The economic and political circumstances that President Obama thinks might make terrorist groups attractive to many people in the world are the economic disparity between the rich and the poor, the political instability in many regions of the world, and dissatisfaction with the current political circumstances.
According to President Obama, there are several economic and political circumstances that might make terrorist groups attractive to many people in the world. The first circumstance is the economic disparity between the rich and the poor. Many people who are attracted to terrorist groups come from poor and underdeveloped countries where there is a lack of economic opportunities. These individuals may be drawn to terrorist groups because they see it as a way to achieve financial stability and gain power.
Another circumstance is the political instability in many regions of the world. Many terrorist groups take advantage of the instability and lack of government control in certain areas to gain support and recruit new members. Additionally, many people who are dissatisfied with their current political circumstances may be drawn to terrorist groups because they believe it is a way to bring about change and fight against perceived injustices.
Overall, the economic and political circumstances that President Obama believes might make terrorist groups attractive to many people in the world are the economic disparity between the rich and the poor, political instability, and dissatisfaction with the current political circumstances.
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What is the surface area and volume of a pentagonal prism?
The surface area and volume of a pentagonal prism is 5/2 × a² × √(5 + 2√5) + 5ab and (1/4) × (5 + 2√5) × a² × h respectively. We can find the solution in the following manner.
A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.
To find the surface area and volume of a pentagonal prism, we need to know its height, the length of the sides of the pentagon, and the length of the rectangular faces.
Let's denote the height of the pentagonal prism as "h", the side length of the pentagon as "a", and the length of the rectangular face as "b".
Surface Area of a Pentagonal Prism:
The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.
Area of each pentagonal face = 5/4 × a² × √(5 + 2√5)
Area of each rectangular face = a × b
Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face
= 5/2 × a² × √(5 + 2√5) + 5ab
Volume of a Pentagonal Prism:
The volume of a pentagonal prism is given by the formula:
Volume = (1/4) × (5 + 2√5) × a² × h
Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.
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The surface area and volume of a pentagonal prism is sum of the areas of its faces, and (1/4) × (5 + 2√5) × a² × h.
A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.
Surface Area of a Pentagonal Prism:
The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.
Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face
Volume of a Pentagonal Prism:
The volume of a pentagonal prism is given by the formula:
Volume = (1/4) × (5 + 2√5) × a² × h
Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.
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Marcu Robinon bought an older houe and want to put in a new concrete patio. The patio will be 15 feet long, 9 feet wide, and 3 inche thick. Concrete i meaured by the cubic yard. One ack of dry cement mix cot $5. 20, and it take four ack to mix up 1 cubic yard of concrete. How much will it cot Marcu to buy the cement? (Round your anwer to the nearet cent. )
Total cost of cement that Marcus has to pay is $6.5.
What is volume?
Volume could be a measure of occupied three-dimensional area. it's usually quantified numerically using SI derived units or by numerous imperial or North American country customary units.
Main body:
According to question:
Length of concrete patio = 15 ft
Width of patio = 9 ft
Height of patio = 3 inches
So first we need to convert inches into ft.
we know that ,
12 inches = 1 ft.
3 inches = (1/12)*3
3 inches = 1/4 ft
Volume of concrete patio = l*b*h
volume = 15*9*1/4
= 33.75 cubic ft.
Now we need to convert feet into yard as cost is given in cubic yard
1 cubic foot = 0.03704 cubic yards
33.75 cubic foot = 0.03704 * 33.75
= 1.2501 cubic yards
So cost of cement = total volume * cost of cement sack
cost = 1.25 * 5.2
cost = $6.5
Hence the total cost to Marcus is $6.5
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A smail stone is kicked from the edge of a ciff. Its x - and y coordinates as functions of time are given by x=16.3t and y=3.96t−4.90e
2
, where x and y are in meters and t is in seconds. (Do not indude units in your answer) (a) Write a vector expretsion for the stene's postion as a function of time (inm), using the unit vectors i and j. (Give the answer tn terms of f ) By taking derivatives, do the following. (b) Obtain the expreseian for the velocity vector
v
as a function of time (in m/s), (Gwe the arswers in terms of t.) (c) Cotain the expression for the acceieration vector
a
as a function of time { in m
2
s
2
}. (d) Next, use unit-vector notaticn to write expressions for the postion, the velecty, and the acceleration of the stone at t=3.15 s. (Assume the position is in m, the welocity is in m/s and the acceleration is in m/s
2
−3
a) the vector expression for the stone's position as a function of time is:r(t) = (16.3t)i + (3.96t - 4.90e⁽⁻²⁾)j
b) the velocity vector v as a function of time is:
v(t) = 16.3i + 3.96j
c) the acceleration vector a as a function of time is:
a(t) = 0i + 0j
(a) The vector expression for the stone's position as a function of time can be written as:
r(t) = x(t)i + y(t)j
Where:
x(t) = 16.3t
y(t) = 3.96t - 4.90e⁽⁻²⁾
So, the vector expression for the stone's position as a function of time is:
r(t) = (16.3t)i + (3.96t - 4.90e⁽⁻²⁾)j
(b) To obtain the expression for the velocity vector v as a function of time, we differentiate the position vector with respect to time:
v(t) = dr(t)/dt
v(t) = d(16.3t)i/dt + d(3.96t - 4.90e⁽⁻²⁾)j/dt
v(t) = 16.3i + 3.96j
Note that since the derivative of t with respect to t is 1, the time component does not change when differentiating.
So, the velocity vector v as a function of time is:
v(t) = 16.3i + 3.96j
(c) To obtain the expression for the acceleration vector a as a function of time, we differentiate the velocity vector with respect to time:
a(t) = dv(t)/dt
a(t) = d(16.3i)/dt + d(3.96j)/dt
a(t) = 0i + 0j
Since the velocity is constant and does not change with time, the acceleration is zero.
So, the acceleration vector a as a function of time is:
a(t) = 0i + 0j
(d) To find the position, velocity, and acceleration of the stone at t = 3.15s, we substitute t = 3.15 into the expressions we derived in parts (a) and (b):
Position at t = 3.15s:
r(3.15) = (16.3 * 3.15)i + (3.96 * 3.15 - 4.90e⁽⁻²⁾)j
Velocity at t = 3.15s:
v(3.15) = 16.3i + 3.96j
Acceleration at t = 3.15s:
a(3.15) = 0i + 0j
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Please solve this ! 20 Points+Brainest
( a^2÷b^2+1+b^2÷a^2 )
a^2 +1+b^2
— —
b^2 a^2
Answer:
(a^4+b^4)/(a^2b^2)
Step-by-step explanation:
A phone company charges a monthly fee of $35.00 and $0.10 per text message. Bridget wants to pay less than $1200.00 total for her monthly phone bill over a 12-month period. What is the most number of text she can send to stay within her budget for the year? Question 11 options: 11,650 11,649 7,800 7,799
what is 9 4/9 dividedby 5/9
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Can you give me brainliest?
Ian has 3/4 of an hour to work on math problems before he leaves for track practice each problem takes 1/12 of an hour how many problems will ian be able to finish before leaving
Answer:
9
Step-by-step explanation:
Since Ian has 3/4 of an hour that is 45 minutes left till practice and it takes 5 minutes per question so he will have 9 questions finished
9514 1404 393
Answer:
9 problems
Step-by-step explanation:
The number can be found by dividing the time by the rate.
(3/4 h)/(1/12 problems/h) = (9/12)/(1/12) problems = 9/1 problems
= 9 problems
Ian can finish 9 problems before leaving.
The Mariana trench is the deepest part of the ocean (39,069 feet). How do the conditions there compare to your bathtub
The conditions at the bottom of the Mariana Trench are vastly different from those in a typical bathtub. The water pressure at that depth is extreme, with over 8 tons of pressure per square inch. In contrast, the water pressure in a bathtub is negligible. Additionally, the water in the Mariana Trench is near freezing, while the water in a bathtub is typically warm or hot. Overall, the conditions in the Mariana Trench are incredibly harsh and inhospitable, making it one of the most extreme environments on Earth.
The Mariana Trench is the deepest part of the ocean at 39,069 feet. The conditions there differ significantly from those in your bathtub. In the Mariana Trench, the water pressure is incredibly high, reaching over 1,000 atmospheres. The temperature is near freezing, ranging from 34-39°F (1-4°C). In contrast, the conditions in your bathtub usually involve much shallower water, lower pressure, and warmer temperatures for a comfortable bathing experience.
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if you can mow 90 lawns in 45 minutes how long will it take to mow 12 lawns?
Answer:
24 minutes
Step-by-step explanation:
90/45=2 x 12 = 24
Hope It Helps
Parker could pay 45% of his college tuition with his scholarship. The remaining $10,500 he paid for a with a student loan. What was the cost of Parker's tuition? Show your work.
Answer:
5,775 for the cost of parking tuition
Step-by-step explanation:
45% = 0.45
0.45(10,500)= 4,725
10,500 - 4,725 = 5,775 for the cost of parking tuition
PLS PLS i need step by step please and undefined numbers to be shown please THANK YOU!
1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.
x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.
2) The given expression is:
(5-2x)/(x+2) + x^2/(x^2-4) - 5
To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:
[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]
Expanding the brackets and simplifying, we get:
(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]
This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.
(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.
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Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. the first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
1. Write an equation for each tank representing the total amount of water in gallons in the tank, y, in terms of the number of hours, x, that the tank drains
2. what is the solution to this system of equations.
3. suppose Aiko starts draining the tanks at the same time. When will both tanks have the same amount of water? How much water is in each tank at that time
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.
( 1 ) -Equation for tank {1} -
y = 175 - 25x
Equation for tank {2} -
y = 200 - 30x
( 2 ) -For the solution we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5
and
y = 200 - 150
y = 50
( 3 ) -For the same amount of water we can write -
175 - 25x = 200 - 30x
- 25x + 30x = 200 - 175
5x = 25
x = 5 hours
In tank (1), there is : 175 - 25 x 5 = 50 gallons
In tank (2), there is : 200 - 30 x 5 = 50 gallons
Therefore, the answers to each part is mentioned above.
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Estimate the sqaure root of 12.5
Answer
3.535534
Step-by-step explanation:
Answer:
\( \frac{5 \sqrt{2} }{2} \: or \: \: 3.53553\)
Step-by-step explanation:
first change it to fraction
\( \sqrt[]{12.5} = \sqrt[]{ \frac{25}{2} } = \sqrt[]{ \frac{5}{ \sqrt[]{2 } } } = \frac{5 \sqrt[]{2} }{2} \)
Find the limit, if it exists,
Lim (x, y) -> (0, 0) xy/(√x^2+y^2)
to examine lim (x, y) → (0, 0) xy/(√x^2+y^2), first approach (0, 0) along the x-axis. on this path, all points have _________
The limit of xy/(√\(x^2+y^2\)) as (x, y) approaches (0, 0) does not exist.
On the x-axis, all points have y = 0. Therefore, the expression xy/(√\(x^2+y^2\)) reduces to 0/|x|, which is equal to 0 for x ≠ 0 and undefined at x = 0.
Next, let's approach (0, 0) along the y-axis. On this path, all points have x = 0. Therefore, the expression xy/(√\(x^2+y^2\)) reduces to 0/|y|, which is equal to 0 for y ≠ 0 and undefined at y = 0.
Since the limit of the expression along the x-axis and y-axis are different, the limit at (0, 0) does not exist.
To prove this, we can also use polar coordinates.
Let x = r cosθ and y = r sinθ, then the expression becomes:
lim (r, θ) -> (0, 0) \(r^2\) cosθ sinθ / r
which simplifies to:
lim (r, θ) -> (0, 0) r cosθ sinθ
This limit does not exist, as the value of r cosθ sinθ depends on the angle θ. For example, when θ = 0, r cosθ sinθ = 0, but when θ = π/4, r cosθ sinθ = \(r^2\)/2.
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To find the limit, if it exists, of Lim (x, y) → (0, 0) xy/(√x^2+y^2), we first examine the limit as we approach (0, 0) along the x-axis. When we follow this path,it helps to analyse the limit.
On the x-axis, y=0 for all points. Therefore, the limit can be examined as lim (x, 0) → (0, 0) x(0)/(√x^2+0^2). Simplifying, we get lim (x, 0) → (0, 0) 0/|x|. As we approach 0 from both positive and negative sides of the x-axis, the denominator |x| approaches 0. However, the numerator remains 0. Thus, the limit is 0. Therefore, all points on the x-axis approach 0 as we approach (0, 0).
that is, Lim (x, y) → (0, 0) x(0)/(√x^2+0^2) = Lim (x, y) → (0, 0) 0/(√x^2)
As x approaches 0, the numerator is always 0, while the denominator is |x|. Thus, the limit along the x-axis is:
Lim (x, y) → (0, 0) 0/|x| = 0
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You go shopping at Target and buy a board game...yes a board game. It cost $21.65. There is a 9% sales tax. What is the total
cost of the game?
Answer:
The total cost of the game is $23.60
How would I solve this and what would I get?
Find the requested values.
R = 83°
T = 6h-8
S = 39°
Find value of h
m
Answer:
h = 11, <RTS = 58 degrees
Step-by-step explanation:
83 + 39 + 6h -8 = 180
6h + 114 = 180
6h = 66
h = 11
<RTS = 58 degrees
6h -8
6(11) - 8 = 58
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = (2/x^2) + (9)
Answer:
f(x) = x+9
g(x) = 2/x^2
Step-by-step explanation:
I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.
birth weights at a local hospital have a normal distribution with a mean of 110 ounces and a standard deviation of 15 ounces. the proportion of infants with birth weights under 95 ounces is:
The proportion of infants with birth weights under 95 ounces is approximately 0.1587 or 15.87%.
We are given a normal distribution with mean µ = 110 and standard deviation σ = 15. We want to find the proportion of infants with birth weights under 95 ounces, i.e., P(X < 95).
To solve this, we need to find the z-score for 95 ounces, which is given by:
z = (X - µ) / σ = (95 - 110) / 15 = -1
Using a standard normal distribution table, we can find the probability of a z-score being less than -1. This is the same as the probability of an infant having a birth weight less than 95 ounces.
From the standard normal distribution table, the probability of a z-score being less than -1 is 0.1587.
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7. Find the value of x.
Help please??
Answer: which one
Step-by-step explanation:
How can I find the dimensions that equal 36?
Answer:
The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18
Explanation:
Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36
=> W = 18 - L
The area of rectangle exceed the area of the square by 24m².find the value of x. Width of rectangle is x-6m and length is x-3m and square is x-7.
The value of x from the given condition is 11.
Given that, the area of rectangle exceed the area of the square by 24m².
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Now, area of rectangle = (x-6)(x-3)
= x²−9x+18
Area of a square = side²
= (x-7)²
= x²-14x+49
Here, the area of rectangle exceed the area of the square by 24 m²
So, x²−9x+18 = x²-14x+49+24
⇒ -9x+14x = 73-18
⇒ 5x = 55
⇒ x = 11
Therefore, the value of x from the given condition is 11.
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Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
12
Step-by-step explanation:
Because you would divide the total number of points which is 48 by the number of games he's played which is 4 and you would get 12, since 48 divided by 4 is 12
Answer:12
Step-by-step explanation:hope this help
A local artist has made a temporary painting on the concrete surface of the school playground. It completely covers a 70 by 66 m² area of the playground. If 22% of the painting is blue, and 21% is red, how many m² of the painting are neither blue nor red?
Answer:
2633.4 meters²
Step-by-step explanation:
I'm going to assume you didn't mean to put 66 m²
70 m × 66 m = 4620 m²
22% of 4620 m² is 1016.4 m²
21% of 4620 m² is 970.2
4620-1016.4-970.2 = 2633.4 meters² that are not blue or red.
What is in the third quadrant of the unit circle
The third quadrant of the unit circle is the region of the circle that lies between 180 degrees and 270 degrees
The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane.
In the coordinate plane, the third quadrant is the quadrant that lies below the x-axis and to the left of the y-axis.
To find what is in the third quadrant of the unit circle, we need to look for the points on the circle that have negative x-coordinates and negative y-coordinates.
Since the radius of the unit circle is 1, we know that any point on the circle can be represented in terms of sine and cosine. Specifically, for any point (x, y) on the circle, we have:
x = cos(θ)
y = sin(θ)
where θ is the angle between the positive x-axis and the line connecting the origin and the point (x, y).
In the third quadrant, both the x-coordinate and the y-coordinate are negative. Therefore, we need to find the angle θ such that cos(θ) is negative and sin(θ) is negative.
We know that cos(θ) is negative in the second and third quadrants, and sin(θ) is negative in the third and fourth quadrants. Therefore, the third quadrant of the unit circle contains the points where:
cos(θ) is negative (i.e., θ is between 90 and 270 degrees or π/2 and 3π/2 radians), and
sin(θ) is negative (i.e., θ is between 180 and 360 degrees or π and 2π radians).
So the third quadrant of the unit circle contains all the points where:
-1 ≤ x ≤ 0 (cosine is negative in this quadrant), and
-1 ≤ y ≤ 0 (sine is also negative in this quadrant).
In other words, the third quadrant of the unit circle is the region of the circle that lies between 180 degrees and 270 degrees (or π and 3π/2 radians) and has both x and y values that are negative.
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Anton is constructing an angle congruent to ∠PQR. With his straightedge, he draws and labels AB−→. He places the compass point on point Q and draws an arc that intersects QP−→− and QR−→−. He labels the point where the arc intersects QP−→− as point S and the point where the arc intersects QR−→− as point T. What should Anton do next?
Answer: i just took the test yesterday and got it right
With the same compass opening, place the compass point on point A and draw a long arc through AB−→−.
hopefully this helps. i would have helped you sooner if i seen it before now
Place the compass point on point A and draw a long arc through AB using the same compass opening.
What is arc ?An "arc" is a smooth curve that connects two points. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve. An arc can be a portion of another curved shape, such as an ellipse, but it most commonly refers to a circle.
The arc of a circle is defined as a portion or segment of a circle's circumference. A chord of a circle is a straight line formed by connecting the two ends of an arc. A semicircular arc is one that is exactly half the length of a circle.
A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc.
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What is the value of the expression −12 − (−35) ?
Answer:
23
Step-by-step explanation:
In a group of 200 children 35 are allergic to peanut. What percentage of children are allergic to peanut?
Answer:
17.5%
Step-by-step explanation:
We know that there are 35 out of 200 allergic to peanut
So we take
35 divided by 200, then times 100% = 17.5%
So, 17.5 of children are allergic to peanut
8/6 + (-9/5) simplest answer
Answer:
-7/15
Step-by-step explanation:
-3$8(47#+$'++#$)3!_+$7$jrjdjd
Answer:
- 7/15
Step-by-step explanation:
Must convert to a common denominator to add or subtract fractions
I'll use 30
8/6 = 40/30
-9/5 = -54/30
(40-54) /30 = -14/30 = - 7/15
The diagram that is best at displaying data dispersion is a: Multiple Choice a. scatter diagram. b. stem-and-leaf display. c. skewness graph. d. box plot
The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers.
The diagram that is best at displaying data dispersion is a box plot. Here's the main answer:When there is a need to compare the distribution of data, a box plot is often the best method.
A box plot is a diagram that shows how a dataset is distributed. It shows how data is spread out and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal (not evenly distributed).
A box plot is a great way to summarize large amounts of data and it is also very easy to read and interpret. It shows a number of statistical values, including the median (the middle value of the data set), the quartiles (the values that divide the data set into four equal parts) and the range (the difference between the maximum and minimum values).
Additionally, it can identify any outliers in the data, which are values that are significantly different from the rest of the data.A box plot is created by drawing a rectangle between the first and third quartiles (the middle 50% of the data) with a line drawn inside it to show the median.
Lines are then drawn from the edges of the rectangle to the minimum and maximum values. Any outliers are marked with a point outside of the rectangle.
The box plot is a great way to compare data sets and to visualize the dispersion of the data
The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal. A box plot is created by drawing a rectangle between the first and third quartiles with a line drawn inside it to show the median.
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