1. 24, 36, 54, 81, 121, 181, 271 Common ratio: 1.5
2. -4, -16, -64, -17, 68, -272, 1088, -4352, 17408 Common ratio: -1/4
3. 4.75, 9.5, 3.8, 19, 47.5, 2375, 11875, 59375, 296875 Common ratio: 2
What is Common ratio?
1. To find the common ratio, we divide any term in the sequence by the previous term. For example, dividing 36 by 24 gives us:
36/24 = 3/2
So the common ratio is 3/2.
To find the missing terms, we can multiply the previous term by the common ratio. Thus, the next three terms are:
81 * 3/2 = 121.5
121.5 * 3/2 = 182.25
182.25 * 3/2 = 273.375
So the complete sequence is:
24, 36, 54, 81, 121.5, 182.25, 273.375
2. To find the common ratio, we can divide any term by the previous term. We can use the fact that the sequence is alternating between positive and negative numbers. For example, dividing -17 by a previous term gives us: -17/______ = /
We know that the term after -17 is positive, so we can use 68 as the next term: -17/______ = 68/_______
Solving for the missing terms, we get:
-17/68 = -1/4
68/-272 = -1/4
Solving for the missing terms, we get:
-272/-68 = 4
4 * (-68) = -272
So the complete sequence is:
-4, -16, -64, -17, 68, -272, 1088, -4352, 17408
3. To find the common ratio, we can divide any term by the previous term. For example, dividing the second term by the first gives us:
/ = /_
We know that the sequence is increasing, so the ratio must be greater than 1. We can guess that the missing terms are 9.5 and 47.5, so we can use those to solve for the missing ratios:
9.5/_________ = 2
_______/9.5 = ______/19
47.5/19 = /__
/47.5 = 20/_
Solving for the missing terms, we get:
9.5/2 = 4.75
4.75/9.5 = 1/2
19 * 2 = 38
47.5/19 = 2.5
20 * 47.5 = 950
So the complete sequence is:
4.75, 9.5, 3.8, 19, 47.5, 2375, 11875, 59375, 296875
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Complete question is: 1. 24, 36, 54, 81, 121, 181, 271 Common ratio: 1.5
2. -4, -16, -64, -17, 68, -272, 1088, -4352, 17408 Common ratio: -1/4
3. 4.75, 9.5, 3.8, 19, 47.5, 2375, 11875, 59375, 296875 Common ratio: 2
if you are testing the null hypothesis with an alpha value of 0.05, will the critical value be smaller or larger than if you were testing the alpha value of 0.01? why?
When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.
If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.
This is because a larger alpha value represents a higher level of risk that you are willing to accept when rejecting the null hypothesis. A larger critical value means the rejection region is larger, making it more likely for you to reject the null hypothesis if the test statistic falls within that region.Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.
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Subtract
1/13
31
55
62
110
2
3/5
55
7
10
-
3
22. Simplify the answer.
When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
To subtract 3 from 22, we can perform the subtraction operation as follows:
22
3
19
We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.
Therefore, the simplified answer is 19.
The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.
By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.
In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
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3x - 5y = 15
x-intercept =
y-intercept =
Answer:
x-intercept is 5
y-intercept is -3
Step-by-step explanation:
For the x-intercept:
\(3x - 5(0) = 15\)
\(3x = 15\)
\(x = 5\)
For the y-intercept:
\(3(0) - 5y = 15\)
\( - 5y = 15\)
\(y = - 3\)
Answer:
Y intercept= -3
x-intercept = 5
Step-by-step explanation:
So you would want to get your y alone for it to be in slome intercept form (y=mx+b) so you would:
1. Subtract 3x from both sides to get -5y= -3x+15
2. then you would divide each side by -5 to get y= \(\frac{3}{5}\) x -3
And since in slope intercept form, b= the y-intercept, The y-intercept =-3 and to find the x-intercept you would have to solve for y=0 in your new-found equation.
sorry if this was long
find the value of X, y and z
ans: x=50 y= 50 z=50
The value of x , y and z in the parallel line is 50 degrees.
How to find the angle in parallel line?When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.
Therefore, let's use the angle relationships to find the angle, x, y and z as follows:
Therefore,
x = 360 - 310(sum of angles in a point)
x = 50 degrees
Therefore,
x = y(alternate interior angles)
Alternate interior angles are congruent.
Hence,
y = 50 degrees
Therefore,
x = z(alternate interior angles)
z = 50 degrees.
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Dante’s chocolate bar is 36% cocoa. If the weight of the chocolate bar is 73 grams, how many grams of cocoa does it contain round your answer to the nearest tenth?
Answer:
26.3 grams
Step-by-step explanation:
36% = 36/100 = 0.36
73 * 0.36 = 26.28 grams ≈ 26.3 grams
Answer:
i think 26.3 grams
Step-by-step explanation:
0.36×73 = 26.28
When rounded to the nearest tenth, 26.28 should be equal to 26.3
So Dante's the chocolate bar contains 26.3 grams of cocoa.
20 points plus that brain thing
Each side of a square painting is 41 inches long. A frame shop charges $0.16 per inch for a metal frame. How much would it cost to buy a frame for the painting?
Answer:
\(\huge\boxed{\sf \$ \ 26.24}\)
Step-by-step explanation:
Each side of the squared painting = 41 inches
A square has 4 sides. So,
4 sides of the square painting = 4(41) inches
= 164 inches
\(\rule[225]{225}{2}\)
The shop charges:
1 inches = $ 0.16
Multiply both sides by 164
164 inches = $ 0.16 × 164
164 inches = $ 26.24
\(\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Tim and mary are building a special brick wall in the town playground. There will be 212 bricks in the bottom layer, 204 bricks in the second layer, 196 bricks in the third layer, and so on in the same pattern. The wall will be 20 layers high. They want to know how many bricks will be in the top layer.
The explicit expression that can be used to find out how many bricks will be in the top layer is; aₙ = 212 + (n - 1)(-8)
The number of bricks in the top layer is; 60
Now, According to the question:
There will be 212 bricks in the bottom layer, 204 bricks in the second layer, 196 bricks in the third layer, and so on.
The wall will be 20 layers high.
How to solve Arithmetic Progression?
The formula for the nth term of an arithmetic progression or sequence is expressed as;
aₙ = a + (n - 1)d
where;
a is first term
n is position of term
d is common difference
We are given the sequence as;
212, 204, 196,.....
Thus;
First term; a = 212
Common difference; d = 204 - 212 = -8
Thus, the arithmetic sequence formula to express this is;
aₙ = 212 + (n - 1)(-8)
The number of bricks in the top layer is;
a₂₀ = 212 + (20 - 1)(-8)
a₂₀ = 60.
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The complete question is this:
Tim and Mary are building a special brick wall in the town playground. There will be 212 bricks in the bottom layer, 204 bricks in the second layer, 196 bricks in the third layer, and so on in the same pattern. The wall will be 20 layers high. They want to know how many bricks will be in the top layer. Drag and drop a response into the first box that represents the explicit expression that can be used to find out how many bricks will be in the top layer. Drag and drop the number of bricks that will be in the top layer into the second box.
can somebody plsss help me 7qt= pt pls help meeee
Answer:
8.40665 Step-by-step explanation:
Write a sum of four numbers that equals 0, none of which are opposites.
The four numbers whose sum equals 0, none of which are opposites are
-2, 4, -9, 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Four numbers:
-2, 4, -9, 7
We see that,
The sum of the four numbers is 0.
-2 + 4 + (-9) + 7
= -11 + 11
= 0
None of the numbers are opposite.
Thus,
The four numbers are -2, 4, -9, and 7.
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Find a vector equation of the line through (6,4.2) that is perpendicular to the lines r, (t) (8-2t,1+8t,9-5t) and r2(t)--2t,1t9-where t0 corresponds to the first given point.
A vector equation of the line through (6,4.2) that is perpendicular to the lines r1(t) = (8-2t, 1+8t, 9-5t) and r2(t) = (-2t, 1, 9) is:
r(t) = <6, 4.2, z> + t<2, -5, 0>
where z is a constant that satisfies the equation:
(8-2t - 6)(2) + (1+8t - 4.2)(-5) + (9-5t - z)(0) = 0
To find the equation of the line through the given point (6,4.2) that is perpendicular to the two given lines, we need to find the direction vector of the new line that is perpendicular to both of the given lines. The direction vector is the cross product of the direction vectors of the two given lines.
After finding the direction vector, we can use it to write the vector equation of the line passing through the given point (6,4.2). The constant z is found by substituting the x and y coordinates of the given point into the equation of the line.
The final equation is a vector equation of the desired line.
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The following graph describes function 1, and the equation below it describes function 2: (1 point) Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 3
Function _____ has the larger maximum.
(Put 1 or 2 in the blank space)
The function that has a greater maximum value is: A. function 1 has the larger maximum at (1, 4).
How to determine the maximum value of a quadratic equation?In this exercise, you are required to determine the maximum value of the given quadratic functions that is shown in the graph and written in standard form.
In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Function 1 = f(x) = -x² + 8x - 15
Function 2 = f(x) = -x² + 2x - 3
By critically observing the given quadratic functions shown in the image attached below, we can logically deduce that function 1 f(x) = -x² + 8x - 15 has the larger maximum at (1, 4) because the maximum of function 2 f(x) = -x² + 2x - 3 is at (1, -2).
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Write an equation of the line that passes through (−1,3)
and is parallel to the line y=2x+2
.
The linear equation parallel to the line y=2x+2 is:
y = 2x + 5
How to write the equation of the line?A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two lines are parallel if the lines have the same slope, then for example for:
y = 2x + 2
A parallel line will be:
y = 2x + b
And the line must pas through (-1, 3), then:
3 = 2*-1 + b
3 = -2 + b
3 + 2= b
5 = b
Then the linear equation is:
y = 2x + 5
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In the equation 80 divided by 10 equals 8, the number 80 is the…. A: dividend. B: quotient. C: divisor. D: remainder.
Answer:
he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.
Step-by-step explanation:
Pablo can wash 6 cars in 40 minutes at this rate how many cars can Pablo wash in 4 hours
Answer:
16
Step-by-step explanation:
convert 40 minutes to hours
\( \frac{40 \: minutes}{1} \times \frac{1 \: hour}{60 \: minutes} = \frac{40}{60} = \frac{2}{3} hour\)
multiply to find the number of cars per hour
\( \frac{2}{3} \times \frac{6}{1} = \frac{12}{3} = 4 \: cars \: per \: hour\)
multiply again
\(4 \times 4 = 16\)
9m(4m – 3n) – (5m – n)2
A 11m2
– 17 mn – n2
B 11m2
– 37 mn + n2
C 34m2
– 17 mn – n2
D 34m2
– 37 mn + n2
Answer:
\(36m {}^{2} - 27mn - 10m + 2n\)
Step-by-step explanation:
Use distributive law.
Work with one bracket at a time.
Watch out for the signs!
We have a drawer with 30 pairs of different socks. How many (individual) socks do we need to pull from the drawer before getting one pair for certain
Answer:
60 because their a 2 induivedinal in 1 sock.
Step-by-step explanation:
30 x 2 = 60
The sum of three consecutive odd numbers is 153 find the number
Answer:
Divide the no. by three
Step-by-step explanation:
153÷3 = 51
so, 51+51+51 = 153
Answer:
an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)
first number = 2n+1
second number = 2n+3 -> skip + 2 because it would make it even
third number = 2n+5
2n+1+2n+3+2n+5=153
6n+9=153
6n=144
n=24
24*2+1=48+1=49
24*2+3=48+3=51
24*2+5=48+5=53
the numbers are 49, 51, and 53.
PLEASE HELP IF POSSIBLE :)
Answer: 2cm
Step-by-step explanation:
The sum of a first and second number is 184. Three times the first number decreased by 212 is equal to the
second number, find the two numbers. Let x represent the first number and y represent the second number.
Write the System of Equations used to solve this problem.
The first number (x) is=
The second number (y) is=
The first and second number for the System of Equations are found as 99 and 85 respectively.
What is referred as the System of Equations?A collection of simultaneous equations is a finite set of equations over which obvious solutions are sought. It is also referred to as a system of equations or perhaps an equation system.For the given question;
Let the first number (x)
Let the second number (y)
Then, the System of Equations used to solve this problem is-
The sum of a first and second number is 184.
x + y = 184
y = 184 - x ....eq 1
Three times the first number decreased by 212 is equal to the
second number.
3x - 212 = y ...eq 2
Put eq 1 in eq 2
3x - 212 = 184 - x
Solve for the result.
4x = 184 + 212
x = 99 (first number)
y = 184 - x
y = 184 - 99
y = 85 (second number)
Thus, the first and second number for the System of Equations are found as 99 and 85 respectively.
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Kurt has 26 plant on his porch his neighbor gives him p more plants. Now he has 31 plants in all a. Write an equation to represent the situation
Answer:
26 + 5 = 31
Step-by-step explanation:
Please pick me as brainliest
Answer:
31-26=p
Step-by-step explanation:
if you need the p value, its 5
to find the p value, subtract 26 from 31
hope this helps
please mark brainliest
The NC General Assembly increases minimum wage to $8.00/ hour.What is the impact of the demand for clothes?
The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.
We have,
Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.
Here are a few potential effects to consider:
Increased purchasing power:
When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.
As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.
A shift in consumer preferences:
With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.
This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.
Price sensitivity:
While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.
As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.
Employment and production costs:
An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.
To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.
These factors could impact the overall supply of clothes and potentially influence prices.
Thus,
The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.
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in a math class, tests are 50% of your grade, homework is 30% of your grade, test reviews are 5% of your grade, and the final exam is 15% of your grade. at the end of the semester, your test average is 59, your homework average is 90, and your review average is 72. what score do you need on the final exam to get a c (72%) in the class? (round your answer to 2 decimal places.)
The score needed on the final exam to achieve a C grade is 79.33, rounded to 2 decimal places.
Homework is worth 30% of the grade, which is also a significant portion. The average homework score is 90, which means the average of all homework scores is 90.
Test reviews are only worth 5% of the grade, so they have the smallest impact on the overall average. The average test review score is 72, which means the average of all test review scores is 72.
Finally, the final exam is worth 15% of the grade, and we need to find out what score is needed on the final exam to achieve a C grade, which is 72%.
To calculate the overall average, we can use the weighted average formula.
Overall Average = (Tests Average x 0.5) + (Homework Average x 0.3) + (Test Reviews Average x 0.05) + (Final Exam Score x 0.15)
Substituting the values we know, we get:
Overall Average = (59 x 0.5) + (90 x 0.3) + (72 x 0.05) + (Final Exam Score x 0.15)
Simplifying this equation, we get:
Overall Average = 29.5 + 27 + 3.6 + (Final Exam Score x 0.15)
Overall Average = 60.1 + (Final Exam Score x 0.15)
To get a C grade, the overall average needs to be 72%. So we can set up an equation and solve for the Final Exam Score:
72 = 60.1 + (Final Exam Score x 0.15)
Solving for Final Exam Score, we get:
Final Exam Score = (72 - 60.1) / 0.15
Final Exam Score = 79.33
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Red letters and blue letters are used in a game. Some of the letters are X. All the other letters are Y. X Y X Y The ratio of the number of red letters to the number of blue letters is 2:5 The ratio of the number of red Xs to the number of red Ys is 1: 3 The ratio of the number of blue Xs to the number of blue Ys is 3:1 Work out what fraction of all the letters are Xs.
17/28 of all the letters are X's.
Elsa, miguel and scott sent a total of 133 text messages over their cell phones during the weekend. Scott sent 8 fewer messages than elsa. Miguel sent 3 times as many messages as scott. How many messages did they each send?
Answer:
Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.
Step-by-step explanation:
What is the product of −2 1/4 and 2 1/2?
help me
The problem is asking for the product, meaning we need to multiply.
-2 1/4 * 2 1/2
To make multiplying easier, we can convert the mixed numbers into improper fractions.
2 * 4 = 8, + 1 = 9/4
2 * 2 = 4, + 1 = 5/2
Now, we have this:
-9/4 * 5/2
Since the denominators are different, we can find the least common multiple of the denominators to make them the same. In this case, the least common multiple of 4 and 2 is 4.
-9/4 * 1 = -9/4
5/2 * 2 = 10/4
Now, we have this:
-9/4 * 10/4
We can now multiply!
-9 * 10 = -90
/4 * /4 = /16
= -90/16
You can simply the improper fraction if you'd like.
-90 / 16 = -5.625
So, our answer is -90/16, or -5.625.
I need help answering this!
Measurement refers to a process through which the dimensions, size (weight), or other physical quantities of magnitude that are associated with an object or land is taken, especially for use in a scientific research and experiment such as direct comparison.
From the odometer on Missy's car, we have the following information:
Initial reading = 23,678 miles.
Final reading = 25,127 miles.
Trip = Final reading - Initial reading
Trip = 25,127 - 23,678
Trip = 1,449 miles.
How to solve Part B?Lubrication mileage = 16,000 kilometers.
Total mileage = 68,000 kilometers.
Lubrication time = Total mileage/Lubrication mileage
Lubrication time = 68,000/16,000
Lubrication time = 4.25 ≈ 4.
Next Lubrication time = (16,000 × 0.25) + 68,000
Next Lubrication time = 16,000 - (16,000 × 0.25) + 68,000
Next Lubrication time = 80,000 kilometers.
How to solve Part B?Rate = $29 per mile
Speed limit = 35 mph
Missy's car speed = 43 mph
Difference = 43 - 35
Difference = 8 mph.
Ticket = 29 × 8
Ticket = $232.
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Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (2x+5)∘ and the measure of ∠B is (4x+25)∘. Question 1 Part A Write an equation that can be used to determine the value of x. Enter the correct answer in the box.
Answer:
Part A
This equation is given as
180° = ∠A + ∠B
180° = (2x+5)° + (4x+25)°
Part B
The value of x = 25°
Step-by-step explanation:
We are told in the question that:
Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (2x+5)∘ and the measure of ∠B is (4x+25)∘.
Question 1 Part A Write an equation that can be used to determine the value of x.
Two angles are called supplementary when their measures add up to 180 degrees.
This equation is given as
180° = ∠A + ∠B
180° = (2x+5)° + (4x+25)°
Part B
Solving the equation
180° = (2x+5)° + (4x+25)°
180° = 2x + 5 + 4x + 25
180° = 6x + 30
Collect like terms
180° - 30° = 6x
150° = 6x
x = 150/6
x = 25°
Enter the correct answer in the box.
Mike used of a cup of vinegar in his salad dressing recipe. He made 3 salad dressing recipes. Between which two whole numbers does the number of cups of vinegar that Mike used lie?
The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4
If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).
However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.
Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).
Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).
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6. (1 point) In multiple regression analysis, the ratio MSR/MSE yields the: A. t-test statistic for testing each individual regression coefficient
B. adjusted multiple coefficient of determination C. F-test statistic for testing the validity of the regression equation D. multiple coefficient of determination
C. F-test statistic for testing the validity of the regression equation.
What is the significance of the MSR/MSE ratio in multiple regression analysis?In multiple regression analysis, the ratio of MSR (Mean Square Regression) to MSE (Mean Square Error) is used to calculate the F-test statistic.
This statistic is used to test the overall validity of the regression equation, determining whether the regression model as a whole is statistically significant in explaining the variation in the dependent variable.
The F-test assesses whether the regression model as a whole provides a significant improvement over the null model (a model with no independent variables).
A large F-statistic indicates that the regression equation is statistically significant, implying that at least one of the independent variables has a significant effect on the dependent variable.
Therefore, option C, the F-test statistic for testing the validity of the regression equation, is the correct answer.
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need help with this question
Answer:
I think it's c sorry if im wrong