Answer:
10. 23.7 m^2
11. 39.25 cm^2
12. 74.4 mm^2
13. 12.96 mm^2
Step-by-step explanation:
Answer:
10. 23.7 m^2
11. 39.25 cm^2
12. 37.2 mm^2
13. 25.92 mm^2
Step-by-step explanation:
10. 7.9 x 6 = 47.4 m.
47.4/2 = 23.7 m.
A = 23.7 m.
11. A = a+b/2 x h
8.5 + 7.2 = 15.7
15.7/2 = 7.85
7.85 x 5 = 39.25
A = 39.25 cm.
12. A = bh
18.6 x 4 = 37.2
A = 37.2 mm.
13. A = bh
3.6 x 2 = 7.2
1.8 x 2 = 3.6
7.2 x 3.6 = 21.6 + 4.32 = 25.92
A = 25.92 mm.
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answer:
25 used games
Step-by-step explanation:
Divide his money by the price for one used game
300/12
25
Answer:
y=0
12x=300
X=300/12
X=25
he can buy 25 used games .
Step-by-step explanation:
Melissa weighed 14 packages. Their mean weight was 3 pounds. What was the total weight of the 14 packages?
pounds
The total weight of the 14 packages that Melissa weighed is gotten as; Total weight = 42 pounds
How to calculate mean?We are given;
Mean weight = 3
Now,formula for mean is;
Mean = total/sample size
We are given;
Sample size = 14
Thus;
3 = total/14
Total = 3 * 14
Total weight = 42 pounds
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HELLLPPPPPPP!!!!!!
Is the statement below true or false? Explain.
If constructing a flowchart proof is difficult, then a direct proof should be used instead.
A. The statement is true. A direct proof is similar to a flowchart proof.
B. The statement is false. If a flowchart proof is difficult to construct, then an indirect proof should be used.
C. The statement is false. If a flowchart proof is difficult to construct, then the statement to be proven must be false.
D. The statement is false. If a flowchart proof is difficult to construct, then a two-column proof should be used.
Answer:
1. C and D
line and point
2. D
The statement is false. A conjecture is proven through deductive reasoning
3. A
14/(-3)=-112
4. B and C
17*0=017*0=0
5*(-4)=-20
5. B
1
6. 1. Given, 2. Distributive Property of Equality 3. Addition Property of Equality 4. Division Property of Equality
7. A
3
8. A
Parallelograms have two pairs of equal angle measurements. For instance, Parallelogram 1 has angle pairs measuring 80°80° and 100°100°.
9. B
The statement is false. If a flowchart proof is difficult to construct, then a two-column proof should be used.
10. B
A long-term goal when writing a proof would be to prove a statement. A short-term goal would be to apply a postulate or theorem that helps to prove the statement.
11. C and B
1 and 4
2 and 3
12. B
Yes, L and V are vertical angles.
13. 39
14. B
Only Amy proved the theorem because she used postulates and theorems to construct a logical argument to show that the interior angles in a triangle add up to 180°180°.
15. C and D
a and c
16. 37
17. 65
Step-by-step explanation:
Answer:
Answers
Step-by-step explanation:
1 point and line
2The statement is false a conjecture is proven through deductive reasoning
31/4 devided by (-3)=-1/12
4 5x(-4)=20 and 17x0=0
5 Ricky is not necessarily correct as inductive reasoning does not yield certain truths
6 The known people oval should extend outside of the kind of people oval to model that James has met unkind people as well
7 Grace is correct she has correctly implemented syllogism
8AB can be bisected this would be modeled buy a circle labeled AB inside of a circle line segment which intern is within a circle labeled can be bisected
9 1 given 2 distributive property of equality 3Addition property equality 4 division property equality
10 The statement is false if a flow chart proof is difficult to construct then a two column Proof should be used
11 1 and 4, 2 and 3
12 yes L and V are virtical angles
13 39
14 Only Amy proved that your room because she used postulates and theroms to construct a logical argument
15 c and a (the letters)
16 37
17 65
13 For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a
coordinating response. Be sure to clearly label each part of your response as Part A Part B, and Part C.
Part A: Jamal has $35 to spend at the mall. If pairs of shorts are $9.99, how many can he buy?
Part B: Round your answer to an appropriate number.
Part : In a short paragraph, explain in your own words your work for Steps A and B.
Answer:
35 / 9.99 = can buy 4 rounded
paragraph: To find how many pairs of shorts we can buy, we must divide our total money with the cost. We are diving because we need to find how many times 35 can go into 9.99 to find our number. 35 / 9.99 = 3.5035035035035. Our answer must be rounded now because shorts are in whole numbers and can't be in decimals. Take the tenth place of the decimal and round it to the nearest number. 5 is closer to 10 than 0 so we just round it to 4 and there is our answer.
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:
f(x) = 0.69(1.03)x
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the price f(t), in dollars, of product B after t years:
t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
Answer:
A) 3%
B) Product A
Step-by-step explanation:
Exponential Function
General form of an exponential function: \(y=ab^x\)
where:
a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Part A
Product A
Assuming the function for Product A is exponential:
\(f(x) = 0.69(1.03)^x\)
The base (b) is 1.03. As b > 1 then it is an increasing function.
To calculate the percentage increase/decrease, subtract 1 from the base:
⇒ 1.03 - 1 = 0.03 = 3%
Therefore, product A is increasing by 3% each year.
Part B
\(\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100\)
To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:
\(\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%\)
Check using different two consecutive values of f(t):
\(\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%\)
Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.
Although the question has not asked, we can use the given information to easily create an exponential function for Product B.
Given:
a = 10,100b = 1.01n = t - 1 (as the initial value is for t = 1 not t = 0)\(\implies f(t) = 10100(1.01)^{t-1}\)
To check this, substitute the values of t for 1 through 4 into the found function:
\(\implies f(1) = 10100(1.01)^{1-1}=10100\)
\(\implies f(2) = 10100(1.01)^{2-1}=10201\)
\(\implies f(3) = 10100(1.01)^{3-1}=10303.01\)
\(\implies f(4) = 10100(1.01)^{4-1}=10406.04\)
As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.
PQR ~MNO. What is the length of side QR?
The length of the QR is 16 cm when PQR ~MNO
In the given question, it is given that two similar triangles as PQR ~MNO
Then, the corresponding sides will be in equal proportion to each other as follows
PQ / MN = PR / MO = QR / NO
We need to find the length of the side QR
As above relations are given,
\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)
\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)
Equating all the fractions, equal to each we'll find
\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)
5x + 7 = 3(x +5)
5x + 7 = 3x + 15
2x = 8
x = 4
We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm
Therefore, the length of the QR is 16 cm when PQR ~MNO
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Find the perimeter. Simplify your answer.
Answer:
4s + 2
Step-by-step explanation:
The way we find the perimeter is we add up all the sides
s+1 + s + s+1 + s
Now we add up light terms and we get 4s+2 as our answer
Answer:
4s+2
Step-by-step explanation:
For perimeter we just have to add up all the sides.
So the equation would look like this:
s + s + (s+1) + (s+1)
There are 4 s variables and 1+1=2
So this can be simplified into :
4s+2
Hope this helps!
(Pls mark as brainiest)
Thanks!
to avoid an unbalanced lineup, the coach wants to choose 2 of her guards and 3 of her forwards/ centers. to do this, she places the names of her 5 guards in one hat and the names of her 7 forwards/centers in a second hat. then, she will randomly select 2 guards from the first hat and 3 forwards/ centers from the second hat.how many different lineups are possible?
There are 350 different lineups that can be created.
The question here is regarding the possibility of different lineups given that there are two groups of players available - guards and forwards/centers. The coach wants to choose 2 of her guards and 3 of her forwards/ centers. To avoid an unbalanced lineup, she places the names of her 5 guards in one hat and the names of her 7 forwards/centers in a second hat. Then, she will randomly select 2 guards from the first hat and 3 forwards/ centers from the second hat.
How many different lineups are possible?In order to get the different possibilities of lineups, we need to calculate the total number of ways we can select the guards and the forwards/centers separately.
Total number of ways to select guards =\(5C_2 = (5 \times 4) / (2 \times 1) = 10\)
Total number of ways to select forwards/centers = \(7C_3 = (7 \times 6 \times 5) / (3 \times 2 \times 1) = 35\)
Thus, the total number of ways the lineup can be created is 10 × 35 = 350.
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4•(2+5)^2 -5^2 how do I solve this?
Answer:
4•(2+5)^2 -5^2 = 171
Step-by-step explanation:
Do BIDMAS
(brackets, indices, division, multipy, add, sub)
so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps
Answer: Brackets => 4 x (7)^2 - 5^2
Indices/Orders => 4 x 49 - 25
Multiplication => 196 - 25
Subtraction => 171
A factory produces 10 cars every 3 hours
1. What is the dependent and independent variable
2. Explain how you know the variables are independent or dependent
3. Is the relationship linear or non linear? Explain your reason
4. Do you think that given enough information you could create a table,graph, and an equation for the function? Why or why not
5. What information would you need to make your table/graph/equation
Answer:
1)The dependent is the number of cars produced. The independent is the amount of time
2)I know that the number of cars produced is the dependent because it will change whenever the amount of time changes
3)This relationship is linear because as you get more time, you will get more cars
4)I could create a graph because I could plot down these points and find the slope
5) I would need a couple more points to plot
At the end of January, Garrett had $176 in his
savings account. By the end of February, he
had $217. To the nearest percent, what is the
percent change in the amount of money in
Garrett's savings account?
Answer:
bank account cant give me 5 bank name
A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $80, and the club is charging $10 per student that attends.
Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 100
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 100
The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance
How to know the graph?The parameters that will help us to determine the graph are
Decorations for the dance cost $80,
The club is charging $10 per student that attends
This forms a linear equation:
y = mx + b
y = 10x - 80
Plotting the graph:
That is the full solution of the equation
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There are 377 toys that Janet collected at the carnival. She wants to put them in 12 bags. After she splits them into bags, how many toys does she have left to give to her little brother?
Answer:
D. 31 toys.
Step-by-step explanation:
377 ÷ 12 =
31.41666666666667
377 toys
12 bags
to find:how many toys she'll have left to give her little brother.
solution:\( \frac{377}{12} \)
\( = 31.416666666\)
\( nearest \: whole \: number = 31\)
therefore, she'll have 31 toys left to give her little brother.
answer= option D
0.246446 to the nearest hundredth is?
Answer:
.25
Step-by-step explanation:
hundredth's is the second place over so you look the the 3rd number. 4 or less it stays the same 5 or more you add one
y is inversely proportional to x.
When =9, y = 8.
Find y when x= 6.
Answer:
y=12
Step-by-step explanation:
y is inversely proportional to x
y=k/x
k is a constant of proportionality
k=yx
y1x1=y2x2
8(9)=y2(6)
y2=8(9)/6
y2=12
plsss help mehhh...
Step-by-step explanation:
(2, m) => (n, 5) => (10, 2)
We have 2n = 2 + 10 and 2(5) = m + 2
Hence n = 6 and m = 8.
In order to apply the chi-square test of independence, we prefer to have:
a. at least 5 observed frequencies in each cell. b. not more than 5 observations in each cell.
c. at least 5 expected observations in each cell.
d. at least 5 percent of the observations in each cell.
At least 5 expected observations in each cell in order to apply the chi-square test of independence, we prefer to have at least 5 expected observations in each cell. The correct answer is c.
The chi-square test of independence is a statistical method used to determine whether two categorical variables are independent or associated with each other.
To apply this test, it is preferred to have at least 5 expected observations in each cell of the contingency table. The expected frequency is calculated based on the assumption of independence between the two variables.
If the expected frequency is less than 5 in any cell, the chi-square test may not be valid and alternative methods, such as Fisher's exact test, should be considered. Having a sufficient sample size can also improve the accuracy and reliability of the test results.
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In 2019 the average full time worker in the us spent 8.5 hours working each workday. this is an increase on the average of 8.1 hours per workday in 2014. what percent change for 2014 to 2019 round to the nearest tenth of the percent
The percentage increase in the working hours will be 4.9%.
How to illustrate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Since in 2019 the average full time worker in the us spent 8.5 hours working each workday. this is an increase on the average of 8.1 hours per workday in 2014.
The percentage increase will be:
= (8.5 - 8.1) / 8.1 × 100
= 0.4 / 8.1 × 100
= 4.9%
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for an anova, the within-treatments variance provides a measure of the variability inside each treatment condition.true or false
In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: True. The within-treatments variance in an ANOVA provides a measure of the variability inside each treatment condition.
In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: the between-treatments variability and the within-treatments variability. The between-treatments variability represents the differences among the treatment conditions, while the within-treatments variability measures the variability within each treatment condition.
The within-treatments variance, also known as the error variance or residual variance, quantifies the variation that cannot be attributed to the differences among treatment conditions. It captures the random variability within each treatment group, accounting for the individual differences and random errors present within the groups.
By analyzing the within-treatments variance, we can assess how much variation exists within each treatment condition and evaluate the consistency or homogeneity of the data within each group. It helps determine the extent to which the treatment conditions explain the observed differences and whether any remaining variation is due to random fluctuations or other factors.
Hence, the statement that the within-treatments variance provides a measure of the variability inside each treatment condition is true in the context of ANOVA.
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Alison has some shapes. She has 14 red cubes and 10 red spheres. She has 12 black cubes and 8 black spheres. Alison is going to select 2 of these shapes. Of these 2 shapes only 1 can be red only 1 can be black only 1 can be a cube and only 1 can be a sphere. In how many ways can Alison select the 2 shapes?
Answer:
2
Step-by-step explanation:
Answer:3
Step-by-step explanation:
28. RS = 7a, ST= 12a, RT=76
Answer:
a=4
ST=48
As we know ,
RT=RS+ST=7a+12a=19a
And RT=76
That’s why RT=19a=76 => a = 76/19=4
ST=12a=12*4=48
then we find ,
a=4
ST=48
In geometry, variables often appear in problems related to perimeter, area and volume. Typical problems provide you with some precise measurements and ask you to find out an unknown measurement, or variable.
Determine which formula you need. For example, if you're working with the area of a triangle, you need to know that area equals one half the base times the height, or A=1/2bh.
Plug the known values into the formula. Using the area of the triangle example, assume you know that the area is 100 square inches and the base is 20 inches. When you plug these values into the formula, you get 100=1/2 (20h). The height of the triangle is the variable.
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Suppose that the market for bananas in Binghamton on an average weekday is given by the following equations:
demand:
supply:
P=92−2Q
P=12+2Q
where P is the price of a bushel in dollars and Q is quantity in bushels. a. What is the equilibrium price and quantity? Show graphically. b. Assume that the National Institutes of Health issues a study showing that bananas reduce the risk of cancer. The demand for bananas increases to: demand': P=132−2Q At the original equilibrium price, is there a shortage or a surplus? Of how much? c. What is the new equilibrium price and quantity? Show graphically.
a. the equilibrium price is $52 per bushel and the equilibrium quantity is 20 bushels.
b. the new equilibrium price is $42 per bushel and the new equilibrium quantity is 15 bushels.
Equilibrium price and quantity:
The equilibrium is the point where the supply and demand curve intersect each other. The point where the demand and supply curve intersect each other, P and Q determine the equilibrium price and quantity respectively.
The given equations for demand and supply of the bananas in Binghamton are:
P = 92 - 2QP = 12 + 2QThe equilibrium price and quantity can be obtained by equating the demand and supply equations,92 - 2Q = 12 + 2Q⇒ Q = 20P = 92 - 2(20)⇒ P = 52
Therefore, the equilibrium price is $52 per bushel and the equilibrium quantity is 20 bushels.
The given equations for demand and supply of the bananas in Binghamton are:
P = 92 - 2QP = 12 + 2QThe demand for bananas increases due to the National Institutes of Health’s study, which shows that bananas reduce the risk of cancer.
The new demand equation is given by:
P = 132 - 2QAt the original equilibrium price ($52), the quantity demanded exceeds the quantity supplied.
Therefore, there is a shortage.
The shortage can be calculated as follows:
Quantity demanded at equilibrium price (P = $52) = Quantity supplied at equilibrium price (P = $52)Qd = 92 - 2(20) = 52 bushels Qs = 12 + 2(20) = 52 bushels Shortage = Qd - Qs= 52 - 52 = 0
Therefore, the shortage is 0 bushels.
c. Show graphically.
The new demand equation is given by:
P = 132 - 2QTo find the new equilibrium price and quantity, we need to equate the new demand equation with the original supply equation,P = 12 + 2Q (original supply equation)P = 132 - 2Q (new demand equation)⇒ 12 + 2Q = 132 - 2Q⇒ 4Q = 60⇒ Q = 15P = 12 + 2(15)⇒ P = 42
Therefore, the new equilibrium price is $42 per bushel and the new equilibrium quantity is 15 bushels.
The graphical representation is given below:
Graphical representation of new equilibrium price and quantity.
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a researcher is interested in determining if one could predict the score on a statistics exam from the amount of time spent studying for the exam. in this study, the explanatory variable is:
The explanatory variable, also known as the independent variable, is the factor that is being manipulated to observe its effects on the outcome.
A variable used in statistical analysis to explain or forecast the outcome of a dependent variable is referred to as an explanatory variable. It is also known as an independent variable or predictor. It stands for an element or circumstance that could affect the dependent variable. Explanatory variables assist researchers comprehend the causes or drivers behind a specific occurrence by providing information about the link between various components. Researchers can examine the effects of modifying or detecting changes in the explanatory variables on the dependent variable. By enabling the discovery of patterns, trends, and correlations, this study offers insightful information regarding the variables that influence the observed results. Explanatory factors are important in many disciplines, including the social sciences, economics, psychology, and medical research.
In this study, the researcher is interested in determining the relationship between the amount of time spent studying and the score on a statistics exam. The explanatory variable, also known as the independent variable, is the factor that is being manipulated to observe its effects on the outcome. In this case, the explanatory variable is the "amount of time spent studying" for the exam.
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In ΔXYZ, x = 1.4 cm, z = 2 cm and ∠Z=37°. Find all possible values of ∠X,
Answer: 24.9
Step-by-step explanation:
1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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17. a group of seven people have tickets to see a play. they are going to sit in a row of seven seats, with an aisle at each end of the row. one of the people needs to sit next to an aisle, because she must leave early. how many different ways can the people sit in the row?
In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.
Seat Arrangement CalculationThe total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.
Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.
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write 10 rational numbers between -1/3 and 1/3
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
D. Might the causality of this relationship (TEMP, season, PM_AVG) be due to some other unmeasured factors (name one potential contributor).
Fall Best fit line equation: y = -3.156x + 126.455 The coe
The relationship between temperature, season, and PM_AVG might not be entirely due to these factors. There may be other unmeasured variables that contribute to causality. One possible contributor is humidity.
There may be other variables that have not been measured.
Humidity is one potential contributor to the relationship between temperature, season, and PM_AVG.
This is because high humidity can exacerbate the effects of PM_AVG on human health.
In addition, humidity can affect the way in which PM_AVG is dispersed in the atmosphere.
This can make it more difficult for pollutants to disperse, which can lead to higher concentrations of PM_AVG in the air. As a result, humidity can exacerbate the effects of PM_AVG on human health.
Thus, humidity can be one potential contributor to the causality of the relationship between temperature, season, and PM_AVG.
SummaryThe relationship between temperature, season, and PM_AVG may be due to other unmeasured variables. Humidity is one potential contributor to the causality of this relationship. This is because humidity can exacerbate the effects of PM_AVG on human health. In addition, humidity can affect the way in which PM_AVG is dispersed in the atmosphere, which can lead to higher concentrations of PM_AVG in the air.
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Name: Nam 25 4. In a simple linear regression analysis, the following results we found Mean square regression - MSR - 60 Mewn square errorMS-20 Based on these information, what is the calculated F value? A. B. 2 C 3 D. Not enough information to answer this question E None of the above 5. In a multiple linear regression analysis, the number of independent variables () is equal to 2 and 1 results are found: For independent variable 1: Slope of the estimated regression line -, - 8 Estimated standard deviation of b - 4 For independent variable 2: Slope of the estimated regression line by - 3 Estimated standard deviation of by So-1 Based on these information, what is the calculated value for independent varinble 1? A. 2 B. 3 C. 4 D. Not enough information given to answer this question E. None of the above
F value can be calculated by dividing the mean square regression (MSR) by the mean square error (MSE).MSR/ MSE = F-value
In this question, we are given MSR = 60 and MSE = 20.So, the calculated F value is F = Mean square regression/Mean square error = 60/20 = 3.
Hence, option C (3) is correct.5. Based on the information provided, we have the slope of the estimated regression line, and the estimated standard deviation of b for independent variable 1 as slope = - and estimated standard deviation of b = 4.For independent variable 2, the slope of the estimated regression line is 3 and estimated standard deviation of b = So-1.
Since the question is asking the calculated value for independent variable 1, we are given that the slope of the estimated regression line is -, and the estimated standard deviation of b is 4. So, we cannot calculate the calculated value for independent variable 1.Therefore, the answer is option D (Not enough information given to answer this question).
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