Answer:
28ft
Step-by-step explanation:
1/2 times 4 equals 2, so 7 times 4 equals 28.
Can someone help me please
Answer:
Domain: -3,-2,0,2
Range: 2,-2,-3,-1,1
Step-by-step explanation:
Domain is the x values and the Range is the y values
The 16 oz jar costs per oz. and the 12oz. Jar costs per oz. Slgmund should buy the lar of mayonnaise.
Based on the given information, the cost per ounce of the 16 oz jar and the 12 oz jar is not provided. Therefore, it is not possible to determine which jar of mayonnaise Sigmund should buy.
In order to compare the cost of the two jars of mayonnaise and determine which one Sigmund should buy, we need to know the price per ounce for each jar. Without this information, we cannot make a conclusive decision.
The cost per ounce is essential because it allows us to compare the prices accurately. For example, if the 16 oz jar costs $3 and the 12 oz jar costs $2.50, we can calculate the cost per ounce for each jar. The cost per ounce for the 16 oz jar would be $3 divided by 16 oz, which is $0.1875 per ounce. Similarly, the cost per ounce for the 12 oz jar would be $2.50 divided by 12 oz, which is approximately $0.2083 per ounce.
With this information, we can determine that the 16 oz jar is more cost-effective as it has a lower cost per ounce compared to the 12 oz jar. However, without the specific prices per ounce provided in the given information, it is impossible to determine which jar of mayonnaise Sigmund should buy.
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What skills concepts did you use to solve the radical equations?
Solving radical equations requires a strong foundation in algebraic concepts and techniques, as well as knowledge of exponents and radicals.
Several mathematical skills and concepts required to solve radical equations are as follow,
Knowledge of exponents,
Radical expressions involve exponents, which are fundamental to solving these equations.
Understanding of the properties of radicals,
Knowing the properties of radicals.
How to simplify them or manipulate them to isolate the variable, is essential in solving radical equations.
Algebraic manipulation,
In solving radical equations, use algebraic manipulation techniques.
Such as factoring or multiplying by conjugates, to isolate the variable and solve for it.
Familiarity with solving equations,
Process of solving a radical equation is similar to that of solving any other equation.
Follow standard algebraic procedures, such as combining like terms, applying inverse operations, and checking our solutions.
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A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She then makes a scatterplot of time studying and test grades.
What is the domain?
A) the students' grades on their tests
B) the number of students in the class
C) the different courses the teacher teaches
D) the number of minutes the students studied
In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).
The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).
The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.
The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.
To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).
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Por C?AnswerExample0 How many ways can 4 candy bars be chosenfrom a store that sells 30 candy bars?С27,4052 How many ways can 13 students line up for lunch?113 How many ways can you make a 3-letterarrangements out of the letters in the wordTRAPEZOID.4 How many ways can you choose 2 books from ashelf of 40 books-5 How many ways can 12 swimmers finish in first,second, and third place?.L11---How many ways can Mrs. Sullivan choose twostudents from 27 to help put away calculators atthe end of class?----1-111
1) How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?
In this case we can combine 30 types of candy bars in a set of 4 bars.
This can be calculated as a combination of 30 in 4 with no repetition:
\(\begin{gathered} C(n,r)=\frac{n!}{(n-r)!r!} \\ C(30,4)=\frac{30!}{(30-4)!4!}=\frac{30!}{26!4!}=\frac{30\cdot29\cdot28\cdot27}{4\cdot3\cdot2\cdot1}=\frac{657720}{24}=27405 \end{gathered}\)Answer: 27,405 possible combinations (C).
2) How many ways can 13 students line up for lunch?
In this case we have a permutation of 13 in 13 with no repetition.
We can calculate this as:
\(\begin{gathered} P(n,r)=\frac{n!}{(n-r)!} \\ P(13,13)=\frac{13!}{(13-13)!}=\frac{13!}{1}=6227020800 \end{gathered}\)Answer: 6,227,020,85)00 possible permutations (P).
3) How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.
In the word we have 9 letters with no repetition, so we have to calculate a permutation (as order matters) of 9 letters in 3 places.
We can calculate this as:
\(P(9,3)=\frac{9!}{(9-3)!}=\frac{9!}{6!}=9\cdot8\cdot7=504\)Answer: 504 possible permutations (P).
4) How many ways can you choose 2 books from a shelf of 40 books.
In this case, the order does not matter, so it is a combination of 40 in 2.
This can be calculated as:
\(C(40,2)=\frac{40!}{(40-2)!2!}=\frac{40!}{38!2!}=\frac{40\cdot39}{2\cdot1}=\frac{1560}{2}=780\)Answer: 780 possible combinations (C)
5) How many ways can 12 swimmers finish in first, second, and third place?
In this case, the order does matter, so we have a permutation of 12 in 3:
\(P(12,3)=\frac{12!}{(12-3)!}=\frac{12!}{9!}=12\cdot11\cdot10=1320\)Answer: 1320 permutations (P)
6) How many ways can Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class?
The order does not matter between the two students, so it is a combination of 27 in 2:
\(C(40,2)=\frac{27!}{25!2!}=\frac{27\cdot26}{2\cdot1}=351\)Answer: 351 combinations (C)
Justifying a Claim Based on a Confidence Interval for a Population Proportion
Based on the simulation, what proportion of the 95 percent confidence intervals capture the population proportion of 0.3? Explain how you determined your answer.
Based on the simulation, we can say that, 95% of proportion of the 95 percent confidence intervals capture the population proportion of 0.3.
What is Confidence Interval?Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.
This means that, if you do your experiment more than once and do resampling, then this is the percentage that the parameters falls within a range.
If we say that the confidence interval is A% for a certain parameter like proportion, mean, standard deviation, etc. to be fall within a range of x and y, then this can be interpreted as that we are A% confident that the parameters fall within x and y.
In other words, A% of the intervals capture the parameters.
Therefore, here, we can say that, 95% of the 95% confidence intervals will capture the population proportion of 0.3.
Hence 95% of proportion of the 95 percent confidence intervals capture the given proportion.
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1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful
1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799 participants were successful.
The successful participants can be calculate by solving a linear equation as follows
First, it's crucial to understand linear equations.
Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.
Linear equations are those with one degree.
In this case, a linear equation must be resolved.
1945 for the men's total
Women are present in 2849.
Participants in total: 1945 + 2849 = 4794
Let x be the proportion of participants that were successful.
Men who failed were 5 times as numerous.
Participants in total: 5x + x = 6x
Due to the issue,
The linear formula is
6x = 4794
x = 4794/6
x = 799
799 of the participants had success.
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To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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Given mn, find the value of x.
(8x-7)°
(9x-28)°
Answer: top: x= -15 bottom: x= -37
Step-by-step explanation: First you need to get x by itself so for example on the top one you would do 8-8 to get x alone and then you would also do -7- 8 because whatever you do to one side you have to do to the other.
Hope this helped!!!
The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mixed number in its simplest form.
Answer:
45/4
Step-by-step explanation:
We can interpret the question to have two equation which can be solve simultaneously
a+b=7------------(1)
a-b=2------------(2)
From eqn(2) make a subject of formula
a=2+b--------(3)
Substitute the (3) into eqn(1)
a+b=7------------(1)
2+b+b=7
2b=7-2
2b=5
b=5/2
From equation (3) substitute value of b to find a
a=2+b--------(3)
a= 2+5/2
a=9/2
Then What is the value of a x b ?
9/2× 5/2
=45/4
Answer:
11 1/4
Step-by-step explanation:
a+b=7
a-b=2
adding equations gives us 2a=9 so a= 9/2
b= 7- 9/2= 14-9/2=5/2
therefore a x b= 9/2 x 5/2 =45/4
45/4 in a mixed number is 11 1/4
Please help Quickly Look At Image.
Answer:
abc- 130
ebd-130
abe-50
Step-by-step explanation:
HELP PLZ PLZ PLZZZZ I WILL MARK BRAINLYLIESF!!!!!!
Answer:
150.8
Step-by-step explanation:
The formula for soving cylinder is V=Bh or V=πr2hmso if you plug that in you should get this answer like I did.
Triangle ABC contains vertices A (-3,3), B (-3, -2), and C (-1,1). The center of dilation is E (3,3) and the scale factor is -1/2.
What are the coordinates of A' ?
What are the coordinates of B' ?
What are the coordinates of C' ?
The triangle when dilated by a scale factor of -1/2 the final image is at the coordinates:
A' = (6, 3)
B' = (6, 5.5)
C' = (5, 4)
How to find the coordinates of the imageThe coordinates of the preimage are
(-3, 3), (-3, -2), and (-1, 1)
this is achieved using the formula
= (k(x - a) + a, k(y - b) + b)
(a, b) is the center of dilation and k is the scale factor
the dilation is done as follows
preimage dilation image
(-3, 3) (-0.5(-3 - 3) + 3, -0.5(3 - 3) + 3) (6, 3)
(-3, -2) (-0.5(-3 - 3) + 3, -0.5(-2 - 3) + 3) (6, 5.5)
(-1, 1) (-0.5(-1 - 3) + 3, -0.5(1 - 3) + 3) (5, 4)
The final coordinates are (6, 3), (6, 5.5) and (5, 4)
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A cylinder has a diameter of 12 inches at its base. The height of the cylinder is 1.25 feet. What is the volume of the cylinder in cubic inches
The volume of the cylinder is 1696.5652 cubic inches.
To calculate the volume of a cylinder, use the formula:
Volume = π × r² × h
where π is approximately 3.14159, r is the radius of the base, and h is the height of the cylinder.
Given that the diameter of the cylinder's base is 12 inches, the radius calculated as half of the diameter:
Radius = 12 inches / 2 = 6 inches
The height of the cylinder is given as 1.25 feet, but we need to convert it to inches to match the units of the radius:
Height = 1.25 feet × 12 inches/foot = 15 inches
All the values needed to calculate the volume:
Volume = 3.14159 × 6² × 15
Simplifying the expression:
Volume = 3.14159 × 36 × 15
= 1696.5652 cubic inches
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if two significant main effects emerge in a two-factor anova, then the interaction between factors must be significant.T/F
False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.
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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.
Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False
In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.
If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.
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IF YOU KNOW HOW TO DO THIS PLEASE PLEASE HELP YOUR GIRL OUT!!
Explain the steps necessary to solve the following multi-step equation. Include the final solution as part of your submission and explain how
you verified that the solution is correct.
–5(1 – 5x) + 5(–8x - 2) = -4x – 8x
Answer: x = -5
-------------------------------------------------------------------------------------------------------------
Step-by-step explanation:
Let's solve your equation step-by-step.
−5(1−5x)+5(−8x−2)=−4x−8x
-------------------------------------------------------------------------------------------------------------
Step 1: Simplify both sides of the equation.
−5(1−5x)+5(−8x−2)=−4x−8x
(−5)(1)+(−5)(−5x)+(5)(−8x)+(5)(−2)=−4x+−8x(Distribute)
−5+25x+−40x+−10=−4x+−8x
(25x+−40x)+(−5+−10)=(−4x+−8x)(Combine Like Terms)
−15x+−15=−12x
−15x−15=−12x
-------------------------------------------------------------------------------------------------------------
Step 2: Add 12x to both sides.
−15x−15+12x=−12x+12x
−3x−15=0
-------------------------------------------------------------------------------------------------------------
Step 3: Add 15 to both sides.
−3x−15+15=0+15
−3x=15
-------------------------------------------------------------------------------------------------------------
Step 4: Divide both sides by -3.
−3x /−3 = 15/ −3
x=−5
-------------------------------------------------------------------------------------------------------------
Answer:
x=−5
Source: https://www.mathpapa.com/algebra-calculator.html
, Hope this helps
Have a great day!!
10.
To set up a wireless network for internet access at home, you must buy a network router for
$75. The fee for DSL service is $15 per month. If you have only $300 to spend on the setup
and service, for how many months can you get service? Let x represent the number of
months
Answer:
15 months
Step-by-step explanation:
y represents the total cost in the equation. The words per month tells you that is where the x will go. 75 doesn't change you have to pay it no matter what so it will not have the x with it.
y = 15x + 75
To solve, plugin 300 for y, then solve for x.
300 = 15x + 75
300 - 75 = 15x + 75 - 75
225 = 15x
225/15 = 15x/15
x = 15 months
create indicator variables for the 'history' column. considering the base case as none (i.e., create low, medium and high variables with 1 denoting the positive case and 0 the negative)
To create indicator variables for the 'history' column with the base case as 'none', we can create three variables: 'low', 'medium', and 'high'.
We assign the value of 1 to the corresponding variable if the 'history' column has a positive case (low, medium, or high), and 0 if it has a negative case (none).
Here is an example of how the indicator variables can be created:
'low': Assign the value of 1 if the 'history' column has the value 'low', and 0 otherwise.
'medium': Assign the value of 1 if the 'history' column has the value 'medium', and 0 otherwise.
'high': Assign the value of 1 if the 'history' column has the value 'high', and 0 otherwise.
By creating these indicator variables, we can represent the 'history' column in a binary format that can be used for further analysis or modeling.
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Which of the following best describes the least squares criterion?
it minimizes the sum of the absolute distances from the line
the best fitting line minimizes the sum of the horizontal distances from the line
none of these
it identifies the best fitting line as the line that minimizes the sum of the squared vertical distances of points from the line
The best answer that describes the least squares criterion is that it identifies the best fitting line as the line that minimizes the sum of the squared vertical distances of points from the line. Therefore, the correct option is: It identifies the best fitting line as the line that minimizes the sum of the squared vertical distances of points from the line.
What is least squares criterion?The least squares criterion is a statistical approach that aims to find the best-fitting line for a set of data points. It works by minimizing the sum of the squares of the residuals, where a residual is the difference between the observed value and the predicted value of the dependent variable.
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HELP ASAP! which pairs of the angles in the figure below are vertical angles?
Answer:
B, C
Step-by-step explanation:
Seeing as you said ASAP I thought I wouldn't spend time writing an explanation, but let me know if you do want one.
Answer: B
Step-by-step explanation:each of the pairs of opposite angles made by two intersecting lines.
Dylan is at a water park getting ready to go down a water slide. The slide is 150 feet long and the ladder to the top of the slide is 58 feet high. To the nearest tenth of a foot, find the distance from the bottom of the slide to the bottom of the ladder.
The distance from the bottom of the slide to the bottom of the ladder is approximately 160.9 feet.
We can use the Pythagorean theorem to find the distance from the bottom of the slide to the bottom of the ladder. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the distance we want to find, and the other two sides are the length of the slide (150 feet) and the height of the ladder (58 feet). Therefore, we have:
Distance² = 150² + 58²
Distance²= 22,500 + 3,364
Distance² = 25,864
Taking the square root of both sides, we get:
Distance = 160.9 feet (rounded to the nearest tenth)
Therefore, the distance from the bottom of the slide to the bottom of the ladder is approximately 160.9 feet.
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Costco sells 225 diapers for $44.75. What is the cost per diaper?
Answer:
about $0.20
Step-by-step explanation:
44.75/225=0.20
Hopes this helps please mark brainliest
Briley has 347 marbles. Joey has 4 times as many as Briley. Carson has 799 fewer than Joey. How many marbles does Carson have?
Can somebody help me thank you? Show work please
Answer:
697 marbles
Step-by-step explanation:
We know:
Briley- 374 marbles
Joey- 374*4
Carson- (374*4)-799
Solve:
374*4= 1496 (This is how many Joey has)
1496-799= 697 (This is how many Carson has)
Hope this helps!
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks) REPOST
Answer:
Step-by-step explanation:
peter can buy pack of nine pencils
6 divided by 1.68 =3.5
9 divided by 2.34=3.8
package 2 is just 0.3 more
it give 3 more pencils for 0.3
change the following to algebraic expressions
nine times a number decreased by 11
Step-by-step explanation:
let the number be X
so,
X^9 - 11
Answer: the answer is -4
A water tank at Camp Newton holds 1200 gallons of water at time t = 0. During the time interval Osts 18 hours, water is pumped into the tank at the rate
W(t) = 95Vt sin^2 (t/6) gallons per hour During the same time interval water is removed from the tank at the rate R(t) = 275 sin^2 (1/3) gallons per hour a. Is the amount of water in the tank increasing at time t = 15? Why or why not?
b. To the nearest whole number, how many gallons of water are in the tank at time t = 18? c. At what time t, for 0 st 18, is the amount of water in the tank at an absolute minimum? Show the work that leads to your conclusion d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(C) until the tank becomes empty. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
(a)The amount of water in the tank is increasing.
(b)Evaluate \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.
(c)Solve part (b) to get the absolute minimum from the critical points.
(d)The equation can be set up as \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.
What is the absolute value of a number?
The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.
To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:
a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.
At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.
Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.
b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:
\(\int\limits^{18}_0(W(t) - R(t)) dt\)
Evaluate this integral to get the number of gallons of water in the tank at t = 18.
c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.
d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.
The equation can be set up as:
\(\int\limits^k_{18}-R(t) dt = 1200\)
Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.
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HELP ASAPPPP!!!!! The table shows the deer population in a forest over a 15-year period. Find the rate of change for each time period to the nearest hundredth. Identify the time period during which the population increased at the fastest rate.
Answer:Hope fully this helps please mark me brainliest :)
Step-by-step explanation:
What is MP? Please answer ASAP
Answer:
4
Step-by-step explanation:
5-1=4
...............
IF YOU WORK 20 HOURS AT $10 PER HOUR AND HAVE TO PAY 10% IN TAXES...WHAT IS YOUR NET PAY?
Answer if you work 20 hours to get 10 $ your whole pay is 200- 10% is 180
Step-by-step explanation:
A two-factor research study has 2 levels of factor A and three 3 of factor B with n = 8 participants in each treatment condition. For this study, what is the value for dfbetween treatments? a.5b.4c.3d.6
Answer:
a.5
Step-by-step explanation:
The computation of the value for df^{between treatments} is shown below:
According to the question, the data provided is as follows
Two levels of factor A
And, there are three of factor B
So, the total number of treatment conditions is
= 2 × 3
= 6
Now the value for df^{between treatments} is
= 6 - 1
= 5
Hence, the correct option is a.5
The value for df between treatments is (a) 5
The given parameters are:
\(\mathbf{A = 2}\) --- levels of factor A
\(\mathbf{B = 3}\) --- levels of factor B
Start by calculating the total number of treatment conditions (n)
\(\mathbf{n = A \times B}\)
So, we have:
\(\mathbf{n = 2 \times 3}\)
\(\mathbf{n = 6}\)
Calculate the degrees of freedom (df)
\(\mathbf{df = n - 1}\)
Substitute 6 for n
\(\mathbf{df = 6 - 1}\)
\(\mathbf{df = 5}\)
Hence, the difference is (a) 5
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