The restaurant ordered small pictures and large pictures to decorate the restaurant. 6 times as
many small pictures were ordered as large pictures. If there were 25 large pictures, how many
more small pictures were ordered than large pictures?
Answers
Answer:
125
Step-by-step explanation:
25 x 6 = 150
150 - 25
Answer:
Step-by-step explanation:
y= -1/4x
Related Questions
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if m-n=3 and mn=10, then find the value of m²-n²
please♡♡♡♡♡♡♡♡
Answers
21
Step-by-step explanation:
m=5n=2
5-2=3
5×2=10
5²-2²=
25-4=21
hope it helps
What is the equation of the blue line?
Answers
The equation of the line (blue line) becomes: 4x + y = 3
What is the equation of line?The set of points that make up a line in a coordinate system are represented algebraically in the equation of the line. The equation of a line is just an algebraic equation which represents the several points that all together form a line there in coordinate axis as a set of variables x, and y.
A straight line has the equation y=mx+c, where c is the height at which the line crosses the y-axis, commonly known as the y-intercept, and m is the gradient.
As, it cut the point in the x-axis at the point 4 and cut the y-axis at the point 1 and the intercept becomes 3.
Thus, the equation of the blue line becomes: 4x + y = 3
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which expression below is equivalent to 6/7x + 2 1/7 ?
A.3/7 (2x+5)
B.1/7(6x+2)
C.2/7(3x+4)
D.6/7(x+ 1 2/7)
Answers
Answer:
The choice A .
\( \frac{3}{7} (2x + 5)\)
Step-by-step explanation:
\(a. \: \frac{3}{7} (2x + 5) = \frac{6}{7} x + \frac{15}{7} = \frac{6}{7}x + 2 \frac{1}{7} \\ \\ \\ b. \: \frac{1}{7} (6x + 2) = \frac{6}{7} x + \frac{2}{7} \\ \\ \\ c. \: \frac{2}{7} (3x + 4) = \frac{6}{7} x + \frac{8}{7} = \frac{6}{7} x + 1 \frac{1}{7} \\ \\ \\ d. \: \frac{6}{7} (x + 1 \frac{2}{7} ) = \frac{6}{7} (x + \frac{9}{7} ) = \frac{6}{7} x + \frac{54}{49} \)
I need help with this question
Answers
Where the daily growth factor is 1.15 and the starting height in inches is 7.
What is function?a. Given by, the function that calculates the height of the beanstalk in relation to the time since Gregory planted it.
\(f(t) = 7(1.15)^t\)
where the daily growth factor is 1.15 and the starting height in inches is 7.
B). The following ratios can be calculated using the formula from section (a):
f(1)/f(0) = (71.15¹)/(71.15⁰) = 1.15
f(2)/f(1) = (71.15²)/(71.15¹ = 1.15
f(1)/f(1) = (71.15¹)/(71.15¹) = 1
\(f(9.56)/f(8.56) = (71.15^{9.56})/(71.15^{8.56})\) ≈ 1.15
\(f(8.56)/f(8.55) = (71.15^{8.56})/(71.15^{8.55})\) ≈ 1.15
c. For the any value of z, we have:
\(f(z+1)/f(z) = (71.15^{(z+1)})/(71.15^z)\) = 1.15
and
\(f(z)/f(z-1) = (71.15^z)/(71.15^{(z-1)})\) = 1.15
For question 6:
a. As a increases throughout the function's domain, f(z) [Select an answer]
Since the base of the exponential function is less than 1 (0.69 < 1), as x increases, f(x) will approach 0.
b. The 1-unit growth factor of f is
The 1-unit growth factor for f is 0.69, since f(x+1)/f(x) = 0.69.
c. The -unit growth factor of f is
The 1/2-unit growth factor for f is (0.69)¹/₂, since f(x+1/2)/f(x) = (0.69)¹/₂.
d. The 6-unit growth factor of f is
The 6-unit growth factor for f is (0.69)⁶, since f(x+6)/f(x) = (0.69)⁶.
e. The 6-unit percent change of f is
The 6-unit percent change for f is ((0.69)^6 - 1) * 100%, which is approximately -38.77%.
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The interval [0,3] is partitioned into n equal subintervals, and a number xi is arbitrarily chosen in the ith subinterval for each i. Then lim n -> infinity n E i=1 (6xi-3)/n
Answers
The limit of the sum (6xi-3)/n as n approaches infinity is 9, which means that as the number of subintervals in the interval [0,3] becomes larger and larger, the sum of the values (6xi-3)/n approaches 9.
The limit is a concept in mathematics that helps us understand what happens as a function or a sequence approaches a certain value.
In this particular problem, we are looking at the limit of a sum of values as the number of subintervals in the interval [0,3] approaches infinity.
The interval [0,3] is divided into n equal subintervals and a number xi is chosen arbitrarily in the ith subinterval. We then look at the sum of the values (6xi-3)/n for all n subintervals.
Mathematically, we can write this sum as:
S = (6xi-3)/n for i = 1, 2, ..., n
And the limit of S as n approaches infinity can be written as:
lim n -> infinity S = lim n -> infinity (6xi-3)/n
Now, we use the concept of a Riemann Sum to evaluate the limit of this sum. A Riemann Sum is a way of approximating the area under a curve by breaking it down into rectangles and summing their areas.
In our case, we can think of the sum S as a Riemann Sum for the function f(x) = 6x-3 over the interval [0,3]. As n approaches infinity, the width of the subintervals approaches 0, and the sum S approaches the definite integral of f(x) over [0,3].
Using the fundamental theorem of calculus, we can find the definite integral of f(x) over [0,3] as:
∫f(x)dx = 6x^2/2 - 3x evaluated from 0 to 3
And this value is 9, so the limit of S as n approaches infinity is 9.
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the number y is 8 less than 2 times another number x, their sum is 7
Answers
The two numbers given by the algebraic expressions are x = 5 and y = 2.
What is system of equation?A system of equations is a set of two or more equations that are to be solved simultaneously. In other words, a system of equations represents multiple relationships between variables that need to be solved for at the same time. A system of equations can be solved using various methods, such as substitution or elimination. The goal of solving a system of equations is to find the values of the variables that satisfy all of the equations in the system. One common method for solving systems of linear equations is called Gaussian elimination, which involves manipulating the equations in the system to eliminate one variable at a time until a solution is found.
Let us suppose the numbers as x and y.
From the given statement the mathematical expression can be set as:
y = 2x - 8
x + y = 7
Now. substituting the value of y in equation we have:
x + (2x - 8) = 7
3x - 8 = 7
3x = 15
x = 5
Now, for x = 5 the value of y is:
y = 2(5) - 8
y = 2
Hence, the two numbers are x = 5 and y = 2.
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The complete question is:
The number y is 8 less than 2 times another number x, their sum is 7. Find the number.
If the image is rotated about the x-axis, which of the following images best represents the result?
A. Y
B. Z
C. X
D. W
Answers
The images best represents the result is image W.
We have, the image is rotated about the x-axis.
Now, rotating around x axis can give the other half of the image.
Also, rotating about x axis gives the mirror image of the figure.
So, the rotation leads to a circle.
and, In three dimensional we can say that Sphere.
Thus, the required image is W.
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P
N
0
O A. m2 MOP = 62
m2 NOP= 62
B. mz MOP = 61
m 2 NOP = 61
O C. m MOP = 48
m2 NOP = 72
D. m2 MOP= 122
m2 NOP = 122
Answers
Answer:
MOP = 62
NOP = 62
Step-by-step explanation:
sorry the answer is tilted
the perimeter of a rectangle is 32 in
Answers
The perimeter of a rectangle is given by the formula
\(\begin{gathered} P_{rec\tan gle}=\text{ 2(L+B)} \\ \text{where L is the length and B is the breadth} \end{gathered}\)From the question, we were given the perimeter P=32inches and the length L=11inches
To calculate for the unknown length, which is the breadth, we substitute the value of P and L into the formula
\(\begin{gathered} P_{rec\tan gle}=2(L+B) \\ \text{Make B the subject of the fomula} \\ \frac{P}{2}=\frac{2(L+B)}{2} \\ \frac{P}{2}=L+B \\ B=\frac{P}{2}-L \end{gathered}\)\(\begin{gathered} B=(\frac{32}{2}-11)\text{inches} \\ B=(16-11)\text{inches} \\ B=\text{ 5inches} \end{gathered}\)Hence, the unknown side is 5inches
The Peel District School Board is one of Canada's largest public school boards. It serves the 776 square kilometers of Peel Region with schools in Mississauga, Brampton and Caledon. Peel District School Board serves a total of 232 schools; 196 elementary and 35 secondary schools. Enrolment in September 2007 was 105,549 elementary students and 44,068 secondary students. The Board currently employs 9,900 academic staff and 3,300 business and support staff. It hired more than 850 new teachers in 2006-07 to keep up with rising enrolment and replace retiring teachers. As HR analyst for the PDSB, your focus is the organization's Secondary School Division. You need to determine (1) the total number of positions that will require replacement over the next one-year period and (2) the impact these opening will have on the current employees' movements throughout the division. The PDSB has a strong "promote from within" policy for all vacancies above the entry level. The Secondary School Division does not have any personnel in authority levels 1 or 2. The most senior position in the Secondary School Division is at Level 3 (Secondary Division Superintendent). Based on information from the Board's enrolment system and HRIS, you know the following: 1. Historical annual loss rates include the following: a. Retirements (requiring replacements): Levels 3 and 4 = none. Level 5 = 5% of positions at start of period. Levels 6, 7 and 8 = 10% of positions at start of period. b. Attrition (voluntary and involuntary exits): Levels 3 and 4 = none. Levels 5 and 6 = 3% of positions at start of period. Levels 7 and 8 =2% of positions at start of period. 3. The number of positions at the start of the 2006-07 school year are as follows:Level 1 (Director) = 1 Level 2 (Assistant Director) = 4 Level 3 (Secondary Division Superintendent) = 1 Level 4 (Area Superintendent) = 5 Level 5 (Principal) = 35 = Level 6 (Vice Principal) = 105 Level 7 (Department Head) = 350 Level 8 (Teacher) = 2410 Your task: 1. Use the information above to calculate the number of positions to be filled in the next year. Show your calculations and results in the first table form provided. An example is provided on page 153 of the textbook. 2. Use the information from the "Positions to be filled" column of the first table to complete the second table form. Show the number of employee movements caused by promotions to fill the identified vacancies. See the example on page 153 of your textbook. Organize the numbers in columns like the example
Answers
the task is to ensure that the PDSB can effectively manage its personnel requirements and maintain its policy of promoting from within.
As an HR analyst for the Peel District School Board (PDSB), the task is to determine the number of positions that will require replacement over the next year and the impact these openings will have on current employees' movements throughout the Secondary School Division. The PDSB has a policy of promoting from within for all vacancies above the entry-level, and the Secondary School Division does not have any personnel in authority levels 1 or 2.
Based on historical annual loss rates, retirements and attrition rates have been determined for each level. The number of positions at the start of the 2006-07 school year has also been provided.
To calculate the number of positions to be filled in the next year, we can use the information provided and apply the relevant rates for retirements and attrition. The number of positions at the start of the year is subtracted from the total number of positions to arrive at the number of positions to be filled. This calculation is done for each level, and the results are tabulated in the first table.
Once the number of positions to be filled has been determined, the next step is to calculate the impact on current employees' movements. This is done by determining the number of promotions required to fill the vacancies and the resulting vacancies at the lower level. These calculations are tabulated in the second table, and the numbers are organized in columns.
Overall, the task is to ensure that the PDSB can effectively manage its personnel requirements and maintain its policy of promoting from within. By analyzing the historical loss rates and current personnel numbers, the organization can plan for the future and ensure that it has the right staff in the right positions to meet its goals.
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damian bought a new game station for $774 using the stores zero intrest finace plan. He will pay$43 a month for 18 months. Which equation csn he use ti fund out how much money he still owes
Answers
The equation Damian can use to found out how much money he still owes is -
y = - 43x + 774
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
Damian bought a new game station for $774 using the stores zero interest finance plan. He will pay $43 a month for 18 months.
We can represent the equation he can use to found out how much money he still owes using a straight line as follows -
y = 774 - 43x
y = - 43x + 774 [x] is the number of month
Therefore, the equation Damian can use to found out how much money he still owes is -
y = - 43x + 774
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triangle QRS is reflected across the y axis to create triangle Q'R'S' complete the rule that describes the coordinates of triangle Q'R'S' after the reflection has occurred
Answers
To reflect a point or a shape across the y-axis, the x-coordinates of each point must be negated. Therefore, the coordinates of triangle Q'R'S' after the reflection would be (-x, y) for point Q', (-x, y) for point R', and (-x, y) for point S'.
What is the rationale for the above response?When reflecting a point or a shape across the y-axis, each point's x-coordinate is negated, while its y-coordinate remains the same. The y-axis is a vertical line that passes through the origin, which is at (0, 0).
Thus, when reflecting triangle QRS across the y-axis to create Q'R'S', the x-coordinates of each point must be negated. Therefore, the new coordinates of each point will be (-x, y) to reflect it across the y-axis.
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The transformation rule that describes the coordinates of triangle Q'R'S' after the reflection has occurred is: (x, y) → (-x, y)
How to find the transformation rule?The transformation rule for describing the reflection of the given figure QRS is as follows:
If the coordinate of each point of the triangle is (x, y), then, after the reflection across the y-axis the new coordinates will become:
(x, y) → (-x, y)
This means that the rule for reflecting over the y-axis is to negate the value of the x-coordinate of each point, but leave the -value the same
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An object is thrown upward from the top of a 64-foot building with an initial velocity of 48 feet per second. The height h of the
object after t seconds is given by the quadratic equation h= -16t² +48t+ 64. When will the object hit the ground?
The object will hit the ground when the time is how many seconds..
Answers
The object will hit the ground after 4 seconds.
We have,
The object will hit the ground when its height is zero.
So we need to solve the equation:
h = -16t² + 48t + 64 = 0
We can simplify this equation by dividing both sides by 16:
-t² + 3t + 4 = 0
To solve for t, we can use the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
where a = -1, b = 3, and c = 4.
Plugging in these values, we get:
t = (-3 ± √(3² - 4(-1)(4))) / 2(-1)
t = (-3 ± √(9 + 16)) / -2
t = (-3 ± √(25)) / -2
t = (-3 ± 5) / -2
We get two possible solutions:
t = -1 and t = 4.
Since time cannot be negative, we can discard the negative solution.
Therefore,
The object will hit the ground after 4 seconds.
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a + b=c make (a) the subject with working
Answers
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Javon is helping his dad build a tree house. He has a piece of trim that is 11 feet long.
How many pieces can Javon cut that are 1 yard long?
How much of a yard will he have left over?
Answers
Answer:
Step-by-step explanation:
1 yard = 3 feet
11 feet * (1 yard)/(3 feet) =11/3 yards = 3⅔ yards
Javon can cut three one-yard pieces. ⅔ yard is left over.
PLEASE PLEASE HELP IM RLLY STRUGGLING HERE
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answers
Answer:
Answer: the equivalent form of 6(2x+3x+10) are 12x+18x + 60 and 30x+60.
Step-by-step explanation: Create a factorable polynomial with a GCF of 6. GCF is 6. ...
12x+18x + 60 is one of the equivalent form of 6(2x+3x+10) To get another equivalent form we combine like terms. ...
30x + 60 is the equivalent form of 6(2x+3x+10)
Step-by-step explanation:
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ex What factors do 12 and 24 have in common? 1, 2, 3, 4, 6, 12
Answers
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
All these numbers are common factors of 12 and 24 because you can divide each one by all of the factors
ex. 12/3 = 4
24/3 = 8
if you don't get a decimal answer, then it is a factor of these numbers
How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answers
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
For what value of x does 3^2x = 9^3x-4?
O 1
O 2
O 3
O 4
Answers
the answer x=2 hope it helps :D
Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
Answers
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. Day of Week n x bar s Sunday 45 86.48 34.89 Monday 45 109.29 27.37 Tuesday 45 110.96 28.64 Wednesday 44 115.03 31.68 Thursday 44 114.97 33.26 Friday 45 108.58 32.22 Saturday 45 87.07 38.56 Overall 313 104.56 34.25 Computer output from the analysis is provided: One-way ANOVA: Electricity versus Day of Week Source DF SS MS F P Day of Week 6 41646 6941 6.55 0.000 Error 306 324428 1060 Total 312 366073 What is the decision on the hypothesis test and why
Answers
Answer:
Since p-value > ∝, H0 is accepted
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic P-value
of Square Square
Groups 6 191.61 31.935 0.020 0.999
(b/w groups)
Error
(within 14 21736.08 1552.577
groups)
Total 20 21927.69 1096.385
1. H0 hypothesis
Since p-value > ∝, H0 is accepted.
Hence the averages of all groups considered to be equal.
Or the difference between the averages of all groups is not big enough to reject H0.
2. P-value
P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e (99.99%)
The bigger p-value supports H0.
3. The statistics
The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]
Find the missing value in the ratio table.
Answers
100000000000000000000
combine like terms to find the answer.
Answers
Answer: 9m + 5y + 1
Step-by-step explanation:
3 + 6m + -2y - 2 + 3m + 7y
3 + -2 = 1
1 + 6m + -2y + 3m + 7y
-2y + 7y = 5y
1 + 6m + 5y + 3m
6m + 3m = 9m
9m + 5y + 1
Answer:
1+9m+5y
Step-by-step explanation:
Find each matrix below. If a matrix is not defined, click on "Undefined".(b)BA (c)B²
Answers
Given the matrices A and B below:
\($A=\mleft[\begin{array}{cc}2 & 0 \\ -3 & 3\end{array}\mright]$,$B=\mleft[\begin{array}{cc}-1 & -3 \\ 0 & 2\end{array}\mright]$\)Part B
\(\begin{gathered} BA=\mleft[\begin{array}{cc}-1 & -3 \\ 0 & 2\end{array}\mright]\mleft[\begin{array}{cc}2 & 0 \\ -3 & 3\end{array}\mright] \\ $=\mleft[\begin{array}{cc}(-1\times2)+(-3\times-3) & (-1\times0)+(-3\times3) \\ (0\times2)+(2\times-3) & (0\times0)+(2\times3)\end{array}\mright]$ \\ $=\mleft[\begin{array}{cc}-2+9 & 0-9 \\ 0-6 & 0+6\end{array}\mright]$ \\ $BA=\lbrack\begin{array}{cc}7 & -9 \\ -6 & 6\end{array}\rbrack$ \end{gathered}\)Part C
\(\begin{gathered} $B=\mleft[\begin{array}{cc}-1 & -3 \\ 0 & 2\end{array}\mright]$ \\ \implies B^2=\mleft[\begin{array}{cc}-1 & -3 \\ 0 & 2\end{array}\mright]\mleft[\begin{array}{cc}-1 & -3 \\ 0 & 2\end{array}\mright] \\ =\mleft[\begin{array}{cc}(-1\times-1)+(-3\times0) & (-1\times-3)+(-3\times2) \\ (0\times-1)+(2\times0) & (0\times-3)+(2\times2)\end{array}\mright] \\ =\mleft[\begin{array}{cc}1+0 & 3-6 \\ 0+0 & 0+4\end{array}\mright] \\ \implies B^2=\mleft[\begin{array}{cc}1 & -3 \\ 0 & 4\end{array}\mright] \end{gathered}\)
Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.
Answers
the correct option is D:
" The inverse relation must pass the vertical line test."
Which is one condition that must be present for an inverse relation to be a function?
Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.
All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.
From this we conclude that the correct option is D:
" The inverse relation must pass the vertical line test."
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Point a (2,2) and d (-4,-3) are located on a grids what measurement is closest to the distance between point a and point d
Answers
Answer:
6 or 7
Step-by-step explanation:
Answer:
oh yo tuff
dfssfc dsfv ddfs f wqd waf sg
Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?
Answers
Answer:
Elgas is 35.
Step-by-step explanation:
Let's set up an equation.
Alvin is 7 years younger than Elgas.
A = E - 7
The sum of their ages is 63.
A + E = 63
Let's use substitution.
Plug in the first equation of A into the second equation.
A + E = 63
(E - 7) + E = 63
Combine like terms.
2E - 7 = 63
Add 7 to both sides.
2E = 70
Divide both sides by 2.
E = 35
Elgas is 35.
Hope this helps!
consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells
a. how many degrees of freedom are there in determining the A variation and the factor B variation
b. how many degrees of freedom are there in dreaming the interaction variation
c. how many degrees of freedom are there in determining the random variation
d. how many degrees of freedom are there in determining the total variation
Answers
In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.
What is a two-factorial design?A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.
Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.
From the data given:
a.
In calculating the factor A variation, there are two degrees of freedom.
In determining the variation of factor B, there are two degrees of freedom.
b.
Finding the degree of freedom using the interaction variation, there are four degrees of freedom.
c.
In finding the random variable, there are 9(4-1) = 27 degrees of freedom.
d.
In calculating the total variable, there are 9*4-1 =35 degrees of freedom.
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The ________ is the actual population of individuals, or clusters, from which a random sample will be drawn.