Answer:
C
Step-by-step explanation:
-5x-49>113
+49 +49
———————-
-5x>162
—- ——
-5 -5
x<32.4
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
|x + 1| + 4 ≤ 2
a The solution set is x ≥ −3 OR x > 1.
b The solution set is all real numbers.
c No real answers
d The solution set is −3 < x < 1.
Answer:
no solution
Step-by-step explanation:
1. Solve by factoring or finding square roots.
2x^2+x-10=0
A. 5, 1/2
B. 2, -5/2
C. 0, - 5/2
D. 2, −5
The Quadratic Factoring solutions to the equation \(2x^2\) + x - 10 = 0 are x = -5/2 and x = 2.
To solve the quadratic equation \(2x^2\) + x - 10 = 0 by factoring or finding square roots, we need to express it in the form (ax + b)(cx + d) = 0, where a, b, c, and d are constants.
Let's try factoring the quadratic equation:
\(2x^2\)+ x - 10 = 0
To factor it, we look for two numbers whose product is ac = 2(-10) = -20 and whose sum is b = 1.
The factors of -20 that add up to 1 are 5 and -4.
So, we can rewrite the equation as:
\(2x^2\) + 5x - 4x - 10 = 0
Now, we group the terms:
(\(2x^2\) + 5x) + (-4x - 10) = 0
Factor out the greatest common factor from each group:
x(2x + 5) - 2(2x + 5) = 0
Now, we can see that we have a common factor, (2x + 5), which we can factor out:
(2x + 5)(x - 2) = 0
To find the solutions, we set each factor equal to zero and solve for x:
2x + 5 = 0 or x - 2 = 0
For 2x + 5 = 0:
2x = -5
x = -5/2
For x - 2 = 0:
x = 2
Therefore, the Quadratic Factoring solutions to the equation \(2x^2\) + x - 10 = 0 are x = -5/2 and x = 2.
So, the correct answer is:
B. 2, -5/2
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As part of its stock-based compensation package, International Electronics (IE) granted 32 million stock appreciation rights (SARs) to top officers on January 1, 2021. At exercise, holders of the SARs are entitled to receive stock equal in value to the excess of the market price at exercise over the share price at the date of grant. The SARs cannot be exercised until the end of 2024 (vesting date) and expire at the end of 2026. The $1 par common shares have a market price of $49 per share on the grant date. The fair value of the SARs, estimated by an appropriate option pricing model, is $3 per SAR at January 1, 2021. The fair value re-estimated at December 31, 2021, 2022, 2023, 2024, and 2025, is $4, $3, $4, $2.50, and $3, respectively. All recipients are expected to remain employed through the vesting date.
Record the award of 32 million SARs on January 1, 2021 when the market price of the stock is $49 per share and the fair value of the SARs is $3 per SAR.
2. Record any necessary journal entry on December 31, 2021 when the fair value of the SARs is estimated at $4 per SAR.
3. Record any necessary journal entry on December 31, 2022 when the fair value of the SARs is estimated at $3 per SAR.
4. Record any necessary journal entry on December 31, 2023 when the fair value of the SARs is estimated at $4 per SAR.
5. Record any necessary journal entry on December 31, 2024 when the fair value of the SARs is estimated at $2.50 per SAR.
6. Record any necessary entry on December 31, 2025 when all of the SARs remain unexercised.
7. Record any necessary entry on June 6, 2026 when the SARs are exercised and the share price is $50.
Required:
1-a. Will the SARs be reported as debt or as equity?
1-b to 4. Prepare the appropriate journal entries pertaining to the SARs on January 1, 2021 and December 31, 2021–December 31, 2024. Assuming the SARs remain unexercised on December 31, 2025, prepare the appropriate entry. Prepare the entry when the SARs are exercised on June 6, 2026, when the share price is $50.
For the given details the journal entry,
1) Compensation Expense $10.0 million
SARs Liability $10.0 million
2) SARs Liability $5.0 million
Cash $5.0 million
To record this adjustment, we need to debit Compensation Expense and credit SARs Liability. The amount of the adjustment will be equal to the fair value of the SARs on the exercise date. Let's assume that the fair value of the SARs on June 6, 2021, is $10 million.
To record this journal entry, we need to debit SARs Liability and credit Cash. Let's assume that the market price of the stock on June 6, 2021, is $70 per share and the exercise price of the SARs is $65 per share. Also, let's assume that the company has 1 million SARs outstanding.
The total cash payment will be equal to the difference between the market price and the exercise price multiplied by the number of SARs exercised. In this case, the cash payment will be:
($70 - $65) x 1 million = $5.0 million
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Complete Question:
The SARs are exercised on June 6, 2021, when the share price is $65, and executives choose to receive the market price appreciation in cash. Prepare the appropriate journal entry(s) on that date. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)
1.Record any necessary adjustment to compensation expense.
2.Record the payment of cash.
An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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Which of the following functions is graphed below?
The definition of the given piecewise function is:
\(y = x^3 - 3, x \leq 2\)\(y = x^2 + 6, x > 2\)What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
In this problem, for x until 2, the function is the cube function shifted down 3 units, hence the definition is:
\(y = x^3 - 3, x \leq 2\)
For x greater than 2, the function is the square function shifted up 6 units, hence the definition is:
\(y = x^2 + 6, x > 2\)
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3) You have a giant, giant hot tub. The hot tub just so happens to be a perfect cylinder. You cannot fill it
all the way to the top, or the water would splash out when you get in. The hot tub is 12 feet wide and 4
feet tall. The instructions say to leave 6 inches at the top of the hot tub. How many cubic feet of water
will you need?
Answer:
Probably 8!
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
suppose that the slope parameter in a simple linear regression model is β1 = 3.52. what does this suggest about the nature of the relationship between x and y?
A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).
Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.
The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.
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How to Find he Tangent Line to a Curve at a Given Point?
The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).
The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.
To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.
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Water and orange squash is mixed in the ratio 11 : 2 Find how much water is needed to dilute 240 cl of orange squash
Answer: 1,320 cl
Step-by-step explanation:
Water and orange squash are mixed in the ratio 11 : 2.
This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.
If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.
11 : 2
x : 240
Cross-multiply:
2x = 11 * 240
x = 2,640 / 2
= 1,320 cl
A cattle farmer wants to save for his daughter's college tuition. He will have to pay P50,000 at the end of every year for the next four years that his daughter attends college. He has 8 years until his daughter starts college to save up for her tuition. Using a 7\% interest rate compounded annually, what is the amount the farmer would have to save every year for the 8 years?
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
Given:
Payment required at the end of each year: P50,000
Number of years until the daughter starts college: 8
Interest rate: 7% (compounded annually)
We can calculate the annual savings using the formula for the present value of an ordinary annuity:
P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}
Where:
P = Present value (amount to be saved annually)
PMT = Payment amount (P50,000)
r = Interest rate per period (7% or 0.07)
n = Number of periods (8)
Let's substitute the given values into the formula:
\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
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a street vendor sells two types of newspapers one for 25 cents and the other for 40 cents. fi she sold 100 newspaper for 28.00 how many newspapers did she sell at 25 cents
She did sell the newspapers for $.25 each at age 80. The equation is referred to as a linear equation in one variable if only one variable is present in the linear equation.
A linear equation is what?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The information provided in the issue is;
One newspaper will set you back $.25.
Other newspapers are $.40 each.
The 100 newspapers were purchased for $28.00.
x is the quantity of newspapers sold for $.25 each.
Y stands for the other newspaper's number.
The total of both newspapers is one hundred.
x+y=100
y=100-x
25x+ 40y=28.00
25x+40(100-x)=2800
25x+4000-40x=2800
-15x+4000=2800
-15x=-1200
x=80
She therefore sold 80 newspapers for $.25 each.
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PotrzebnaPomoc!
Mam nietypowe pytanie, ale jak się liczy objętość graniastosłupa, to na końcu zawsze jest do sześcianu?
W sensie jak mamy jakiś zadanie np. Prostopadloscian o wymiarach 2cm X 1dm X 5mm (2cm X 10cm X 0,5), to wyjdzie na 10cm, ale do trzeciej. I czy w każdym graniastosłupie wyjdzie do sześcianu na końcu? W każdym tego typu zadaniu? Proszę o pomoc, bo ważne, jak ktoś nie wie, to niech nie pisze, pls
Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.
How many times do 8 go into 5
it goes into five 0 times
Answer:
0 Times
Step-by-step explanation:
The answer is 0 times!
This is due to the concept in which 8 is a bigger number than 5.
Which type of rigid transformation is the equivalent of two reflections across intersecting lines?
Rotation is the rigid type of transformation which is equivalent to the two reflections across intersecting lines.
Transformation of reflection gives us mirror image of the given geometrical shape or any object along the axis.Two reflections across the intersecting lines change the position of the shape or object in another coordinate plane .It represents the rotation of the given shape with center as the intersection of two given lines.Twice angle formed between the intersecting lines of the given shape.Therefore, the rigid type transformation which is equivalent to two reflection across the intersecting lines is called rotation.
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2. Ms. Fallis wants to tile a kitchen counter that has an area of 2 square meters. She has 2000 square tiles with 3-centimeter sides. Does she have enough tiles to cover the counter?
Fallis has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.
To find out if Ms. Fallis has enough tiles to cover the counter, we need to calculate how many tiles are required to cover an area of 2 square meters.
Since the tiles have a side length of 3 centimeters, we need to convert the area of the counter to square centimeters.
1 square meter = 10000 square centimeters (cm²)
So, 2 square meters = 20000 square centimeters (cm²)
Now, we need to calculate the area of each tile:
Side length of each tile = 3 centimeters (cm)
Area of each tile = \((side length)^2\) = \((3 cm)^2\) = 9 square centimeters (cm²)
To cover the counter, we need to divide the total area of the counter by the area of each tile:
Number of tiles required = (Total area of counter) / (Area of each tile)
= 20000 cm² / 9 cm²
= 2222.22
Since we cannot have a fraction of a tile, we need to round up to the nearest whole number of tiles. So, Ms. Fallis needs at least 2223 tiles to cover the counter.
Since she has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.
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(4x-5)+(2x+1) CAn anyone help with this
Answer:
6x -4
Step-by-step explanation:
(4x-5)+(2x+1)
Combine like terms
4x+2x -5 +1
6x -4
can anyone help me.
Answer:
Solution:
Given,
Ratio of photo to to the photo frame=2:3
Length of photo frame=36cm
= 36÷3
=13
then,
Length of photo = 13 ×2
= 26cm
Step-by-step explanation:
Therefore,the length of the photo is 26cm
Which of the following has eight faces?ООO A. octahedronO B. tetrahedronO C. icosahedronO D. dodecahedron
Given:
The number of faces =8.
Required:
We need to find the polyhedron with 8 faces.
Explanation:
Recall that the tetrahedron is a polyhedron composed of four triangular faces
The number of faces in tetrahedron =4.
Recall that the octahedron is a polyhedron with 8 faces.
The number of faces in the octahedron= 8.
Recall that the dodecahedron is a polyhedron with 12 faces.
The number of faces in the dodecahedron = 12.
Recall that the icosahedron is a polyhedron with 20 faces.
The number of faces in icosahedron =20.
Final answer:
octahedron
y=x+3 in standard form
1. What is the value of s?
95%
S
55°
Answer:
there is in spanish if you want to translate it
make x the subject of formula
\((xy - fx) = 2\)
Answer:
\(\huge\boxed{\sf x=\frac{2}{y-f}}\)
Step-by-step explanation:
Given equation:xy - fx = 2
Take x common
x(y - f) = 2
Divide y-f to both sides
\(\displaystyle x=\frac{2}{y-f} \\\\\rule[225]{225}{2}\)
Mia buys 4 pens and 5 rubbers for £5.75.
Elise buys 1 pen and 4 rubbers for £3.5.
Work out the cost of one pen and one rubber.
Answer:
one pen costs 0.5 euros
one rubber costs 0.75 euros
Step-by-step explanation:
4p+5r=5.75
p+4r=3.5
-4r. -4r
p=3.5-4r
4(3.5-4r)+5r=5.75
14-16r+5r=5.75
14-11r=5.75
-14. -14
-11r=-8.25
r=0.75
One rubber cost 0.75 euros
Now to find cost of one pen we just fill in what we know
p+4(0.75)=3.5
p+3=3.5
-3. -3
p=0.5
1 pen cost 0.5 euros
Hopes this helps please mark brainliest
anyone please help on my 7th grade math
Answer:
okay i will gladly
show that a pair x,p is equilibrium if and only if x and p are optimal solutions to the standard form problem under consideration and its dual respectively
A pair (x, p) is an equilibrium, if and only if x and p are optimal solutions to the standard form problem and its dual, respectively.
To show that a pair (x, p) is an equilibrium if and only if x and p are optimal solutions to the standard form problem and its dual, we need to demonstrate both directions of the equivalence.
First, let's assume that (x, p) is an equilibrium. An equilibrium occurs when the primal problem and its dual problem satisfy certain conditions. In this case, we have:
1. Primal problem:
- Objective function: maximize \(c^T * x\) (where c is the cost vector and x is the decision variable)
- Subject to: Ax = b (where A is the constraint matrix and b is the right-hand side vector)
2. Dual problem:
- Objective function: minimize \(b^T * p\) (where p is the dual variable)
- Subject to: \(A^T * p \geq c\) (where \(A^T\) is the transpose of A)
Now, if (x, p) is an equilibrium, it means that both the primal and dual problems are feasible, and their objective functions are equal. This implies that x and p are optimal solutions to their respective problems.
Conversely, let's assume that x and p are optimal solutions to the standard form problem and its dual, respectively. This means that x and p satisfy the feasibility conditions and optimize the objective functions of their respective problems.
Since x and p are optimal solutions, the objective functions of the primal and dual problems are equal. This condition ensures that (x, p) is an equilibrium.
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A pair (x, p) is an equilibrium if and only if x is an optimal solution to the standard form problem and p is an optimal solution to its dual. Both conditions must be satisfied for equilibrium.
To show that a pair (x, p) is an equilibrium, we need to prove two conditions: (1) x is an optimal solution to the standard form problem, and (2) p is an optimal solution to its dual.
First, assume that (x, p) is an equilibrium. This means that x is feasible and satisfies the constraints of the standard form problem. We can also assume that p is feasible and satisfies the constraints of the dual problem.
To prove condition (1), we can use contradiction. Suppose x is not an optimal solution. Then there exists another feasible solution x' that yields a better objective function value. However, this contradicts the definition of an equilibrium, so x must be an optimal solution.
Similarly, to prove condition (2), we can assume that p is not an optimal solution. Then there exists another feasible solution p' to the dual problem that yields a better objective function value. Again, this contradicts the definition of an equilibrium, so p must be an optimal solution.
Conversely, if x is an optimal solution to the standard form problem and p is an optimal solution to its dual, we can conclude that (x, p) is an equilibrium. This is because both x and p satisfy the necessary conditions for optimality.
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Convert the following base-2 numbers to base 10: a. (1101011)2 = ([ b. (0.11111)2 = ( c. (110.11100)2 = ( [ 10 (Round the final answer to the nearest whole number.) 10 (Round the final answer to five decimal places.) 10 (Round the final answer to five decimal places.)
The calculated values are as follows:
(1101011)2 is equal to (107)10.
(0.11111)2 is equal to (0.96875)10.
(110.11100)2 is equal to (6.875)10.
a. (1101011)2 = (107)10
To convert a binary number to base 10, you need to multiply each digit of the binary number by the corresponding power of 2 and sum up the results.
(1101011)2 = (1 × 2^6) + (1 × 2^5) + (0 × 2^4) + (1 × 2^3) + (0 × 2^2) + (1 × 2^1) + (1 × 2^0)
= (64) + (32) + (0) + (8) + (0) + (2) + (1)
= (107)10
Therefore, (1101011)2 is equal to (107)10.
b. (0.11111)2 = (0.96875)10
To convert a binary fraction to base 10, you need to multiply each digit of the binary fraction by the corresponding negative power of 2 and sum up the results.
(0.11111)2 = (1 × 2^-1) + (1 × 2^-2) + (1 × 2^-3) + (1 × 2^-4) + (1 × 2^-5)
= (0.5) + (0.25) + (0.125) + (0.0625) + (0.03125)
= (0.96875)10
Therefore, (0.11111)2 is equal to (0.96875)10.
c. (110.11100)2 = (6.875)10
To convert a binary number with fractional part to base 10, you need to split the number into its integer and fractional parts. Then, convert each part separately using the same method as in previous examples.
For the integer part:
(110)2 = (1 × 2^2) + (1 × 2^1) + (0 × 2^0)
= (4) + (2) + (0)
= (6)10
For the fractional part:
(0.11100)2 = (1 × 2^-1) + (1 × 2^-2) + (1 × 2^-3) + (0 × 2^-4) + (0 × 2^-5)
= (0.5) + (0.25) + (0.125) + (0) + (0)
= (0.875)10
Combining the integer and fractional parts:
(110.11100)2 = (6) + (0.875)
= (6.875)10
Therefore, (110.11100)2 is equal to (6.875)10.
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sammy has a -foot ladder, which he needs to climb to reach the roof of his house. the roof is feet above the ground. the base of the ladder must be at least feet from the base of the house. how far is it from the top of the ladder to the edge of the roof? draw a sketch.
It is not possible to reach the top of the ladder to the edge of the roof.
We can solve this problem using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).
In this case, the ladder is the hypotenuse of a right triangle, and the distance from the base of the ladder to the house and the distance from the top of the ladder to the edge of the roof are the two shorter sides.
Let x be the distance from the top of the ladder to the edge of the roof. Then, we can write:
\(10^{2}\) = \((1.5)^{2}\) + \(x^{2}\) + \(12^{2}\)
Simplifying and solving for x, we get:
100 = 2.25 +\(x^{2}\) + 144
\(x^{2}\) = 100 - 2.25 - 144
\(x^{2}\) = -46.25
Since x represents a distance, which must be positive, this means that there is no solution to the equation. Therefore, it is not possible for Sammy to reach the edge of the roof with his 10-foot ladder while keeping the base of the ladder at least 1.5 feet from the base of the house.
Correct Question :
Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the base of the ladder must be at least 1.5 feet from the base of the house. how far is it from the top of the ladder to the edge of the roof?
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How do you understand
% ahh!!!
Answer:
what
Step-by-step explanation:
Because the t procedures are robust, the most important condition for their safe use is that.
that the confidence levels and p - values from the t procedures are quite accurate even if the population distribution is not exactly normal
Because the t procedures are robust, the most important condition for their safe use is that.
The meaning of that major reason is
that the confidence levels and p - values from the t procedures are quite accurate even if the population distribution is not exactly normal
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what is nominal data involved the use of variables that have been rank ordered?
Data can be divided on the basis of qualitative nature into two types as follows:
Nominal data - Nominal data is defined as a type of qualitative data where variables are grouped into categories. They do not follow any specific order. For example, people can be categorised according to their sex as male, female or transgender.Ordinal data - Ordinal data is defined as a type of data that can be divided into categories with following any kind of order, that is the data can be ranked.Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.
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