In conclusion, we can say that the IQR is a better measure of variation for these data because it is less affected by outliers and gives a more accurate picture of the spread of the data.
The given box plot illustrates the population of several states (in millions).
The range and the interquartile range (IQR) are both the measures of variation that explain the variation within a set of data, but there are some variations between these two measures.
Let's discuss the differences between these two measures.
Range:
The range is defined as the difference between the highest and lowest values of a data set.
The range is useful for describing the overall spread of the data, which is particularly useful when dealing with very small datasets.
This measure is sensitive to the extreme values, such as outliers.
Because of this, the range of the population of several states can be used to identify the minimum and maximum value for the population of several states.
IQR:
The interquartile range (IQR) is the difference between the 75th and 25th percentiles, also known as the first and third quartiles, in a data set.
The IQR is a better measure of variation than the range because it is less sensitive to extreme values or outliers.
As a result, the IQR is a more robust measure of the spread of the data.
Therefore, it is better to use the IQR for the population of several states since it gives a more accurate picture of the spread of the data.
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would there be a problem with taking readings from the right side of a sphere if the diameters of the spheres were different?
There would be a problem with taking readings from the right side of a sphere if the diameters of the spheres were different because the right side of a sphere is not a fixed point, but rather a relative term.
If the diameters of two spheres were different, the right side of one sphere would not be the same as the right side of the other sphere. This means that taking readings from the right side of each sphere would not be a fair comparison, as the points being measured are not equivalent.
For example, imagine two spheres with diameters of 5cm and 10cm, respectively. If we were to take readings from the right side of each sphere, we would be measuring points at different distances from the center of each sphere. This would result in inaccurate measurements and an unfair comparison.
To avoid this problem, it is important to define a consistent point of measurement on each sphere that is equivalent, regardless of the diameter. For example, measuring from the center of each sphere would provide a consistent and fair comparison.
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PLS HELP! WILL MAKE U BRAINLIST!
Find the point of intersection using substitution. DO NOT USE ANOTHER METHOD. Show all your thinking.
Answer:
(-2,-3)
Step-by-step explanation:
3x+y=-9
-3x -3x
y=-3x-9
5x-3(-3x-9)=-1
14x+ 27= -1
-27 -27
14x= -28
/14 /14
x=-2
plug in x
3(-2)+y=-9
-6+y=-9
+6 +6
y=-3
Solve the equation x² = 4.
Do u know what is x ?
Answer:
x= 2
Step-by-step explanation:
² means times the number itself 2 times.
2×2=4
F(x)=x2-x3-4 What is the axis of symmetry of the following equation?
The axis of symmetry of equation f(x) = x² - x³ - 4 is x = 2/3.
The axis of symmetry is a vertical line that passes through the vertex of a parabolic function, which is the highest or lowest point on the graph depending on the direction of the parabola. The equation f(x) = x² - x³ - 4 is a cubic function that can be written in standard form as:
f(x) = -x³ + x² - 4
To find the axis of symmetry, we need to first find the x-coordinate of the vertex. This can be done by taking the derivative of f(x) and setting it equal to zero:
f'(x) = -3x² + 2x = 0
x(2-3x) = 0
x = 0 or x = 2/3
Since the coefficient of the x³ term is negative, the vertex of the cubic function is a maximum. Therefore, the axis of symmetry is the vertical line passing through the x-coordinate of the vertex, which is x = 2/3.
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Evaluate (2. 7)3 - (1. 6)3 - (1. 1)3 using a suitable identity. Please answer. Have to submit it tomorrow!!
Evaluating the (2.7)³ - (1.6)³ - (1.1)³ using the suitable identity is given by the term 26.19.
The sum of cubes (of two integers) formula is what is known as the a3 + b3 formula. Without computing the two cubes, the total may be calculated using the a cube + b cube formula. The binomials of cubes are factorised using it as well.
Let a = 2.7, b = 1.6, c = 1.1
We see that,
a + b + c = 2.7 + 1.6 + 1.1 = 5.4
Now as we know that,
If a+b+c = 5.4
then using the identity:
a³ - b³ - c³ = ( a+ b+ c ) (a² + b² + c² - ab - bc - ca) + 3 abc
so,
a³ - b³ - c³ = 5.4(2.7² + 1.6² + 1.1² - 4.32 - 1.76 - 2.97) + 14.256
= 5.4(7.29 + 2.56 + 1.41 - 4.32 - 1.76 - 2.97) + 14.256
a³ - b³ - c³ = 26.19
Therefore, (2.7)³ - (1.6)³ - (1.1)³ is 26.19
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4. Financial Literacy Tickets to a play cost $10 for
members and $24 for nonmembers. Write an expression
to find the total cost of 4 nonmember tickets and
2 member tickets. Then find the total cost. (Example 6)
H
the total cost of 4 nonmember tickets and 2 member tickets would be $116.
Why it is and what is financial literacy?
The expression to find the total cost of 4 nonmember tickets and 2 member tickets would be:
4($24) + 2($10)
This expression represents the cost of 4 nonmember tickets at $24 each, and 2 member tickets at $10 each.
To find the total cost, we simply need to evaluate this expression using basic arithmetic:
4($24) + 2($10) = $96 + $20 = $116
Therefore, the total cost of 4 nonmember tickets and 2 member tickets would be $116.
Financial literacy is the knowledge and skills required to manage one's personal finances effectively. It encompasses a range of topics, including budgeting, saving, investing, managing debt, understanding financial products such as credit cards and loans, and planning for retirement. Financial literacy also involves an understanding of financial concepts such as interest rates, inflation, and risk management.
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Valerie is a member of a movie club. She pays a fixed fee of $40 annually. She must pay $6 for every movie she rents. She rented 14 movies this year. What is the total amount that she paid this year
Valerie paid a total amount of $124 this year for her movie club membership and the 14 movies she rented.
What is total amount?In math, the total amount typically refers to the final sum or result of a calculation involving multiple numbers or quantities.
Valerie pays a fixed fee of $40 annually, and she rented 14 movies at a cost of $6 each. Thus, the total amount she paid this year can be calculated as follows:
Total cost of movie rentals = 14 x $6 = $84
Adding the fixed annual fee to the rental costs:
Total amount paid by Valerie this year = $40 + $84 = $124
Therefore, Valerie paid a total of $124 this year for her movie club membership and the 14 movies she rented.
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Ms. Sanchez is planning two projects for her student’s final assignment. Each student will have an equal chance of selecting Project A or Project B. Ms. Sanchez flips a coin to represent each student’s choice, with heads representing Project A and tails representing Project B. After 110 trials, there are 58 heads and 52 tails. To the nearest percent, what is the experimental probability of Project A?
Answer:
Step-by-step explanation:
Ms. Sanchez is planning two projects for her student’s final assignment. Each student will have an equal chance of selecting Project A or Project B. Ms. Sanchez flips a coin to represent each student’s choice, with heads representing Project A and tails representing Project B. After 110 trials, there are 58 heads and 52 tails.
To the nearest percent, what is the experimental probability of Project B?
The experimental probability of Project A is 0.53.
What is Probability?A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.
As per the given data:
We are given that there are two projects, Project A and Project B.
A student has to choose one out of the two projects and, the student's choice is represented by the flip of a coin where heads representing Project A and tails representing Project B.
Head's = Project A
Tail's = Project B
Total number of trials = 110
Number of heads in the trials = 58 heads
Number of tails in the trials = 52 tails
For finding out the experimental probability of Project A:
= Number of favorable outcomes / Total number of trials
Number of favorable outcomes = Number of heads
= Number of heads / Total number of trials
= 58 / 110
= 0.53 (approx)
The experimental probability of Project A is 0.53.
Hence, The experimental probability of Project A is 0.53.
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Graph the circle x²+(y+6)²=4
Use the points to adjust the graph. Moving the center will move the entire figure.
By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.
what is circle ?A circle in mathematics is a closed form in which every point is situated at an equal distance from the circle's center. The radius of the circle is the distance measured from any location on the circle to its center. The center and radius of a circle, as well as its equation in the coordinate plane, can be used to characterize it. The standard version of a circle's equation is (x - h)2 + (y - k)2 = r2, where (h, k) is the circle's center and r is its radius.
given
Using the methods below, we can graph the circle x2+(y+6)2=4:
Determine the circle's radius: Since r2 = 4 in the provided equation, r must equal 2.
Plotting locations on the circle can be done by using the equation x2+(y+6)2=4 and changing the value of x to find the value of y. As an illustration, if x = 0, we obtain (y+6)2 = 4, which gives us either y = -8 or y = -4. The points (0, -8) and (0, -4) can now be plotted on the coordinate surface.
Create a circle: Using the radius and center, we can create a circle that passes through the plotted coordinates (0, -8) and (0, -4).
By adding or removing numbers from the x and y coordinates, we can change the graph's orientation by moving the circle's center.
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bisphenol a in your soup cans: is this a randomized comparitive experiment or a matched pairs experiment?
The study described in the question is a randomized crossover trial, where each participant serves as their own control by receiving both treatments in a randomized order
In a matched pairs experiment, each subject is paired with another subject who is similar in some relevant characteristic, and one subject receives the treatment while the other serves as a control. The two subjects in each pair are matched on this characteristic to reduce the effect of confounding variables.
In contrast, a randomized crossover trial is a type of experiment in which each participant receives both treatments (in this case, canned soup and fresh soup) in a randomized order, with a washout period between the treatments to minimize carryover effects. In this study, the participants were randomly assigned to either start with canned soup or fresh soup and then switched to the other treatment after a two-day break. Each participant thus serves as their own control, and the difference in outcome between the two treatments is compared within each individual.
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The given question is incomplete, the complete question is:
Bisphenol A in Your Soup Cans Bisphenol A (BPA) is in the lining of most canned goods, and recent studies have shown a positive association between BPA exposure and behavior and health problems. How much does canned soup consumption increase urinary BPA concentration? That was the question addressed in a recent study1 in which consumption of canned soup over five days was associated with a more than 1000 % increase in urinary BPA. In the study, 75 participants ate either canned soup or fresh soup for lunch for five days. On the fifth day, urinary BPA levels were measured. After a two-day break, the participants switched groups and repeated the process. The difference in BPA levels between the two treatments was measured for each participant. The study reports that a 95 % confidence interval for the difference in means (canned minus fresh) is 19.6 to 25.5 ?g/L. 1Carwile, J., Ye, X., Zhou, X., Calafat, A., and Michels, K., ‘‘Canned Soup Consumption and Urinary Bisphenol A: A Randomized Crossover Trial,” Journal of the American Medical Association, 2011; 306(20): 2218–2220.Is this a randomized comparative experiment or a matched pairs experiment?
If the area of a bookshelf is 216 in.² if the length of the bookshelf is 36 inches what is the width of the bookshelf
The width of the bookshelf will be 6 inches when the area and length are 216 in and 36 inches.
What is the width?
Width is a dimension of a geometrical figure that tells about the structure of the figure. In general, width is used to measure the object.
What is formulae of width?
Width is obtained by dividing area and length.
W=A/L
substitute values, 216/36= 6inches.
The width is gonna be 6 because all you have to do is divide 216 and 36
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Which of these investments would be considered high-risk?
Stocks
Pension Plans
Certificate of Deposit
Annuities
Answer: Stocks
Step-by-step explanation: People mainly live on wim's so stocks at times can be unpredictable.
X-y=1/5 in slope-intercept form
The equation in slope- intercept form is y = x - 1/5
How to write the expressionIt is important to note that the expression representing the equation of a line in slope- intercept form is written as;
y = mx + c
Such that the parameters are;
y is a point on the y - axis of the graph.m is the slope of the line.x is a point on the x - axis.c is the intercept on the y -axis of the graph.From the information given, we have;X-y=1/5collect the variables and constants, we have;
- y = 1/5 - x
reconstruct the expression
- y = -x + 1/5
Divide both sides by the coefficient of y , we have;
y = x - 1/5
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Please help! Im a struggling depressed student that needs to desperately catch up.
Answer:
25%
Step-by-step explanation:
30/120 = 1/4
1/4 = 25%
The lengt of a rectangle is 8 meters more that the width. If the area of the rectangle is 65 square meters, find the width
The width of the rectangle is 5 meters.
To find the width of the rectangle, let's use the formula for the area of a rectangle, which is:
Area = length x width
We know that the area of the rectangle is 65 square meters. We also know that the length of the rectangle is 8 meters more than the width. Let's call the width "w". Then, the length can be expressed as:
length = w + 8
Substituting this expression for length into the formula for the area, we get:
65 = (w + 8) x w
Simplifying and solving for w, we get:
w² + 8w - 65 = 0
Using the quadratic formula, we get:
w = (-8 ± √(8² + 4(1)(65))) / (2(1))
w = (-8 ± √(324)) / 2
w = (-8 ± 18) / 2
We take the positive value for w since the width cannot be negative:
w = (-8 + 18) / 2
w = 5
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which statistical method could a scientist use to estimate the strength of evidence that a particular node in a phylogeny exists?
A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.
Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.
Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.
Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.
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what is the answer for 239.3 x 55
Answer:
13,161.5
Step-by-step explanation:
5x3= 15 then go over and carry the one then do 5x9= 45+1= 46 then go over to 3 and carry the four and 5x3= 15+4= 19 put 9 down and carry the one then 5x3= 10+1= 11 after x the 0 the repeat what you did and add up the final numbers so 239.5x 55= 13161.5
the support for a basketball hoop forms a right triangle as shown. what is the length, x, of the horizontal portion of the support?
According to Pythagorean Theorem, The length of the horizontal portion of the support, x, is 3.87 feet.
The length of the horizontal portion of the support, x, can be determined by using the Pythagorean Theorem. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of a right triangle and c is the hypotenuse.
In this case, a = 7 feet, b = x, and c = 8 feet. We can use the Pythagorean Theorem to solve for x: 72 + x2 = 82, or 49 + x2 = 64. This can be solved for x to get x2 = 15 and x = √15 ≈ 3.87 feet.
Therefore, the length of the horizontal portion of the support, x, is 3.87 feet.
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a sample survey is to be conducted to determine the mean family income in an area. the question is how many families should be sampled? in order to get more information about the area, a small pilot survey was conducted, and the standard deviation of the sample was computed to be $400 with the mean of $60,000. the sponsor of the survey wants you to use the 0.99 degree of confidence. the estimate is to be within $90. how many families should be interviewed?
The sample size required is 182 families should be interviewed.
To calculate the number of families that should be interviewed to obtain the desired precision and degree of confidence, one must first determine the minimum sample size required to achieve the desired degree of confidence. As the standard deviation of the sample was computed to be $400 with the mean of $60,000.
Sample size formula: n = (Z² * s²) / E²
The formula for the degree of confidence: Z = 2.576
Sample size formula: n = (Z² * s²) / E²
Substituting the values, we get n = (2.576² * $400²) / $90²= 181.49 = 182 families. The sample size required is 182 should be interviewed families.
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Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's? Let m represent the monthly cost.
Solving a linear equation we can see that the answer is 40 months.
How many months is it until your cost is the same as Plan A's?We know that company A only charges $70 per month, so the cost in dollars after x months is given by the linear equation:
A(x) = 70*x
For company B you need to pay $50 per month plus the $500 phone, so here the cost is:
B(x) =500 + 50*x
We want to find for what value of x we have B(x) = A(x), then we needto solve:
70x = 500 + 50x
70x - 50x = 500
20x = 500
x = 500/20
x = 40
After 40 months the cost will be the same one than in company A.
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Refer to the map of Florida the distance on the map between Daytona beach and Orlando is 2 units what is the actual distance between Daytona beach and Orlando?
According to the information, the distance between Daytona beach and Orlando would be 52 miles.
How to calculate the distance from Daytona beach to Orlando?To calculate the distance from Daytona beach to Orlando we must perform the following rule of three mathematical procedure:
1. In this case, we must consider the procedure like this:
If one unit is equal to 26 miles, how many miles are 2 units equal to?
1 unit = 26 miles2 units = ?miles2 * 26 miles / 1 = 52 miles.So, we can conclude that the distance between Orlando and Baytona beach is 52 miles.
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.a semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. find the height of the arch at a distance of 1.5 m from the center of the arch.
The height of the arch at a distance of 1.5 meters from the center is approximately D. 1.73 meters
The shape of a semi-elliptical arch can be described by the equation:
y = c * sqrt(1 - (x/a)^2)
where "a" is half the span of the arch, "c" is the central height of the arch, and (x,y) are the coordinates of a point on the arch, measured relative to the center of the arch.
In this case, we have a span of 6 meters, so a = 3 meters. The central height of the arch is 2 meters, so c = 2 meters. We want to find the height of the arch at a distance of 1.5 meters from the center, so x = 1.5 meters.
Substituting these values into the equation, we get:
y = 2 * sqrt(1 - (1.5/3)^2)
y = 2 * sqrt(1 - 0.25)
y = 2 * sqrt(0.75)
y = 2 * 0.866
y = 1.732
Therefore, the height of the arch at a distance of 1.5 meters from the center is approximately 1.73 meters. Answer D
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Your question is incomplete, but probably the complete question is :
A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.
A. 1.41 m C. 1.56 m
B. 1.63 m D. 1.73 m
Patrick owns a business that makes chandeliers. He wants to make
greater than 470 chandeliers. The company made 163 chandeliers so
far. If 10 chandeliers can be made in an hour, how long will it take to
reach Patrick's goal?
Write a two-step inequality, using the values provided in the problem,
that represents this situation. Use x as the variable.
Patrick's goal will reached by 30.7 hours
The inequality is 163 + (10x) > 470
How to write the inequalityLet's use x to represent the number of hours it will take to reach Patrick's goal.
First step: The total number of chandeliers made must be greater than 470.
163 + (10x) > 470
Second step: Solve for x by isolating it on one side of the inequality.
10x > 307
x > 30.7
Therefore, it will take more than 30.7 hours to reach Patrick's goal of making greater than 470 chandeliers.
The inequality can be written as: 163 + (10x) > 470
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Nhan is getting dressed. He considers two different shirts, three pairs of pants, and three pairs of shoes. He chooses one of each of the articles at random. What is the probability that he will wear his jeans but not his sneakers?
Shirt
Pants
Shoes
collared
khakis
sneakers
T-shirt
jeans
flip-flops
shorts
sandals
question 2 theorem: if r and s are rational numbers, then the product of r and s is a rational number. which facts are assumed in a direct proof of the theorem?
In a direct proof of the theorem "if r and s are rational numbers, then the product of r and s is a rational number," the following assumptions or facts are typically used:
Definition of rational numbers: A rational number is defined as any number that can be expressed as the ratio of two integers.Closure property of rational numbers under multiplication: When two rational numbers are multiplied, the result is always a rational number.Properties of integers: When two integers are multiplied, the result is always an integer.Properties of fractions: When two fractions are multiplied, the result is obtained by multiplying their numerators and denominators separately.Using these facts, a direct proof of the theorem can be constructed by assuming that r and s are rational numbers and then showing that their product is also a rational number. Specifically, we can express r and s as fractions with integer numerators and denominators, multiply their numerators together to obtain the numerator of the product.
Since the numerator and denominator of the product are both integers, and the denominator is nonzero, the product is a rational number.
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suppose that the number of log-ons to a computer network follow a poisson process with an average of three counts per minute, a. what is the mean time between counts? b. what is the standard deviation of the time between counts?
a) Mean time between counts is 0.3333 minutes.
b) Standard deviation of time between counts is 0.5774 minutes.
a. Mean time between counts: The mean time between counts can be computed as the inverse of the Poisson rate parameter (λ): Mean time between counts = 1/λ.
The average of 3 counts per minute is the same as the rate parameter λ in a Poisson process. Thus, the mean time between counts is: Mean time between counts = 1/λ = 1/3 = 0.3333 minutes (20 seconds approximately).
b. Standard deviation of the time between counts: The standard deviation of a Poisson process is equal to the square root of the mean.
Therefore, the standard deviation of the time between counts can be calculated as follows: Standard deviation of time between counts = sqrt(mean) = sqrt(1/λ) = sqrt(1/3) = 0.5774 minutes (approximately 35 seconds).
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What is the radius of a sphere if its volume is 7,234.56 ft3 please answer it,Show work.
Answer:
11.52 feet
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
We can rearrange the formula to solve for the radius:
r = (3V/4π)^(1/3)
Substituting the given volume V = 7,234.56 ft³, we get:
r = (3(7,234.56)/(4π))^(1/3) ≈ 11.52 ft
Therefore, the radius of the sphere is approximately 11.52 feet.
NEED HELP KNOW Of the 8760 hours in a year, one television was on for 438 hours. What percent is this?
8760 hours in a year, one television was on for 438 hours. 5% is the percentage of 8760 hours television was on.
What is the Percentage?The percentage is the a ratio in which the value of the whole (denominator) is always 100. For example, if Ram scored 40% marks in his math test, it means that he scored 40 marks out of 100. It is written as 40/100 in the fraction form and 40:100 in terms of ratio. Here "%" signifies the symbol of percentage and is read as "percent" or "percentage".
Total number of hours in a year=8760hrs
Television was on for=438hrs
percentage=438/8760 x 100 = 5
Therefore, 438hr is 5 percent of 8760hr.
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Bo and Erica are yoga instructors. Between the two of them, they teach 37 yoga classes each week. If Erica teaches 14 fewer than
twice as many as Bo, how many classes does each instructor teach per week?
OA. 19 Bo; 18 Erica
OB. 14 Bo; 23 Erica
OC. 21 Bo; 16 Erica
OD. 17 Bo; 20 Erica
Answer:
The correct answer is OD.
Step-by-step explanation:
To find how many classes each instructor teaches per week, you need to set up and solve a system of equations based on the given information. In other words,
Let x be the number of classes Bo teaches per week and y be the number of classes Erica teaches per week.
The first equation is based on the total number of classes they teach
x + y = 37
The second equation is based on the relationship between their numbers of classes
y = 2x - 14
To solve this system, you can use substitution or elimination methods. For example, using substitution, you can plug in y = 2x - 14 into the first equation and get
x + (2x - 14) = 37
Simplify and solve for x
3x - 14 = 37
So, Bo teaches 17 classes per week and Erica teaches 20 classes per week.
Answer:
A. 19 Bo; 18 Erica
Step-by-step explanation:
im good like that hehe
the least common multiple of k and 720 is 3600. what is the sum of all positive integers k that satisfy this property?
The sum of all positive integers k that satisfy the property is 1800.
To find the sum of all positive integers k that satisfy the property of the least common multiple of k and 720 being 3600, we need to use the concept of prime factorization and LCM. What is LCM?The least common multiple (LCM) of a set of numbers is the smallest number that is a multiple of all the given numbers. It is calculated by taking the common prime factors of the numbers and multiplying them by their highest powers.
Now mentioned in the question that the LCM of k and 720 is 3600. Let's write 720 and 3600 in prime factorization form. 720 = 2⁴ × 3² × 5¹, 3600 = 2³ × 3² × 5²Let LCM of k and 720 be L. So, L = 2⁴ × 3² × 5²Let k = 2ᵃ × 3ᵇ × 5ᶜ. So, LCM of k and 720 = 2ⁿ × 3ᵐ × 5ᴬ, where, n = max (4, a) , m = max (2, b) , A = max (2, c)Given, LCM of k and 720 = 3600.So, 2ⁿ × 3ᵐ × 5ᴬ = 2⁴ × 3² × 5².
As we know, n = max (4, a) , m = max (2, b) , A = max (2, c)Thus, n = 4, m = 2, A = 2. Since, n = max (4, a) , a = 4 is the only possible solution And, m = max (2, b) , b = 2 is the only possible solution, And, A = max (2, c) , c = 2 is the only possible solution.So, the possible value of k is k = 2⁴ × 3² × 5²i.e. k = 1800. Sum of all possible values of k is 1800.Therefore, the sum of all positive integers k that satisfy the property is 1800.
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