Answer:
Rounding to the nearest hundred thousand, the volume of the cone is approximately 19,400,000 cubic meters.
An employee earns 8% commission on the sales of clothing sold. If she sells R4500 worth of clothing what will her commission be ?
The employee's commission on the sales of clothing sold would be R360.
Jamie bought a car in 2005 for $28,500. By 2008 the car was worth $27,700. Create a model that describe this situation.
V(t) = -$266.67t + $28,500 is the linear model that captures this situation.
What is a linear model?
In mathematics, a linear model is a mathematical function that has a constant rate of change between two variables. The general form of a linear model is given by:
y = mx + b
where "y" and "x" are variables, "m" is the slope of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).
A line's slope is the ratio of change in y (vertical) to change in x. (horizontal). It denotes the pace at which y changes in relation to x. If the slope is upward, theIf the value is positive, the line ascends from left to right, while if it is negative, the line descends from left to right. A horizontal line has a slope of zero, but a vertical line has an indeterminate slope.
A line's y-intercept is the value of y when x is zero. It denotes the point at where the line intersects the y-axis.
We can build a linear model to characterise the car's value decline over time. Let V(t) be the car's worth t years after 2005. Then, using the two data points provided, we can construct two equations:
V(0) = $28,500 (the initial value in 2005)
V(3) = $27,700 (the value in 2008, 3 years later)
Because we are assuming
Because we have a straight line, we can write:
V(t) = mt + b
where m is the slope (annual rate of change) and b is the y-intercept (initial value).
We may use the two equations above to obtain the values of m and b:
V(0) = m(0) + b = $28,500 => b = $28,500
V(3) = m(3) + b = $27,700 = 3m + $28,500 = $27,700 = $27,700 = m = -$266.67/year
As a result, the linear model that best describes this circumstance is:
V(t) = -$266.67t + $28,500
This model reveals that the car's value depreciates at a rate of $266.67 per year, with a starting value of $28,500 in 2005. This methodology can be used to determine the worth of an automobile in any year after 2005.
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7-7
-. Would you estimate that the quotient
of 28 and 0.48 is greater than 56 or
less than 56? Explain.
We can conclude that the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.
Explain quotient?The method of dividing two numbers that gets us the answer is called a quotient. Divide 8/2 to get 4, which is an example of a quotient.
To estimate the quotient of 28 and 0.48, we can round 0.48 to the nearest whole number and 28 to the nearest ten.
0.48 is closer to 0 than 1, so we round it down to 0.
We just round up to 30 because 28 is nearer to 30 than 20.
Now we have:
28 ÷ 0.48 ≈ 30 ÷ 0 = undefined
Any number divided by zero is undefined, so the quotient is not a real number. It is not greater or less than 56, because it does not exist.
Therefore, the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.
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what is the consequence of a type ii error? group of answer choices concluding that a treatment has an effect when it really does concluding that a treatment has an effect when it really has no effect concluding that a treatment has no effect when it really does concluding that a treatment has no effect when it really has no effect
The consequence of a type II error can be conclude that option (c) has no effect when it really does concluding that a treatment
A Type II error is a statistical error that occurs when a null hypothesis is not rejected when it should be. Specifically, it is when a researcher concludes that there is no effect of a treatment when there actually is one. This error can have serious consequences, as it may result in missed opportunities to implement effective treatments or interventions.
To minimize the likelihood of Type II errors, researchers can increase the sample size or adjust the statistical significance level of the test. Overall, it is important to be aware of the potential for Type II errors and to take steps to minimize their occurrence.
Therefore, the correct option is (c) has no effect when it really does concluding that a treatment
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The given question is incomplete, the complete question is:
what is the consequence of a type ii error? group of answer choices concluding that a treatment
a) has an effect when it really does concluding that a treatment b) has an effect when it really has no effect concluding that a treatment c) has no effect when it really does concluding that a treatment d) has no effect when it really has no effect
The value of the 3 in 140,395 is how many times the value of the 3 in 241,638 ?
Answer:
100
Step-by-step explanation:
30 x 100 = 300
Helping in the name of Jesus.
the shape of a rectangle has an area of 1/5 square mile. the length of the field 1/2 mile. what is the width of the field.
Answer: 1/10
1/5 divided by 1/2 = 0.1 = 1/10
(3) Find the area.
Uptoko
3 in
6 in
3 in
Answer: A = 18 in²
Step-by-step explanation:
To find the area, we will use this formula:
A = LW
➜ A = Area
➜ L = Length
➜ W = Width
We will substitute known values and solve by multiplying.
A = LW
A = (6 in)(3 in)
A = 18 in²
I NEED HELP ON THIS ASAP!!!
convert 17pi/9 to degrees
Answer:
Step-by-step explanation:
pi = 180°
[tex]\frac{17*180}{9} = \frac{3060}{9}= 340[/tex]
amy shoots 9 arrows at a target. each arrow hits the target (independently) with probability 0.6. if exactly 6 arrows hit the target, what is the probability that 6 specified arrows hit the target?
The probability that 6 specified arrows hit the target is 0.321.
Probability means how likely an event is to occur. In many real-life situations, we may have to predict the outcome of events. We may or may not be fully aware of the outcome of the event. In this case, we say whether it will happen or not. The result often has good applications in sports, and business as a result of forecasting, and the result is also widely used in the field of new intelligence.
Given that:
She shoot 9 arrows,
the probability of each arrow being fitted 0.6.
Therefore,
The probability that 6 specified arrows hit the target is:
(⁸₄) ×(0.6)⁶ ×(0.4)⁶ = 0.321
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The deli sold a total of 80 sandwiches. How many salami sandwiches were sold?
4
16
64
20
Using percentages, we can find that out of the 80 sandwiches sold 16 were salami sandwiches.
Option B is correct.
Define percentage?The denominator of a percentage, also known as a ratio or a fraction, is always 100. For instance, Sam would have received 30 points out of a possible 100 if he had received a 30% on his maths test. Here, "percent" or "percentage" is used to translate the percentage symbol "%." The percent symbol can always be changed to a fraction or decimal equivalent by using the phrase "divided by 100."
Here, the total number of sandwiches sold = 80.
In the chart we can see that out of 80 sold sandwiches, 205 of the sandwiches were salami.
So, 20% of 80
= 20/100 × 80
= 1600/100
= 16.
Therefore, 16 salami sandwiches were sold out of the 80.
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The complete question is:
The deli sold a total of 80 sandwiches. How many salami sandwiches were sold?
4
16
64
20
Use the Exterior Angle Theorem to solve for x
O60
O120
O155
O85
Answer:
X=85°
Step-by-step explanation:
35°+x°=120° [Exterior angle of a triangle is equal to the sum of the interior opposite angles]
x=120°-35°
x=85°
a rectangular prism has volume $12$ cubic inches. a triangular pyramid is cut off the cube as shown in the diagram. what is the volume of the remaining piece in cubic inches?
Once the dimensions of the triangular pyramid are provided, we can perform these calculations to find the volume of the remaining piece in cubic inches.
To determine the volume of the remaining piece, we need to find the volume of the triangular pyramid that was cut off and then subtract it from the original volume of the rectangular prism.
Here are the steps:
Step 1: Determine the volume of the rectangular prism.
The student question already provides this information: 12 cubic inches.
Step 2: Determine the volume of the triangular pyramid.
In order to do this, we need the base area and the height of the pyramid.
However, the diagram is not provided in the question. Please provide the dimensions of the base and height of the triangular pyramid.
Step 3: Calculate the volume of the triangular pyramid using the formula:
Volume = (1/3) × Base area × Height
Step 4: Subtract the volume of the triangular pyramid from the volume of the rectangular prism to find the volume of the remaining piece:
Remaining Volume = Volume of Rectangular Prism - Volume of Triangular Pyramid.
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Determine how many real solutions the quadratic equation has:
a. one
b. can't be determined
c. zero
d. two
real solutions or roots or zeros from a graphic standpoint, are simply the x-intercepts, because that's what a zero or root is, nothing but an x-intercept, hmm well, from the picture above, how many times does the graph touch the x-axis? hell, is really above it, it never touches it, so it doesn't have any real solutions.
what would be the transformation from the parent function 4x^2-5
Answer:
f(x)=x² → g(x)=4x²-5
Parent Function: y=[tex]x^{2}[/tex]
Horizontal Shift: None
Vertical Shift: Down 5 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Stretched
My question is in the form of a picture see attached below.
A semicircle rotated around its axis gives sphere, rectangle rotated around its axis gives sphere . and a right triangle rotated around its axis gives sphere
what is rectangle?
A rectangle is a four-sided flat shape with straight sides and four right angles. It is a type of parallelogram, with opposite sides equal in length and parallel to each other. The area of a rectangle can be calculated by multiplying its length and width, while its perimeter can be found by adding the lengths of all four sides.
In the given question,
A semicircle rotated around its axis gives sphere,
A rectangle rotated around its axis gives sphere .
A right triangle rotated around its axis gives sphere
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need today its the deadline is tom
Answer:
1. a. [tex]\frac{2}{13}[/tex]
2. c. [tex]\frac{3}{6}[/tex]
3. d. [tex]\frac{1}{10}[/tex]
4. b. [tex]\frac{1}{8}[/tex]
Hope it helps you!
‼️WILL MARK BRAINLIEST‼️
Answer:
4.The median coast for beach parking is $35: This means that half of the beach parking costs are below $35 and half of them are above $35.
5. The IQR of weights of dishes of frozen yogurt is 3.5 ounces: This means that the middle 50% of weights of dishes of frozen yogurt fall within a range of 3.5 ounces.
6.The mean weight for an adult loggerhead sea turtle is 275 pounds: This means that the average weight of an adult loggerhead sea turtle is 275 pounds.
7. The range of the length of adult manatees was 5 feet: This means that the difference between the maximum and minimum lengths of adult manatees is 5 feet.
when the positive integers are arranged in order, filling in the successive diagonals of an infinite grid from top to bottom, as shown, the integer $41$ is in the $(5, 5)$ spot. what integer would we see in the $(10, 10)$ spot if the rest of the grid were visible?
To fill in the successive diagonals of the infinite grid, we start with $1$ in the $(1,1)$ spot. The second diagonal starts with $2$ in the $(1,2)$ spot and $3$ in the $(2,1)$ spot.
The third diagonal starts with $4$ in the $(1,3)$ spot, $5$ in the $(2,2)$ spot, and $6$ in the $(3,1)$ spot. And so on. Since $41$ is in the $(5,5)$ spot, it means it is the $41$st integer to be filled in the diagonals of the grid. To find the integer in the $(10,10)$ spot, we need to count $9$ diagonals that come before the diagonal that contains $(10,10)$.
Each diagonal contains one more integer than the previous diagonal. So, the $n$th diagonal contains $n$ integers.Therefore, the $10$th diagonal contains $10$ integers, starting with the integer in the $(1,10)$ spot and ending with the integer in the $(10,1)$ spot.
The integer in the $(10,10)$ spot is the last integer in the $10$th diagonal, which is $10+9+8+7+6+5+4+3+2+1 = \boxed{55}$.
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What is the value of (x-5)(x+2) when it is equal to 0
When (x-5)(x+2) is equal to 0, the value of x can be either 5 or -2.
What is Algebraic expression ?
An algebraic expression is a mathematical phrase that can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions are used to represent and solve problems in many areas of mathematics, science, engineering, and finance.
If (x-5)(x+2) is equal to 0, then either (x-5) = 0 or (x+2) = 0, because the product of two factors is equal to 0 only when at least one of them is equal to 0. Therefore, we have:
x - 5 = 0 or x + 2 = 0
Solving these equations for x, we get:
x = 5 or x = -2
Therefore, when (x-5)(x+2) is equal to 0, the value of x can be either 5 or -2.
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The fish population in a certain part of the ocean (in thousands of fish) as a function of the water’s temperature (in degrees celsius) is modeled by:
P(x)=-2(x-9)^2 + 200
what is the maximum number of fish?
The Maximum no. of fish is 200 thousands.
How to find the fish count from the function?
Let say the function is
[tex]P(x)=-2(x-9)^2+200\\\\[/tex]
Differentiating w.r.t x, we get
[tex]\\\\P'(x) = -4(x-9)\\\\for\ maximum\ value\ of\ x,\ P'(x) =0\\\\x=9\\\\So,\ put\ value\ of\ x\ in\ equation, we get\\\\P(x) = 200[/tex]
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I need help with math AGAIN
8 goes into 70, 8 times with a remainder of 6.
What is remainder?
In general, if we want to divide a number by another number, say a by b, we want to find out how many times b goes into a, and what the remainder is. We can represent this as:
a = b × q + r
where:
a: the dividend
b: the divisor
q: the quotient (how many times b goes into a)
r: the remainder (what is left over after we divide as many times as possible)
Now, let's apply this to the specific problem:
We want to divide 70 by 8, so we can write:
70 = 8 × q + r
We want to find out what q and r are.
To find q, we can start with the largest multiple of 8 that is less than or equal to 70, which is 64 (8 times 8). We can see that 8 goes into 64 exactly 8 times:
64 = 8 × 8 + 0
So q = 8.
To find r, we can subtract 64 from 70:
70 - 64 = 6
So the remainder is 6.
Putting it all together, we have:
70 = 8 × 8 + 6
So 8 goes into 70 8 times with a remainder of 6.
What is dividend?
In division, the dividend is the number that is being divided into equal parts or groups. It is the number that appears before the division symbol. For example, in the division problem 12 ÷ 3 = 4, 12 is the dividend.
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Complete question is: 8 goes into 70, 8 times with a remainder of 6.
Each free throw in a game of basketball is worth 1 point and each field goal is worth 2 points. George's team scores a total of 16 points. They make a free throws and y field goals.
Answer: 4 free throws and 6 field goals
Step-by-step explanation:
4x1=4
6x2=12
12+4=16
Answer:
4 free throws and 6 field goals
Step-by-step explanation:
Examine the plot below showing the decrease of a thirty-year loan balance over time. After how many years will the loan be half-paid? A. 15 years B. 18 years C. 21 years D. 24 years
Answer: b. 18
Mark me brainliest
Step-by-step explanation:
"3. Select all the relationships that demonstrate a negative association between variables.
• Miles you drive and the amount of gas in your tank.
• The number of miles you ran over time.
2 Craine.e The level of water in a water tank being drained over time.
wiver da The speed of a train at a constant speed over the next 6 hours. heigh. Number of cups in a stack and the stack height.
Answer(s):
- miles you drive and the amount of gas in your tank
- the level of water in a water tank being drained over time
Step-by-step explanation:
1. The more miles that you drive, the less gas that is in your tank, so this one has a negative association between its variables.
2. The more time you spend running, the more miles you'll have ran, so that's a positive association, not a negative association.
3. The longer a water tank is drained, the less water it'll have in it, so this one has a negative association between its variables.
4. The speed of a train at a constant speed over the next 6 hours can be modeled by a graph with a horizontal line (which has a slope of zero), representing that as the x increases, the y does not change, so there is not a negative association between the variables.
5. The more cups in the stack, the taller it will be, so that's a positive association, not a negative association.
what is P?(less than 7?)
According to the given figure number of possible outcome is 2 and total number of outcome is 4 therefore the probability of an event P(e) less than 7 would be ½.
There are a total of 4 numbers so the No total outcome would be 4.
No of possible outcome = 2 (as there are only two numbers less than 2)
Probability of event, P(e) = no of possible outcome / No of total outcome
This,
P(less than 7) = 2/4
P(less than 7) = ½
Hence The probability of an event P(e) less than 7 would be ½.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theorem of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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Based on climate data that have been collected in Bar Harbor, Maine, the average monthly
temperature, in degrees F, can be modeled by the equation
B(x)= 23.914 sin(0.508x-2.116) + 55.300. The same governmental agency collected average
monthly temperature data for Phoenix, Arizona, and found the temperatures could be
modeled by the equation P(x) = 20.238 sin(0.525x-2.148) + 86.729. Which statement can not
be concluded based on the average monthly temperature models x months after starting data
collection?
The statement that cannot be concluded based on the given temperature models is statement 2: "The midline average monthly temperature for Bar Harbor is lower than the midline temperature for Phoenix."
Describe Equation?Equations can be simple or complex, and they can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Equations can also be represented graphically using curves or surfaces.
We can compare the two given temperature models to make conclusions about the average monthly temperature variations in Bar Harbor and Phoenix.
First, let's compare the midline temperatures:
Midline temperature for Bar Harbor = 55.300 degrees F
Midline temperature for Phoenix = 86.729 degrees F
Since the midline temperature for Phoenix is higher than that of Bar Harbor, we can conclude that statement 2 cannot be concluded.
Next, let's compare the amplitude of the temperature variations:
Amplitude of temperature variation in Bar Harbor = 23.914 degrees F
Amplitude of temperature variation in Phoenix = 20.238 degrees F
Since the amplitude of temperature variation in Bar Harbor is greater than that of Phoenix, we can conclude that statement 1 is true.
Finally, let's use the temperature models to find the maximum and minimum temperatures:
Maximum temperature in Bar Harbor = 23.914 sin(0.508x-2.116)+55.300
To find the maximum temperature, we need to find the maximum value of the sine function, which is 1. Therefore, the maximum temperature occurs when:
0.508x-2.116 = 90 degrees
Solving for x, we get:
x = (90 + 2.116)/0.508 = 177.066
Plugging this value into the temperature model, we get:
Maximum temperature in Bar Harbor = 23.914 sin(0.508(177.066)-2.116)+55.300 = 78.986 degrees F
Therefore, statement 3 is false.
Minimum temperature in Phoenix = 20.238 sin(0.525x-2.148) + 86.729
To find the minimum temperature, we need to find the minimum value of the sine function, which is -1. Therefore, the minimum temperature occurs when:
0.525x-2.148 = 270 degrees
Solving for x, we get:
x = (270 + 2.148)/0.525 = 517.657
Plugging this value into the temperature model, we get:
Minimum temperature in Phoenix = 20.238 sin(0.525(517.657)-2.148) + 86.729 = 65.983 degrees F
Therefore, statement 4 is false.
Therefore, the statement that cannot be concluded based on the given temperature models is statement 2: "The midline average monthly temperature for Bar Harbor is lower than the midline temperature for Phoenix."
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Statement 2: "The midline average monthly climate for Bar Harbor is less than the midline temperature for Phoenix," cannot be proven based on the provided temperature models.
Describe Equation?In addition to variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation, equations can be simple or complex. Equations can also be graphically represented using surfaces or curves.
To draw conclusions regarding the average monthly temperature variations in Bar Harbor and Phoenix, we can compare the two provided temperature models.
Let's start by contrasting the midline temperatures:
Midline temperature for Bar Harbor = 55.300 degrees F
Phoenix's midline temperature = 86.729 degrees F
We can infer from the fact that Phoenix's median temperature is greater than Bar Harbor's that assertion 2 cannot be drawn.
Let's compare the temperature variations' amplitude next:
Bar Harbor's temperature variations' severity = 23.914 degrees F
The intensity of Phoenix's temperature variations = 20.238 degrees F
We can infer that assertion 1 is accurate since the amplitude of temperature change in Bar Harbor is bigger than that in Phoenix.
Let's use the temperature models to determine the highest and lowest temperatures.
Bar Harbor's highest temperature is equal to 23.914 sin (0.508x-2.116) + 55.300.
We need to determine the sine function's maximum value, which is 1, in order to determine the maximum temperature. Consequently, the highest temperature is reached when:
0.508x-2.116 = 90 degrees
Solving for x, we get:
x = (90 + 2.116)/0.508 = 177.066
When this value is entered into the temperature model, we obtain:
Bar Harbor's highest temperature record
= 23.914 sin(0.508(177.066)-2.116)+55.300
= 78.986 degrees F
Therefore, statement 3 is false.
Phoenix's low temperature = 20.238 sin(0.525x-2.148) + 86.729
We need to determine the sine function's minimal value, which is -1, in order to determine the minimum temperature. Consequently, the lowest temperature is reached when:
0.525x-2.148 = 270 degrees
Solving for x, we get:
x = (270 + 2.148)/0.525 = 517.657
When this value is entered into the temperature model, we obtain:
Phoenix's low temperature
= 20.238 sin(0.525(517.657)-2.148) + 86.729
= 65.983 degrees F
Therefore, statement 4 is false.
Statement 2: "The midline average month climate for Bar Harbor is lower than the midline temperature for Phoenix," cannot be proved based on the provided temperature models.
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Expand and simplify (x+5) squared help :)))
FINDING UNKNOWN ANGLE MEASURES-SUPPLEMENTARY ANGLES--#6
The measure of angle B is indeed 70°, and the two angles are Supplementary
Step 1: Understand supplementary angles
Supplementary angles are two angles whose sum equals 180 degrees. In other words, if two angles are supplementary, then their measures add up to 180°.
Step 2: Set up the equation
Let's say you have two supplementary angles, angle A and angle B. You know the measure of angle A, but you need to find the measure of angle B. To do this, you can set up the following equation:
angle A + angle B = 180°
Step 3: Insert the known angle measure
Since you know the measure of angle A, you can insert its value into the equation. For example, if angle A measures 110°, the equation would be:
110° + angle B = 180°
Step 4: Solve for the unknown angle
Now, you can solve the equation to find the measure of angle B. Using the example above:
110° + angle B = 180°
Subtract 110° from both sides:
angle B = 70°
Step 5: Verify your answer
To make sure your answer is correct, you can add the measures of angle A and angle B together. If they equal 180°, then your answer is correct. In this example:
110° + 70° = 180°
So, the measure of angle B is indeed 70°, and the two angles are supplementary.
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for halloween, bernie bought a jumbo bag of jolly lollipops. cherry is the most popular flavor, and about 25% of the lollipops are cherry flavored. when the first group of trick-or-treaters arrives, bernie opens the bag and pulls out 3 lollipops. how likely is it that all of the lollipops are cherry flavored? which simulation could be used to fairly represent the situation?
The probability of pulling out three cherry-flavored lollipops from a bag where 25% of the lollipops are cherry-flavored is very low at only about 1.5625%.
If 25% of the lollipops are cherry flavored, then the probability that any one lollipop is cherry flavored is 0.25. Since Bernie pulls out 3 lollipops, the probability that all of them are cherry flavored is:
0.25 x 0.25 x 0.25 = 0.015625 or 1.5625%
So the probability that all three lollipops are cherry flavored is very low, only about 1.5625%.
As for which simulation could be used to fairly represent the situation, one possible approach is to create a virtual bag of lollipops with 25% cherry flavored ones and randomly draw 3 lollipops from the bag multiple times to simulate the process.
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