1. Replace the white bread with whole grain bread
2. Replace the turkey with a leaner meat, such as chicken or turkey bacon
3. Replace the mayonnaise with low-fat Greek yogurt
4. Replace the provolone cheese with a lower-fat cheese such as mozzarella
5. Reduce the amount of lettuce used
6. Replace the tomato slice with tomato slices or tomato paste.
To lower the fat content of the sandwich, you can make these changes:
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how can you make two pairs of adjacent and vertical angles but explained in a simple way.
Answer:
there
Step-by-step explanation:
8. describe the center and spread of the chi-square distributions. 9. what is the chi-square test statistic? is it on the formula sheet? what does it measure? 10. how many degrees of freedom does the chi-square distribution have? 11. what is the rule of thumb for all expected counts in a chi-square goodness of fit test?
8. Spread = SD = sqrt(2*df)
9. The difference between the observed and expected frequencies of the outcomes of a set of events or variables.
10. Degrees of 1 freedom does the chi-square distribution.
11. The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.
8. Describe the center and spread of the chi-square distributions.
Shape - skewed right because can't be zero
µ = df = tipping point
mode = df - 2 = peak
spread = SD = sqrt(2*df)
9. Chi-square test is a non-parametric test (a non-parametric statistical test is a test whose model does not specify conditions about the parameter of the population from which the sample is drawn.). It is used for identifying the relationship between a categorical variable and denoted by χ2.
10. A chi-squared distribution constructed by squaring a single standard normal distribution is said to have 1 degree of freedom. Thus, as the sample size for a hypothesis test increases, the distribution of the test statistic approaches a normal distribution.
11. The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.
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one number is four more than a second number. two times the first number is 2 more than four times the second number. what are the two numbers?
The two numbers are 6 and 2.
Let's assume the first number is x and the second number is y.
From the first statement, we can write the equation x = y + 4.
From the second statement, we can write the equation 2x = 4y + 2.
Now, we can substitute x in terms of y from the first equation into the second equation:
2(y + 4) = 4y + 2
Simplifying this equation, we get:
2y + 8 = 4y + 2
2y = 6
y = 3
Substituting y = 3 in the first equation, we get:
x = y + 4 = 3 + 4 = 7
Therefore, 6 and 2 are the two numbers,
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a pwr core contains about 50000 fuel rods. if the probability to find one defective fuel rod is 0.1%, what is the probability to find 10 defective cores
The probability of finding 10 defective cores in a sample of 10 power cores is approximately 0.0000161, or about 0.0016%.
Assuming that each fuel rod is independent of each other and that the probability of finding a defective fuel rod is constant at 0.1%, we can model the number of defective fuel rods in a power core with a binomial distribution. Let X be the number of defective fuel rods in one power core, then X follows a binomial distribution with parameters n = 50000 and p = 0.1/100 = 0.001.
To find the probability of finding 10 defective cores, we can use the binomial distribution again, but with a different set of parameters. Let Y be the number of defective cores in a sample of 10 power cores, then Y follows a binomial distribution with parameters n = 10 and p = P(X ≥ 1), where P(X ≥ 1) is the probability of finding at least one defective fuel rod in one power core. We can find P(X ≥ 1) using the complement rule:
P(X ≥ 1) = 1 - P(X = 0)
= 1 - (1 - 0.001)^50000
≈ 0.3935
So, the probability of finding 10 defective cores in a sample of 10 power cores is:
P(Y = 10) = (10 choose 10) * (0.3935)^10 * (1 - 0.3935)^(10 - 10)
≈ 0.0000161
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Complete Question:
a power core contains about 50000 fuel rods. if the probability to find one defective fuel rod is 0.1%, what is the probability to find 10 defective cores.
math hw please helpppp
The characteristics of each function has been explored based on the table below.
The graph of each function is shown in the image attached below.
How to complete the table and graph the functions?In order to use the given functions to complete the table, we would have to substitute each of the values of x (x-values) into the function and then evaluate as follows;
A. f(x) = 2x
x process f(x)
-2 f(-2) = 2(-2) -4
-1 f(-1) = 2(-1) -2
0 f(0) = 2(0) 0
1 f(1) = 2(1) 2
2 f(2) = 2(2) 4
B. G(x) = x²
x process f(x)
-2 f(-2) = (-2)² 4
-1 f(-1) = (-1)² 1
0 f(0) = (0)² 0
1 f(1) = (1)² 1
2 f(2) = (2)² 4
B. H(x) = 2ˣ
x process f(x)
-2 f(-2) = (2)⁻² 1/4
-1 f(-1) = (2)⁻¹ 1/2
0 f(0) = (2)⁰ 1
1 f(1) = (2)¹ 2
2 f(2) = (2)² 4
In this scenario and exercise, we would use an online graphing calculator to plot each of the given functions as shown in the graph attached below.
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Locate each of the stations on the accompanying map of California. Us a compass to drawa circle centered on each city station with a radius corresponding to the distance determined to the epicenter from that station. The horizontal scale in kilometers is provided on the map
To locate the stations and draw cirradius cles on the map of California, follow these steps:
1. Identify the city stations on the map: Find the city stations indicated on the map, such as San Francisco, Los Angeles, and San Diego.
2. Use a compass: Set your compass to the scale provided on the map.
For example, if the scale says 1 inch = 100 km, adjust your compass accordingly.
3. Determine the distance from the epicenter: Based on the information provided, determine the distance from each city station to the epicenter. If it is not provided, refer to additional resources or data.
4. Draw the circles: Place the compass point on each city station and draw a circle with a corresponding to the distance determined in
step 3. Ensure the radius is in scale with the map.
5. Identify the epicenter: The point where all the circles intersect is the approximate location of the epicenter.
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in a gambling game a person draws a single card from an ordinary 52-card playing deck. a person is paid $19 for drawing a jack or a queen and $5 for drawing a king or an ace. a person who draws any other card pays $2. if a person plays this game, what is the expected gain? (round your answer to the nearest cent.)
the expected gain is $0.77, rounded to the nearest cent.The expected gain is the sum of the products of the probability of each outcome and its corresponding payoff.
There are 4 jacks, 4 queens, 4 kings, and 4 aces in a standard 52-card deck. So the probability of drawing a jack or a queen is 8/52 = 2/13, and the probability of drawing a king or an ace is also 8/52 = 2/13. The probability of drawing any other card is 1 - 2/13 - 2/13 = 9/13.
The expected gain is the sum of the products of the probability of each outcome and its corresponding payoff. So:
Expected gain = (2/13) * 19 + (2/13) * 5 + (9/13) * (-2)
Expected gain = 38/13 - 10/13 - 18/13
Expected gain = 10/13 ≈ 0.77
Therefore, the expected gain is $0.77, rounded to the nearest cent.
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GM is tangent to circle O at point G, and GS
is a secant line. If mGS = 84°, find
m/SGM.
Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο. ,then ∠SGM = 84°.
What is secant line?Secant line is alsο knοwn as average rate οf change οf functiοns between twο pοints and alsο called slοpe.
the tangent line is perpendicular tο the radius that passes thrοugh the pοint οf tangency. Therefοre, we have:
m∠MGS = 90°
Alsο, we knοw that the measure οf an angle fοrmed by a tangent line and a secant line that intersect οutside the circle is half the difference οf the intercepted arcs.
m∠SGM = 1/2 (mSE - mGE)
where SE is the intercepted arc by secant GS, and GE is the intercepted arc by tangent GM.
Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο.
mSE = 2mGS
mSE = 2(84°) = 168°
m∠SGM = 1/2 (mSE - mGE) = 1/2 (168° - 0°) = 84°
Therefοre, m∠SGM = 84°.
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Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour. Which of these equations represents the relationship between b and f?
Answer:
Step-by-step explanation:
asdf
Help pls!
A scale drawing of a famous statue uses a scale factor of 250:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
O248.8 feet
O 250 feet
O251.2 feet
300 feet
In linear equation, The actual height of the statue is 300 feet.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
A scale factor of a famous statue uses a scale factor of 250:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
= 1.2 x 250
The actual height of the statue is 300 feet.
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Answer:(D) 300
Step-by-step explanation: the scale factor is 250:1 and the Hight of the drawing is 1.2 feet you need to multiply 1.2 by 250
1.2 x 250 = 300
what conditions does the function f(x) have to meet in order to be able to use the integral test to verify convergence or divergence?
The conditions does the function f(x) to meet in order to be able to use the integral test to verify convergence or divergence is
1) f(x) must be continuous, positive, and decreasing for all x greater than some fixed value N.
2) The series to be tested must have non-negative terms.
3) The integral of f(x) from N to infinity must converge or diverge.
To use the integral test to verify the convergence or divergence of an infinite series, the following conditions must be met for the function f(x)
1) f(x) must be continuous, positive, and decreasing for all x greater than some fixed value N.
2) The series to be tested must have non-negative terms.
3) The integral of f(x) from N to infinity must converge or diverge.
If these conditions are met, then the integral test can be used to determine whether the series converges or diverges. Specifically, if the integral of f(x) converges, then the series converges. On the other hand, if the integral of f(x) diverges, then the series also diverges.
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a pizza that is 12 in diameter is cut into six slices. find the length of each arc intercepted by each slice (length of the crust). find the area of each slice.
The length of each arc intercepted by each slice is 2.09 inches.
The area of each slice 18.85 square inches .
To find the length of each arc intercepted by each slice and the area of each slice of a pizza that is 12 inches in diameter, follow the steps below. Length of each arc intercepted by each slice
The formula to find the length of each arc is given by:
L = θ/360 * 2πr
WhereL = length of arc
θ = angle of arc in degrees
r = radius of circle (diameter/2)
Given, diameter of pizza = 12 inches
So, radius of pizza = 12/2 = 6 inches
Since the pizza is cut into 6 equal slices, each slice will have an angle of 360/6 = 60 degrees.
Now, substituting the given values in the formula:
L = 60/360 * 2π* 6L = 1/6 * 12πL = 2π/3 ≈ 2.09 inches
The formula to find the area of each slice is given by:
A = θ/360 * πr²
Given, diameter of pizza = 12 inches
So, radius of pizza = 12/2 = 6 inches
Since the pizza is cut into 6 equal slices, each slice will have an angle of 360/6 = 60 degrees.
Now, substituting the given values in the formula:
A = 60/360 * π* 6²A = 1/6 * 36π
A = 6π ≈ 18.85 square inches
Thus, the length of each arc intercepted by each slice is approximately 2.09 inches and the area of each slice is approximately 18.85 square inches.
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2 people - 0 people = ? people
a postal employee is counting how many houses on the route have dogs. statistically, 48\% of homes have dogs, according to the postal employees research. on the route of 30 homes, the postal employee encounters 12 dogs. what is the variance?
The variance is 7.2.
We can use the binomial distribution formula to calculate the variance. The formula for the variance of a binomial distribution is
Variance = n × p × (1 - p)
where n is the number of trials, p is the probability of success on each trial, and (1 - p) is the probability of failure on each trial.
In this case, n = 30 (the number of homes on the route), p = 0.48 (the probability of a home having a dog), and (1 - p) = 0.52 (the probability of a home not having a dog).
The postal employee encountered 12 dogs, which means there were 18 homes without dogs. So, the actual probability of success in this case is
P(dogs) = 12/30 = 0.4
Using the formula above, we can calculate the variance
Variance = n × p × (1 - p)
= 30 × 0.4 × 0.6
= 7.2
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suppose vi pays its phone reps $12 per hour. how many phone reps should it employ if it wants to maximize profit?
Therefore , the solution of the given problem of unitary method comes out to be hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan adaptable study that followed a particular methodology can all be used to achieve the goal. Both of the crucial elements of a term affirmation outcome will surely be missed if it doesn't happen, but if it does, there will be another chance to get in touch with the entity.
Here,
The formula below can be used to determine the ideal amount of phone representatives:
=> MR = MC
Where n is the amount of phone reps and 12 is their hourly wage, the cost is given by C = 12n.
The following results are obtained by taking the derivative of revenue and cost with regard to n:
=> MR=dR/dn = k
=> dC/dn = 12 for MC.
When we set MR equal to MC, we obtain:
=> k = 12
Accordingly, Vi should hire as many phone representatives as are required to produce an hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.
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The value of which of these expressions is closest to e?
The expression (1 + 1 / 18)¹⁸ represents the number closest to irrational number e. (Correct choice: A)
What exact value is closest to irrational value e?
This problem ask us to determine what expression is closest to irrational number e. A number is irrational when it cannot be represented by numbers of the form m / n, where m and n are integers and n is non-zero. The number e can be defined by the following limit:
[tex]e = \lim_{x \to \infty} \left(1 + \frac{1}x}\right)^{x}[/tex], where x is a natural number.
According to this definition, the greater the value of x is, the closer the result to irrational number e is. Therefore, the following expression is closest to the given irrational number:
x = 18
e = (1 + 1 / 18)¹⁸
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you glass of orange is 1/2 full. Your friends glass is 1/3 full. your friend has more orange juice explain how this is possible
Answer:
Step-by-step explanation:
It is possible if your friend has a bigger glass than you.
a subset of the integers 1, 2, . . . , 100 has the property that none of its members is 5 times another. what is the largest number of members such a subset can have? (a) 72 (b) 77 (c) 84 (d) 85 (e) 86
Answer:
Let's assume that the subset contains as many numbers as possible. We start by including all the numbers from 1 to 100 that are not divisible by 5. These are the numbers 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 74, 76, 77, 78, 79, 81, 82, 83, 84, 86, 87, 88, 89, 91, 92, 93, 94, 96, 97, 98, 99.
This gives us a subset of 81 numbers. However, we need to remove any numbers that are multiples of other numbers in the subset. For example, if we include the number 6, we must remove 12, 18, 24, etc. Similarly, if we include the number 9, we must remove 18, 27, 36, etc. We can see that the only numbers that have multiples in the subset are 2, 3, 7, 8, 13, 17, 18, 19, 27, 28, 37, 38, 39, 52, 53, 54, 57, 58, 59, 68, 69, 73, 74, 78, 79, 83, 84, 87, 88, 89, 92, 93, 94, and 98.
Therefore, we need to remove these 34 numbers from the subset. This leaves us with a subset of 81 - 34 = 47 numbers.
However, we can still include the number 5, since it is not a multiple of any other number in the subset. This adds one more number to the subset, giving us a total of 48 numbers.
Therefore, the largest number of members that such a subset can have is 48, which corresponds to answer choice (e).
There are 80 people in a choir.
Half the people in the choir are women.
The number of men in the choir is one quarter of the number of women.
The rest of the people in the choir are children.
the number of children in the choir: the number of men in the choir = n: 1
Work out the value of n.
You must show how you get your answer.
Answer:
3
Step-by-step explanation:
Number of people in the choir = 80
Number of women = half of 80 = 40
Number of men in the choir is ¼ of the women = 40/4 = 10
Number of men plus women = 10 +40 = 50
Number of children = 80 - 50 = 30
Ratio of children to men = n:1 = 30:10
Divide both sides by 10
30:10 = 3:1
n = 3
Find the X
geometry
pt.2
The angle of x in the given circle is 51 degrees.
What is theorem of secant and tangent line in circle?In the case when a tangent line and a secant line originate from the same external point, the mean of the exterior angle is equal to half the difference between the major arc and the minor arc that are created by the tangent and secant lines.
From the given figure we observe that the secant line and tangent line start from the same exterior angle.
Thus, according to the theorem of secant and tangent line of circle we have:
angle x = (DA - DB) /2
angle x = (178 - 76) / 2
angle x = 102 /2
angle x = 51 degrees.
Hence, the angle of x in the given circle is 51 degrees.
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select the best definition of random variation. multiple choice question. unusual variation that occasionally occurs in a process. variation that can happen any day, any time. common variation inherent in a process occurring by chance.
The best definition of random variation is: "Common variation inherent in a process occurring by chance."
In mathematics, random variation refers to the inherent variability that arises in the outcome of a random experiment. It is a type of natural variability that cannot be predicted with certainty and is due to chance. For example, if we toss a fair coin multiple times, we can expect to see some variation in the number of heads and tails that appear, even though the coin is fair and each toss is independent of the previous ones. This variation is random and follows a probability distribution that can be modeled mathematically. Understanding random variation is important in statistical inference and modeling, as it allows us to estimate the uncertainty in our results and make informed decisions based on probabilistic reasoning.
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does anyone know the answer??
The point that partitions segment AB in a 1:4 ratio is (-1, -0.4).
How to determine the coordinates of point Q?In this scenario, line ratio would be used to determine the coordinates of the point Q on the directed line segment AB that partitions the segment into a ratio of 1 to 4.
In Mathematics, line ratio can be used to determine the coordinates of Q and this is modeled by the following mathematical expression:
Q(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Substituting the given parameters into the line ratio formula, we have;
Q(x, y) = [(1(7) + 4(-3))/(1 + 4)], [(1(-10) + 4(2))/(1 + 4)]
Q(x, y) = [(7 - 12)/(5)], [(-10 + 8)/5]
Q(x, y) = [-5/5], [(-2)/(5)]
Q(x, y) = [-1, -2/5]
Q(x, y) = [-1, -0.4]
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The difference of -12 - 45 will be?? postive or negitive or equle
Answer:33
Step-by-step explanation:45-12=33
9.
Find the values of x and y.
to
35 degrees
(i need
work shown please)
end answers should b x: 145
y: 35
Step-by-step explanation:
y is a corresponding angle to the 35 degree angle so y = 35°
'x' + the 35 degree angle form a straight line = 180 degrees
x + 35 = 180
x = 145°
Format your answer as needed
Can someone tell me the answer to this question is please?
Each student should receive 1/2 kg of soil.
How to distribute same amount of soil?To find out how much soil each student will have, we need to first add up the total amount of soil collected and then divide it equally among the 10 students.
Let's start by converting all the amounts of soil to a common unit, such as kilograms:
3 students brought 1/4 kg each, so they brought a total of 3/4 kg.
4 students brought 1/2 kg each, so they brought a total of 2 kg.
3 students brought 3/4 kg each, so they brought a total of 2 1/4 kg.
Adding up these amounts, we get:
3/4 + 2 + 2 1/4 = 5 kg
So the total amount of soil collected is 5 kg.
To redistribute this soil equally among the 10 students, we need to divide it by 10:
5 kg ÷ 10 = 1/2 kg per student
Therefore, each student should receive 1/2 kg of soil.
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about 4% of the population has a particular genetic mutation. 1000 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 1000.
The standard deviation for the number of people with the genetic mutation in a group of 1000 individuals is approximately 4.89.
To find the standard deviation for the number of people with a particular genetic mutation in a group of 1000 individuals, we first need to understand the concept of binomial distribution.
Binomial distribution is a statistical probability distribution that represents the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).
In this case, the probability of success (having the genetic mutation) is 0.04, and the probability of failure (not having the mutation) is 0.96. Thus, we can model the number of people with the mutation in a group of 1000 individuals using a binomial distribution with n = 1000 and p = 0.04.
The formula for the standard deviation of a binomial distribution is:
σ = √(np(1-p))
Where σ is the standard deviation, n is the number of trials, and p is the probability of success. Plugging in the values, we get:
σ = √(1000 x 0.04 x 0.96) = 4.89
In other words, we can expect that the number of people with the genetic mutation in a group of 1000 individuals will vary around the mean of 40 (1000 x 0.04) by about 4.89, with about 68% of the observations falling within one standard deviation of the mean.
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When comparing the given value to −12, which is a TRUE statement?
pleas help meeeeee thank
you
Answer:
angle "E" =70°
Step-by-step explanation:
<ABC=<ADC
<ADC=<EAD (alternate angles)
<EAD=<DEA (because /DA/=/DE/
and <DEA=angle E, therefore answer=70°
someone please help meee!! ASAPPP
Hi so you have to do grid for the equation
for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
PLEASE HELP!!!!!!!!! ASAP!!!!!!
Here are some examples:
Distance to endpoint: |2 - (-2)| = 4
Equation: |x - 2| = 4
When answering questions on Brainly, you should always be factually accurate, professional, and friendly. You should be concise and not provide extraneous amounts of detail. You should also use the following terms in your answer, if they are relevant to the question being asked.
In order to write an absolute value equation in the form |x-c|=d to satisfy a given solution set on a number line, you need to do the following:First, identify the number c, which is the midpoint of the solution set. This is because the absolute value of x-c is equal to the distance between x and c on the number line.
Next, identify the number d, which is equal to the distance between the midpoint c and one of the endpoints of the solution set. This is because the absolute value of x-c can never be greater than the distance between x and c, so the maximum value of x that satisfies the equation is c+d and the minimum value is c-d.Finally, write the equation in the form |x-c|=d using the values of c and d that you identified.
Set of solutions (-3, 1) In the middle: (-3 + 1)/2 = -1
Endpoint distance: |-1 - (-3)| = 2
Formula: |x + 1| = 2
Set of solutions (-4, 4)
Center: (-4 + 4)/2 = 0.
Endpoint distance: |0 - (-4)| = 4
Equation: 4 for |x| Set of solutions (-2, 6)
Center: (-2 + 6)/2 = 2
Endpoint distance: |2 - (-2)| = 4
Equation: 4 for |x - 2|
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