Using the z-distribution, it is found that a sample size of 3,385 is required.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.
We have no prior estimate, hence [tex]\pi = 0.5[/tex] is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.327 \times 0.5[/tex]
[tex]\sqrt{n} = \left(\frac{2.327 \times 0.5}{0.02}\right)[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.327 \times 0.5}{0.02}\right)^2[/tex]
n = 3,385.
A sample size of 3,385 is required.
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For the inequality y−x>−x2−1, where is the graph shaded and is the curve solid or dotted?
The curve will be dotted and upper portion of the graph will be shaded.
Inequality expressionInequality are expressions not separated by an equal sign Given the following inequality
y−x>−x2−1
Equate to zero
y > x^2 + x -1
Since the inequality sign in the given expression is a less than sign, hence the curve will be dotted.
Also, since the inequality sign is a "greater than", hence upper portion of the graph will be shaded.
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What is the distance between point (3, 2) and line
1
y=-x-9
4
Select the best answer from the cholces provided.
OA.
OB. 41
√5
O C.
41
√17
O D.
13
2
2
√17
The distance between the coordinate point (3, 2) and line y = ¹/₄x - 9 is; 10.25 units
How to find the distance between a line coordinate?
We want to find the distance between the coordinate point (3, 2) and line y = ¹/₄x - 9.
Thus, we will plug in 3 for x in the line equation given to get;
y = ¹/₄(3) - 9
y = 0.75 - 9
y = -8.25
Thus, we can say that point on the line is (3, -8.25)
The difference in y-values would give us the required distance;
Required distance = -8.25 - 2
Required distance = -10.25
However distance cannot be negative and so we will take the absolute value as 10.25 units.
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A university is interested in whether there's a difference between students who live on
campus and students who live off campus with respect to absenteeism. Over one
semester, researchers take random samples of on-campus and off-campus students and
record the following number of missed classes over a semester:
On-campus: (3, 4, 0, 6, 2, 1, 3, 3, 5, 2, 4, 4, 6, 5, 2)
Off-campus: (6, 5, 2, 6, 2, 0, 7, 8, 1, 7, 2, 6, 5, 3, 2)
A. Would we use a t confidence interval or a z confidence interval to determine
whether there's a significant difference between the two groups? What are
the conditions for using this kind of confidence interval? Do these data meet
the necessary conditions? Use sketches of modified box-and-whisker plots to
support your decision. (2 points)
B. What are the degrees of freedom (k) for this test using the conservative
method? (Hint: Don't pool and don't use your calculator.) (1 point)
C. What are the sample statistics for this test? Consider on-campus students to
be sample one and off-campus students to be sample two. (2 points)
D. Compute a 95% confidence interval for the difference between the number of
classes missed by each group of students. (2 points)
E. Compute a 90% confidence interval for the difference between the number of
classes missed by each group of students. (2 points)
F. Based on the two confidence intervals you computed in parts d and e, draw a conclusion about the differences between the means of the two groups.
It is to be noted that the determination of whether or not there is a significant difference between the two groups will be done using a t test.
What is a t test?
A t-test is a statistical test that juxtaposes two samples' means. It is used in hypothesis testing, using a null hypothesis that the variance in group means is zero and an alternative hypothesis that the difference is not zero.
What are the conditions for using this kind of confidence interval?The conditions to use the t test are:
The sample must be independentThe mean of the population and variance must be unknown.The Box plot is attached.What are the degrees of freedom (k) for this test using the conservative method?The degrees of freedom (k) to be utilized for this text will be derived using the conservative method given below:
df = [(s₁²/n₁) + (s₂²/n²)/[((s₁²/n₁)²/((n₁-1)) + (s₂²/n₂)²/((n₂-1))]
= [(3.0952/15) + (6.4095/15)]² / [((3.0952/15)²/14) + ((6.4095/15)²/14)]
= 24.965
Hence,
df ≈ 24 (if approximated to the floor)
What are the sample statistics for this test?Recall the the standard deviation of the population are unequal and unknown. This thus requires that we utilize the two-sample unpooled t-test.
Here, H₀ is given as;
[tex]t = \frac{\bar{x_{1} -\bar{x_{2}}}}{\sqrt{\frac{s_{1}^{2} }{n_{1} } + \frac{S_{2}^{2} }{n_{2}} } } \sim t_{df}[/tex]
t = [(3.33333 - 4.13333)]/√[(3.0952/15) + (6.4095/15)]
= - 0.8/√0.6337
t = - 1.005
What is the 95% confidence interval for the difference between the number of classes missed by each group of students?
The 95% confidence interval is computed using the following formula:
[tex](\bar x_{2} - \bar x_{1}) \pm t_\alpha_/_2_,_df \left({\sqrt{\frac{S_{1}^{2} }{n_{1} } + \frac{S_{2}^{2} }{n_{2}} } } \right)[/tex]
= - 0.8 ± t₀.₀₂₅,₂₄ (√0.6337)
= - 0.8 ± 2.064 (√0.6337)
= -2.4429, 0.8429
What is the a 90% confidence interval for the difference between the number of classes missed by each group of students?To derive the 90% interval, we state:
[tex](\bar x_{2} - \bar x_{1}) \pm t_\alpha_/_2_,_df \left({\sqrt{\frac{S_{1}^{2} }{n_{1} } + \frac{S_{2}^{2} }{n_{2}} } } \right)[/tex]
= - 0.8 ± t₀.₀₅₀,₂₄ (√0.6337)
= - 0.8 ± 0.685 (√0.6337)
= -2.162, 0.562
Based on the two confidence intervals computed in parts d and e, what is the conclusion about the differences between the means of the two groups?
From the intervals computed, we must fail to reject H₀
H₀ : μ₁ = μ₂
It is clear from the above intervals computed from that the differences between the mean of both groups is significant. This is because, zero is included on the two intervals.
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if x+y=7/10 and x-y=5/14 then x^2-y^2=?
Add both
2x=1x=1/2=0.5Put in first one
y=0.7-0.5y=0.2Find
x²+y²(0.5)²+(0.2)²0.25+0.040.29true or false, [tex]\pi[/tex] only used to determine the area of a circle?
Graph the line. y = -1/5x-5 Both points y and x
Answer:
connect the dots (0, -5) and (5, -10).
a = 2bh+6
make b subject algebraic expression
Answer:
b = (a - 6)/2h
Step-by-step explanation:
a = 2bh + 6 (subtract 6 from both sides)
a - 6 = 2bh (divide both sides by 2)
(a - 6)/2 = bh (divide both sides by h)
(a - 6)/2h = b
Brainliest, please :)
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number.
The number whose sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed is 32
Equationx = tens digit y = ones digitthe number can be expressed as 10x + y
x + y = 5
nine is subtracted from the number(10x+y) - 9
= 10y+x
x + y = 5
9x - 9y = 9
x + y = 5
x - y = 1
Add the equations
2x = 6
x = 6/2
x = 3
substitute into
x + y = 5
3 + y = 5
y = 5 - 3
y = 2
Therefore, the unknown number is 32.
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Find the solution to m^2+9m=0
Work Shown:
m^2+9m=0
m(m+9)=0
m = 0 or m+9 = 0
m = 0 or m = -9
For more information, check out the topics about factoring and the zero product property.
Will give 80 points!
Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 60 165
Age 15 and above 65 195
Column totals 152 110 98 360
What percentage of students under age 15 travel to school by car? Round to the nearest whole percent.
11%
18%
41%
Answer:
There are about 80 students age 15 and above take a car to school.
Step-by-step explanation:
1. For all the columns the total has been given.
2. Bus is taken as 60 as walk/bike has been given 65 under age 15.
3. 195 row total Age 15 and above has been provided and updated.
4. Walk/Bike 152, 65 is already given Age 15 and above difference is 87.
5. Bus 60 under age 15 is already given total 110 difference is 50.
6. Age 15 and above 65,50,195 (Total) is already given row difference is 80.
7. Car is Age 15 and above is 80 and Total column is 98 difference is 18.
8. Age 15 and above take car is 80.
Answer:
its 41%
Step-by-step explanation:
i took the test
Induced pluripotent stem cells are cells from adults that have been reprogrammed to imitate embryonic stem cells. Why might induced pluripotent stem cells be a valuable tool in science and medicine?
Induced pluripotent stem cells can be a valuable tool in science and medicine because: A. induced pluripotent stem cells can become any cell type in the body, but are from adults, avoiding the controversies associated with embryonic stem cells.
What is a cell?A cell can be defined as the fundamental functional, structural and smallest unit of life, which is typically found in all living organisms.
In Science, all living organisms are broadly grouped into two (2) main categories according to cell type and these include the following;
Unicellular organismsMulticellular organismsBasically, the reason why induced pluripotent stem cells can be a valuable tool in science and medicine is simply because they can become any cell type within the body of a living organism, but are usually derived from adults that are avoiding the controversies associated with embryonic stem cells.
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Complete Question:
Induced pluripotent stem cells are cells from adults that have been reprogrammed to imitate embryonic stem cells. Why might induced pluripotent stem cells be a valuable tool in science and medicine?
A. Induced pluripotent stem cells can become any cell type in the body, but are from adults, avoiding the controversies associated with embryonic stem cells
B. Induced pluripotent stem cells are the only type of stem cell that's truly pluripotent.
C. Induced pluripotent stem cells may become any cell type in the body, but are fraught with ethical questions over their use.
D. Induced pluripotent stem cells are derived from adult cells and therefore may have DNA abnormalities, allowing scientists to understand the effects of sun exposure or toxins on DNA
Factor the greatest common binomial factor from each polynomial
6x^2(5x-1) +5x-1
The factored polynomial is given as follows:
(5x - 1)(6x² + 1)
How are polynomials factored?Polynomials are factored placing the common factor in evidence, then dividing all terms by the common factor.
The polynomial is:
6x²(5x - 1) + (5x - 1).
The common factor is (5x - 1), hence:
[tex](5x - 1)\left(\frac{6x^2(5x - 1)}{5x - 1} + \frac{5x - 1}{5x - 1}\right) = (5x - 1)(6x^2 + 1)[/tex]
Hence the factored polynomial is given as follows:
(5x - 1)(6x² + 1)
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The equation T^2= A^3 shows the relationship between a planets orbital period, T, and the planets mean distance from the sun, A, in astronomical units, AU. if the orbital period of planet Y is twice the orbital period of planet x, by what factor is the mean distance increased?
The mean distance increased by a factor of 2^(²/₃)
How to find the factor of increase?
The given equation for the relationship between a planet's orbital period, T and the planet's mean distance from the sun, A is;
T² = A³.
Let the orbital period of planet X = T(X).
Let the orbital period of planet Y = T(Y).
Let the mean distance of planet X from the sun = A(X).
Let the mean distance of planet Y = A(Y).
Thus;
A(Y) = 2A(X)
Therefore;
[T(Y)]² = [A(Y)]³ = [2A(X)]^3
However, [T(X)]² = [A(X)]³
Thus;
[T(Y)]² = 2³[T(X)]² * [T(Y)]²/[T(X)]² = 2³T(Y)/T(X) = 2^(³/₂)
That's for orbital period but the mean distance will increase by 2^(²/₃)
Thus we conclude that, the mean distance increased by a factor of 2^(²/₃)
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Answer:
2 Superscript three-halves
Step-by-step explanation:
Edge
Question 2: 11 pts
A coin is tossed three times. Find the probability that 2 heads and 1 tail turn up in any order.
Answer:
3/8 or 0.375 or 37.5%
Step-by-step explanation:
So since the coin is tossed three times, it's not to hard to write out every scenario since there will only be 2^3 combinations or 8 combinations. But we can also use Binomial Distribution Formula.
Binomial Distribution Formula:
[tex]P(x)=(^n_x)p^xq^{n-x}[/tex]
Where p = probability of success and q=probability of failure, x=how many successes, and n=total number of trials
Combination Formula:
[tex](^n_x) = \frac{n!}{x!(n-x)!}[/tex]
So let's define the variable values, since it's a coin, the probability of heads/tails should be 50/50 so p=0.50 and q=0.50. Since we want 2 heads then x=2, and since the total number of trials is 3, n=3.
So let's plug the values into the equation:
[tex]P(x)=\frac{3!}{2!}*(0.50)^2*(0.50)^1[/tex]
Rewrite 0.50 as a fraction
[tex]P(x)=\frac{3*2*1}{2*1}*(\frac{1}{2})^2*(\frac{1}{2})^1[/tex]
Cancel out values in fraction, and also square the fraction
[tex]P(x)=3*\frac{1}{4}*\frac{1}{2}[/tex]
Multiply fractions
[tex]P(x)=3*\frac{1}{8}[/tex]
Multiply the two values
[tex]P(x)=\frac{3}{8}[/tex]
This means the probability is 3/8 or 0.375 or 37.5%
I also provided a diagram on how to just draw out each scenario/combination
Select the story problem that this division problem represent 1/2 2/5
The story that the fraction given represents is that A. A whiteboard is 2/5 Meyer long and has na area of 1/3 square meter. How wide is the whiteboard?
How to illustrate the fraction?From the information given, it should be noted that the fraction given is 1/2 ÷ 2/5.
Therefore, this is represented by the story that a whiteboard is 2/5 Meyer long and has na area of 1/3 square meter. How wide is the whiteboard?
In conclusion, the correct option is A.
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The story problem that this division problem represent 1/2 ÷ 2/5 is a whiteboard is 2/5 meter long and has an area of 1/2 square meter. How wide is the white board and is denoted as option A.
What is a Fraction?This is a description which represents a part of a whole.
The area of a rectangular shape of length L and width W is:
A = L×W
W=A/L
Only option A uses 1/2 as the area of the whiteboard and 2/5 is the other side of the board.
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If you use your office computer 20 hours per week, and do not unplug it when it is not in use, how much carbon dioxide is produced from the vampire energy used by the office computer in one year ? help (energyvampires)
Express your answer rounded to the nearest tenth of a pound of carbon dioxide.
The carbon dioxide that is produced from the vampire energy used by the office computer is 1042.8 kWh.
How to calculate the value?Based on the information given, the number of hours that the computer is plugged on a day will be:
= 20/7
= 2.857 hours
Therefore, the power consumption in a year will be:
= 2.857 × 365
= 1042.8 kWh
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At the movie theater, child admission is $5.50 and adult admission is $9.00. on Thursday, 148 tickets were sold for a total sales of $992.50. how many adult tickets were sold that day
Answer:
51 Adult tickets were sold that day.
Step-by-step explanation:
Let c = child and a = adult
c + a = 148 5.50c + 9.00a = 992.50
Change the first equation so that it is either in the form c = or a =and then plug that number into the second equation.
I am going to change the first equation to c = by subtracting a from both sides
c = 148 - a
Now I am going to plug 148 -a for c in the second equation.
5.5(148 - a) + 9a = 992.5 Next distribute the 5.5
814 - 5.5a + 9 a = 992.5 Add the a terms together
814 + 3.5a = 992.5 Subtract 814 from both sides
3.5a = 178.5 Divide both sides by 3.5
a = 51
CAB SOMEONE HELP ME ASAP PLS
Here is the question in the image
The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).
The distance between the two edges is 120 centimeters.
The equation for the parabolic mirror is x + 32 = (2/225) · y².
How to analyze a parabolical mini-solar cooker
Herein we must understand the geometry of the design of the mini-solar cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:
[tex]y = \pm \sqrt{(68\,cm)^{2}-(32\,cm)^{2}}[/tex]
y = ± 60
The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.
Lastly, the equation of the parabolic mirror can be determined based on the equation of the parabola in vertex form:
x - h = C · (y - k)² (1)
Where:
h, k - Coordinates of the vertex
C - Vertex constant
If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:
0 + 32 = C · 60²
C = 2/225
Then, the equation for the parabolic mirror is x + 32 = (2/225) · y².
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An object moves in simple harmonic motion with period 6 seconds and amplitude 7cm. At time t=0 seconds, its displacement d from rest is -7cm, and initially it moves in a positive direction.
Give the equation modeling the displacement d as a function of time t.
The equation modeling the displacement 'd' as a function of time is d (t) = 7 sin ( 3π t)
What is simple harmonic motion?
Simple harmonic motion can be defined as a periodic motion of a point in a straight line, such that its acceleration is towards a fixed point and is proportional to its distance from that point to the line.
It is derived from the projection to the axis of a circle of a point in constant speed on the circumference
Displacement is represented thus;
d ( t ) = A sin ( 2 π f t )
T = 1/f
Where,
d is the displacement A is the amplitude = 7cmT is the period = 6 secondsNote that there is no phase shift
d (t) = 7 sin ( 2π × 1/ 6 t)
d (t) = 7 sin ( 2π/6 t)
d (t) = 7 sin ( 3π t)
Thus, the equation modeling the displacement 'd' as a function of time is d (t) = 7 sin ( 3π t)
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Two sides of a triangle have lengths 18m and 23m. Describe the possible length of the thired side
The possible length of the third side will be values that are less than 41 and greater than 5
Triangular theoremFor three sides to be the sides of a triangle, the sum of any two sides of the triangle must be greater than the third.
Given the two sides of a triangle have lengths 18m and 23m, the sum of the sides is given as:
sum = 18 + 23
Sum = 41
Let the third side be x, such that;
x + 18 >23
23 + x > 18
x > 23 - 18
x > 5
Similarly
x > -5
Hence the possible length of the third side will be values that are less than 41 and greater than 5
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What are the values of a₁ and r of the geometric series?
2-2+2-2+2
O
a₁ = 2 and r=-2
O a₁ = -2 and r = 2
O
a₁ = -1 and r = 2
a₁ = 2 and r=-1
Answer:
Step-by-step explanation:
Therefore, the values of
a
1
and r are 2 and -1, respectively.
The values of a₁ and r of the geometric series are 2 and -1 respectively.
What is Geometric Sequence?Any term divided by the preceding term is a constant in a geometric series. The common ratio of the sequence is the name given to this constant. Any term in the sequence can be divided by the prior term to determine the common ratio.
We have the series 2, -2, 2, -2, ......
Here, The first term is 2.
and, the Common Ratio = -2 / 2
= 2/(-2)
= -1
So, the first term is 2 and r is -1.
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Which of the following are identities?
Answer:
A
Step-by-step explanation:
I. False. Consider y = 3 and x = 4.
II. False. Consider x = 1.
III. False. Consider x = -2.
I need help with this geometry question asap!
Answer:
True
Step-by-step explanation:
Lines in three dimensions can be one of ...
coincidentparallelintersecting (at one point)skewCoplanarLines are coplanar when a plane can be defined that includes the entirety of both of them. In the attached image, lines m₁ and n intersect and both lie in the gray plane. They are coplanar.
Lines m and m₁ are parallel, and both are contained in the turquoise plane. They are coplanar. A plane can always be drawn that will contain a pair of parallel lines. That is, any two parallel lines must be coplanar.
The lines m and n in the figure are skew, non-intersecting and non-parallel. They cannot be contained in a single plane.
__
Additional comment
Three or more parallel lines may not be coplanar. They will only definitely be coplanar when considered in pairs.
4. G.CO.10 In the figure below, p ll q. What is the value of x? *
O A. 7
B. 68
C. 59
OD. 44
136
121
The measure of the angle x is 77 degrees if two lines are parallel to each other or p ll q option (A) is correct.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two lines that are parallel to each other or p ll q
The angle made by transversal t is 136 degrees
The measure of the other angle = 180 - 136 = 44 degrees
Draw a line parallel to p and q and passes through the intersection point of line t and v
The angle made by the transversal and the line drawn is the same as 44 degrees.
The measure of the other angle = 121 - 44 = 77 degrees
Thus, the measure of the angle x is 77 degrees if two lines are parallel to each other or p ll q option (A) is correct.
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The quantities xxx and yyy are proportional. xxx yyy 777 353535 121212 606060 202020 100100100 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
The constant of proportionality of our given tables is; 5.
How to find the constant of Proportionality?We are given that x and y are proportional, and this means that:
y = r*x
where;
r is the constant of proportionality.
We are given the table;
x y
7 35
12 60
20 100
Now, we can replace those values in our equation and get, for the first pair: 35 = r*7
r = 35/7 = 5
For the second pair:
60 = r*12
60/12 = r
r = 5
Thus, we can conclude that the constant of proportionality is 5.
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Answer: 3
Step-by-step explanation:
Determine an approximate value for y if the coordinate (-0.5387 ,y) is on the unit circle
Answer:
y = 0.8425 or y = -0.8425
Step-by-step explanation:
All points in the Cartesian coordinate system have an x and y coordinate, defined by two perpendicular measurements.
If the point is on the unit circle, then the radius of the circle is defined to be 1 unit, and the corresponding right triangle follows the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
For a unit circle:
[tex]x^2+y^2=1^2[/tex]
Substituting the known value for x, and simplifying...
[tex](-0.5387)^2+y^2=(1)^2[/tex]
[tex]0.29019769+y^2=1[/tex]
Subtracting 0.29019769 from both sides to begin to isolate "y"...
[tex]y^2=1-0.29019769[/tex]
[tex]y^2=0.70980231[/tex]
Applying the square root property...
[tex]\sqrt{y^2}=\pm \sqrt{0.70980231}[/tex]
[tex]y=\pm 0.8424976171...[/tex]
So, (to 4 decimal places), the y coordinate could be either 0.8425 or -0.8425.
With only the given information, either result is a valid answer.
You have nine line segments with the lengths of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively.
How many ways are there to form a square by connecting the ends of some of these
line segments? No overlapping of the line segments is allowed.
The number of ways to forma a square by connecting the ends of some of the line segments is 3, 024 ways
What is permutation?From the given information, we should use the formula for permutation without repetition.
The formula is given as;
Permutation = [tex]\frac{n!}{n -r !}[/tex]
Where n = number of set = 9
r = 4, this is so because, the sides of a square a four
Permutation = [tex]\frac{9!}{9 - 4!}[/tex]
Permutation = [tex]\frac{9!}{5!}[/tex]
Permutation = [tex]\frac{362, 880}{120}[/tex]
Permutation = 3, 024 ways
Thus, the number of ways to forma a square by connecting the ends of some of the line segments is 3, 024 ways
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Please help me with this I need the answers please
i think this is the answer
Write a word problem involving finding two real numbers that could be solved with the
equation x(9-x)=14 .
The word problem that depicts this algebraic equation is;
The sum of the weight of my son and my daughter is 9 kg but the product of their weights is 14. Find the weights of each person.
How to write Algebraic Word Problems?We want to write a word problem with the equation;
x(9 - x) = 14
The word problem that depicts this algebraic equation is;
The sum of the weight of my son and my daughter is 9 kg but the product of their weights is 14. Find the weights of each person.
Now, the word problem above is correct because if we assume their weights are x and y, then we can say that;
x + y = 9
xy = 14
Now, y = 9 - x
Thus, equation 2 is;
x(9 - x) = 14
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