If your commission is $1480, your total sales amount would be $22,500.
To determine the total sales amount, we can divide the commission into two parts: the first $8000 and the amount above $8000.
Let's calculate the commission earned on the first $8000:
Commission on the first $8000 = 8% of $8000
Commission on the first $8000 = 0.08 * $8000
Commission on the first $8000 = $640
Now, let's calculate the commission earned on the amount above $8000:
Commission on sales above $8000 = $1480 - Commission on the first $8000
Commission on sales above $8000 = $1480 - $640
Commission on sales above $8000 = $840
To find the sales amount corresponding to the commission on sales above $8000, we can use the formula:
Sales amount above $8000 = Commission on sales above $8000 / Commission rate
Sales amount above $8000 = $840 / 0.12 (since the commission rate is 12%)
Sales amount above $8000 = $7000
Now, to find the total sales amount, we add the sales amount above $8000 to the initial $8000:
Total sales amount = $8000 + Sales amount above $8000
Total sales amount = $8000 + $7000
Total sales amount = $15,000
However, we must note that this calculation assumes the commission is calculated based on the total sales amount, including the initial $8000. Therefore, the total sales amount corresponding to a $1480 commission would be $22,500.
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If you see a variable by itself what number is actually there but is invisible?
Answer: 1
Step-by-step explanation:
6th grade math help me pleaseeee
Answer:
x = 1.21
Step-by-step explanation:
-12.1 (-0.1) = X
1.21 = x
Hope this helps!
Please help meeeeeeeeeeeeeeeeeee...WILL GIVE BRAINLIEST
Answer: Jackie Robinson was an African American baseball player. He had accomplished-
He was well known for-
The rest is up to you :)
Im not very familiar on the story bc im in mid school but you can fill in the blanks i hope this helps you man :)
Step-by-step explanation:
Bennie swims 6 laps in 4 1/2 minutes.What is this rate in minutes per lap?
A. 2/3 minutes per lap
B. 3/4 minutes per lap
C. 1 1/3 minutes per lap
D. 1 1/2 minutes per lap
3. What is the value of sum[n=0,inf] (-2/3)^n
The sum of the given infinite series is \(\frac{3}{5}\)
To find the value of the sum from n=0 to infinity of (-2/3)^n, we need to use the formula for the sum of an infinite geometric series. The formula is:
\(Sum = \frac{a} { (1 - r)}\)
where 'a' is the first term in the series, and 'r' is the common ratio between the terms. In this case, a = (-2/3)^0 = 1 and r = -2/3. Now, we can plug these values into the formula:
\(Sum =\frac{ 1}{ (1 - (-2/3))}\\Sum ={ 1}{ (1 + 2/3)}\\Sum ={ 1}{ / (3/3 + 2/3)}\\Sum = 1 / (5/3)\\Sum = 1 * (3/5)\\\\Sum = 3/5\)
So, the value of the sum of the series is 3/5.
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you are given the following formula - partially completed - for a confidence interval: 15.9 2.048*1.1. what is the margin of error for this interval? round your answer to three decimal places.
The margin of error for the given formula is 2.247.
The formula for a confidence interval is mean ± (z-score)*(standard deviation/square root of sample size). In this case, the mean is not given, but the formula can still be used to find the margin of error.
The z-score for a 95% confidence interval is 1.96, but since the interval is two-tailed, the absolute value of this z-score is used, which is 2.048.
The standard deviation is also not given, but it can be calculated using the given value of 1.1 and assuming a normal distribution. Thus, the margin of error can be calculated by multiplying 2.048 by 1.1 and rounding to three decimal places.
A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. The formula for a confidence interval includes the sample mean, a z-score or t-score, the standard deviation, and the sample size.
If any of these values are not given, they must be estimated or calculated. In this case, the mean is not given, but the margin of error can still be calculated using the formula. The margin of error represents the maximum amount that the sample mean could differ from the true population mean while still being within the confidence interval.
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A number is rounded to the nearest tenth and hundredth. What is the number that was rounded?
Answer:
the question doesnt specify anything
Answer:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
Step-by-step explanation:
Ava graphs the function h(x) = x2 4. victor graphs the function g(x) = (x 4)2. which statements are true regarding the two graphs? select three options.
Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:
The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).
The vertex represents the minimum or maximum point of the parabola.
The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\) term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)
The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)
On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)
It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.
The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.
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5. Which mapping represents the relation {(-2, 4), (4, 2), (2, 4), -4,
2)}?
Answer:
B
Step-by-step explanation:
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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What percentage of scores lie in the shaded region? use the empirical rule to find your answer.
The empirical rule, also known as the 68-95-99.7 rule, states that in a normal distribution:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% of the data falls within two standard deviations of the mean.
- Approximately 99.7% of the data falls within three standard deviations of the mean.
To determine the percentage of scores that lie in the shaded region, we need more specific information about the shaded region, such as how many standard deviations it extends from the mean. The empirical rule can be applied accordingly based on this information.
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How do you solve longest side?
Why is it vitally important to understand the fees your bank may charge on your
checking account?
Answer:
There might be fees from things you did not do! This is a good way to catch people going into your account!
Step-by-step explanation:
It makes it easier for a person to monitor their spending and any potential fees is the reason that it is important to understand the fees your bank may charge on your checking account.
What is checking account?A checking account allows it simple to manage the money for daily transactions, while also ensuring its safety. Typically, customers can pay their bills or make purchases using a debit card or a cheque. Different methods may be available for accounts to help avoid the monthly service charge.
Checking accounts come in a variety of varieties. One can open a joint account, a student account, or a commercial or company account, for instance.
Thus, It makes it easier for a person to monitor their spending and any potential fees
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The price of a cup of coffee was $2.40 yesterday. Today, the price rose to $2.55. Find the percentage increase.
Answer:
16 percent
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.40÷2.55=94%
elimination method
x-5=-y
3x-10=2y
Answer:
(4,1)
Step-by-step explanation:
Multiply the first equation by -3
(x-5=-y)*-3 = -3x+15=3y
Then combine like terms with the new equation and the second equation
(-3x+15=3y) + (3x-10=2y) = 5=5y
Divide 5 by both sides
1=y
Plug in 1 for y in an equation. Doesn’t matter which one and solve
x-5=-(1)
Distribute the negative sign to the 1
x-5=-1
Add 5 to both sides
x=4
Raw material purchases: $100,000 percentage of raw material purchases transferred to work in process: 50% direct labor: $200,000 overhead: $300,000 total depreciation: $30,000 which 80% is for inventory production and 20% for sg&a work in process completed: 70% finish goods that is sold: 90% as of december 31, 20xx how much raw materials are left in the balance sheet as of december 31, 20xx how much work-in-process inventory is left in the balance sheet as of december 31, 20xx how much finished goods are left in the balance sheet
As of December 31, 20XX, the balance sheet shows that the ending balance of raw materials is $76,000, the ending balance of work-in-process inventory is $52,600, and the ending balance of finished goods is $52,600.
In order to solve this problem, we need to follow a few steps. The steps are as follows:
1. Calculate the raw material transferred to work in process by multiplying the raw material purchases with the percentage transferred to the work in process.
2. Calculate the cost of goods manufactured (COGM) by adding the costs of raw material transferred to the work in process, direct labor, and overhead, and then subtracting the total depreciation.
3. Calculate the cost of goods sold (COGS) by multiplying the cost of goods manufactured with the percentage of finished goods that is sold.
4. Calculate the ending balance of raw materials by subtracting the COGM from the sum of raw material purchases and the beginning balance of raw materials.
5. Calculate the ending balance of work-in-process inventory by subtracting the COGS from the COGM.
6. Calculate the ending balance of finished goods by subtracting the COGS from the sum of the beginning balance of finished goods and the cost of goods manufactured.
Now, let's use the above method to solve the given problem.
Balance sheet for raw material purchases, transferred to work in process, direct labor, overhead, total depreciation, inventory production, and SG&A are given.
- Raw material purchases: $100,000
- Percentage of raw material purchases transferred to work in process: 50%
- Direct labor: $200,000
- Overhead: $300,000
- Total depreciation: $30,000, of which 80% is for inventory production and 20% for SG&A
- Work in process completed: 70%
- Finished goods that is sold: 90%
As of December 31, 20XX, we need to calculate how much raw materials are left on the balance sheet, how much work-in-process inventory is left on the balance sheet, and how much finished goods are left on the balance sheet. The problem is solved below.
1. Calculate the raw material transferred to work in process:
Raw material transferred to work in process = 50% of $100,000
= 0.50 × $100,000
= $50,000
2. Calculate the cost of goods manufactured (COGM):
Raw material purchases transferred to work in process = $50,000
Direct labor = $200,000
Overhead = $300,000
Total depreciation = $30,000, of which 80% is for inventory production and 20% for SG&A
COGM = ($50,000 + $200,000 + $300,000) - (80% × $30,000)
= $50,000 + $200,000 + $300,000 - $24,000
= $526,000
3. Calculate the cost of goods sold (COGS):
COGS = 90% × $526,000
= 0.90 × $526,000
= $473,400
4. Calculate the ending balance of raw materials:
Beginning balance of raw materials = $0
Raw material purchases = $100,000
Raw material transferred to work in process = $50,000
COGM = $526,000
Ending balance of raw materials = ($100,000 + $0) - $526,000 + $50,000
= $76,000
5. Calculate the ending balance of work-in-process inventory:
Beginning balance of work-in-process inventory = $0
COGM = $526,000
COGS = $473,400
Ending balance of work-in-process inventory = $526,000 - $473,400 + $0
= $52,600
6. Calculate the ending balance of finished goods:
Beginning balance of finished goods = $0
COGM = $526,000
COGS = $473,400
Ending balance of finished goods = ($0 + $526,000) - $473,400
= $52,600
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2. Oranges cost $x per kilogram and apples cost $(x - 0.6) per kilogram. The total cost of 2 kg of oranges
and 1.75 kg of apples is $19.20. Find the value of x.
The organizers of a charity concert hope to raise at least $15,000 from ticket sales. They make $25 from each adult ticket sold and $15 from each youth ticket.
Select two of the combinations of adult and youth tickets sold that would allow the organizers of the concert to meet their goal.
A. 450 youth and 250 adult tickets
B. 400 youth and 360 adult tickets
C. 350 youth and 300 adult tickets
D. 320 youth and 400 adult tickets
E. 240 youth and 480 adult tickets
Answer:
Step-by-step explanation:
Let A and Y be the numbers of Adult and Youth tickets.
We can calculate total sales with:
25A + 15Y = Total Sales
Since the goal is to earn at least $15,000:
25A + 15Y ≥ $15,000
See the attachment for the calculations. Options A and B both provide at least $15,000.
Previous Problem Problem List Next Problem (1 point) Evaluate the triple integral of f(x, y, z) = cos(x² + y²) over the solid cylinder with height 4 and with base of radius 3 centered on the axis at z = -1.
Integral =
Therefore, the value of the triple integral of f(x, y, z) = cos(x² + y²) over the solid cylinder is 0.
To evaluate the triple integral of f(x, y, z) = cos(x² + y²) over the given solid cylinder, we need to set up the integral in cylindrical coordinates.
The solid cylinder has a height of 4 and a base of radius 3 centered on the z-axis at z = -1. In cylindrical coordinates, we have:
0 ≤ ρ ≤ 3 (radius bounds)
0 ≤ θ ≤ 2π (angle bounds)
-1 ≤ z ≤ 3 (height bounds)
Therefore, the integral becomes:
∫∫∫ f(ρ, θ, z) ρ dz dθ dρ
Now, we substitute the function f(x, y, z) = cos(x² + y²) into the integral:
∫∫∫ cos(ρ²) ρ dz dθ dρ
Integrating with respect to z:
∫∫ cos(ρ²) [z] from -1 to 3 dθ dρ
Simplifying the bounds for z:
∫∫ 4ρ cos(ρ²) dθ dρ
Integrating with respect to θ:
∫ 0 to 2π [4ρ cos(ρ²) dθ] dρ
Since the integrand is not dependent on θ, we can simplify further:
∫ 0 to 2π 4ρ cos(ρ²) dρ
Now, we can integrate with respect to ρ:
[2 sin(ρ²)] evaluated from 0 to 2π
Substituting the limits of integration, we get:
2 sin((2π)²) - 2 sin(0)
Simplifying further:
2 sin(4π) - 2 sin(0)
Since sin(4π) is equal to 0 and sin(0) is also equal to 0, we have:
2(0) - 2(0)
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let's assume we take pictures of squirrels, most of them are either red or brown, however one in one hundred thousand is an albino (white). if you create a dataset of ten thousand squirrel pictures (i.i.d., no individual squirrel is pictured twice), what is the chance that you'll create a dataset with at least one albino squirrel? round your answer to three decimal places (e.g. 0.025).
By applying the binomial distribution formula, it can be concluded that the probability of seeing at least one albino squirrel is 0.095.
Combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.
C(n,r) = n! / (r! (n-r)!) where
n = number of samples
r = number of selected samples
The binomial distribution formula is used to find the probability of the specific outcome in a discrete distribution.
P(X) = C(n,r) * \(p^{r}\) * \(q^{n-r}\) where:
C = combination value
p = probability of success on a single trial
q = probability of failure on a single trial
If n is the number of the squirrel, p is the probability of seeing albino squirrels and q is the probability of seeing non-albino squirrels, then:
n = 10000
p = 1/100000
q = 1 - 1/100000 = 99999/100000
The probability of seeing at least one albino squirrel:
= P (X ≥ 1)
= 1 - P(X< 1)
= 1 - P(X=0)
= 1 - C(10000,0) * (1/10000)⁰ * (99999/100000)¹⁰⁰⁰⁰⁻⁰
= 1 - (1 * 1 * (99999/100000)¹⁰⁰⁰⁰)
= 1 - 0.904836
= 0. 095164
≈ 0.095
Thus the probability of seeing at least one albino squirrel is 0.095.
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The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
Answer:
\(\overline{GB}\) = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides \(\overline{BC}\), \(\overline{BA}\), and \(\overline{CA}\) intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to \(\overline{BC}\), we have for ΔBGD and ΔCGD;
\(\overline{GD}\) ≅ \(\overline{GD}\) by reflexive property
∠GDB = ∠GDC = 90° given that \(\overline{GD}\) is the perpendicular bisector of \(\overline{BC}\)
Similarly, \(\overline{DB}\) ≅ \(\overline{DC}\), also given that \(\overline{GD}\) is the perpendicular bisector of \(\overline{BC}\)
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
\(\overline{GB}\) ≅ \(\overline{GC}\) by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
\(\overline{GB}\) = \(\overline{GC}\) = 9 by definition of congruency
∴ \(\overline{GB}\) = 9.
helppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
$18.00
Step-by-step explanation:
To find the price of one cup divide 4.00 by 2
4.00/2=2.00
Now that we know the price of one cup of coffe we multiply that to find the price of nine cups of coffee
2.00x9=$18.00
Hope this helps
Answer:
It will cost $18
Explanation:
Marianne is buying 4 bundles of the two large coffees. That's $16 but she still needs to buy her 9th coffee. We can say that one coffee is $2.00 since it cost $4.00 for two coffees. So she'll need to buy one more coffee that will tally up the cost to $18.
INTEGRALS HELP PLEASEEE I’LL GIVE U A CROWN.
Step-by-step explanation:
The definite integral of the function (2x - 3) with respect to x can be found using the antiderivative, also known as indefinite integration.
The antiderivative of (2x - 3) is:x^2 - 3x + C, where C is the constant of integration.
For the definite integral, we need to find the antiderivative over a given interval. To calculate the definite integral, we need to evaluate the antiderivative at the limits of the interval and subtract the values.So, for example, if the interval is from a to b, the definite integral is given by:∫_a^b (2x - 3) dx = (x^2 - 3x) |_a^b = (x^2 - 3x) evaluated at b - (x^2 - 3x) evaluated at a.The definite integral of the function y³ (2y² – 3) with respect to y can be found in a similar way. The antiderivative of y³ (2y² – 3) can be found using power rule of integration.The antiderivative of y³ (2y² – 3) is:(1/4) y⁴ - 3y² + C, where C is the constant of integration.The definite integral of the function can then be found by evaluating the antiderivative at the limits of the interval and subtracting the values, as described above.
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Find x for this problem
2(x-5)+6=7-3(2x-4)
Answer:
x=2.875
Step-by-step explanation:
sorry if this is wrong. It's a weird number
PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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A cylindrical object is 3.13 cm in diameter and 8.94 cm long and
weighs 60.0 g. What is its density in g/cm^3
A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.
To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.
Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.
Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.
The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.
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Which table of values represents a linear function?
A
xx yy
-3−3 00
00 22
33 44
66 77
B
xx yy
-1−1 44
22 11
55 -2−2
88 -5−5
C
xx yy
-1−1 22
00 44
22 66
33 88
D
xx yy
00 88
22 44
33 00
55 -4−4
The table of values that represents a linear function is the table B since it can be written in the form Ax + By = C
For a table of values to be a linear form, the difference between the x and y values must be equal and must be able to be written in the form Ax + By = C
According to table B, we can use the following coordinate points from the table:
(-1, 4) and (2, 1)
Get the slope:
Slope m = (1-4)/2-(-2)
Slope m = -3/4
Get the y-intercept
Recall that y = mx + b
Using the coordinate (2, 1) and the slope m = -3/4
1 = -3/4(2) + b
1 = -3/2 + b
b = 1 + 3/2
b = 5/2
Get the required equation in the form y = mx + b
y = -3/2 x + 5/2
Multiply throgh by 2
2y = -3x + 5
2y + 3x = 5
3x + 2y = 5
Hence the table of values that represents a linear function is the table B since it can be written in the form Ax + By = C
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please help calculate
Step-by-step explanation:
the answer is in the above image
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
pls answer fast, best question gets brainliest
Answer:
59×695÷500×56677×6626
. Which of the following is used to find a best model? a. SST b. Odds ratio c. Slope d. Mallow's Cp e. VIF
Mallow's Cp is used to determine the best model. The correct option is D
The C(p) criterion is a model choice criterion that was proposed by Dennis Mallow. The C(p) criterion estimates the mean square prediction error of a model, with a given number of parameters, as compared to the mean square prediction error of the full model.
In other words, it gives us an estimate of how well the model is going to do in the future. The lower the C(p) criterion, the better the model is, which means that it has less noise and can predict better.
The formula to calculate the Mallow's Cp is given as \(:C(p) = {RSS_p/σ^2} - n + 2p\)where, RSSp = Residual Sum of Squares of p variables σ2 = Estimated Variance of the Error ε n = Sample size p = Number of parameters in the model. The correct option is D
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