An outlier is a data value that differs greatly from other values in a data set.
Which is the outlier rule for the lower boundary?
Q1 + 1.5 ∙ IQR
Q3 + 1.5 ∙ IQR
Q1 − 1.5 ∙ IQR
Q3 − 1.5 ∙ IQR
Answer:
The person above me is correct.
Q1 − 1.5 ∙ IQR (C) is your answer.
ED2021
For upper boundary its Q3 + 1.5 ∙ IQR (B). [This is the one right after]
The outlier rule for the lower boundary; Q1 − 1.5 ∙ IQR (C) is your answer.
How to find the interquartile range?IQR(inter quartile range) is the difference between third and first quartile.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Given; An outlier is a data value that differs greatly from other values in a data set.
For upper boundary its Q3 + 1.5 ∙ IQR.
Therefore, the outlier rule for the lower boundary; Q1 − 1.5 ∙ IQR (C) is your answer.
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of midpoint E.Find the coordinates(Simplify your answer.)Midpoint FormulaX1+X2 Y1+Y2M = (x¹+x²,Y₁+Y²)2A (-6x, 4y)E = ([?], )DC (8x, -2y)B (-2x, -4y)W
E is the midpoint of line BC
B is (-2x, -4y), C is (8x, -2y)
Δx = +10x
Δy = +2y
divide both by 2
x = +5x
y = + 1y
add to B
-2x + 5x = 3x
-4y + 1y = -3y
3x, -3y
I assume you got it wrong because you didnt include the x and y
What is the surface area of a sphere with diameter 8 cm?
Answer:
As = 256\(\pi\) or 804.25cm
Step-by-step explanation:
By formula As = \(4\pi r^{2}\)
As = 256\(\pi\) or 804.25cm
Sarah drove her car a distance of 691.4 km, and used 49.7 L of gasoline (petrol). What is her fuel efficiency in miles per gallon? Use the following facts: 1 km = 0.6214 mi 1 gal = 3.8 L miles per gallon
Sarah's fuel efficiency is approximately 32.91 miles per gallon.
Calculating Sarah's efficiencyFrom the question, we are to calculate Sarah's fuel efficiency.
To find Sarah's fuel efficiency in miles per gallon, we need to convert the distance she drove to miles and the amount of gasoline she used to gallons.
From the given information,
1 km = 0.6214 mi
1 gal = 3.8 L
First, let's convert the distance from kilometers to miles:
691.4 km × 0.6214 mi/km = 430.10196 mi
So, Sarah drove a distance of 430.1 miles.
Also,
Convert the amount of gasoline from liters to gallons:
49.7 L ÷ 3.8 L/gal = 13.0789 gal
So, Sarah used 13.0789 gallons of gasoline.
Calculate her fuel efficiency in miles per gallon:
Fuel efficiency = distance ÷ gasoline used
Fuel efficiency = 430.1 mi ÷ 13.0789 gal
Fuel efficiency = 32.9065 mi/gal
Hence, Sarah's fuel efficiency is 32.91 mi/gal
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Pleaseee help me
1/4c+5/3c-4=2-1/12 What dose c equal
Answer:
c=2.5652
Step-by-step explanation:
Given ,
1/4c+5/3c-4=2-1/12
or, c(1/4+5/3)=2-1/12+4
or,c(( 3+20)/12)=(24-1+36)/12
or,23/12c=59/12
or.23c=59
or,c=59/23
or,c=2.5652
easy math and economics questions pls help
The total income earned by labor at each wage rate are
Rate $4.00 = 26500Rate $4.50 = 27000Rate $5.00 = 26000We will not favour having a minimum wage at $4.50, while we will favour having a minimum wage at $5.00
1. How much total income would be earned by labor at each wage rate?From the question, we have the following parameters that can be used in our computation:
The graph
The total income is calculated as
Total income = Rate * Hour
So, we have
Total income at rate $4.00 = 4 * 6,625
Total income at rate $4.00 = 26500
Total income at rate $4.50 = 4.5 * 6,000
Total income at rate $4.50 = 27000
Total income at rate $5.00 = 5.00 * 5,200
Total income at rate $5.00 = 26000
Would you favor having a minimum wageIn (a), we have
Total income at rate $4.00 = 26500Total income at rate $4.50 = 27000Total income at rate $5.00 = 26000We will not favour having a minimum wage at $4.50, while we will favour having a minimum wage at $5.00
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For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1
Answer:
The answers include
x + 2 =10
x - 4 = 4
3x = 24
Start Fraction x Over 8 End Fraction = 1
Step-by-step explanation:
x + 2 = 10; 8 + 2 = 10
x - 4 = 4; 8 - 4 = 4
3x = 24; 3(8) = 24
Start Fraction x Over 8 End Fraction = 1; 8/8 = 1
Equations with solution x = 8 are
x + 2 = 10,
x minus 4 = 4,
3x = 24,
Start Fraction x Over 8 End Fraction = 1
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given equations
x + 6 = 2
⇒ x = 2-6
⇒ x = -4
x + 2 = 10
⇒ x = 10 - 2
⇒ x = 8
x minus 4 = 4
x - 4 = 4
⇒ x = 4 + 4
⇒ x = 8
x minus 2 = 10
x -2 = 10
⇒ x = 10+2
⇒ x = 12
2x = 4
⇒ x = 4/2
⇒ x = 2
3x = 24
⇒ x = 24/3
⇒ x = 8
Start Fraction x Over 2 End Fraction = 16
x/2 = 16
⇒ x = 2(16)
⇒ x = 32
Start Fraction x Over 8 End Fraction = 1
x/8 = 1
⇒ x = 8(1)
⇒ x = 8
Hence, equations
x + 2 = 10,
x minus 4 = 4,
3x = 24,
Start Fraction x Over 8 End Fraction = 1
have 8 as solution.
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Please explain how to do it too ill give brainliest
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
The soccer team sold 200 tickets to a raffle, and Stephanie bought one.
One ticket will be selected at random to win the grand prize. Find the
probability Stephanie will win the grand prize. Write your answer as a
fraction and simplify if necessary.
Answer:
1/200
Step-by-step explanation:
Stephanie has a 1 out of 200 chance to win the raffle
Answer:
1/200
Tell me if im right
6. What is the cube of 8?
A. 64
B. 2
C. 512
D. 24
Answer : C. 512
step-by-step explanation :
8 8(square) = 8² = 8 × 8= 64 8(cube) = 8³ = 8 × 8 × 8 = 64 × 8 512
\(\qquad\qquad\qquad\boxed{\bf\:\: \: (c) \: 512}\)
\( \purple{\bold{\underline{\underline{ Cube \: of \: 8 \: is = 512:}}}}\)
\(\red{\bold{\underline{\underline{so \: option \:( c ) \: is \: correct \: \: :}}}}\)
\(\orange{\bold{\underline{\underline{ more \: additional \: information \: :}}}}\)
if a number is multi by by itself 3 then the obtained number is called cube.the cube of a natural number is that given number raised to the power 3PROPERTIES -: cube of all even natural number is always even.cubes of all odd natural number are odd.the cube of natural number ending a zero has 3 on it.the cube of the natural number ending with one was one is it unit digitcube of negative number always negative.To find Cubes -:
direct methodalternate methodcolum methodTo find Cube Root -:
prime factorizationsuccessive subtraction method.estimation methodTwo cars, one going due east at the rate of 90 km/hr and the other going to south at the rate of 60 km/hr are traveling toward the intersection of two roads. At what rate the two cars approaching each other at the instant when the first car is 0.2 km and the second car is 0.15 km from the intersection ?
The two cars are approaching each other at a rate of 36 km/hr at the given instant.
We can solve this problem by using the Pythagorean theorem and differentiating with respect to time. Let's call the distance of the first car from the intersection "x" and the distance of the second car from the intersection "y". We want to find the rate at which the two cars are approaching each other, which we'll call "r".
At any moment, the distance between the two cars is the hypotenuse of a right triangle with legs x and y, so we can use the Pythagorean theorem
r^2 = x^2 + y^2
To find the rates of change of x and y, we differentiate both sides of this equation with respect to time
2r(dr/dt) = 2x(dx/dt) + 2y(dy/dt)
Simplifying and plugging in the given values
dr/dt = (x(dx/dt) + y(dy/dt)) / r
dr/dt = (0.2 x 90 + 0.15 x (-60)) / sqrt((0.2)^2 + (0.15)^2)
dr/dt = (18 - 9) / sqrt(0.04 + 0.0225)
dr/dt = 9 / sqrt(0.0625)
dr/dt ≈ 36 km/hr
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How do I work out thus question?
show your workings.
The gradient of the graph which shows the variation in the mean temperature in the Northern Hemisphere is 0.01.
The mean global temperature change between 2006 and 2009 and 2010 and 2013 is 0.05.
How to find the gradient ?The gradient (or slope) of a line can be found using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
In this case, (x1, y1) = (2006, 0.61) and (x2, y2) = (2008, 0.63). Plugging these values into the formula, we get:
m = (0.63 - 0.61) / (2008 - 2006)
m = 0.02 / 2
m = 0.01
What is the mean global temperature change?Mean temperature change = (Temperature change 2006-2009 + Temperature change 2010-2013) / 2
Mean temperature change = (0.02 + 0.08) / 2
Mean temperature change = 0.10 / 2
Mean temperature change = 0.05
The mean global temperature change between the two periods is 0.05.
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Please help me, I will give brainliest, I am struggling badly.
Answer:
im pretty sure it is b
Step-by-step explanation:
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Let (-3,-2) be a point on the terminal side of theta. Find the csc(theta)
The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.
To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.
Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.
The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.
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what is u over 4-4= -20
u/4 - 4 = -20
Add 4 to both sides:
u/4 = -16
Multiply both sides by 4:
u = -64
Answer:
u=-64
Step-by-step explanation:
u/4 -4 = -20
First add 4 to both sides.
u/4=-16
Now multiply both sides by 4
u=-64
Find the slope of the secant line for the g(x) = -20 SQRT x between x = 2 and x = 3
Given:
Equation of line is,
\(g(x)=-20\sqrt[]{x}\)The slope of the secant line between x =a and x= b is calculated as,
\(\begin{gathered} m=\frac{f(b)-f(a)}{b-a} \\ m=\frac{f(3)-f(2)}{3-2} \\ m=\frac{-20\sqrt[]{3}-(-20\sqrt[]{2})}{1} \\ m=-20\sqrt[]{3}+20\sqrt[]{2} \\ m=20(\sqrt[]{2}-\sqrt[]{3}) \\ m=-6.36 \end{gathered}\)Answer: slope of the secant line is m = -6.36
Halla el menor de tres enteros impares consecutivos tales que 7 veces el entero del medio sea 15 más que la suma del primero y tercer enteros.
Using an algebraic equation to represent the word problem, the smallest integer is 1
Word ProblemThis is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.
Let the integers be represented as
xx + 2x + 4We can write an equation from the word problem given as
7 × (x + 2) = 15 + [x + (x + 4)]
7x + 14 = 15 + x + x + 4
7x + 14 = 15 + 2x + 4
collect like terms
7x - 2x = 15 - 14 + 4
5x = 5
Divide both sides by coefficient of x
5x / 5 = 5 / 5
x = 1
The smallest integer is 1
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Translation:
Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers
Answer soon please 10 points Easy math
Answer:
1 and -7
your first choice in the list
Step-by-step explanation:
yeah, this one was fun.
Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =
Answer: 5x2-2x-7
Step-by-step explanation:
(4x2 + 3x - 1) + (x2 - 5x - 6)
=4x2+3x-1+x2-5x-6
=5x2-2x-7
Is a triangle with sides of 5 meters, 12 meters, and 13 meters a right triangle? Explain/Show your work.
Answer:
Step-by-step explanation:
the expression negative five eighths times k minus 8 plus the expression 2 plus one third times k
7 over 24 times k plus negative 6
negative 4 over 11 times k plus negative 10
negative 7 over 24 times k plus negative 6
negative 23 over 24 times k plus negative 10
After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement for the expression,
-(5/8)k - 8 + 2 + (1/3)k
Take LCM as 24 and solve the equation,
(-7k - 144) / 24
= (-7/24)k - 6
Therefore, this concludes that option C is correct.
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Rewrite logo u + 6 logo v using properties of logarithms.A. logo26v6B. logoขC. logo (uvo)D. logouv6Reset Selection
rewrite the logarithm using the property
\(n\ast log_ab=log_a(b^n)\)then,
\(log_6u+log_6(v^6)\)continue using the property
\(log_ab+log_ac=log_a(b\ast c)_\)finally, apply the property
\(log_6(uv^6)\)Use the diagram below to find x and each missing angle.
Anna and Henry are raking their yard. Anna has raked 5/12 of the yard and Henry has raked 4/9 of the yard. What fraction of the yard still
needs to be raked?
Answer:
Step-by-step explanation:
The raked portion is 5/12 plus 4/9, or (applying the LCD, 36),
20/36 + 24/36.
The sum of these two fractions is 44/36, or 1/9.
1/9 of the yard remains to be raked.
Find the maximum value of the function z = 4x+2y subject to the following constraints.
x≥5
y≥4
4x+3y≤56
The function at its maximum value will be at point (11,4) and its value is 52 which can be derived keeping in mind the constraints that have been given.
Maximizing a functionThe maximum value of any kind of a function is the place where the said function reaches its highest point, or vertex, on a graph. If your kind of quadratic equation has something as a negative of a term, it will also have a maximum value.
There are a bit of three ways to find that maximum, depending on which form of a quadratic function you have got.
Herein we can find the closed region ABC from the three equations or constraints given
and can mark the points as
A = (5,4)
B = (5, 12)
C = (11, 4)
if we put up the values of the points, we get
at (11, 4), Z = 4 x 11 + 2 x 4
=52 that is the maximum value amongst the three.
Thus, the maximum point of the function can be calculated as (11,4)
How do you extract out the maximum or minimum value of a function?We will at first set out the first derivative of the function to absolute zero and then solve for x to get the exact critical point.
If we then take the second derivative or f’’(x), there in we can find out whether this point will be a maximum or minimum. If the second derivative is seen as positive, it will be a minimum value
What is the maximum value of a function called?The maximum or minimum value that is calculated over the entire function is called an “Absolute” or “Global” maximum or minimum of the function.
There is presence of only one global maximum (and only one global minimum) but there can be several that is more than one local maximum or minimum
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I’m so confused please help
Answer:
2
Step-by-step explanation:
x = 18
y = 3
3y
= 3 * 3
= 9
x / 3y
= 18 / 9
= 2
The straight line distance between two points is known as its
Answer:In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points
Step-by-step explanation:It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, therefore occasionally being called the Pythagorean distance.
evaluate f(-x)=x/x2+1
To evaluate f(-x) when f(x) = x/(x^2 + 1), we need to substitute -x for x in the function.
So f(-x) = (-x)/((-x)^2 + 1)
Simplifying the denominator we get:
f(-x) = (-x)/(x^2 + 1)
The function f(-x) is equivalent to the function f(x) with the x-value negated. The value of the function f(-x) is the same as the value of the function f(x) but with the x-value negated.
It's important to note that we can also express this as f(-x) = -f(x)
So the value of f(-x) is x/(x^2 + 1) with the x-value negated.
A water cooler has a storage capacity of 50 litres . If each student on an average consumes 750ml of water. Then how many times cooler tank has to be filled to quench the thirst of 1200 student of school
The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
We have
Number of students= 1200
Water consumption per student= 750 ml
So, Total water consumption
= Number of students × Water consumption per student
= 1200 × 750 ml
= 900000 ml
= 900 Liter
Now, the time cooler tank has to be filled to quench the thirst
= 900 / 50
= 18 times
Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
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