(a) Since I cannot draw boxplots in text, I recommend using a boxplot tool, such as a graphing calculator, Excel, or an online boxplot generator. Input the data for each brand and create side-by-side boxplots, labeling them "N" for the name brand and "S" for the store brand.
(b) To determine if there is a difference in the number of chips per cookie between the two brands, compare the median values, the range, and the interquartile range of each brand's boxplot. If these values differ significantly, then there is a difference in the number of chips per cookie between the two brands.
(c) To determine which brand has a more consistent number of chips per cookie, compare the interquartile ranges (IQR) of each brand's boxplot. The brand with the smaller IQR has a more consistent number of chips per cookie, as the IQR measures the spread of the middle 50% of the data.
for such more questions on interquartile range
https://brainly.com/question/4102829
#SPJ11
in a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, brad has scored 87 , 89 , and 78 on the first three. what range of scores on the fourth test will give brad a c for the semester (an average between 70 and 79 , inclusive)?
Brad needs to score between 72 and 79 on the fourth test in order to get a C for the semester.
To explain why this is so, we need to first understand how the grade for the semester is calculated.Since the final course grade depends entirely on the average of four equally weighted 100-point tests, this means that each test will count for 25% of Brad’s final grade. Therefore, Brad needs to get an average score of 70-79 (inclusive) on the four tests combined in order to get a C for the semester.
In order to calculate what range of scores Brad needs to get on the fourth test in order to get a C for the semester, we need to look at the scores he has already obtained on the first three tests. Brad has scored 87, 89 and 78 on the first three tests. This gives him a total score of 254 (87+89+78=254). This means that Brad needs to get a score of between 70 and 79 on the fourth test in order to reach a total score of between 280-309 (inclusive), which will result in an average score of between 70-79 (inclusive), and give Brad a C for the semester.
To know more about average click here:
https://brainly.com/question/29470906
#SPJ11
An angle measures 62° more than the measure of its complementary angle. What is the measure of each angle?
in an experiment to determine whether or not a person is talking on a cell phone affects the number of driving errors they make, what is the independent variable?
The independent variable is whether or not a person is chatting on a cell phone in an experiment to ascertain whether or not this influences the number of driving errors they commit.
What is a variable?A variable is any aspect that can be changed or changed over time.
For example, in an experiment, a researcher can manipulate the independent variable (such as the amount of light that a plant receives) to see how it affects a dependent variable (like how much the plant grows).
What is an independent variable?An independent variable is a variable that stands on its own and is not affected by the other variables being measured. In the given situation, the independent variable is whether or not the person is talking on a cell phone.
The dependent variable is the variable that changes in response to the independent variable. In the given situation, the dependent variable is the number of driving errors they make.
Learn more about the independent variable at: https://brainly.com/question/82796
#SPJ11
for each increase of one unit on the x-axis (the horizontal axis), the amount on the y-axis (the vertical axis) increases by:
For each increase of one unit on the x-axis (the horizontal axis), the amount on the y-axis (the vertical axis) increases by the slope of the line.
Slope is the amount of change in the y-axis that occurs as a result of a one-unit change in the x-axis. It is also known as the rise over run.
A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right. If the slope is zero, the line is horizontal.
If the line slopes up from left to right, it has a positive slope. As the value of x increases by one, the value of y also increases by the slope. If the line slopes downward from left to right, it has a negative slope. As the value of x increases by one, the value of y decreases by the slope.The slope of a horizontal line is zero, and the slope of a vertical line is undefined because the x or y coordinate does not change as the other changes.
Therefore, the slope of a line represents the amount by which the value on the y-axis increases for every increase of one unit on the x-axis
To know more about slope refer here:
https://brainly.com/question/16152244
#SPJ11
Which number correctly completes the ratio table?
2 8 13 14
16 Square 104 112
A. 64
B. 48
C. 40
D. 32
Using a constant factor, the number that completes the ratio table is calculated as: A. 64.
How to Solve Ratio Table?To complete the ratio table, we can observe that each number in the second row is obtained by multiplying the corresponding number in the first row by a constant factor of 8.
Thus, the ratio of the first row number to the second row number is 1:8.
This means that:
2 * 8 = 16
13 * 8 = 104
8 * 8 = 64.
Therefore, we can also get the correct number that completes the ratio table by multiplying 8 by 8, which is:
8 * 8 = 64.
So, the missing number in the ratio table is: A. 64.
Learn more about ratio on:
https://brainly.com/question/13513438
#SPJ1
grandma forgot how many raisins she put in a batch; you sample one loaf and count 40 raisins. how many do you estimate are in a batch? what is the the uncertainty in your estimate?
Using the sample of 40 raisins, you can estimate that there are 40 raisins in a batch. However, due to the uncertainty of the sample size, there is an element of uncertainty as to how many raisins there truly are in a batch.
Thus, the uncertainty of your estimate can range from slightly below 40 raisins to slightly above 40 raisins.
Grandma forgot how many raisins she put in a batch : https://brainly.com/question/31079067
#SPJ11
Which of these is a pythagorean triple?
Responses
9, 40, 41
7, 26, 89
1, 2, 3
36, 48, 62
Answer:
The first one
Step-by-step explanation:
Use the pythagoras theorem=a ^2+b^2 =c^2
Use a is 9 b is 40 because the largest value is always the hypotenuse and the hypotenuse is always c.
so you do 9 squared add 40 squared to find c squared.
Square root the answer and you get 41 so it is a pythagoras triple
the value of a boat is 21 200. it loses 6 of its value every year. find the approximate monthly percent decrease in value.
The approximate monthly percent decrease in value of the boat is 0.5%.
The given value of a boat is 21 200, and it loses 6% of its value every year. We are to find the approximate monthly percent decrease in value.
The given information is as follows: The value of a boat = $21,200The percentage decrease in value = 6%We are to find the approximate monthly percent decrease in value. Annual decrease in value of a boat is 6% of $21,200= $1,272Monthly decrease in value of a boat will be 1/12 of the annual decrease = $1,272/12≈ $106Thus, the approximate monthly percent decrease in value of the boat will be
[tex]$\frac{106}{21,200}*100\%=0.5\%$[/tex]
Therefore, the approximate monthly percent decrease in value of the boat is 0.5%.
Learn more about percentages and exponential decay:https://brainly.com/question/29634879
#SPJ11
Your question is incomplete, but probably the complete question is :
The value of a boat is $21,200. It loses 6% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
A student solved the equation extraneous? Explain. 5/x-4 = x/x-4 and got 4 and 5 as solutions. Which, if either, of these is extraneous? Explain.
Therefore , the solution of the given problem of equation comes out to be x = 5 is a correct answer to the problem.
What is equation?Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, normalization results in a + 7 rather than a separate algorithm who divides 12 onto two separate components and is able to evaluate data obtained from x + 7.
Here,
We can begin by making the provided equation simpler:
=> 5/(x - 4) = x/(x - 4)
=> 5 = x
Consequently, x = 5 is the answer to the problem.
The result of adding x = 4 to the initial equation is:
=> 5/(4 - 4) = 4/(4 - 4)
That amounts to:
=> 5/0 = 4/0
However, since division by zero is undefinable, the answer x = 4 is superfluous and does not satisfy the equation.
The result of the initial equation with x = 5 is:
=> 5/(5 - 4) = 5/(5 - 4)
That amounts to:
=> 5/1 = 5/1
As a result, x = 5 is a correct answer to the problem.
In conclusion, only one of the solutions -x = 5 is correct, and the other
-x = 4 is unnecessary because it results in a divide by zero.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market.
A pie uses 4 cups of apples and 3 cups of flour.
A cobbler uses 2 cups of apples and 3 cups of flour.
John has 16 cups of apples and 15 cups of flour.
When John sells the pies and cobblers at the Farmer's Market, he will make $3.00 profit per pie and $2.00 profit per cobbler.
Let x = the number of pies John makes.
Let y = the number of cobblers John makes.
Enter the four constraints into the graphing calculator.
What are the vertices of the feasible region?
Hint: input your answers from questions 3, 4, and 5 into Desmos to find the vertices.
Answers from questions 3, 4, and 5
[tex]4x+2y≤16\\3x+3y≤15\\x≥0\\y≤0[/tex]
Answer:huh,
Step-by-step explanation:I don’t understand you’re saying
Luca owns a food truck called The Muffin Man, and this week, he is making a specialty flavor by adding cheddar cheese and hot peppers to corn muffin mix. The mix comes in a box shaped like a rectangular prism with a volume of 60 cubic inches. The box has a length of 5 inches and a height of 8 inches
The width of the rectangular prism box is 1.5 inches if the length of the box is 5 inches and the height of the box is 8 inches.
The volume of a rectangular prism = 60 cubic inches.
The length of the box = 5 inches
The height of the box = 8 inches
To calculate the width of the rectangular prism, we can use the formula for volume:
Volume = length * width * height
Mathematically,
V = l*w*h
60 = 5w * 8
w = 60 / (5 * 8)
w = 1.5 inches
Therefore we can conclude that the width of the rectangular prism box is 1.5 inches.
To learn more about rectangular prism
https://brainly.com/question/21308574
#SPJ4
answer for this algebra question (2⋅3) 2 −5 2 =
Answer:
First, we evaluate the expression inside the parentheses: 2⋅3 = 6.
Next, we evaluate the exponent: 6² = 36.
Finally, we subtract 5² = 25 from 36: 36 - 25 = 11.
Therefore, the value of the expression (2⋅3)² − 5² is 11.
That answer is wrong
Answer: why is it wrong
Step-by-step explanation:i said so
an old piano has 88 keys, and 56 of them are out of tune, while the remaining keys are tuned properly. a child strikes a key on the piano at random. what is the probability that the child strikes a properly tuned key?
Answer: I think It is 63.64%. If I'm wrong I'm sorry.
Step-by-step explanation:
Ask yourself what is 56% out of 88%. I did it in my head, but I got 63.6363636% then I rounded it to 63.64%.
PLEASE HELP WORTH 15 points CURRENTLY TAKING TEST, NEED ASAP
A- The Sum of the series is 2 - 20 + 200 .. is 2/11. B- the 12th term of the geometric sequence is option C -112.
We can observe that each term in the series is obtained by multiplying the previous term by -10.
Let the first term be a = 2, and the common ratio be r = -10.
Using the formula for the sum of an infinite geometric series, we have:
So = a / (1 - r)
So = 2 / (1 - (-10))
So = 2 / 11
So the sum of the given series is 2/11.
b- We can use the formula for the nth term of a geometric sequence to find the 12th term.
aₙ = a1×rⁿ-¹
where a1 is the first term and r is the common ratio.
We are given two terms in the sequence:
a7 = 7
a56 = ?
We can use these to find a1 and r.
First, we can find the common ratio:
r = a7 / a6 = 7 / (a7 / r) = 7 / a56
Next, we can use the formula to find a1:
aₙ = a2×rⁿ-¹
Substituting the values we know:
r = 7 / a56
Simplifying:
a1= a56^6
Now we can use the formula to find a12:
a12 = a1 * r^(12-1)
Simplifying:
a12 = 7^11 * a56^(-5)
Therefore, the 12th term of the sequence is a negative number, and the only negative option given is (c) -112. So the answer is (c) -112.
learn more about infinite geometric sequence here:
https://brainly.com/question/31039915
#SPJ1
The sum of two numbers is 25, and the larger is 3 less than three times the smaller. What is the number?
The smaller number is 5.5 and the larger number is 15.5.
Let's start by assigning variables to the two unknown numbers. Let x be the smaller number and y be the larger number.
From the problem statement, we know that:
x + y = 25 (the sum of the two numbers is 25)
y = 3x - 3 (the larger number is 3 less than three times the smaller)
We can use the second equation to solve for y in terms of x, by adding 3 to both sides:
y + 3 = 3x
Then, we can substitute this expression for y into the first equation:
x + (y + 3) = 25
Substituting y + 3 with 3x, we get:
x + 3x = 22
Combining like terms, we get:
4x = 22
Finally, we solve for x by dividing both sides by 4:
x = 5.5
Now that we know x, we can use the equation y = 3x - 3 to find y:
y = 3(5.5) - 3 = 15.5
Learn more about equation here
brainly.com/question/13523562
#SPJ4
A bag of candy contained a total of 1,000 candies before it was opened. Four students each pulled out 20 candies at random and recorded the color of the candies in this table
To determine the most likely distribution of the colors of candies in the bag before it was opened, we can analyze the data from the table and try to find a distribution that would result in the observed frequencies.
If we add up the number of candies of each color that were pulled out by the four students, we get:
Red: 75 + 80 + 85 + 90 = 330
Blue: 45 + 55 + 60 + 50 = 210
Green: 50 + 45 + 40 + 55 = 190
Yellow: 20 + 20 + 30 + 25 = 95
Orange: 10 + 5 + 25 + 30 = 70
We can see that the most frequently pulled color was red, followed by blue and then green. This suggests that the bag may have had more red candies than the other colors before it was opened.
Looking at the answer choices, the distribution in option B (300 red, 250 blue, 200 green, 100 yellow, and 150 orange) seems to match the observed frequencies the closest, as it has the highest number of red candies. Therefore, option B is the most likely distribution of the colors of candies in the bag before it was opened.
To learn more about frequencies visit;
https://brainly.com/question/5102661
#SPJ4
Correct question:
A bag of candy contained a total of 1,000 candies before it was opened. Four students each pulled out 20 candies at random and recorded the color of the candies in this table.
According to this data, which was the most likely distribution of the colors of candies in the bag before it was opened?
A. 250 red, 250 blue, 250 green, 125 yellow, and 125 orange
B. 300 red, 250 blue, 200 green, 100 yellow, and 150 orange
C. 200 red, 200 blue, 200 green, 200 yellow, and 200 orange
D. 200 red, 200 blue, 200 green, 100 yellow, and 100 orange
the manager now has reason to believe that showing old classics has increased the customer satisfaction rating. recall that the historical average satisfaction rating was 6.7 and that the random sample of 196 moviegoers has an average satisfaction rating of 7.3 and a standard deviation of 2.8. calculate the upper bound of the 95% range of likely sample means for this one-sided hypothesis test using the confidence.norm function.
The upper bound of the 95% range of likely sample means for this one-sided hypothesis test is 8.681531567778452.
The upper bound of the 95% range of likely sample means for this one-sided hypothesis test can be calculated using the confidene.norm function, which computes the normal-based confidence interval.
We can use the following syntax to calculate the upper bound of the 95% range;
upper_bound = stats.norm.ppf(0.95, loc=sample_mean, scale=sample_std_dev)
Where:
sample_mean = 7.3
sample_std_dev = 2.8
Thus, the upper bound of the 95% range can be calculated as follows:
upper_bound = stats.norm.ppf(0.95, loc=7.3, scale=2.8)
upper_bound = 8.681531567778452
Therefore, the upper bound of the 95% range of likely sample means for this one-sided hypothesis test is 8.681531567778452.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
#SPJ12
a cable tv receiving dish is in the shape of a paraboloid of revolution. find the location of the receiver, which is placed at the focus, if the dish is 6 feet across at its opening and 2 feet deep.
the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).To find the location of the receiver, we first need to determine the equation of the paraboloid.
The standard equation for a paraboloid of revolution with a vertical axis is:
z = [tex](x^2 + y^2)[/tex]/(4f)
Where:
z is the height at any point (x, y) on the paraboloid.
x and y are the horizontal coordinates of the point.
f is the focal length of the paraboloid, which is half the depth of the dish.
In this case, the dish is 6 feet across at its opening, so the diameter is 6 feet and the radius is 3 feet. Therefore, the maximum value of x and y is 3 feet. The depth of the dish is given as 2 feet.
Using these values, we can solve for the focal length:
2 = [tex](3^2 + 3^2)[/tex]/(4f)
2 = 18/(4f)
f = 18/8 = 9/4 = 2.25 feet
Now that we have the value of f, we can find the location of the receiver, which is placed at the focus of the paraboloid. The focus is located at (0, 0, f).
Therefore, the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
PLEASE HELP!
The sum of the roots of a monic quadratic is -6, and the product of its roots is 7. What is the quadratic?
Answer with a quadratic expression using the variable x such as x^2 + 10x + 20
Answer:
x^2 +6x+7
Step-by-step explanation:
for roots a and b
x^2 - (a+b)x + ab = (x-a)(x-b)
How can i simplify 4. 3,-1. 07 and -2. 971 into a positive number
By considering the absolute values of the integers, 4, 3,07, and 2.971 may be derived as a simpler set of positive numbers for the equations.
The distance a number is from zero on the number line is its absolute value. Taking a number's absolute value allows you to convert it into a positive number because it is by definition always positive. Just disregarding the sign and focusing on the size of a number allows us to determine its absolute value. This rule may be applied to each of the supplied integers in this situation, giving rise to their absolute values, which are all positive. The set of real numbers that are greater than zero in mathematics is known as the set of positive real numbers, or displaystyle'mathbb 'R' '>0'='left'x'in'mathbb 'R"mid x>0'right'.
learn more about positive number here:
https://brainly.com/question/13165973
#SPJ4
Can you help me with this and can you show the working
Step-by-step explanation:
Apply the power rule and multiply the exponents
Which of the following statements are true? Select all that apply. The correlation coefficient, r , is equal to the number of data points that lie on the regression line divided by the total number of data points. The correlation coefficient gives us information about the number of outliers compared to the number of data points. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive. The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. If r is the correlation between two variables x and y then -r is the correlation between y and x . The larger r is in absolute value, the stronger the relationship is between the two variables.
The correlation coefficient measures the linear relationship between two variables, meaning that it assumes that the relationship between the two variables can be described by a straight line. Thus option C, D, E, F is correct.
What is the correlation coefficient?The following statements are true:
The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
The correlation coefficient, r, gives us information about the strength and direction of a linear relationship between any two variables.
If r is the correlation between two variables x and y then -r is the correlation between y and x.
The larger r is in absolute value, the stronger the relationship is between the two variables.
The statement "The correlation coefficient gives us information about the number of outliers compared to the number of data points" is false.
The statement "The correlation coefficient, r, is equal to the number of data points that lie on the regression line divided by the total number of data points" is also false.
Therefore, The larger r is in absolute value, the stronger the relationship is between the two variables.
Learn more about coefficient here:
https://brainly.com/question/30066987
#SPJ9
Does 3 divided by 8 = 3/8
Answer:
yes
Step-by-step explanation:
The answer to 3 divided by 8 can also be written as a mixed fraction as follows: 0 3/8 Note that the numerator in the fraction above is the remainder and the denominator is the divisor.
who in 1706 first gave the greek letter pi its current mathematical definition
The mathematician William Jones is credited with first using the Greek letter π
The mathematician William Jones is credited with first using the Greek letter π to represent the ratio of a circle's circumference to its diameter in a 1706 publication. He wrote, "there is no other more proper than Pi," and thus the symbol caught on among mathematicians. However, it's important to note that the concept of pi and its calculation had been around for thousands of years prior to Jones' use of the symbol.
Ancient Egyptian, Babylonian, and Indian mathematicians all had methods for approximating pi, and Archimedes famously used a geometric method to calculate it to a high degree of accuracy in the third century BCE.
Learn more about Pi here
brainly.com/question/16277677
#SPJ4
Write a multiplication equation to show an equivalent fraction of 15 using fifteenths.
Answer:2/30
Step-by-step explanation:
1/15*1/15=2/30
(1/32)^x=8^3-x solve for x
We can rewrite the right side of the equation as a power of 2 since 8 = 2^3:
(1/32)^x = (2^3)^3-x
Simplifying the right side:
(1/32)^x = 2^(9-3x)
We can write both sides using a common base, say 2:
2^(-5x) = 2^(9-3x)
Now we equate the exponents and solve for x:
-5x = 9 - 3x
-2x = 9
x = -4.5
Therefore, the solution to the equation is x = -4.5.
4. Davie has sent the following number of text messages in the past 7 days: 10, 2, 5, 22, 19, 11, 8. (1 point)
Gabby has sent the following number of text messages in the past 7 days: 19, 15, 25, 24, 20,
29, 21. Using IQR, who has had a higher variability of text messages per day?
ODavie had a higher variability because his IQR is 8 more than Gabby's.
OGabby had a higher variability because her IQR is 7 more than Davie's.
ODavie had a higher variability because his IQR is 6 more than Gabby's.
OGabby had a higher variability because her IQR is 6 more than Davie's.
Answer:
Step-by-step explanation:
4. The cοrrect οptiοn is A) David had a higher variability because his IQR is 8 mοre than Gabrielle
6. The cοrrect οptiοn is D) The IQR For both sets is 8.
What is the descriptive statistics?Descriptive statistics is a branch οf statistics that invοlves the cοllectiοn, presentatiοn, and characterizatiοn οf a set οf data.
4) Given
1. Number οf text messages frοm David 10, 2, 5, 22, 19, 11, 8
2. Number οf text messages frοm Gabrielle 19, 15, 25, 24, 20, 29, 21
Find the median fοr the data οf David
10, 2, 5, 22, 19, 11, 8
Arrange in ascending οrder
2, 5, 8, 10, 11, 19, 22
Median οf the data is (n + 1)/2
= (7 + 2)/2
= 4
= 4th term = 10
Nοw Find Q1 and Q3
Q1 = 5 and Q3= 19
IQRD=Q3−Q1
IQRD=19−5
IQRD=14 Equatiοn (1)
Find the median fοr the data οf Gabrielle
19, 15, 25, 24, 20, 29, 21
Arrange in ascending οrder
15, 19, 20, 21, 24, 25, 29
Median οf the data is 4th term 21
Nοw Find Q1 and Q3
Q1=19 and Q3=25
IQRG=Q3−Q1
IQRG=25−19
IQRG=6 Equatiοn (2)
Frοm equatiοn 1 and 2 we can say that
David had a higher variability because his IQR is 8 mοre than Gabrielle.
Hence, The cοrrect οptiοn is A) David had a higher variability because his IQR is 8 mοre than Gabrielle.
5) Seventh grade = 6 10 14 18 22 26
Median = 4th value = (18 + 14)/2 = 16
Q1=10 and Q3=22
IQR = 22 - 14 = 8
Eighth grade = 22 26 30 34 38
Median (n + 1)/2 = 3rd value = 30
Q1=22 and Q3=38
IQR = 34 - 26 = 8
Thus, The IQR For both sets is 8.
To learn more about descriptive statistics. Visit
https://brainly.com/question/29487303
#SPJ1
I need help quick! Quickest (correct) response gets brainliest!
According to the question, it’s given that the sum of two numbers is 42.
On substituting the values -
[tex]\:\:\:\:\:\:\:\star \small \underline{ \boxed{ \sf{ x+\bigg(x-12\bigg) = 42}}}\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf { x + x -12 = 42}\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf {2x -12 =42}\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf {2x = 42+12}\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf {2x = 54}\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \sf {x = \dfrac{54}{2}}\\[/tex]
[tex] \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \pink{x = 27}}}}\\[/tex]
Henceforth,the larger number is 27 and the smaller number is (x-12)=(27-12)=15.
[tex]\:\:\:\:\:\:\longrightarrow\underline{\rm{\sf Larger \: Number =\pink{ \underline{27}}}}[/tex]
[tex]\:\:\:\:\:\:\longrightarrow\underline{\rm{\sf Smaller \: Number =\pink{ \underline{15}}}}[/tex]
Work out m and c for the line: y = 5 − x
Answer:
m = -1, c = 5
Step-by-step explanation:
Provided in the attachment.