of an item is:
s = p - (p x d)
Where:
s is the sales price: what we are calculating in this problem.
p is the regular price of the item: $81 for this problem.
d is the discount rate: 45% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 45% can be written as 45/100.
Substituting and calculating s gives:
[tex]s = 81 - (81 *\frac{45}{100}) \\s = 81 - (36.45)\\s = 44.55[/tex]
s = $44.55
Hence, for this problem there are $44.55 Shen paid.
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Samon opened a bank account with 1. 25% imple interet. The total amount of interet Samon will earn after 20 year i $812. 50. What i the interet for one year?
162.5 is the simple interest for one year.
What does the term "simple interest" mean?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest.
Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
P = $812.50
T = 1 Year
S.I. = ?
R = 20
According to question,
S.I. = P * R* T/100
= 812.50 * 20 * 1/100
= 16250/100
= 162.5
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∠A=8x _6
∘
tart color #11accd, angle, A, end color #11accd, equal, tart color #11accd, 8, x, plu, 6, degree, end color #11accd \qquad \green{\angle B} = \green{4x 38^\circ}∠B=4x _38
∘
The measure of angle A and angle B is equal to 70° as per the given relation of both the angles.
As given in the question,
Given measure of angle A is equal to ( 8x + 6 )°
Given measure of angle B is equal to ( 4x + 38 )°
Given condition :
Measure of both the angles are equal to each other
Measure of ∠A = Measure of ∠B
⇒ ( 8x + 6 )° = ( 4x + 38 )°
Now simplify the above equation to get the value of x
⇒(8x - 4x)° = (38 -6)°
⇒4x°= 32°
⇒x = 32°/4
⇒x = 8°
Measure of ∠A = 8(8) + 6
= 70°
Measure of ∠B = 4(8) +38°
= 70°
Therefore, the measure of both the angles A and B is equal to 70°.
The complete question is:
The measure of ∠A = (8x + 6)° , measure of ∠B = ( 4x+ 38)° and both are equal to each other. Find the measure of each angle?
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What is the value of 24 + x ÷ 12 when x = −180?
17
9
−13
−178
The value of the expression 24 + x ÷ 12 as required to be evaluated when the variable, x = -180 as required in the task content is; 9.
What is the value of the given expression for which x = -180?It follows from the task content that given expression is required to be evaluated for its value when the variable, x = -180.
Since the given expression is; 24 + x ÷ 12.
It follows that when the variable, x is given as; x = -180; we have that;
24 + ( -180 ) ÷ 12
Following from PEMDAS guidelines in which case;
P = ParenthesesE = ExponentM = MultiplicationD = DivisionA = AdditionS = SubtractionTherefore, we have that;
24 + ( -180 / 12 )
= 24 + ( -15 )
= 24 - 15
= 9.
Upon evaluation, by means of the PEMDAS guidelines in which case; Parentheses, Exponents, Multiplication, Division , Addition and Subtraction are solved in order; the value of the expression is; 9.
Therefore, the required value of the expression; 24 + x ÷ 12; as required to be evaluated according to the given parameter; x = -180 is; 9.
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. The law firm assigned a total of 16 lawyers to the case and was able to charge the client $11800 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of associates assigned in the case is 7.
The number of partners assigned in the case is 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Number of associates = m
Cost of each associates = $400
Number of partners = n
Cost of each partner = $1000
Now,
Total number of lawyers = 16
Total amount charged = $11800
Now,
m + n = 16
m = 16 - n
400m + 1000n = 11800
Putting m = 16 - n.
400(16 - n) + 1000n = 11800
6400 - 400n + 1000n = 11800
6400 + 600n = 11800
600n = 11800 - 6400
600n = 5400
n = 5400/600
n = 9
Now,
m = 16 - n
m = 16 - 9
m = 7
Thus,
The number of associates assigned in the case is 7.
The number of partners assigned in the case is 9.
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Whitch ones correct
A b c or d
Answer:
A. y = -1/2 x + 3/2
Step-by-step explanation:
An x-intercept of 3 means point (3, 0).
The line passes through points (3, 0) and (-5, 4).
y = mx + b
m = (4 - 0)/(-5 - 3) = 4/(-8) = -1/2
y = -1/2 x + b
0 = -1/2 × 3 + b
b = 3/2
y = -1/2 x + 3/2
When we reject the null and the null is true, we have a made a _________ __________.
When we reject the null and the null is true, we have a made a TYPE 1 ERROR
A null hypothesis is either true or false. Unfortunately, we do not know which is the case, and we almost never will. It is important to realize that there is no probability that the null hypothesis is true or that it is false, because there is no element of chance. For example, if you are testing whether a potential mine has a greater gold concentration than that of a break-even mine, the null hypothesis that your potential mine has a gold concentration no greater than a break-even mine is either true or it is false; you just don’t know which. There is no probability associated with these two cases (in a frequentist sense) because the gold is already in the ground, and as a result there is no possibility for chance because everything is already set.
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Which graph represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3?
number line with closed circle on point negative 9.3 and arrow shaded to the right
number line with open circle on point negative 9.9 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the right
The graph that represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3 number line with a closed circle on point negative 3.2 and arrow shaded to the left
What is the graph?Generally, To solve this inequality, we can start by multiplying both sides by the reciprocal of 0.3, which is 3. Doing so gives us the inequality:
−0.96 * 3 >= x * 0.3 * 3
Simplifying the right side gives us:
−0.96 * 3 >= x * 0.9
Then we can simplify both sides further:
−2.88 >= x * 0.9
Dividing both sides by 0.9 gives us:
−3.2 >= x
The solution to this inequality is all values of x that are less than or equal to -3.2.
The graph of this inequality would be a number line with a solid dot at -3.2, and a solid line extending to the left of -3.2, as shown below:
(graph with number line and solid dot at -3.2, and solid line extending to the left)
This graph represents the solution to inequality.
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Find the equation of the line shown
Answer:
y = -x - 4
Step-by-step explanation:
y = mx + b is slope intercept form,
where m is the slope, and b is the y-intercept.
As we can see from the picture, the line has a negative slope of 1 (we can also just say -1). We know this is the slope because it has a rise of -1 and a run of -1. (I hope that made sense lol :/)
[Side note, we use x instead of 1.]
The y-intercept is -4 since we can see the line passes through the y-axis at -4.
Therefore, the equation can be written as y = -x - 4
. Thirty dollars is divided among 8 persons according to the following rules . Each person gets at least $1 • At least one person gets more than $5 • At least four persons gets more than $1 • Each person gets and exact amount of dollars. What is the largest amount that a person can receive? 4) $13 (B) $15 (C) $17 (D) $19 (E) $23
The greatest amount that a person can receive is 19$. Option D
What is word problem?A word problem is a mathematical exercise which is in the form of a hypothetical question that needs mathematical analysis and equations to be solved.
Total amount = $30
Total number of people = 8
According to the problem, each person gets at least 1$ and also exact amount.Let's consider only one person gets more than 5$ because, we have to find the greatest value.
4 people get more than 1$,that includes the person who gets the maximum amount.
Let the person who gets maximum amount =x
x + 2+2+2+1+1+1+1
Maximum amount = 30- (2+2+2+1+1+1+1+1)= 11$
Hence, the maximum amount will be 19$.
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Using logarithmic properties, what is the solution to log4(y – 9) + log43 = log481? Show all necessary steps.
The rules of logarithms, which are derived from the exponent rules, are what make up the attributes of log. The solution is 36.
Find the solution ?The rules of logarithms, which are derived from the exponent rules, are what make up the attributes of log.
These logarithm features are used to simplify logarithmic expressions and solve logarithmic problems.
solution to log4(y – 9) + log43 = log481.
log4 (y − 9) + log4 3 = log4 81
We know that log a(b) + loga ( c) = loga ( b*c)
log4 (y − 9) * 3 = log4 81
We know have log a( BC ) = loga ( d)
This means BC = d
(y − 9) * 3 = 81
Divide each side by 3
y - 9 = 81/3
y - 9 = 27
Add 9 to each side
y-9+9 = 27+9
y = 36
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Answer:
y = 36
Step-by-step explanation:
STEP 1:
The given equation is
log4(y – 9) + log4(3) = log4(81)
STEP 2:
log4(y – 9)(3) = log4(81)
STEP 3:
log4(3y - 27) = log4(81)
STEP 4:
3y - 27 = 81
+27. +27
STEP 5:
3y = 108
__ ____
3. 3
STEP 6:
y = 36
Using a given zero to write a polynomial as a product of linear factors: Real zeros
For the polynomial below, -1 is a zero.
g(x)=x³ + 3x² - 7x − 3
Express g(x) as a product of linear factors.
g(x) =
We can not write the polynomial g(x) as a product of linear factors.
What is polynomial?
Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents (No division operation by a variable).
Given:
g(x)=x³ + 3x² - 7x − 3 and x = -1 is a zero of g(x).
Since, if x = a is a zero of the polynomial then (x - a) is a factor of polynomial.
Here (x - (-1)) = (x + 1) is a factor of g(x).
First to check x = -1 is a zero of polynomial or not.
Plug x = -1 in g(x).
g(-1) = (-1)^3 + 3(-1)^2 - 7(-1) - 3
g(-1) = -1 + 3+ 7 - 3
g(-1) = 6
g(-1) ≠ 0
Hence, we can not write the polynomial g(x) as a product of linear factors.
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somebody explain pls!!!!!
Step-by-step explanation:
Using log properties
[tex] log_{7}(rz {}^{12} ) [/tex]
[tex] log_{7}(r) + log_{7}(z {}^{12} ) [/tex]
Then
[tex] log_{7}(r) + 12 log_{7}(z) [/tex]
Plug in the knowns
[tex] - 7.87 + 12( - 12.59)[/tex]
[tex] - 158.95[/tex]
pls help due now!!!!!!!!!!!
Answer:
B. x = 3
Step-by-step explanation:
3³ = 27
3 · 3 · 3 = 27
9 · 3 = 27
Please help me before my assignment is due
Answer:
Step-by-step explanation:
P+N+2Q=?
P= Pennies
N= Nickels
Q= Quarters
Section
B
Determine whether the ordered pair
on the graph.
lies
1) (-3, 4): y = -2x +1
2) (2, 9): y = 6x-3
3) (4,3): 2x-5y = -7
4) (-5, 6): -8x +4y=10
5) (-1,0): -4y = 2x +3
6) (0₁-2): 6y=x+3
(4,3): 2x-5y = -7 is the ordered pair on the graph lies.
Define ordered pair.An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers. The coordinates of one point in the coordinate system are included in an ordered pair. An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point.
Given
We enter the values of the variables into each equation to see if an ordered pair is a solution to the system of two equations. The ordered pair is the system's solution if it makes both equations true.
For this,
(4,3): 2x-5y = -7
Equating values,
2(4) - 5(3)
8 -15
-7
(4,3): 2x-5y = -7 is the ordered pair on the graph lies.
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Solve the equation -2 (x + 4) + 3x = x -8
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3204 to rent trucks plus an additional
fee of $75.25 for each ton of sugar. The second company does hot charge to rent trucks but charges $275.50 for each ton of sugar.
Answer:
the first company would be cheaper because it has a lower total cost.
Step-by-step explanation:
To determine which company is more cost-effective, you will need to compare the total costs for each company based on the amount of sugar being transported.
If the first company is used, the total cost for transporting x tons of sugar will be 3204 + 75.25x dollars.
If the second company is used, the total cost for transporting x tons of sugar will be 275.50x dollars.
To determine which company is cheaper for a given amount of sugar, you can compare these two equations by setting them equal to each other and solving for x.
For example, if you want to transport 100 tons of sugar, you can set the two equations equal to each other and solve for x:
3204 + 75.25x = 275.50x
Solving for x, we get: x = 3204 / (75.25 - 275.50) = 107.8 tons
This means that if you want to transport 100 tons of sugar, the first company would be cheaper, because it costs less than the second company for any amount of sugar greater than 107.8 tons.
If you want to transport a different amount of sugar, you can repeat this process to determine which company is cheaper.
the government plans to build a new dam shaped like a rectangular prism. The base is 1,224 feet long and 660 feet wide. The dam will be 726 feet high. Ignore the spaces within the dam that will be hollow to hold machinery. If the dam were made of solid concrete, how many cubic feet of concrete would be needed. please help
The number of cubic feet of concrete that would be needed is 586491840 cubic feet
How to determine the number of cubic feet of concrete that would be neededFrom the question, we have the following parameters that can be used in our computation:
Base = 1224 feet longBase = 660 feet wideDam = 726 feet highThese parameters can be represented using the following notations
Length = 1224 feetWidth = 660 feetHeight = 726 feetThe number of cubic feet of concrete that would be needed is the volume of the dam
So, the number of cubic feet of concrete that would be needed can be calculated using the following volume equation
The number of cubic feet of concrete that would be needed = Length x Width x Height
Substitute the known values in the above equation, so, we have the following representation
The number of cubic feet of concrete that would be needed = 1224 * 660 * 726
Evaluate
The number of cubic feet of concrete that would be needed = 586491840
Hence, the cubic feet is 586491840
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How doe the anwer to each multiplication problem compare to the anwer to it correponding diviion problem
For instance, if the multiplication error is 8 x 7 = 56, then the matching division error 56/8 = 7, demonstrating that the result of the division is the other component that was used in the multiplication.
What is multiplication?Finding the product of two or more corresponding integers is done mathematically through the action of multiplication. It is frequently represented by the letters "x" or "*." In order to discover the result of multiplication, a multiplicand, also known as the multiplicand, is multiplied by a multiplier, also known as the multiplier. The result of the two integers, for instance, is 56 if the multiplicand and multiplier are both 8. A multiplication process always yields a greater number as the outcome than either of the initial factors. Multiply is also used to describe the process of adding a number to itself a certain number of times, as in "7 multiplied by 3 equals 21."
How to solve?
For instance, if the multiplication error is 8 x 7 = 56, then the matching division error 56/8 = 7, demonstrating that the result of the division is the other component that was used in the multiplication.
This connection is true for every multiplication and division problem as long as the numbers are utilised consistently in both operations.
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Please help me I’ll give 50 points. Tysm
Answer:
[tex]\textsf{A)} \quad -1\dfrac{3}{20}y+4[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(11-9 \dfrac{3}{5}y\right)+\left(8 \dfrac{9}{20}y-7 \right)[/tex]
Remove the parentheses:
[tex]11-9 \dfrac{3}{5}y+8 \dfrac{9}{20}y-7[/tex]
Collect like terms:
[tex]8 \dfrac{9}{20}y-9 \dfrac{3}{5}y+11-7[/tex]
Subtract the numbers 11 - 7:
[tex]8 \dfrac{9}{20}y-9 \dfrac{3}{5}y+4[/tex]
Factor out y:
[tex]\left(8 \dfrac{9}{20}-9 \dfrac{3}{5}\right)y+4[/tex]
Partition the mixed numbers into fractions and whole numbers, and then subtract them separately.
Subtract the whole numbers:
[tex]\implies 8-9=-1[/tex]
Subtract the fractions by changing both fractions into equivalent fractions so both fractions have the same denominator:
[tex]\implies \dfrac{9}{20}-\dfrac{3}{5}[/tex]
[tex]\implies \dfrac{9}{20}-\dfrac{3 \cdot 4}{5 \cdot 4}[/tex]
[tex]\implies \dfrac{9}{20}-\dfrac{12}{20}[/tex]
[tex]\implies -\dfrac{3}{20}[/tex]
Put the two answers from the whole numbers and fractions back together:
[tex]\implies -1-\dfrac{3}{20}=- \left(1+\dfrac{3}{20}\right)=-1\dfrac{3}{20}[/tex]
Therefore:
[tex]\left(8 \dfrac{9}{20}-9 \dfrac{3}{5}\right)y+4=\left(-1\dfrac{3}{20}\right)y+4=-1\dfrac{3}{20}y+4[/tex]
your recipe for oatmeal cookies calls for 3 pounds 3 ounces of oats, you have a 25 pound bag. how many times can you make this recipe?
We can make 19 oatmeal cookies from the bag.
1 pound = 16 ounces
for making a single unit of oatmeal cookie it uses 21 ounces of oats.
We have 25 pound of oats in the bag which means we have 25 X 16 which is equal to 400 ounces of oats in the bag .
To find how much of oatmeal cookies can be made we have to divide the total amount of oats available in the bag divided by the number of ounces required in making of the single unit of oatmeal .
Therefore,
= 400 / 21
= 19.047
Which means 19 overall pieces of oatmeal can be prepared in the 25 pound of oats bag
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help me in this one Please Please Please Please Please Please Please Please
Sam buys 10 tickets for $5
Sam spends $135 at fundraiser
S=
When Sam buys 10 tickets for $135 at fundraiser, the amount for each ticket will be $13.50.
How to illustrate the equation?It should be noted that an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, Sam buys 10 tickets for $135 at fundraiser, the amount for each ticket will be:
= $135 / 10
=$13.50
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Complete question
Sam buys 10 tickets for $135 at fundraiser. Calculate the amount for each ticket.
the table shows the proportional relationship between the number of computers a company sold, , and the profit that the company made, . The profit, , can be written in terms of , the number of computers sold. = _________________________________ What expression completes the equation? Explain how you found your answer. Write your answer in the space provided on your answer document.
The profit, y, can be written in terms of x, the number of computers sold. as y = 150x
How to determine the equation of the proportional relationship?The table that completes the question is added at the end of this solution as an attachment
From the question, we have the following parameters that can be used in our computation:
Amount of items sold = x
Profit made by the company = y
The equation of a proportional relationship is represented as
k = Y/X * h
Where
(X, Y) is the coordinate of any ordered pair from the function or table
Using the above as a guide, we have the following:
(X, Y) = (3, 450)
Substitute the known values in the above equation, so, we have the following representation
y = 450/3 * x
Evaluate the quotients in the equation
y = 150 * x
Evaluate the products in the equation
y = 150x
Hence, the equation of the proportional relationship is y = 150x
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a student scores 68 on a geography test and a 249 on a mathematics test. the geography test has a mean of 80 and a standard deviation of 10. the mathematics test has a mean of 300 and a standard deviation of 34. if the data in both tests are distributed equally, which test did the student do better one?
The student did better in the test of Geography.
What is Standard Deviation ?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
To solve this question, we will use the z-score formula to find the w test in which the student scored better. The z-score formula is;
z = (x - μ)/σ
Now, for Geography we have given :
Test score (x) = 68
Mean (μ) = 80
Standard deviation (σ) = 10
Thus, the z-score here will be :
z = (68 - 80)/10
z = -1.2
Similarly, for Mathematics we have given :
Test score (x) = 249
Mean (μ) = 300
Standard deviation (σ) = 34
Thus, the z-score here will be :
z = (249 - 300)/34
z = -1.5
Since the z-score for Geography is less than that of Mathematics, thus, we can conclude that the Geography test is the one in which the student scored better.
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When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters per year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.
How tall was the tree when Vlad moved into the house?
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
Answer:
here
Step-by-step explanation:
1. How tall was the tree when Vlad moved into the house?
292-26*4.5=175 cm
2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
175+26*x=357
357-175=182=26*x
x=7
hope this helped
here is a scatter plot for a set of bivariate data. what would you estimate the correlation coefficient to be?
You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
What is meant by scatter plot?The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.
Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.
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Please hurry
The width of a sandbox is represented by x+5 The length of the sandbox is double the width. Determine an expression that would represent the area of the sandbox. To earn full credit, show your work using a method explained in the Orientation.
Answer: (x+5)(2x+10)
Step-by-step explanation: Hope you find it helpful, I am in the rush so can't give you a full explanation on paper yet!
with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b)
This is incomplete question
Complete question is this:
With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0Choose the correct option:
Now, According to the question:
Hence, The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b).
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Find the possible values of x in the figure.
The possible values of x in the figure are given as follows:
x > 3/2.
How to obtain the possible values of x?The possible values of x are obtained verifying if the given dimensions form a triangle, and the condition is that the sum of the lengths of the two smaller sides has to be greater than the length of the greatest side.
For the triangle given in the image, the dimensions are given as follows:
Two smaller sides: 2x and 4x - 3.Larger side: 4x.Hence, applying the condition, the inequality to obtain the values of x is given as follows:
2x + 4x - 3 > 4x.
Then, solving the inequality, the possible values of x in the triangle are given as follows:
2x + 4x - 3 > 4x
2x > 3
x > 3/2.
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