Scatterplots and correlation never prove __________
Fill in the blank
Scatterplots and correlation never prove causation. Causation may only be determined by well-designed experiments.
Give a brief account on scatterplots and correlation.A scatterplot is a type of graph commonly used to observe and visually represent the relationships between variables. Variable values are represented by dots. The position of the points on the vertical and horizontal axes indicates the value of each data point. Therefore, scatterplots use Cartesian coordinates to display the values of the variables in the dataset. A scatterplot is also called a scatter graphs, scatter charts, or scattergrams.
Correlation means association, and more specifically, it measures how well two variables are related. Correlation analysis have three possible outcomes: Positive correlation, negative correlation, no correlation.
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Jasmine owns her own housekeeping business. She charges $50 to clean a house with 3 bedrooms and 2 bathrooms. She charges $75 to clean a house with 3 to 4 bathrooms. It takes Jasmine 3 hours to clean a house with 2 bathrooms and 4 hours to clean a house with 3 or 4 bathrooms. How much more does Jasmine make per hour cleaning a larger house compared to a smaller house?
Jasmine makes $2.08 more per hour cleaning a larger house compared to a smaller house.
Define the term pricing strategy?Pricing strategies refer to the methods and techniques used by businesses or companies to set the prices of their products or services.
Let's first calculate the hourly rate Jasmine charges for cleaning a house with 2 bathrooms:
She charges $50 for a house with 3 bedrooms and 2 bathrooms, and it takes her 3 hours to clean it, so her hourly rate is:
⇒ $50 ÷ 3 hours = $16.67/hour
Now let's calculate the hourly rate she charges for cleaning a house with 3 or 4 bathrooms:
She charges $75 for a house with 3 to 4 bathrooms, and it takes her 4 hours to clean it, so her hourly rate is:
⇒ $75 ÷ 4 hours = $18.75/hour
Therefore, Jasmine makes $18.75/hour cleaning a larger house compared to $16.67/hour cleaning a smaller house.
To find out how much more Jasmine makes per hour cleaning a larger house compared to a smaller house, we can subtract the hourly rate for a smaller house from the hourly rate for a larger house:
⇒ $18.75/hour - $16.67/hour = $2.08/hour
So, Jasmine makes $2.08 more per hour cleaning a larger house compared to a smaller house.
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The measure of 1/2 of the circumference of a circle is 157 feet. What is the radius of the circle, to the nearest foot?
{an}={((-1)^(n+1))/n} please how do you prove if this is convergent or divergent?
The series [tex]a_n=\frac{(-1)^{n+1}}{n}[/tex] is converges.
What is a series?
An n-arithmetic sequence is a sequence in which the difference d of successive terms is constant.
The general term of the arithmetic progression can be written using its first term [tex]a_1[/tex], tolerance [tex]d[/tex], and index [tex]n[/tex] as [tex]a_n=a_1+(n-1)d[/tex].
According to the alternating series test, if a sequence {b_n} satisfies the following three conditions:
[tex]b_n[/tex] is positive for all [tex]n[/tex].
[tex]b_n[/tex] is decreasing (i.e., [tex]b_n > = b_{n+1}[/tex] for all n).
[tex]\lim_{n \to \infty} b_n =0\\[/tex]
Then the alternating series [tex](-1)^n b_n[/tex] converges.
To apply the alternating series test to the sequence {a_n}, we first note that [tex]a_n = (-1)^{n+1}/n[/tex] satisfies condition 3, since [tex]\lim_{n \to \infty} \frac{1}{n} =0[/tex].
Next, we observe that [tex]a_n[/tex] is positive for n = 1, 3, 5, ... and negative for n = 2, 4, 6, ..., so [tex](-1)^n a_n = (-1)^{n+1}/n[/tex] is an alternating sequence.
Finally, we show that a_n is decreasing by considering the difference between successive terms,
[tex]a_{n+1} - a_n = (-1)^n/n - (-1)^{n+1}/(n+1)\\ = (-1)^{n} [(n+1)/(n(n+1))] \\= (-1)^{n}/n(n+1) < 0[/tex]
since n and n+1 are both positive. Therefore, a_n is decreasing.
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the area of a trapizoid is 69.6in and the altude is 8.7 in. Find the perniniter of the trapizoid
Answer:
Step-by-step explanation:
area of trapezoid
[tex]= \frac{sum~of~parallel~sides}{2} \times altitude\\69.6=\frac{sum~of~parallel~sides}{2} \times 8.7\\139.2=sum~of~parallel~sides \times 8.7\\sum~of~parallel~sides=\frac{139.2}{8.7} =16[/tex]
minimum parameter=16+2(8.7)=16+17.4=33.4 in
The oblique pyramid has a square base.
An oblique pyramid has a square base with a base edge length of 2 centimeters. The vertical height of the pyramid is 3.75 centimeters.
What is the volume of the pyramid?
2.5 cm3
5 cm3
6 cm3
7.5 cm3
Answer:
5cm^3
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
у = X=
Answer:
y = -2x + 5
Step-by-step explanation:
slope = rise/run = 2/-1 = -2
b = y-intercept = 5
y = -2x + 5
Think about a density curve that consists of two line segments. The first goes from the point (0, 1) to the point (0.7, 1). The second goes from (0.7, 1) to (0.9, 2) in the xy-plane. What percent of observations fall between 0.7 and 0.9? Rstudio
a) 0.20
b) 1.00
c) 0.05
d) 0.30
e) 0.50
0.20 is percent of observations fall between 0.7 and 0.9.
What use does percentage serve?
The simplest way to use percentages is to compare two numbers, with the second number being rebased to 100. Consider that we are curious about the proportion of employed women who are female. If this proportion is equal to 1/2, then generally speaking, there is one employed woman for every two men.
Density curve consists of two line segments .
first line goes from the point (0,1) to the points (0.7 , 1) . second line goes from (0.7 , 1) to (0.9 , 2 ) in the xy plane .
then percentage of observation fall below 0.20 and is 0.20.
percentage = 20% = 0.20
area of rectangle = ab
= 0.2 * 1
= 0.20
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Gina's class measured the weights of the pumpkins that they grew.
A line plot named “Pumpkin Weights” shows data from six to fourteen pounds. Six has three dots. Eight has five dots. Nine has one dot. Ten has seven dots. Twelve has four dots. Thirteen has two dots. Fourteen has one dot.
The weight of the pumpkins that Gina's class grew was measured.
a) There is a total of 23 pumpkins.
b) 7 pumpkins weigh 10 pounds.
c) The number of pumpkins that weigh 6 pounds is equal to 3 times the number of pumpkins that weigh 9 pounds.
Based on the given information, we can complete the sentences as follows:
a) There is a total of 23 pumpkins.
To get this number, we need to add up the number of dots for each weight:
3 + 5 + 1 + 7 + 4 + 2 + 1 = 23
b) 7 pumpkins weigh 10 pounds.
To find the weight with the most dots, we look for the peak in the line plot, which corresponds to 10 pounds, and count the number of dots on this peak, which is 7.
c) The proportion of pumpkins that weigh 6 pounds to those that weigh 9 pounds is 3 times.
To find the number of pumpkins that weigh 6 pounds, we count the number of dots on the peak corresponding to 6 pounds, which is 3. To find the number of pumpkins that weigh 9 pounds, we count the number of dots on the peak corresponding to 9 pounds, which is 1. Multiplying the number of pumpkins at 9 pounds by 3, we get 3 x 1 = 3, which is the same as the number of pumpkins at 6 pounds. Therefore, the statement is true.
The complete question is:-
Gina's class measured the weights of the pumpkins that they grew.
A line plot named “Pumpkin Weights” shows data from six to fourteen pounds. Six has three dots. Eight has five dots. Nine has one dot. Ten has seven dots. Twelve has four dots. Thirteen has two dots. Fourteen has one dot. Fill in the boxes to complete the sentences below to make each statement true.
a)there is a total of ____ pumpkins.
b) 7 pumpkins weigh _____ pounds.
c) the number of pumpkins that weigh ____ pounds is equal to 3 times the number of pumpkins that weigh 9 pounds.
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Identify the Greatest Common Factor of 7x4y3 − 15x3y5. (1 point)
x3y3
3x3y3
7x4y5
15x4y5
The Greatest Common Factor of 7x^4y^3 - 15x^3y^5 is 27x^3y^3.
Answer: its A
Step-by-step explanation:
i did the test
A point at (-5,7) is reflected across the x-axis. The new point is then reflected across he y-axis. What prdered pair names the third point? Explain.
Answer:
Step-by-step explanation:
Calculate the distance between the points P=(-7, -2) and E=(1,-9) in the coordinate plane.
the distance between the points P=(-7, -2) and E=(1,-9) in the coordinate plane is √113
The length of the line segment bridging two points on a plane is known as the distance between the points. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.
We have two points p=(-7,-2) and E=(1,-9)
then the distance between PE is
d=√(1+7)²+(-9+2)²
d= √(64+49)
d=√113
the distance between the points P=(-7, -2) and E=(1,-9) in the coordinate plane is √113
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Can you help me with the question in the photo attached below and remember read it first?
Scott Salman, a travel agent, is paid on variable commission, is married, and claims four withholding allowances. He receives 3% of the first $20,000 in sales, 4% of the next $10,000 in sales, and 6% of all sales over $30,000. This week he has sales of $45,550 and the following deductions: FICA, Medicare, federal withholding, state disability insurance, state withholding, a retirement contribution of $45, a savings bond of $50, and charitable contributions of $20. Find his net pay after subtracting all of his deductions.
Scott Salman's net pay after subtracting all of his deductions is $1,620.26.
How To calculate Scott Salman's net pay?
To calculate Scott Salman's net pay, we need to first calculate his commission earnings and then subtract all of his deductions.
Commission Earnings:
3% of the first $20,000 in sales = $600
4% of the next $10,000 in sales = $400
6% of all sales over $30,000 = 6% × ($45,550 - $30,000) = $930
Total commission earnings = $600 + $400 + $930 = $1,930
Now we can calculate his gross pay by adding his commission earnings to his base salary:
Gross Pay:
Base salary = 0 (not given)
Commission earnings = $1,930
Total gross pay = $1,930
Next, we need to calculate his deductions. We'll assume the following rates for each deduction:
FICA: 7.65%
Medicare: 1.45%
Federal withholding: based on the IRS tax tables (not provided)
State disability insurance: 1%
State withholding: based on the state tax tables (not provided)
Retirement contribution: $45
Savings bond: $50
Charitable contributions: $20
Deductions:
FICA = 7.65% × $1,930 = $147.45
Medicare = 1.45% × $1,930 = $27.99
Federal withholding = based on the IRS tax tables (not provided)
State disability insurance = 1%×$1,930 = $19.30
State withholding = based on the state tax tables (not provided)
Retirement contribution = $45
Savings bond = $50
Charitable contributions = $20
Total deductions = $147.45 + $27.99 + $19.30 + $45 + $50 + $20 = $309.74
Finally, we can calculate Scott Salman's net pay by subtracting his total deductions from his gross pay:
Net Pay:
Gross pay = $1,930
Total deductions = $309.74
Net pay = $1,930 - $309.74 = $1,620.26
Therefore, Scott Salman's net pay after subtracting all of his deductions is $1,620.26.
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Triangle POR with verlices P(- 13, -3). Q(-7, 3), and R(-6, 2) 270° counterclockwise rotation about C(-5, -4)
Therefore, the rotated triangle has vertices at (-5, -10), (-3, -1), and (-4, -2), which forms a new triangle.
Vertex?In mathematics, a vertex refers to a point where two or more lines, edges, or curves meet. In geometry, a vertex is a point where two or more edges of a polygon or polyhedron intersect. For example, in a triangle, each of the three points where the sides meet is a vertex.
A vertex is a fundamental unit of a graph, which is a collection of vertices connected by edges. Each vertex represents an entity or object, and the edges represent the relationships or connections between them. For example, in a social network graph, the vertices could represent individual users, and the edges could represent their friendships or connections with other users.
To perform a 270° counterclockwise rotation of a point about a center point, we can use the following formula:
[tex](x', y') = (x - a) * cos(theta) - (y - b) * sin(theta) + a, (x - a) * sin(theta) + (y - b) * cos(theta) + b[/tex]
where (x, y) is the original point, (x', y') is the rotated point, (a, b) is the center point, and theta is the angle of rotation in radians.
Let's first find the center point C(-5, -4) of the rotation. Then, we'll apply the formula to each vertex of the triangle to find its new location after the rotation.
[tex]Center point C = (-5, -4)[/tex]
Vertex P(-13, -3):
[tex]x' = (-13 - (-5)) * cos(270^{0} ) - (-3 - (-4)) * sin(270^{0} ) + (-5) = -5[/tex]
[tex]y' = (-13 - (-5)) * sin(270) + (-3 - (-4)) * cos(270) + (-4) = -10[/tex]
So, after the rotation, vertex P is at (-5, -10).
Vertex Q(-7, 3):
[tex]x' = (-7 - (-5)) * cos(270) - (3 - (-4)) * sin(270) + (-5) = -3[/tex]
[tex]y' = (-7 - (-5)) * sin(270) + (3 - (-4)) * cos(270) + (-4) = -1[/tex]
So, after the rotation, vertex Q is at (-3, -1).
Vertex R (-6, 2):
[tex]x' = (-6 - (-5)) * cos(270) - (2 - (-4)) * sin(270) + (-5) = -4\\y' = (-6 - (-5)) * sin(270) + (2 - (-4)) * cos(270) + (-4) = -2[/tex]
So, after the rotation, vertex R is at (-4, -2).
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The right triangle on the right is a scaled copy of the right triangle on the lef
Identify the scale factor. Express your answer as a whole number or fraction
in simplest form.
10
10
20
20
scalar factor= 2, in order to find the scalar factor between two triangle we need to get the ratio between any of thier side of both the triangle on same side
what is scalar factor?
In mathematics, a scalar factor is a numerical value that scales or stretches a vector or a matrix by a certain factor. In other words, a scalar factor is a constant that is multiplied to a given vector or matrix to change its size or magnitude.
In the given question,
In mathematics, a scalar factor is a numerical value that scales or stretches a vector or a matrix by a certain factor. In other words, a scalar factor is a constant that is multiplied to a given vector or matrix to change its size or magnitude.
For instance, if we have a vector v = (x, y, z), then multiplying it by a scalar factor k will result in a new vector kv = (kx, ky, kz), which is stretched or shrunk according to the value of k. Similarly, if we have a matrix A, multiplying it by a scalar factor k will result in a new matrix kA, where each element of A is multiplied by k.
in order to find the scalar factor between two triangle we need to get the ratio between any of thier side of both the triangle on same side
scalar factor= opposite side of bigger triangle / opposite side of smaller triangle
scalar factor= 20/10
scalar factor= 2
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Find the missing side lengths. Leave your answers as radicals in simplest form
Answer:
x = 5;
[tex]y = \frac{5 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
Use trigonometry:
[tex]y = \tan(45°) = \frac{ \frac{5 \sqrt{2} }{2} }{y} [/tex]
Use the property of proportion to find y:
[tex]y = \frac{ \frac{5 \sqrt{2} }{2} }{ \tan(45°) } = \frac{ \frac{5 \sqrt{2} }{2} }{1} = \frac{5 \sqrt{2} }{2} [/tex]
Use the Pythagorean theorem to find x:
[tex] {x}^{2} = {y}^{2} + { (\frac{5 \sqrt{2} }{2}) }^{2} [/tex]
[tex] {x}^{2} = {( \frac{5 \sqrt{2} }{2}) }^{2} + { (\frac{5 \sqrt{2} }{2}) }^{2} = \frac{25 \times 2}{4} + \frac{25 \times 2}{4} = \frac{50}{4} + \frac{50}{4} = \frac{100}{4} = 25[/tex]
[tex]x > 0[/tex]
[tex]x = \sqrt{25} = 5[/tex]
Find the domain and range for y=4x^2+24x+13 and f(x)=-5x+20x-7
All real numbers make up the domain of a linear function, hence the domain of [tex]f(x)=-5x+20x-7[/tex] is [tex](-\infty , \infty )[/tex] . The range of a linear function is also the set of all real numbers, hence [tex]f(x)=-5x+20x-7[/tex] has a range of (-[tex]\infty[/tex], [tex]\infty[/tex]).
What is domain and range?For the formula, [tex]y = 4x2 + 24x + 13[/tex]
All real numbers make up the domain of a polynomial function, hence the domain of y=4x2+24x+13 is [tex](-\infty , \infty )[/tex]
We can use calculus or the square root method to determine the function's range. At x=-3, where y=1, the function's minimal value is found. As a result, the function's range is [tex][1, \infty )[/tex].
Using the formula [tex]f(x)=-5x+20x-7:[/tex]
Using related words together, we obtain [tex]f(x)=15x-7.[/tex]
Therefore, All real numbers make up the domain of a linear function, hence the domain of [tex]f(x)=-5x+20x-7[/tex] is [tex](-\infty , \infty )[/tex] . The range of a linear function is also the set of all real numbers, hence [tex]f(x)=-5x+20x-7[/tex] has a range of (-[tex]\infty[/tex], [tex]\infty[/tex]).
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1.
[(F v R). (Q = L)] > [Sv (r. M)]
[Sv (r. M)]
[(F v R). (Q = L)]
This argument is invalid because the premises do not logically lead to the conclusion. The conclusion is simply a repetition of the first premise and does not follow from the second premise. The argument lacks coherence and fails to establish a clear relationship between the premises and the conclusion. Therefore, we cannot accept the conclusion as a logical consequence of the premises.
The three data sets have MAD value of 7,9 and 11. Match the data sets to the apporopriate MAD value with out actuly making a calculation.
Based on the general properties of the MAD and the characteristics of the data sets, these matches seem reasonable.
What is data set?In statistics, a dataset is a collection of data that is organized in a specific way. Typically, a dataset consists of multiple data points, where each data point represents an observation or measurement of a particular variable or set of variables.
We can make some general observations to match the data sets to the appropriate MAD value without actually calculating them:
The MAD measures the average distance between each data point and the median of the data set.
Therefore, the larger the MAD value, the more spread out the data set is.
Data set 1 will have the smallest MAD value, since it is the most tightly clustered around the median.
Data set 3 will have the largest MAD value, since it is the most spread out around the median.
Data set 2 will have a MAD value between those of data sets 1 and 3.
Based on these observations, we can match the data sets to the appropriate MAD value as follows:
Data set 1 has the smallest MAD value (7).
Data set 2 has a medium MAD value (9).
Data set 3 has the largest MAD value (11).
Of course, without actually calculating the MAD values, we can't say for certain whether these matches are correct.
Therefore, based on the general properties of the MAD and the characteristics of the data sets, these matches seem reasonable.
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If the width of a pool is 60 ft and the perimeter is 200 ft How long is the pool
Answer: The pool is 40 feet long.
Step-by-step explanation: 60ft) = 2 x 100ft = 200ft. Answer. The pool is 40 feet long.
A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 43 centimeters. The height of the figure is 34 centimeters. The portion from the vertex to the perpendicular height is 21 centimeters. The portion from a point to a vertical line created by two vertices is 16 centimeters.
Which of the following represents the total area of the figure?
1,432 cm2
2,091 cm2
2,507 cm2
2,520 cm2
2091 square meters represents the total area of the figure.
What is the example polygon?
A polygon is any two-dimensional shape formed by straight lines. Triangles, hexagons, pentagons, and quadrilaterals are examples of polygons.
Polygons are flat two-dimensional shapes with straight sides that are completely closed. The sides should be straight, not curved. However, polygons can have any number of sides. The word polygon comes from the Greek word "polgonos".
This figure is called a pentagon and has the shape of a trapezoid.
To find its area, we can calculate the area of the trapezoid, which is given by:
A = (b1 + b2)/2 * h
where b1 and b2 are the lengths of the parallel sides and h is the height.
In this case, the length of b1 is 43 meters and the length of b2 is 18 meters, and the height is 34 meters, so the area of the trapezoid is:
A = (43 + 16)/2 * 34 + (43 + 21) * 34
A = 1003 + 1088
A = 2091 square meters.
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I need help answering the this
When p = 0. 1, the mean of the sampling distribution would be 65. 5 and the standard deviation would be 7.6769.
When p = 0.5, the mean of the sampling distribution would be 327.5 and the standard deviation would be 12.7984 .
How to find the mean and standard deviation ?To find the mean and standard deviation of the sampling distribution of the sample proportion, we can use the following formulas:
p = 0.1
Mean:
μ p = n x p = 655 x 0.1 = 65.5
Standard Deviation:
σ_p = √(n x p x (1 - p)) = √(655 x 0.1 x (1 - 0.1)) = √(655 x 0.1 x 0.9) = √(58.95)
σp = 7.6769
When p = 0.5
Mean:
μ p = n x p = 655 x 0.5 = 327.5
Standard Deviation:
σ p = √(n x p x (1 - p)) = √(655 x 0.5 x (1 - 0.5)) = √(655 x 0.5 x 0.5) = √(163.75)
σp = 12.7984
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Standard Deviation. Find the Standard Deviation of the following set of data. You must fill out the table and show the ending calculations in order to get full credit here.
7.2, 8.9, 2.7, 11.6, 5.8, 10.2
show all steps
Answer:
Step-by-step explanation:
Solve the problem in the picture please!
Answer:
C. -7
Step-by-step explanation:
A rational expression will always be undefined when the denominator = 0 because we can't divide by 0.
-7 + 7 = 0 so -7 is the only number which makes the expression undefined
If his teacher used a 95% confidence interval to correctly estimate the true percentage of correct answers that he should have scored on this exam, what possible grades could the teacher reasonably assign to Gabriel
The possible range of scores is given as follows:
Anything from 21% to 59%.
The percentage that is typically assigned is given as follows:
40%.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The parameters for this problem are given as follows:
[tex]\pi = 0.4, n = 25[/tex]
Then the lower bound of the confidence interval is given as follows:
0.4 - 1.96 x sqrt(0.4 x 0.6/25) = 0.21.
The upper bound of the confidence interval is given as follows:
0.4 + 1.96 x sqrt(0.4 x 0.6/25) = 0.59.
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Calculate Average Rainfall with Total Rainfall and Average Temperature
The total rainfall is given as 16
Average rainfall is given as 1.23
The average temperature is given as 22.8
How to solve for the average rainfallwe would add all of the weekly rain values
2.6 + 1.6 + 10.2 + 1.4 + 0.2 = 16
The total rainfall is 16
The average rainfall would be 16 divided by the total number of days that we have here:
16 / 13
= 1.23
The average rainfall is 1.23
The average temperature calculationtotal temperature
22.9 + 28.5 + 24.6 + 36.2 + 19 + 20.8 + 19.4 + 22.8 + 22.6 + 21.6 + 19.6 + 19.9 + 18.3
= 296.2
average = 296.2 / 13
= 22.8
average temperature is given as 22.8
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Solve for x.
x= units
(60 points)
Answer:
277.5
Step-by-step explanation:
first you multiply 37 * 90 then you get 3330 then you divide it by 12 and you get 277.5
A cube measures 8 inches on each side. How many cubic inches can fit in the cube?
Step-by-step explanation:
So what this question is asking is the volume of the cube. volume can be found with V=lwh or V=l^3 because it is a cube. So
V=(8)^3
V=512
The cube can fit 512 cubic inches.
The shaded face of a cuboid is a square. The length of the cuboid is 25 cm and its volume is 4900 cm³. Find the length of one side of the square face.
Answer: Let's denote the length, width, and height of the cuboid as l, w, and h, respectively. We know that the shaded face is a square, which means that two of its dimensions are the same. Without loss of generality, let's assume that the dimensions of the square face are l and w.
Since the volume of the cuboid is 4900 cm³, we have:
lwh = 4900
Substituting l = 25 - w (since the length of the cuboid is 25 cm) and simplifying, we get:
(25 - w)w h = 4900
Now, we use the fact that the shaded face is a square. Since two of its dimensions are the same, we have:
l = w
Substituting this into the equation above, we get:
(25 - l)l h = 4900
Simplifying further, we have:
25l^2 - 4900 = 0
Solving for l using the quadratic formula, we get:
l = 14 or -14/5
Since the length of the cuboid cannot be negative, we have l = 14. Therefore, the length of one side of the square face is 14 cm.
Step-by-step explanation: