It is possible for a sample to follow a normal distribution, depending on the nature of the data being accumulated.
The regular distribution is a bell-shaped curve that is symmetric across the mean, and it's far typically used to model various natural phenomena and measurements in fields such as information, engineering, and social sciences.
If the data being gathered is continuous and the sample length is large sufficient, it is regularly assumed that the pattern follows a normal distribution.
This assumption is based at the critical limit Theorem, which states that the sampling distribution of the suggest of any independent, random variable will tend toward a ordinary distribution because the sample size increases.
But, it's far critical to notice that not all samples will observe a ordinary distribution, and in a few cases, different distributions may be greater suitable for the records being amassed.
It's far consequently essential to analyze the information and evaluate the assumptions being made before using the regular distribution as a model.
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PLEASE ANSWER BOTH QUESTIONS!
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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please help! math: find the perimeter of the polygon below. use the correct formula!
the width is 3.8 and the length is 6.3
The perimeter of the rectangular polygon is given by P = 20.2 units
Given data ,
Let the perimeter of the polygon be represented as P
Now , the value of P is
Perimeter P of rectangle = 2 ( Length + Width )
Now , width is 3.8 and the length is 6.3
On simplifying , we get
P = 2 ( 3.8 + 6.3 )
P = 20.2 units
Hence , the perimeter is P = 20.2 units
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Find the value of the unknown variable. -c/6 = -4
The value of the unknown c in the algebraic fraction equation is equal to -24
How to solve the algebraic fraction equationTo solve the simple algebraic fraction equation, we cross multiply to eliminate the fractions, then simplify by solving for the unknown
Given the algebraic equation:
-c/6 = 4
(-c/6) × 6 = 4 × 6
-c = 4 × 6
-c = 24
multiply both sides by -1
-1 × -c = -1 × 24
c = -24
Therefore, the value of the unknown c in the algebraic fraction equation is equal to -24
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What is the central idea of Sowells speech Morality vs Sanctimoniousness
Thomas Sowell's speech "Morality vs. Sanctimoniousness" addresses the distinction between genuine moral actions and the outward appearance of moral superiority.
What is the central idea ?The keynote of his speech is to prioritize practical and fruitful measures over merely appearing sensible or righteous. According to Sowell, it is crucial to solve prevalent social problems with pragmatic, yet effective solutions instead of adopting self-righteous attitudes that lack meaningful outcomes.
Essentially, he opines that authentic ethical principles should be anchored in consideration for others' welfare and empirical evidence rather than being fueled by personal moral validation or pretentiousness.
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Which system is equivalent to
O
O
O
[5-x=9x²
y = 5-x
[y=9y²-90y+225
1x=y-5
[5+x=9x²
y = 5+x
y = 3x
x+3x=5
y=9x²?
x+y=5
The first equation is a quadratic equation, and the second equation is a linear equation. The solution to the system is x = -2 and y = 7, which satisfies both equations.
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
The system that is equivalent to:
O
O
O
[5-x=9x²
y = 5-x
is: x = -2, y = 7
In the given system, the first equation is a quadratic equation, and the second equation is a linear equation. The solution to the system is x = -2 and y = 7, which satisfies both equations.
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Function
�
gg can be thought of as a scaled version of
�
(
�
)
=
�
2
f(x)=x
2
f, left parenthesis, x, right parenthesis, equals, x, squared.
A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 1, 4, through the origin, and through the point 1, 4.
Write the equation for
�
(
�
)
g(x)g, left parenthesis, x, right parenthesis.
The equation for g (x) is,
⇒ g(x) = x² -3
Since, The function is,
⇒ f (x) = x²
when x = 0, f(x) = 0
hence it has vertex at (0,0)
Since, g(x) is shifter version of f(x) and has vertex at (-1, 4),
Then, g(x) must be shifted along y axis.
So, We get;
g(x)= x²+c
when x = - 1, g(x)= 4
4 = (-1)² + c
4 = 1 + c
c = 3
Thus, The equation for g (x) is,
g(x) = x² -3
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what is1+1+1 equal?
this is a not ur typical math problem try to get it right u will get brainliest
The mathemematical sum of the three numbers 1+1+1 would give 3
Addition of numbersAddition of numbers can involve 2 or more values using the additive sign '+'. For any given sum of values, the result obtained would be greater than any of the individual value in the sum.
Here, 1 + 1 + 1 means that we are adding 1 in three places. The value obtained would be 3.
Therefore, the sum of the 1+1+1 is 3
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subtract the following measurements 450l 890ml from8700l 750ml
The solution of expression after subtraction is,
⇒ 8249 L 860 ml
We have to given that;
Subtract measurements 450l 890ml from 8700l 750ml
Now, WE can simplify as,
⇒ L ml
8700 750
- 450 890
---------------------------
8249 860
Therefore, After subtraction we get;
⇒ 8249 L 860 ml
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100 Points! Geometry question. Photo attached. Determine whether the quadrilateral is a parallelogram. Justify your answer using a theorem. Please show as much work as possible. Thank you!
The prove of the statement is described below.
First of all ,
Labeling the given figure
And draw a diagonal,
In the quadrilateral PQRS,
The side PQ is equal to the side RS.
Therefore,
PQ = RS
And also, the side PQ is parallel to the side RS.
Then,
PQ || RS.
Now, draw the diagonal PR.
We know that a parallelogram's diagonal divides the parallelogram into two congruent triangles.
By the rule of Side-Angle-Side,
we can show that ∆ PQR ≅ ∆ RSP.
Therefore,
The side QR is parallel to PS
Then,
QR || PS.
Hence,
PQRS is a parallelogram.
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HELP ASAP PHOTO INCLUDED
The volume of the cylindrical shaped pool with water is V = 75.4 feet³
Given data ,
Let the diameter of the pool be d = 8 feet
So , radius r = 4 feet
And , the height of the cylindrical pool is h = 3 feet
Now , the water is half full
So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h
V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )
On simplifying , we get
V = 75.4 feet³
Hence , the amount of water in pool is V = 75.4 feet³
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
B, C, E
Step-by-step explanation:
For a rectangle,
area = length × width
Let length = y.
Then the width is y - 5.
A = LW
750 = y(y - 5)
y(y - 5) = 750
y² - 5y - 750 = 0
All equations that can be put in the form above are correct.
A) y(y + 5) = 750
y² + 5y - 750 = 0
No
B) y² – 5y = 750
y² - 5y - 750 = 0
Yes
C) 750 – y(y – 5) = 0
750 - y² + 5y = 0
y²- 5y - 750 = 0
Yes
D) y(y – 5) + 750 = 0
y² - 5y + 750 = 0
No
E) (y + 25)(y – 30) = 0
y² + 25y - 30y - 750 = 0
y² - 5y - 750 = 0
Yes
Find the line parallel to y = 7x+2
that includes the point (3, -1).
Answer:
? = 7
Step-by-step explanation:
The equation of the line parallel to another line will have the same slope. The given line y = 7x + 2 has a slope of 7.
To find the equation of the line that passes through the point (3, -1) and is parallel to the given line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point.
So, the equation of the line parallel to y = 7x + 2 and passing through the point (3, -1) is:
y - (-1) = 7(x - 3)
Simplifying this, we get:
y = 7x - 21 - 1
y = 7x - 22
So, the equation of the line is y = 7x - 22.
Given the form of the equation y + 1 = ?(x -3). We then know the answer is y + 1 = 7 (x - 3)
The line's equation is :
↬ y + 1 = 7(x - 3)Solution:
If two lines are parallel then their slopes are equal.
The slope of [tex]\sf{y=7x+2}[/tex] is 7, so the slope of the line parallel to it is 7.
Now, we should plug the slope and the point into the point slope equation. See, we're even given a hint :
Remember : y - y₁ = m(x - x₁).
This hint tells us the point slope equation.
Wherem = slope(x₁, y₁) is a point on the lineSo I plugin :
[tex]\bf{y-(-1)=7(x-3)}[/tex]
Simplify.
[tex]\bf{y+1=7(x-3)}[/tex]
This is it, we don't have to simplify all the way to slope intercept.
Hence, the equation is y + 1 = 7(x - 3)7 in.
12 in.
6 in.
What is the surface area of this rectangular prism?
The surface area of the rectangular prism is 396 square inches
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
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What is the mode of the data represented in this line plot?
Enter your answer in the box.
5 - xx
6 - xxxx
7 - xxx
8 - xxxxxx
9 - xx
10 - xxxx
11 - xx
The mode of the data represented in this line plot will be 8.
Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.
The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.
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PLEASE HELP WITH SURFACE AREA!! This is my project and I need the awnser quick!! Pls help me marking brainliest if the awnsers r right !
The surface areas and volumes of the solids are listed below:
Case 1: A = 118 cm², V = 70 cm³
Case 2: A = 121.5 in², V = 91.125 in³
Case 3: A = 192 m², V = 144 m²
Case 4: A = 480 ft², V = 576 ft³
Case 5: A = 87.965 yd², V = 62.832 yd³
How to determine the surface area and the volume of solidsIn this problem we need to determine the surface area and the volume of each solid. The surface area is the sum of the areas of all faces. The area and volume formulas required to answer this question are shown below:
Area
Rectangle
A = w · l
Triangle
A = 0.5 · w · l
Circle
A = π · r²
Lateral face of a cylinder
A = 2π · r · h
Volumes
Prism
V = A · h
Where:
w - Widthl - Lengthh - Heightr - RadiusA - Base area.Now we proceed to determine the surface areas and volumes of the solids:
Case 1
A = 2 · [(5 cm) · (7 cm) + (5 cm) · (2 cm) + (7 cm) · (2 cm)]
A = 2 · (35 cm² + 10 cm² + 14 cm²)
A = 2 · 59 cm²
A = 118 cm²
V = (5 cm) · (7 cm) · (2 cm)
V = 70 cm³
Case 2
A = 6 · (4.5 in)²
A = 121.5 in²
V = (4.5 in)³
V = 91.125 in³
Case 3
A = 2 · 0.5 · (8 m) · (6 m) + (6 m) · (10 m) + (6 m)² + (8 m) · (6 m)
A = 192 m²
V = 0.5 · (8 m) · (6 m)²
V = 144 m²
Case 4
A = 2 · 0.5 · (12 ft) · (8 ft) + 2 · (10 ft) · (12 ft) + (12 ft)²
A = 480 ft²
V = 0.5 · (12 ft) · (8 ft) · (12 ft)
V = 576 ft³
Case 5
A = 2π · (2 yd)² + 2π · (2 yd) · (5 yd)
A = 87.965 yd²
V = π · (2 yd)² · (5 yd)
V = 62.832 yd³
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100 Points! Geometry question. Photo attached. Determine whether the pair of triangles is similar. If so, write a similarity statement. If not, what would be sufficient to prove the triangles similar? Explain your reasoning. Please show as much work as possible. Thank you!
Answer:
∆ABC ~ ∆QPR by SSS since 6/8 = 9/12.
Below are two inequalities and the graphs of their without the shading. By imagining where the shading should be, identify which point would satisfy BOTH
inequalities
Answer: C
Step-by-step explanation:
Answer:
D. (-2, 10)
Step-by-step explanation:
Given inequalities:
[tex]y > -\dfrac{5}{3}x+2[/tex]
[tex]y > 3x+2[/tex]
Both inequalities have been given in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
The first equation has a negative slope, which means that as x increases, y decreases. Therefore, it is the dashed line that begins in quadrant II and ends in quadrant IV.
The second equation has a positive slope, which means that as x increases, y increases. Therefore, it is the dashed line that begins in quadrant III and ends in quadrant I.
When graphing inequalities, the inequality sign ">" indicates a dashed line and shading above the line.
As both inequalities should be shaded above the lines, the region where the shaded regions overlap is the upper "V" of the graph (see attachment).
A point that satisfies both inequalities is any point that is located in the overlapping shaded region, but not found on the dashed lines.
Therefore, the point that satisfies both inequalities is (-2, 10).
Can someone help me find the plume of these shapes, then round the answer to the nearest whole number please?
The volume for each cone in this problem is given as follows:
11) V = 94 in³.
12) V = 367 ft³.
13) V = 1005 in³.
How to obtain the volume?The volume of a cone of radius r and height h is given by the equation presented as follows:
V = πr²h/3.
For item 11, the dimensions are r = 3 in and h = 10 in, hence the volume is given as follows:
V = π x 3² x 10/3
V = 94 in³.
For item 12, the dimensions are r = 5 ft and h = 14 ft, hence the volume is given as follows:
V = π x 5² x 14/3
V = 367 ft³.
For item 13, the dimensions are r = 8 in(half the diameter) and h = 15 in, hence the volume is given as follows:
V = π x 8² x 15/3
V = 1005 in³.
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An important issue facing Americans is the large number of medical malpractice lawsuits and the expenses that they generate. In a study of 1228 randomly selected malpractice suits, a 99% confidence interval was constructed for the true proportion of medical malpractice lawsuits that are dropped or dismissed. The confidence interval was (0.6633, 0.7308) find the Margin of error.
Answer: I have this same exact question
Step-by-step explanation: So someone please help this person, or animal which ever you perfer
Focus: (-5,3); Directrix: y = 1
The equation of the parabola is: y = (1/4)(x-3)²+ 2
In Parabola mathematics, it is defined as a set of points that are equidistant from a fixed point called the focus and a fixed line called the directrix. In this case, we are given the focus (3,5) and the directrix y=1, y=1, and we need to find the equation of the parabola.
To find the equation of the parabola, we first need to determine the vertex. The vertex is the midpoint between the focus and the directrix, which in this case is (3,3). Since the parabola is symmetric, we know that the axis of symmetry passes through the vertex and is perpendicular to the directrix. Therefore, the equation of the axis of symmetry is x=3.
Next, we need to find the distance between a point on the parabola and the focus, as well as the distance between that same point and the directrix. Let (x,y) be a point on the parabola. The distance between (x,y) and the focus is given by the distance formula: √((x-3)² + (y-5)²)
The distance between (x,y) and the directrix is simply the absolute value of the difference between y and 1: |y-1|
Since the point (x,y) is equidistant from the focus and the directrix, we have: √((x-3)²+ (y-5)²) = |y-1|
Squaring both sides and simplifying, we get: (x-3)²= 4(y-2)
Therefore, the equation of the parabola is: y = (1/4)(x-3)²+ 2
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NOTE : I HAVE ANSWERED THE QUESTION IN GENERAL AS GIVEN QUESTION IS INCOMPLETE.
Complete Question : Find the Parabola with Focus (3,5) and Directrix y=1 (3,5) , y=1
4. The wheels of a bicycle have a
diameter of 22 inches. How many
full revolutions will the wheels need
to make to travel 300 feet? Use 3.14
for .
A 105 revolutions
B 10 revolutions
C164 revolutions
D 53 revolutions
no
53 revolutions will be needed by the wheels to make it travel 300 feet.
Option D is the correct answer.
We have,
To solve this problem, we can use the formula:
Number of revolutions = Distance / Circumference of the wheel
First, let's convert the distance from feet to inches:
300 feet = 300 x 12 = 3600 inches
Next, we need to calculate the circumference of the wheel using the given diameter:
Circumference = π x diameter
Circumference = 3.14 x 22 inches
Circumference ≈ 69.08 inches
(rounded to two decimal places)
Now we can calculate the number of revolutions:
Number of revolutions = 3600 inches / 69.08 inches
= 52.14 revolutions
Rounding to the nearest whole number.
= 52 revolutions.
Therefore,
53 revolutions will be needed by the wheels to make it travel 300 feet.
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The bicycle wheels will need 53 full revolutions to travel 300 feet.
The circumference of a wheel can be calculated using the formula:
circumference = π x diameter
So, circumference = 3.14 x 22
= 69.08 inches
Now, converting feet to inches
300 feet = 300 x 12 inches
300 feet = 3600 inches
So, number of revolutions:
revolutions = distance / circumference
= 3600 / 69.08
≈ 52.11
Therefore, the bicycle wheels will need 53 full revolutions to travel 300 feet.
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PLEASSE HELP!!! MARKING AS BRAINLIST
The area of the figure as shown in the diagram is 24 in².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the figure, we use the formula below
Formula:
A = lw+l'w'+l''w''.................. Equation 1Where:
A = Area of the figurel, l', l'' = Length of the first, second and third rectangle respectivelyw, w', w'' = Width of the first second and third rectangle respectiveyFrom the question,
Given:
l = 4 inw = 2 inl' = 2 inw' = 4 inl'' = 4 inw'' = 2 inSubstitute these values into equation 1
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Please help me :(
What is the measure of p in the following diagram?
PS: Its in a Chapter 11 Go math book! Maybe... can you help me pls?
The measure of p in the diagram is,
m∠P = 45°
We have to given that;
PM is perpendicular to MO.
Now, If m ∠P = m∠2
then it's an isosceles triangle.
And, m ∠M = 90°, therefore it's an isosceles right triangle.
We know that,
the sum of measures of angles in a triangle is equal 180°.
Therefore we have the equation:
m∠P + m∠2 + m∠M = 180°
Substitute m∠M = 90° and m∠P = m∠2 = x:
x + x + 90° = 180°
substract 90° from both sides
2x = 90°
divide both sides by 2
x = 45°
m∠P = 45°
Thus, The measure of p in the diagram is,
m∠P = 45°
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Apples cost $1.29 per pound. How much would a bag of apples weighing 4.7 pounds cost? (Round your answer to the nearest cent.)
Answer:
$6.06
Step-by-step explanation:
$1.29 x 4.7 = 6.063
Round: 6.06
According to the graph, what is the value of the constant in the equation
below?
Constant/ Width=Height
O A 3
OB. 75
O C. 15
OD. 25
The calculated value of the constant in the equation is 75
How to determine the value of the constant in the equationFrom the question, we have the following parameters that can be used in our computation:
The graph
Where we have
(3, 25) and (5, 15)
The value of the constant in the equation is calculated as
Constant = Width * Height
So, we have
Constant = 3 * 25
Evaluate
Constant = 75
Hence, the value of the constant in the equation is 75
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a sphere has a diameter of 9 and find the volume in terms of Pi and volume to the nearest tenth
Answer:
V = 381.7 or 121π
Step-by-step explanation:
V=4/3πr³
Radius is half the diameter so, 9/2 = 4.5
r=4.5
V = 4/3π(4.5)³
V=4/3π(91.125)
V = 381.7 or 121π
Estimate then find the product 34•12
Answer:
I estimate it is around 340 because 34 times 10 is 340 the product of 34 times 12 is 408
Step-by-step explanation:
Find the midpoint (-3,-5)(4, 5)
The midpoint of this line segment (-3, -5) and (4, 5) is (0.5, 0).
How to determine the midpoint of a line segment?In order to determine the midpoint of a line segment with two (2) end points, we would add each point together and then divide by two (2):
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
By substituting the given end points into the formula for the midpoint of a line segment, we have the following;
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Midpoint = [(-3 + 4)/2, (-5 + 5)/2]
Midpoint = [(1)/2, 0/2]
Midpoint = (0.5, 0).
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ANSWER ASAP!! (GIVING BRAINLIEST IF CORRECT!!)
Karen measures the width of a garden plot and records that it is 40 meters. Its actual width is 42 meters.
What is the percent error in the measurement?
A: 2%
B: 3%
C: 4%
D: 5%
Explanation:
The error is 42-40 = 2 meters
Divide this over the actual width
2/42 = 0.0476 = 4.76% approximately
This rounds to 5%
Answer:
D. 5%
Step-by-step explanation:
Percent Error = (|40 - 42| / 42) × 100
Percent Error = (2 / 42) × 100
Percent Error ≈ 4.76%
Identify the pairs of alternate exterior angles in the given figure.
A) ∠2 and ∠7; ∠1 and ∠8
B)∠3 and ∠6; ∠4 and ∠5
C) ∠3 and ∠5; ∠4 and ∠6
D) ∠1 and ∠7; ∠2 and ∠8
The pairs of alternate exterior angles in the given figure is Option D) ∠1 and ∠7; ∠2 and ∠8
Alternate exterior angles are a pair of angles formed by a transversal line intersecting two parallel lines and located on opposite sides of the transversal and on the exterior of the parallel lines. In other words, if two parallel lines are intersected by a third line (the transversal), then the pairs of angles on opposite sides of the transversal and outside the parallel lines are alternate exterior angles. These angles are congruent to each other.
In the given figure two parallel lines, which are crossed by a transversal line which forms angles.
Now according to the given figure
so, answer is Option D) ∠1 and ∠7; ∠2 and ∠8
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