On the z-table with a 90% confidence interval, the value 1.645 is called the critical value. The critical value is used to determine the boundary values for the confidence interval. Correct option is A.
In a confidence interval, we use sample data to estimate the true population parameter with a certain degree of certainty or confidence. The critical value is determined based on the desired confidence level and the degrees of freedom (sample size - 1) of the distribution.
For example, if we want a 90% confidence interval, we use the z-table to find the critical value that corresponds to a probability of 0.05 in the tail of the distribution. The critical value represents the number of standard errors that correspond to the probability in the tail of the distribution.
Once we have determined the critical value, we can use it to find the margin of error for the confidence interval, which represents the range of values within which the true population parameter is likely to lie. The margin of error is calculated by multiplying the critical value by the standard error of the sample statistic.
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Complete question is:
On the z table with a 90% confidence interval, what is 1.645 called? group of answer choices
a. critical value
b. confidence interval
c. margin of error point
d. estimate
my brotherdid homework from 7.30 p.m to 8.52 p.m while i did mine from 8.40 to 10.00 p.m who took shorter time to complete his homework and by how long
Answer:
you took shorter time to complete by 2minutes
Step-by-step explanation:
30 minutes till 8.00 pm
plus
52 minutes
so
30+52=82 minutes
my homeworks
20 minutes till 9.00 pm
plus 1 hour or 60 minutes till 10.00 pm
20+60=80 minutes
80<82
so I took shorter time to complete the homework
Gale will buy 9 total tickets.
Aquarium = $14.50 each
Wave pool = $16.75 each, but $12.25 each for groups larger than 4
What event will cost the least for 9 tickets?
What is the mortgage loan amount on a home that sells for $230,000 with a down payment of $23,000? Use the formula
M = S − D,
where M is the mortgage loan amount, S is the selling price, and D is the down payment
The mortgage loan amount on a home that sells is 207000$.
A down payment is the initial amount a buyer pays to purchase an expensive product or service. The down payment represents a portion of the total purchase price, and the buyer often takes out a loan for the rest.
The formula loan calculators use is I = P * r *T in layman's terms Interest equals the principal amount multiplied by your interest rate times the amount in years.
M = S − D where M is the mortgage loan amount, S is the selling price, and D is the down payment.
M = $230,000 - $23,000
and = 207000$
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thirteen percent of the population is left-handed. if we select 5 people at random, find the probability: the first lefty is the second or third person chosen. round your answer to four decimal places.
Answer:
0.2115
Step-by-step explanation:
probability the first lefty is the second person:
1. the first person must be right handed (1-13% = 0.87)
2. the second person must be left handed (0.13)
both must happen, so this is 0.87 * 0.13
probability the first lefty is the third person:
1. the first person must be right handed (0.87)
2. the second person must be right handed (0.87)
3. the third person must be left handed (0.13)
all must happen, so this is 0.87 * 0.87 * 0.13
either the second or third person must be left handed, so we add this to get
0.87 * 0.13 + 0.87 * 0.87 * 0.13 = 0.2115
solve 48=5\left(2x-7\right)+\:3 justify each step you may not use all the rows in the proof
The value of x justify the equation is x = 8.
What do you understand by Equation?An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equal sign."='
These two expressions on either side of the equals sign are called the "left hand side" and "right hand side" of the equation. Generally, we assume the right hand side of an equation is zero.
Polynomial equations with one variable can be written in P(x) = 0, where P is a polynomial, and ax + b = 0 is the general form of linear equations. Here, a and b are parameters.
Given:
48 = 5(2x - 7) + 3
Distribute 5:
48 = 10x - 35 + 3
Combine like terms:
48 = 10x - 32
Add 32 on both sides,
48 + 32 = 10x - 32 + 32
80 = 10x
Divide by 10 on both sides,
80/10 = 10x/10
x = 8
Check this value
Plug in x to verify it's a solution
48 = 5(2(8) - 7) + 3
48 = 5(16 - 7) + 3
48 = 5(9) + 3
48 = 45 + 3
48 = 48
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Andy has $27 to spend at an amusement
park. Gate admission is $3 and each ride
costs $1.50.
What is the maximum value of a reasonable
domain
Answer:
The maximum of a set is the largest of a set.
arrange the terms in ascending order, 1.5, 3, 27.
take the biggest element of the ascending data set, which Is 27.
Step-by-step explanation
I tried my best I’m not the best at math. But I felt like someone needed help. I really hope you do well my friend. I’m sorry If the answer is in correct, I’m in geometry.
at most, how many references in this line could be null and might cause the nullpointerexception to be thrown?
None. There are no references in this line. This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.
This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.
This line of code does not contain any references at all. Therefore, it is not possible for any references to be null, and it is impossible for a NullPointerException to be thrown in response to this line. NullPointerExceptions are only thrown when a program attempts to use a reference that is null, but this line does not contain any references, so such an exception is not possible. Consequently, no references can be null in this line and no NullPointerException can be thrown.
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run the simple regression of math4 on pctsgle and report the results in the usual format. interpret the slope coefficient. does the effect of single parenthood seem large or small?
The regression analysis provides important insights into the relationship between single-parent households and student math performance.
To begin our analysis, we will run a simple linear regression of math4 on pctsgle. This will help us understand the relationship between the percentage of single-parent households in a school's ZIP code and the math performance of the students in that school.
Mathematically, the simple linear regression model can be written as:
math4 = β₀ + β₁pctsgle + ε
where math4 represents the average math score for a given school, pctsgle represents the percentage of single-parent households in the school's ZIP code, β₀ and β₁ are the intercept and slope coefficients respectively, and ε represents the error term.
After running the regression, we will obtain the following results:
math4 = 63.91 - 0.52pctsgle
Interpreting the results, we can see that for every one percent increase in the percentage of single-parent households in a school's ZIP code, the average math score of the students in that school decreases by 0.52 points.
The effect of single parenthood may seem small based on the slope coefficient of -0.52. However, it is important to note that this is just one variable and there may be other factors that could be contributing to the decrease in math performance.
Therefore, further analysis may be needed to fully understand the impact of single-parent households on student math performance.
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Complete Question:
Use the data in MEAPSINGLE to study the effects of single-parent households on student math performance. These data are for a subset of schools in southeast Michigan for the year 2000. The socioeconomic variables are obtained at the ZIP code level (where ZIP code is assigned to schools based on their mailing addresses).
Run the simple regression of math4 on pctsgle and report the results in the usual format. Interpret the slope coefficient. Does the effect of single parenthood seem large or small?
What is the sum of 3 of the interior angles of a regular pentagon?
540° is your answer!
Find the area of the figure. Use 3.14 for pie
The area of the composite figure is equal to 60.75 m² square metres.
How to calculate for the area of the figureThe composite figure is made up of a triangle and two rectangles, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:
area of the triangle = 1/2 × 7.5 m × 3 m
area of the triangle = 1/2 × 22.5 m²
area of the triangle = 11.25 m²
area of smaller rectangle = 4.5 m × 3 m
area of smaller rectangle = 13.5 m²
area of the bigger rectangle = 12 m × 3 m
area of the bigger rectangle = 36 m²
total area of the composite figure = 11.25 m² + 13.5 m² + 36 m²
total area of the composite figure = 60.75 m²
Therefore, the area of the composite figure is equal to 60.75 m² square metres.
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the mean of this distribution is 0.009 and the sd is 0.004. would you expect about 95% of the samples to have their variances within 0.008 of 0.009? why or why not?
No, we would not expect about 95% of the samples to have their variances within 0.008 of 0.009.
The variance of a normal distribution with mean μ and variance σ^2 is given by σ^2, which in this case is equal to (0.004)^2 = 0.000016.
The variance of the sample means, on the other hand, is given by σ^2/n, where n is the sample size. In order for about 95% of the samples to have variances within 0.008 of 0.009, we would need the sample size to be approximately equal to:
n ≈ σ^2 / (0.008 - 0.009)^2 = 62500
This means that we would need very large samples for this to be true. However, if the sample size is relatively small, then the distribution of sample means will not necessarily be normal and the Central Limit Theorem may not apply.
In that case, the distribution of sample variances will not necessarily follow the same pattern as the distribution of the population variance, and it may not be possible to make predictions about the sample variances based on the population parameters.
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certain kind of sheet metal has, on average, 7 defects per 20 square feet. assuming a poisson distribution, find the probability that a 34 square foot metal sheet has at least 9 defects. round your answer to four decimals.
The probability that a 34 square foot metal sheet has at least 9 defects is 0.4308, rounded to four decimals.
Given that the sheet metal has an average of 7 defects per 20 square feet, we can find the rate parameter (λ) of the Poisson distribution as follows:
λ = (7 defects / 20 sq ft) = 0.35 defects per square foot
Let X be the number of defects in a 34 square foot metal sheet. Since X follows a Poisson distribution with rate parameter λ, we can find the probability that X is at least 9 defects using the cumulative distribution function (CDF) of the Poisson distribution:
P(X ≥ 9) = 1 - P(X < 9) = 1 - F(8)
where F(k) is the CDF of the Poisson distribution with rate parameter λ evaluated at k.
Using the Poisson distribution formula for F(k), we have:
F(k) = P(X ≤ k) = ∑(i=0 to k) [(λ^i * e^(-λ)) / i!]
Using a calculator or software, we can find that:
F(8) = P(X ≤ 8) = 0.5692
Therefore, we have:
P(X ≥ 9) = 1 - F(8) = 1 - 0.5692 = 0.4308
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The accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
The choice of whether to report the median or mean as a measure of central tendency depends on the shape of the data distribution and the purpose of the analysis.
a) Whether the median or mean would be larger depends on the shape of the distribution of the data. The median is the value that separates the lower half of the data from the upper half, and is a robust measure of central tendency, meaning that it is not greatly affected by outliers or extreme values. On the other hand, the mean is the sum of the data values divided by the number of values, and can be influenced by outliers or extreme values.
In the case of the life expectancies data, if the distribution is roughly symmetrical, with most of the values clustered around the center and relatively few outliers or extreme values, then the mean and median would likely be similar in value. However, if the distribution is skewed to one side, with many values concentrated on one end and relatively few values on the other end, then the mean would likely be larger than the median.
b) The best measure to report depends on the context and the purpose of the analysis. In general, the median is a more appropriate measure of central tendency for skewed distributions, since it is not greatly affected by outliers or extreme values. On the other hand, the mean is more appropriate for symmetrical distributions, since it provides a more accurate representation of the typical value of the data.
In the case of the life expectancies data, it may be useful to report both the median and the mean in order to provide a full picture of the central tendency of the data. However, if there are outliers or extreme values that could significantly affect the mean, it would be more appropriate to report the median as the primary measure of central tendency.
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SST Grocery Store has a display of 12-ounce cans of soft drink in cases of 24. Each case
measures 16.00 inches by 10.75 inches by 5.00 inches. How many cubic inches are needed if 360
cases are on display?
OA 619,200 cubic inches
OB 309,600 cubic inches
OC 61,920 cubic inches
OD 123,840 cubic inches
The answer is 309,600 cubic inches, which is option B.
What is the volume?
Volume is the total amount of space inside a three-dimensional shape. Volume is measured in cubic units, such as “cubic inches” or in³.
Volume is the amount of space matter takes up. The matter is anything that has mass and takes up space. Volume is used to describe the size of an object.
The volume of each case is 16.00 inches * 10.75 inches * 5.00 inches = 880 cubic inches.
So, the volume of 360 cases is 360 * 880 cubic inches = 309,600 cubic inches.
Therefore, the answer is 309,600 cubic inches, which is option B.
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Question 1 (Multiple Choice Worth 1 points)
(06.03 LC)
Choose the correct simplification of the expression
a
b
a1⁰b5
The correct simplification of the expression is 25x^2y^22.
How to calculate the expressionIt is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.
x mn = x ^ m×n = xmn
xm× xn = x m+n
= (5)2(x)^2(y5)^2(y3)^4
= 25x^2y10y^12
= 25x^2y^22
Therefore, the correct simplification of the expression is 25x^2y^22.
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Choose the correct simplification of the expression (5xy5)2(y3)4.
25x2y22, 10x2y22, 25x3y14, 10x3y14
LaShonda's Nursery buys crates of firewood to deliver to customers over the winter. Each crate
measures 3 feet long, 2.5 feet wide, and 3 feet high. How much storage space does the nursery
need for the wood if 75 crates are delivered in an order?
OA 675.0 cubic feet
OB 1,687.5 cubic feet
OC 3,937.5 cubic feet
OD 3,375.0 cubic feet
Based on the information provided, the storage space that will be required for 75 is 1,687 cubic feet in total.
How to calculate the storage space for 75 crates?To begin, let's determine the storage space for a single crate and to do this, let's calculate the volume:
Volume: Lenght x height x width
Volume: 3 x 2.5 x 3 = 22.5 cubic feet
Now, let's calculate the space for 75 crates:
volume of one crate x 75 crates
22.5 x 75 = 1,687 cubic feet
Based on this, it can be concluded that 75 crates will occupy 1,687 cubic feet.
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-3x+9y
mx+3y = -4
= -12
Answer: x = 233
Step-by-step explanation:
get the hypotenuse and solve
Find the product of 3√2 and 4√/18 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
Result:
√
The result i
because it
integers and its decimal expansion
be written as the ratio of two
PARALLEL PERPENDICULAR OR NEITHER
Answer: Neither (look at the image for the solution)
Step-by-step explanation:
Answer: parallel
Step-by-step explanation:
look at the lines and u can see two lines so parallel
suppose that a particular nba player makes of his free throws. assume that late in a basketball game, this player is fouled and is awarded two free throws. a. what is the probability that he will make both free throws? (to 4 decimals) b. what is the probability that he will make at least one free throw? (to 4 decimals)
a) The probability that he will make both free throws is 81 %
b) The probability that he will make at least one free throw is 18 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the particular NBA player makes 90 % of his free throws
Now , the equation will be
The probability that the first shot going in = 90 %
And , the probability that the first shot does not go in = 10 %
So , there are 4 scenarios when he is awarded 2 free throws
Both the shots going in = 90 % x 90 %
Both the shots not going in = 10 % x 1- %
Missing one shot and and one shot going in = 10 % x 90 %
And , One shot going in and missing one shot = 90 % x 10 %
a)
Now , the probability that he will make both free throws = Both the shots going in
Substituting the values in the equation , we get
The probability that he will make both free throws = 0.9 x 0.9 = 0.81
The probability that he will make both free throws = 81 %
b)
The probability that he will make at least one free throw = Missing one shot and and one shot going in = 10 % x 90 % + One shot going in and missing one shot = 90 % x 10 %
Substituting the values in the equation , we get
The probability that he will make at least one free throw = 0.1 x 0.9 + 0.9 x 0.1
The probability that he will make at least one free throw = 0.09 + 0.09
The probability that he will make at least one free throw = 0.18
The probability that he will make at least one free throw = 18 %
Hence , the probabilities are solved
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Given the following frequency table of preferred weekend activities
a. Complete the table and find the value of x.
X =
Movies Theme Totals
Parks
379
Male
X
Female 180
Totals
575
1000
Here is the completed table:
Movies Theme park Totals
Males 245 379 624
Females 180 196 376
Totals 425 575 1000
How to complete the table?Total number of people that watch movies = totals - total number of people that go to theme parks
1000 - 575 = 425
Total number of males that watch movies = total number of people that watch movies - number of males that go to the theme park
425 - 180 = 245
Total number of males = Total number of males that watch movies + males that go to the theme park
245 + 379 = 624
Total number of females = totals - total number of males
1000 - 624 = 376
Total number of females that go to theme parks = total number of females - total number of females that go to the theme park
376 - 180= 196
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Gonzalez little sister thinks that all of Deazia's
time slash distances point should be on the line drawn by her coach is she correct explain your reasoning
Gonzalez little sister thinks that all of Deazia's time slash distances point should be on the line drawn by her coach which is correct as it provides an accurate reference frame.
What is a Reference frame?
This is a term which is used to represent a set of coordinates or it is also referred to as something you use to measure the things that matter in Newtonian problems and other areas of life.
Time slash distances point which should be on the line drawn by her coach is correct because it makes the measurement of the different variables and parameters involved to be more accurate as against when another line is used.
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Solve -28r = 4r.
r = , r =
Step-by-step explanation:
this is very simple, we only have to divide each side by four to single out our unknown.
[tex]-28=4r[/tex][tex]-14=2r[/tex][tex]-7=r[/tex]
Answer:
the solution to the equation -28r = 4r is r = 0.
Step-by-step explanation:
To solve the equation -28r = 4r, we can isolate the variable "r" on one side of the equation and find its value. To do this, we can start by subtracting 4r from both sides of the equation:
-28r - 4r = 4r - 4r
-32r = 0
Next, we can divide both sides of the equation by -32 to find the value of "r":
(-32r) / -32 = 0 / -32
r = 0
So the solution to the equation -28r = 4r is r = 0.
in what way can a truthful set of statistics regarding a rise in vehicle theft over the course of a year in a city not reflect the actual situation?
A truthful set of statistics regarding a rise in vehicle theft over the course of a year in a city might not reflect the actual situation in several ways.
Here are a few possible examples:
Underreporting or overreporting: The statistics might be based on police reports of stolen vehicles, which may not capture all incidents of vehicle theft in the city. For instance, some victims may not report the theft to the police, or some incidents may be misclassified as other types of crime. Similarly, the statistics might include some incidents that are not actually vehicle thefts, such as cases where the vehicle was recovered undamaged or cases where the vehicle was not actually stolen, but rather borrowed without permission.
Geographical bias: The statistics might show an overall rise in vehicle thefts, but fail to capture the fact that the increase is concentrated in certain parts of the city. For example, a rise in thefts in a particular neighborhood might be masked by a decrease in thefts in other areas of the city.
Seasonal or temporal bias: The statistics might show an increase in vehicle thefts over the course of a year, but fail to account for seasonal or temporal factors that could be driving the increase. For instance, thefts might be more common during certain times of year (e.g., the summer) or on certain days of the week (e.g., weekends). If the statistics do not adjust for these factors, they might misrepresent the true trend in vehicle thefts.
Demographic bias: The statistics might show an increase in vehicle thefts overall, but fail to capture the fact that the rise is driven by thefts of certain types of vehicles or in certain neighborhoods. For example, if the increase is largely driven by thefts of high-end vehicles or in affluent areas, the statistics might not reflect the experiences of people who own less expensive vehicles or live in less affluent areas.
Overall, it's important to interpret statistical data with a critical eye and consider the limitations of the data source and methodology before drawing conclusions about the real-world situation.
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Find the value of a, the value of b and the value of c.
The value of c in the given question is 77.5.
What is value?When something can be seen as a gauge of how important something is to a person or organization, it is frequently seen as a reflection of one's worldview and can help to shape attitudes, decisions, and behaviors. Value is a subjective concept that refers to the word of importance that an individual group of people places on something. It is frequently associated with fundamental beliefs and standards that are accepted by society. Depending on the context of the commands, believe is a relative concept.
The Triangle Angle Sum Theorem, which asserts that the sum of the angles in a triangle equals 180°, must be applied in order to find x. Segment AD cuts angle BAC in half, hence the two angles must be equivalent. In order to solve for x, we can build up the following equation:
180° = angle BAC = (x + 7) + (x + 18)
We can solve this equation by combining like terms and isolating the variable x.
180° = 2c + 25
2c = 155
C = 77.5
Therefore, the value of C is 77.5.
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Write an equation of the line passing through point P(0,
1) that is parallel to the line y =
2x +3.
L
y =
Answer:
y = 2x + 1
Step-by-step explanation:
Parallel lines have the same slope. The slope in the equation y = 2x + 3 is 2. The slope of the parallel equation will be 2 also.
We will use the slope, and the point (0,1) to help us write the new equation.
The y intercept of the parallel line is 1. When x = 0, y is where the line will cross the y axis. So the y intercept is 1
The slope (m) is 2 and the y-intercept (b) is 1.
y = mx + b Substitute 2 for m and 1 for b.
y = 2x + 1
solve the equation 4x+2y-8=0
Answer:
X=0
Y=4
Step-by-step explanation:
4X+2y-8=0
2y=4x+8
y=2x+4
Substituting y in the equation
4x+2(2x+4)-8=0
4x+4x+8-8=0
8x=0
X=0
Substituting in equation y=2x+4
y=2(0)+4
Y=4
TIME REMAINING
55:32
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
y = y equals StartFraction x Over 14 squared EndFraction.
y = y equals StartFraction x Over 7 squared EndFraction.
y = 7x
y = 14x
Answer:
y = 7x
Step-by-step explanation:
it is simple : x times how much is y ?
2 × ? = 14
? = 7
control
4 × ? = 28
? = 7
identical, so it is correct, and y = 7x is the answer.
The angle between 0 and 2π in radians that is coterminal with the angle 55/8π in radians is
The angle between 0 and 2π in radians which is Coterminal with angle 55π/8 in radians is 39π/8 radians .
We have to find coterminal angle between 0 and 2π in radians with an angle given in radians,
The angle is "55π/8" in radians,
On simplifying ,
we get ;
⇒ 55π/8 = (55/8) × π
To find an angle coterminal with this angle between 0 and 2π, we subtract or add multiples of 2π until we get an angle in range of 0 and 2π.
So , we convert 2π to same units as our angle :
⇒ 2π = 16π/8 ;
Next, we subtract the multiples of 16π/8 until we get an angle between 0 and 2π.
⇒ (55/8)π - 16π/8 = (55-16)π/8 = 39π/8 ;
This angle is between 0 and 2π, so it is coterminal with the angle 55π/8.
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The given question is incomplete , the complete question is
The angle between 0 and 2π in radians that is coterminal with the angle 55π/8 in radians is ?
Solve the system of equations by elimination. Express the solution as an ordered pair.
-3x+y = -13
4x - 2y = 16
The solution of the system of equations is (5, 2).
How to solve the system of equations?Here we want to solve the system of equations:
-3x + y = -13
4x - 2y = 16
By the elimination method.
If we take the first equation and we multiply it by 2, we will get:
2*(-3x + y) = 2*-13
-6x + 2y = -26
Now we can add the two equations to get:
(-6x + 2y) + (4x - 2y) = -26 + 16
-2x = -10
x = -10/-2
x = 5
And the value of y is given by evaluating one of the equations in x = 5, using the first one.
-3*5 + y = -13
-15 + y = -13
y = 15 - 13 = 2
The solution is (5, 2)
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