Knowing the format of the series, such as the number of games and the requirements for series victory, is necessary to calculate the likelihood of winning the World Series (e.g., best-of-seven, first team to win four games, etc.).
Using the chance of winning any given game versus team B, which is given as 1/3, you would then need to compute the likelihood of winning each specific game.
The likelihood that team A will win the World Series may be computed as the total of the probabilities of winning each individual game, for instance, if the World Series is a best-of-seven series and team A wins each game with a probability of 1/3.
A binomial distribution, which simulates the number of successes in a certain number of Bernoulli trials with a fixed chance of success for each trial, can be used to do this.
It is impossible to calculate the likelihood that team A will win the World Series without further details about the World Series' structure and the results of each game.
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Kate has a coin collection. She keeps 7 of the coins in a box, which is 5% of her entire collection. What is the total number of coins in Kate’s coin collection?
Answer: 140
Step-by-step explanation: am big brain
You conduct a survey that asks 85 students in your school whether they are in Math Club or Chess Club. Thirty-five of the students are in Math Club, and 20 of those students are also in Chess Club. Thirty-eight of the students are not in Math Club or Chess Club. Organize the results in a two-way table. Include the marginal frequencies.
The results in a two-way table are shown below.
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of X_i and Y_j (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
Given;
35 of the students are in Math Club
20 of those students are also in Chess Club
38 of the students are not in Math Club or Chess Club
Now
number of students math club chess club none
85 35 20 38
Therefore, the table is given above.
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Given: ∠2 and ∠4 are vertical angles.
Prove: m∠2=m∠4
Fill in the correct reason for the statements below by dragging and dropping the correct reason from the bank.
Objective:- To prove for the vertical angles ∠2 and ∠4, m∠2=m∠4
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Explanation:-
∠1and∠2
form a linear pair,
so by the Supplement Postulate, it can be state that,
they are supplementary.
That is, m∠1+m∠2=180°
∠2 and ∠3
form a linear pair also, so
m∠2+m∠3=180°
Subtracting m∠2
from both sides of both equations, we get
m∠1=180°−m∠2=m∠3
Therefore,
∠1 ≅ ∠3
You can use a similar argument to prove that ∠2 ≅ ∠4
Hence Proved.
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Martin used some apples to make muffins. Omar used some apples to make applesauce. Omar used 5 fewer than half as many apples as Martin used.
a. Write an expression to show the number of apples that Martin and Omar used in all. What does your variable represent?
b. Could Martin have used 10 apples? Why or why not? Use the expression to help you decide.
SHOW YOUR WORK.
Solution. ________________________________________________________________________________________________________
the expression x + (x - 5) can be used to determine how many apples Martin and Omar used in total. It helps us understand that Martin used more apples than Omar and that the number of apples in total is greater than 10.
a. Let x represent the number of apples that Martin used.
The expression is x + (x - 5).
b. We can substitute 10 for x in the expression to see if it is possible for Martin to have used 10 apples: 10 + (10 - 5). The answer is 15, which is greater than 10, so it is not possible for Martin to have used 10 apples.
Martin and Omar both used apples in their recipes, but Omar used 5 fewer apples than half as many as Martin used. To represent the number of apples that they used altogether, we can use an expression that includes a variable x, which represents the number of apples that Martin used. The expression is x + (x - 5). To check if Martin could have used 10 apples, we can substitute 10 for x in the expression: 10 + (10 - 5). The answer is 15, which is greater than 10, so it is not possible for Martin to have used 10 apples. Therefore, the expression x + (x - 5) can be used to determine how many apples Martin and Omar used in total. It helps us understand that Martin used more apples than Omar and that the number of apples in total is greater than 10.
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Suppose 47 cars start at a car race. In how many ways can the top 3 cars finish the race?
There are 16215 ways in which the top 3 cars can finish the race.
How to determine the number of waysFrom the question, we have the following parameters that can be used in our computation:
People = 47
Positions = 3
The number of ways to select the top 3 cars from 47 cars is can be calculated using the following combination formula
C(n, r) = n!/(r! * (n - r)!)
Substitute the known values in the above equation, so, we have the following representation
C(47, 3) = 47! / (3! * (47-3)!)
Evaluate
C(47, 3) = 16215
So there are 16215 ways in which the top 3 cars can finish the race.
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"The output is 6 greater than three times the input." what is the response?
The expression for output is 6 greater than three times the input is y = 3x + 6.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the output is 6 greater than three times the input the expression can be written as:-
y = 3x + 6
Therefore, y = 3x + 6 is an expression for an output that is six times greater than the input.
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suppose that we use some statistical learning method to make a prediction for the response y for a particular value of the predictor x. carefully describe how we might estimate the standard deviation of our prediction.
To estimate the standard deviation of our forecast, we'd generally use cross-validation. Specifically, we'd divide the data into a training set and a confirmation set.
We will fit the statistical literacy system on the training set and use it to make future forecasting on the confirmation set. We'd calculate the mean squared error( MSE) of the forecast, which is the normal of the squared differences between the future values and the factual values.
Eventually, we'd take the square root of the MSE to gain the estimated standard divagation of our future prediction. This system allows us to assess the delicacy of our model and estimate the query of our prediction.
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At the school carnival students guess how many marbles are in a jar. Marlo guesses 63 when it is actually 60. What percent of error does Marlo have?
Answer:
2%
Step-by-step explanation:
3/60 = 2%
Answer:
5%
Step-by-step explanation:
[tex] \frac{3}{60} \times 100 = 5[/tex]
lamia saves some money to buy a computer that cost 300 her aunt offers to add 25 to the amount lamia has saved and then gave her three times that amount for the work lamia does babysitting lamias aunt gives her 225 write and solve an equation ti fund the amount of money that lamia saves
The equation to find the amount that Lamia has saved would be 25 + 3x = 225
How to find the equation ?Lamia's aunt will add $ 25 to the amount saved by Lamia and then will give her three times the amount she has saved. Assuming this amount saved is x, the equation would be:
Total given to Lamia = 25 + ( 3 x Amount saved )
225 = 25 + ( 3 x)
25 + 3x = 225
25 + 3x = 225
This means that the amount that Lamia saved was :
25 + 3x = 225
3 x = 225 - 25
x = 200 / 3
x = $ 66. 70
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what is 3/16 x 6 in simplest form as fraction
how do u solve dis
Answer:
9/8
Step-by-step explanation:
3/16 x 6
= 3/16 x 6/1
= 18/16
= 9/8
The equation 2y + 5 = 9 is only true when
a} y = 4 b} y = 14 c} y = 2 d} 7 = 7
Answer:
c
Step-by-step explanation:
Let's find the value of 'y' that makes this true
2y + 5 = 9 subtract 5 from both ides of the equation
2y + 5 - 5 = 9 -5
2y = 4 Now divide both sides by 2
y = 2
Given the two sets, which statement is true?
A= 1,2}
B={1,2,3,4}
O BEA
O3 A
04 A
ОАЕВ
O none of the above
Given two sets, A ⊂ B this statement is true.
What is elements of the set?A little letter, like x, y, or z, is typically used to represent a set element. You may sum up a set by listing all of its components inside of brackets. The items that make up a set are referred to as its elements (or members), and the set is said to contain the elements when they are claimed to belong to it. A set often consists of other mathematical objects like numbers, variables, or geometric points as its elements.
Given that,
A = {1,2}
B = {1,2,3,4}
Thus, A ⊂ B, because all elements of the set A are the elements of the set B.
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The complete question is as follows:
2 of 52 of 5 Items
08:42
Skip to resources
Question
How many data points are plotted incorrectly on the scatter plot graph, if any?
Responses
A 00
B 11
C 22
D 3
The solution is Option C.
The number of data points that are incorrectly marked on the scatter plot is 2 and they are G ( 5 , 5 ) , H ( 5 , 7 )
What is a Scatter Plot?Dots are used in a scatter plot to show the values of two different numerical variables. Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, utilize scatter plots.
The closer the data points come to forming a straight line when plotted, the higher the correlation between the two variables, or the stronger the relationship. If the data points make a straight line going from near the origin out to high y-values, the variables are said to have a positive correlation.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
Given data ,
Let the equation of graph be represented as A
Now , the value of A is
Let the values of x be = { 1 , 1 , 2 , 3 , 3 , 4 , 5 , 5 , 6 }
Let the values of y be = { 2 , 3 , 4 , 4 , 5 , 5 , 5 , 7 , 8 }
So , the points on the graph will be
A ( 1 , 2 ) , B ( 1 , 3 ) , C ( 2 , 4 ) , D ( 3 , 4 ) , E ( 3 , 5 ) , F ( 4 , 5 ) , G ( 5 , 5 ) , H ( 5 , 7 ) , I ( 6 , 8 )
The points G and H are marked incorrectly as ( 5 , 4 ) and ( 5 , 6 )
Hence , the graph is plotted and there are two incorrect data points on the scatter plot
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5. 10 pens are purchased at the rate of Rs 12.30 each. What is the sale price of each, if there is a total gain of Rs 24?
The sale price of each pen if 10 pens are purchased at the rate of Rs 12.30 each and there is a total gain of Rs 24 is Rs 14.70
What is the sale price of each pen?Total number of pens = 10
Cost of each pen = Rs 12.30
Total gain = Rs 24
Gain on each pen = Total gain / Total number of pens
= Rs 24 / 10
= Rs 2.4
The sale price of each pen = Cost of each pen + Gain on each pen
= Rs 12.30 + Rs 2.4
= Rs 14.70
Hence, each pen is sold at Rs 14.70
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question use the ratio table to solve the percent problem. what percent is 32 out of 80? responses 4% 4% 32% 32% 40% 40% 80%
The per cent of 32 out of 80 will be 40% out of 80.
To translate this per cent problem, we can establish up a ratio table and use cross-multiplication to calculate the answer.
32 is x% out of 80
Set up the ratio table:
32 x%
-- = ---
80 100%
Now, cross-multiply to solve for x:
32 × 100 = x% × 80
3200 = 80x
Now, divide both sides by 80 to calculate x:
3200 / 80 = 80x / 80
40 = x
So, the answer is 40%. Therefore, 32 out of 80 is 40% out of 80.
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true or false: the empirical rule should be applied to data sets that are normally distributed or nearly normally distributed.
The statement "The empirical rule should be applied to data sets that are normally distributed or nearly normally distributed." is True.
The empirical rule, also referred to as the three-sigma rule or the 68-95-99.7 rule, is a quantitative rule which says that for a normally distributed, nearly all observed data will fall within three standard deviations (denoted by) of the mean or average (denoted by).
According to the Empirical Rule, 99.7% of data observed following a normal distribution is within 3 standard deviations of the mean.
According to this rule, 68% of the data is within one standard deviation of the mean, 95% is within two standard deviations, and 99.7% is within three standard deviations of the mean.
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a shop advertises 25percent of its price in a sale . A dress was 90pounds.how much was it before reduced
Answer:
Before the price reduction, the cost was 120 dollar.
What is the fundamental principle of multiplication?
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that shop advertises 25% off its prices in a sale a dress is 90% .
Here 90 percent is equivalent to 75%
Let X = 100%
So,X=(90×100)÷75
x =120
The price was 120 dollar.
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An article is sold for Rs. 2970 after allowing a discount of
10%. Find the marked price of the article.
The diagram shows a circle with centre O and radius 2.5cm.
A, B & C lie on the circumference of this circle.
Given that AC is a diameter of the circle and AB = 4cm, work out the length of BC
Answer:
3cm.
Step-by-step explanation:
As you know, a diameter is the same as twice a radius.
AO= OC.
OC= 2.5cm.
therefore, AC= OA+OC
AC= 2.5+2.5
AC= 5cm.
AB= 4cm.
Using Pythagorean theorem.
BC= √(AC²-AB²).
BC= √(5²-4²)
BC= √(25-16)
BC= √9
BC= 3cm.
The price of 4 citrons and 3 fragrant wood apples is 34 units the price of 3 citrons and 4 fragrant wood apples is 29 units find the price of a cotton and the price of the wood apple
The price of one citron is 2.5 units and the price of one fragrant wood apple is 8 units.
Let's write "x" for the cost of citron and "y" for the cost of a fragrant wood apple.
We know that 4 citrons + 3 fragrant wood apples = 34 units => 4x + 3y = 34
And, 3 citrons + 4 fragrant wood apples = 29 units => 3x + 4y = 29
The values of x and y can be determined by solving this system of equations.
We can isolate x starting with the first equation:
4x + 3y = 34 => 4x = 34 - 3y
We can now change x in the second equation to the following expression:
3(34 - 3y) + 4y = 29
102 - 9y + 4y = 29
102 = 29 + 9y
73 = 9y
So, y = 8, and the price of a fragrant wood apple is 8 units.
And finally, substituting this value of y in the first equation:
4x + 3(8) = 34
4x + 24 = 34
4x = 10
x = 2.5, the price of citron is 2.5 units.
Therefore, the price of one citron is 2.5 units and the price of one fragrant wood apple is 8 units.
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intuitively, what do we expect to have when the sample size increases when we estimate a simple linear regression model?
We would expect smaller standard errors for beta parameters as the sample size increases because we have more information to work with. This would result in more accurate estimates for the beta parameters.
Increasing the sample size when estimating a simple linear regression model will not have any effect on the beta parameter estimates. However, it will have an effect on the standard errors of the beta parameters. With a larger sample size, we have more information to work with, and therefore can more accurately estimate the beta parameters. As a result, the standard errors for the beta parameters will decrease as the sample size increases. This means that we can be more confident in our estimates of the beta parameters as the sample size increases.
The complete question: Intuitively, what do we expect to have when the sample size increases when we estimate a simple linear regression model?
a. Increase in sample size does not have any effect on beta parameter estimates or standard errors
b. We would expect larger standard errors for beta parameters because we have more information.
c. Beta parameter estimates get smaller
d. We would expect smaller standard errors for beta parameters because we have more information .
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Layla owns 3/5 of an acre of farmland. She grows beets on 1/3 of the land. On how many
acres of land does Layla grow beets?
Write your answer as a fraction or as a whole or mixed number.
acres
3/15
1/3 of 3/5 is the same as multiplying
if it were only 1 acre it would look like 1/3 x 1 so for 3/5 of an acre, it is
(1/3) x (3/5)
remember, multiplying fractions is numerator to numerator, and denominator to denominator.
so (1/3) x (3/5) = 3/15
please help will mark brainlist
Answer:
80°
Step-by-step explanation:
180° - 100° = 80°
At the U of A Hospital, four babies were born within a 5 minute span on New Year's day. The four babies weighed: 7lbs 4 oz, 6lbs 12 oz, 5lbs 14 oz, and 8 lbs 2 oz. What is the total weight of the four babies in pounds? 16 oz = 1 lb
The total weight of the four babies is given as follows:
28 lbs.
How to obtain the total weight?The total weight is obtained applying the proportions in the context of the problem.
The weights for each baby are given as follows:
7 lbs and 4 ounces = 7.25 lbs, as 4/16 = 0.25.6.75 lbs. (12 oz = 0.75 lb).5.875 lbs. (14 oz = 0.875 lb).8.125 lbs. (2 oz = 0.125 lbs).Combining the four weights, the total weight of the four babies is given as follows:
7.25 + 6.75 + 5.875 + 8.125 = 28 lbs.
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Write the second equation in the system of
equations that would produce a graph with
parallel lines.
If the first equation is in format y=mx+b, (if not convert to it) the second equation would have the same m value, and any b value.
The same value indicates that they have the same slope, therefore parallel.
at a large university it is known that 45% of the students live on campus. the director of student life is going to take a random sample of 100 students. what is the probability that more than half of the sampled students live on campus?
0.1574 is the probability that more than half of the sampled students live on the campus.
It is well known that 45% of students at a large university live on campus. A random sample of 100 students will be chosen by the head of student life. The fixed value that offers the potential of the number of successful outcomes is the sample proportion. The sample proportion is an estimate of the population proportion's actual value.
100 samples are taken.
45 percent of students reside on campus.
The normal probability distribution is used to assess the likelihood that more than half of the sampled students live on campus.
[tex]P(p^{O} > 0.5)=P(\frac{p^{o}-p }{\sqrt{\frac{p(1-p)}{n} } } > \frac{0.5-0.45 }{\sqrt{\frac{0.45(1-0.45)}{100} } })[/tex]
=P(Z>1.00)
=0.1574 (Z- score table)
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Lara is planting seedlings in a small flower pots.she buys a bag of soil that cost $4.55 and it contains 16.25 cups of soil. Each soil requires 1 1/4 cups of soil.What is the cost of the soil for each seedling?
The cost of the soil for each seedling is $0.35.
What do you mean by Division?Division is an arithmetic operation that is the reverse of multiplication. It is used to find the number of times a quantity is contained within another quantity. Division can be represented using the division symbol (÷) or a fraction bar (/) and is performed by dividing the dividend by the divisor. The result of division is the quotient, which represents the number of times the divisor fits into the dividend. For example, if you have 8 apples and you divide them into 4 equal parts, each part would contain 2 apples. The expression 8 ÷ 4 = 2 represents this division, where 8 is the dividend, 4 is the divisor, and 2 is the quotient.
First, we need to find out how many seedlings Lara can plant with the bag of soil she bought. To do this, we divide the total amount of soil by the amount of soil required for each seedling:
16.25 cups of soil ÷ 1.25 cups of soil per seedling = 13 seedlings
Next, we divide the total cost of the soil by the number of seedlings to find the cost of the soil per seedling:
$4.55 ÷ 13 seedlings = $0.35 per seedling.
Therefore, the cost of the soil for each seedling is $0.35.
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suppose researchers were interested in determining the relationship, if any, between the use of cell phones and the incidence of brain cancer. would it be better to use a randomized experiment, a case-control study, or an observational study that did not use cases and controls? explain.
A randomized experiment would be the best design for determining the relationship between cell phone use and brain cancer.
In a randomized experiment, individuals are randomly assigned to either a cell phone use group or a non-cell phone use group, and then the incidence of brain cancer is compared between the two groups.
This type of study can establish causality because it eliminates the possibility of confounding variables and ensures that any observed difference in brain cancer incidence is truly due to cell phone use and not some other factor.
Additionally, randomized experiments provide more robust results than observational studies, as they reduce the potential for selection bias and allow for control over extraneous variables.
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Find the slope of the following graphs
The slope of graph one is 3 / 2 and the second graph is -1.
What is the slope?A line's slope is defined as the change in y coordinates with respect to the change in x coordinates. The net y coordinate change is y, while the net x coordinate change is x. As a result, the change in y coordinate in relation to the change in the x coordinate can be written as m = y/x.
The slope of the first graph is calculated as:-
Slope = rise/run
Slope = 3 / 2
The slope of the second graph is calculated as:-
Slope = ( 0 - 3 ) / ( 3 - 0 )
Slope = -1
Therefore, the slope of graph one is 3 / 2, while the slope of graph two is -1.
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The slopes are:
2) -1
3) 2/3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Pick two points from the graph.
2)
(2, 1) and (-2, 5)
Slope = m
m = (5 - 1) / (-2 - 2)
m = 4 / -4
m = -1
3)
(0, 0) and (3, 2)
Slope = m
m = (2 - 0) / (3 - 0)
m = 2/3
Thus,
The slope is -1 and 2/3.
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А.
En un café Internet está publicado el siguiente cartel.
SERVICIO DE INTERNET
$2. 000 la primera hora
$1. 000 cada hora adicional
después de la primera hora
SI P es el valor total por pagar por el servicio de Internet yn es el número de horas
adicionales después de la primera hora que un cliente usa
sa el servicio, ¿cuál de las
siguientes expresiones muestra correctamente el valor total por pagar, suponiendo que el
cliente consume al menos una hora?
A. P= 2. 000n + 1. 000
C. P = n(2. 000 + 1. 000)
B. P= 2. 000 + 1. 000n
D. P = 2. 000 + 1. 000(n+1)
MATEMATICAS-TECNOLOGÍA GUÍA 1 PAG: 7
Step 1: Calculate the total cost for the first hour. The total cost for the first hour is $2,000.
Step 2: Calculate the cost for each additional hour. The cost for each additional hour is $1,000.
Step 3: Calculate the total cost. To calculate the total cost, add the cost for the first hour ($2,000) to the cost for each additional hour ($1,000) multiplied by the number of additional hours (n). This gives us a total of P = 2,000 + 1,000(n + 1).
Therefore, the correct expression for the total cost is P = 2,000 + 1,000(n + 1).
C(x)=F+V is the generic form of the cost function formula (x) C(x) = F + V(x), where x is the number of units, V(x) is the total variable cost, and C(x) is the overall cost of production.
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