Which is the graph of the linear inequality 2x-3y < 12?

Answers

Answer 1

Answer:

First, transform the given equation into the slope-intercept form, y = mx + b.

2x - 3y < 12

3y > 2x - 12

y > [tex]\frac{2}{3}[/tex]x - 4

Since the equation is y > [tex]\frac{2}{3}[/tex]x - 4, first draw the graph of y = [tex]\frac{2}{3}[/tex]x - 4 with a dotted line (because it is >, not ≥) and shade the area above the dotted line.

Which Is The Graph Of The Linear Inequality 2x-3y &lt; 12?

Related Questions

Assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines

Answers

Answer: Yes, there is

Step-by-step explanation:

Find three consecutive integers such as two times the first integer, plus three times the second integer, minus the third integer, is equal to 21.

Answers

The three consecutive integers are 5, 6, and 7.

What are consecutive integers?

Whole numbers that follow one another without a gap are known as consecutive integers. A few examples of consecutive integers are 15, 16, and 17, 1,2 and 3, and so on.

Finding the Consecutive Integers

Let the three consecutive integers be a, a + 1, and a + 2.

These three consecutive integers are to be such that two times the first integer when added to three times the second integer minus the third integer, it is equal to 21.

⇒ 2a + 3(a+1) - (a+2) = 21

2a + 3a + 3 - a -2 = 21

5a - a + 3 - 2 = 21

4a + 1 = 21

4a = 20

a = 20/4

a = 5

∴ a+1 = 5+1

a+1 = 6

And, a+2 = 5 + 2

a +2 =7

Hence, the three consecutive integers come out to be 5, 6, and 7

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A rectangle with a length of x - 4 and a width of 8 has a perimeter of 34. what is the value of x?

Answers

Answer:

13

Step-by-step explanation:

2(x-4+8)=34

x-4+8=17

x+4=17

x=13


You are deciding a social hall that will seat no more than 1600 people. You want at least 500 seats to be priced at $20 each, and at least 800 seats to be priced at $30 each. Those investing in the social hall would also like to bring in at least $2800 in revenue from the ticket sales. Let X represent the number of $20 seats, and let Y represent the number of $30 seats. Which system of inequalities represents this situation?

x ≥ 0
y ≥ 0
x + y ≥ 1600
20x + 30y ≤ 2800

x ≥ 500
y ≥ 800
x + y ≤ 1600
20x + 30y ≥ 2800

x ≥ 800
y ≥ 500
x + y ≤ 1600
20x + 30y ≤ 2800

x ≥ 500
y ≥ 800
x + y ≤ 1600
20x + 30y ≤ 2800

Answers

Answer: Option B

Just trust me that its right.

i believe the correct answer would be B

When a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed.

Answers

The statement when a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed is True.

What is Appeals?

Appeal occur when a person convicted of a crime want another court to reverse a decisions or to examine and re-check the judgement or outcome of a trial court outcome because the convicted person was not satisfied with the outcome or the result  of the trial court .

Hence, the statement is true because an offender  that was convicted of a crime can tend to files an  appeal with a higher court or appellate court so as to examine the trial court's decisions.

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What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (minus 4, minus 4) which intercepts axis at (minus 5, 0), and (minus 3, 0) passes through (minus 3, 1), and (minus 2.5, minus 5). all real numbers x ≤ -2 x ≥ -6 x ≥ 4

Answers

Using it's concept, the domain of the function represented by the graph is all real numbers.

What is the domain of a function?

The domain of a function is the set that contains all possible input values for the function.

In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.

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Quick algebra 1 question for some points!

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Answers

[tex] \frac{y}{x} = \frac{1}{ - 3} \\ - 3y = x[/tex]

[tex] - 3(2) = 6 = x[/tex]

( - 6 , 2 ) Option a

If the term of arthematic progression decrease in magnitude then common difference must be

Answers

We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.

An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.

If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:

The first term, a₁ = a,

Second term, a₂ = a₁ + d = a + d,

Third term, a₃ = a₂ + d = a + 2d,

Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,

The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.

In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.

As the magnitude of the term decreases, we can show that as:

The n-th term < The first term,

or, aₙ < a₁,

or, a + (n - 1)d < a,

or, a + (n - 1)d - a < a - a {Subtracting a from both sides},

or, (n - 1)d < 0.

Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.

Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be negative.

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A video game randomly chooses your car color and type. The probability
getting a red car is 0.20, and the probability of getting a convertible is
Event A = You get a red car.
Event B= You get a convertible.
A and B are independent events if

Answers

A and B are independent events if the probability of getting a red convertible is 0.08

How to determine the probability?

The given parameters are:

P(A) = 0.20

P(B) = 0.40

The events are independent, if

P(A and B) = P(A) * P(B)

So, we have:

P(A and B) = 0.20 * 0.40

Evaluate

P(A and B) = 0.08

Hence, A and B are independent events if the probability of getting a red convertible is 0.08

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Complete question

A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of getting a convertible is 0.40.

Event A = You get a red car.

Event B = You get a convertible.

A and B are independent events if _____.

A.The probability of getting a red car or a convertible is 0.60.

B.The probability of getting a red car or a convertible is 0.08.

C.The probability of getting a red convertible is 0

D.The probability of getting a red convertible is 0.08

Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k > 0. Are Rectangle 1 and Rectangle 2 similar? Why or why not? Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1. Write a paragraph proof to show that the area of Rectangle 2 is times the area of Rectangle 1. Answer:

Answers

Yes, the two rectangles are similar, because rectangle 2 is a dilation of rectangle 1.

Are the two rectangles similar?

We know that rectangle 1 has dimensions L and W.

And rectangle 2 is made by multiplying the dimensions of rectangle 1 by a factor k > 0.

Then, rectangle 2 is just a dilation of rectangle 1, this means that in fact, the two rectangles are similar by definition.

Then:

Dimensions of rectangle 1:

Length = LWidth = W.Perimeter = 2*(W + L)Area = W*L

For rectangle 2:

Length = k*LWidth = k*WPerimeter = 2*(k*L + k*W) = k*(2*(L + W))Area = (k*L)*(k*W) = k²(L*W)

Above we can see that the perimeter of rectangle 2 is k times the perimeter of rectangle 1, and the area of rectangle 2 is k squared times the area of the rectangle 1.

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a. Are the area of a square and the length of its side directly proportional quantities. Explain.
b. Are the perimeter and side length of a square directly proportional quantities. Explain.

**Will mark brainliest for the correct answer with explanation**
**Will report wrong answers**

Answers

A square is a plane shape that has an equal length of sides. The required answers to the questions are;

i. Yes, the area of a square and its length of sides are directly proportional.

ii. Yes, the perimeter and length of the side of a square are directly proportional.

A square is a plane shape that has an equal length of sides, with four internal right angles. The area of a square can be determined as:

Area = length x length

        = [tex](length)^{2}[/tex]

This implies that the value of area of a given square depends on the value of its length. So that the area and length of sides of a square are directly proportional.

If the value of its length increases, then the value of its area increases, viz-a-viz. Then the area and length of the sides of a square are directly proportional.

The perimeter of a square is the sum of the length of its individual sides. Thus, the perimeter of a square can be determined by:

perimeter = 4 x length

Thus the value of the length determines the value of its perimeter. If the length of its sides increases, so is that of the perimeter. Therefore, the length and perimeter of a square are directly proportional.

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A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 18, 3, 0, 3, 6, 3.
Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?

(
,
)

Answers

The largest interval of x-values where the function is increasing is (-1, 1)

How to determine the largest increasing interval?

The table of values is added as an attachment

From the table, the function f(x) decreases from x = -3 to x = -1 and x = 1 and x = 2

So, we make use of the intervals

x = -1, 0 and 1

From the table,

From x = -1 to 0, the change is 3

From x =  0 to 1, the change is 3

From x =  -1 to 1, the change is 6

Using the above highlights, the largest increasing interval is (-1, 1)

Hence, the largest interval of x-values where the function is increasing is (-1, 1)

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Rank--from first to last--the following steps for finding the bottleneck and capacity in a process with rework.

Answers

Steps for finding the bottleneck and capacity in a process with rework:

atevaluateevaluate---

What is the bottleneck and capacity in a process with a rework?In production and project management, a bottleneck is a process in a chain of processes whose restricted capacity reduces the capacity of the entire chain. A bottleneck causes production stalls, supply overstock, customer pressure, and low employee morale.To evaluate a reworked process, a weighted average processing time must be calculated. Because the processing time for rework differs from the initial processing time, a weighted average processing time must be computed. The resource's capacity is divided by its weighted average processing time.Steps for determining the bottleneck and capacity in a reworked process:atevaluateevaluate---

Therefore, steps for finding the bottleneck and capacity in a process with rework:

atevaluateevaluate---

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The more novel a new product or service design is, the more forecasters have to rely on:_______
a) smoothed variation.
b) historical data.
c) seasonality.
d) cyclicality.
e) subjective estimates.

Answers

The more on these factors forecasters must rely, the more innovative a new product or service design is: Subjective Estimates.

Option (e) is correct.

A subjective estimate is a specific type of estimate that is founded on a person's subjective evaluation or in-depth comprehension of the possibility of a specific outcome.

A subjective estimate only takes into account the subject's ideas and prior experiences rather than employing data or exact calculations.

Individual subjective evaluations are highly biased and differ from person to person.

Contrarily, a subjective estimate is incredibly prone to revision, even when only one person's viewpoint is taken into account.

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2. There are 10 pieces of paper, numbered
consecutively from 20 to 29, stuffed in a box.
What is the probability of choosing a prime
numbered paper if one piece is chosen at
random?

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Prime numbers between 20 - 29 = 23 and 29.

There are 2 prime numbers out of these 10.

Therefore,

P(choose prime number) = [tex]\frac{2}{10} \\=\frac{1}{5}[/tex]

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees. What is the value of x

Answers

Answer:  18

Step-by-step explanation:

Angles of a quadrilateral add to 360 degrees, so

[tex]100+100+70+5x=360\\\\270+5x=360\\\\5x=90\\\\x=18[/tex]

If B is the midpoint of AC, and AC = &r - 20 find BC.

Answers

The measure of BC from the figure shown is 26

What is a line?

A line is the distance between two points. From the given line AC;

AC = AB + BC

Given the following parameters

AC = 8x - 20

AB = 3x - 1

Required
Length BC

Substitute

8x-20 = 3x-1 + BC
BC = 8x-20 -(3x - 1)

BC = 8x - 20 - 3x + 1

BC = 5x - 19

Since  B is the midpoint of AC, then;

AB = BC
3x - 1 = 5x - 19

-2x = -18

x = 9

Determine the length of BC

BC = 5(9) - 19
BC = 45 - 19
BC = 26

Hence the measure of BC from the figure shown is 26

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A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. Find the probability of getting two numbers whose sum is greater than 9. Group of answer choices 6

Answers

The probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].

What is probability?Probability is a measure of the possibility that an event will occur in a Random Experiment. Probability is expressed as a number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty. The higher the likelihood of an occurrence, the more probable it will occur.

To find the probability of getting two numbers whose sum is greater than 9:

The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Set of numbers greater than 9:

{(5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}

Formula:

Favorable event / Total number of events = [tex]\frac{5}{36}[/tex]

Therefore, the probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].

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What percentage of its total accounts receivable does grainger feel are uncollectible at december 31, 2016?

Answers

Using percentage of its total accounts the $50,000 is the amount to be uncollectible. The amount of $50,000 will be reported as an allowance for uncollectible accounts for the Year 2 on December 31 in the balance sheet.

According to the question,

Under the approach of the balance sheet, the ending balance of the allowance for the uncollectible accounts is the percentage (%) of the ending balance of the accounts receivable.

The amount of uncollectible accounts should reflect the aggregate needed ending balance of the allowance which amounts to $50,000.

Hence, using percentage of its total accounts the $50,000 is the amount to be uncollectible.

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To make lemonade, I use a ratio of $7$ parts water to $1$ part lemon juice. If I want to make a gallon of lemonade, and there are four quarts in a gallon, how many quarts of water do I need

Answers

Answer:

  3 1/2 quarts

Step-by-step explanation:

The fraction of the lemonade that is water can be determined from the ratio of water to lemon juice. That fraction of a gallon is the quantity of interest.

Water fraction

Of the 7+1 = 8 parts that make up the lemonade, 7 of those are water. That is, water is 7/8 of the lemonade.

Water quantity

Of the 4 quarts of lemonade, the quantity that is water will be ...

  (7/8)(4 quarts) = 7/2 quarts = 3 1/2 quarts . . . of water

At a coffee shop, the manager recorded the number of customers who visited the store at the end of each hour. The graph shows the recordings for a 24-hour period. The function describing this graph is a transformation of the parent sine function, y=sin(x)
Which value is closest to the amplitude of the transformed function?

O 83 customers
O 27 customers
O 54 customers
O 30 customers

Answers

Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54

Which value is closest to the amplitude of the transformed function?

The amplitude of the function is calculated

Amplitude = Highest  - Lowest

From the graph, we have the following points

Highest = 84

Lowest = 30

Substitute the known values in the above equation

Amplitude = 84 - 30

Evaluate the difference

Amplitude = 54

Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54

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Six numbers from a list of nine integers are $7$, $8$, $3$, $5$, $9$, and $5$. What is the largest possible value of the median of all nine numbers in this list

Answers

8  is the largest possible value of the median of all nine numbers in this list.

Lets simplify it,

⇒  The given six numbers are 7,8,3,5,9 and 5.

⇒  Arrange the six numbers in order 3,5,5,7,8,9.

⇒  We have three more numbers to insert into the list, and the median will be the  highest 5(and 5 lowest) number on the list. If the three numbers are greater than 9, the median will be the highest it can possible be.

∴  The median is the 5th item of data which is 8.

∴  Median=8

Hence 8  is the largest possible value of the median of all nine numbers in this list.

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The average age of 4 children is 15 yrs . if the ages of their parents are added , their average age is 25 .find the age of their father if he is 4 yrs older than is wife​

Answers

The age of the father is 57 years old

Calculating mean of a population

Total age = Average age x Population

Average of the four children = 15

Population = 4

Total age of the four children = 15 x 4

Total age of the four children = 60 years

If the parents are added:

Population = 6

Average age = 25

Total age = 25 x 6

Total age = 150 years

Total age of the parents = 150 - 60

Total age of the parents = 110 years

The father is 4 years older than his wife

Let the age of the father be x

The age of the wife = x - 4

x + x - 4 = 110

2x = 114

x = 114/2

x = 57

Therefore, the age of the father is 57 years old

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A rectangle has a width of 2.45 feet and a length of 6.5 feet. how will the area of the rectangle change if each side is increased by a factor of 5? the area will be one-fifth the original. the area will be startfraction 1 over 25 endfraction the original. the area will be 25 times the original. the area will be 5 times the original.

Answers

The area of the new rectangle will be 25 times that of the original

Area of a rectangle

A rectangle is a 2D shape that has 4 sides and equal interior angles

If rectangle has a width of 2.45 feet and a length of 6.5 feet, then;

Width = 2.45 feet

Length = 6.5feet

A = 2.45 * 6.5

A = 15.925 square feet

If each side of the rectangle is increased by a factor of 5, hence;

W1 = 5(2.45) = 12.25feet

L1 = 5(6.5) = 32.5 feet

Determine the area of the new rectangle

A = 12.25 * 32.5

A = 398.125 square feet

Ratio of the area

A1/A = 398.125/15.925

A1 = 25A

Hence the area of the new rectangle will be 25 times that of the original

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Select the correct answer. which equation is correctly rewritten to solve for x?

Answers

The rewritten equation for the given equation is [tex]x=\frac{h+g}{-f}[/tex]. So, option C is correct.

How to rewrite an equation?

A linear equation given in the form ax + b = c can be rewritten to solve for x as below:

ax + b = c

⇒ ax = c - b

∴ x = (c - b)/a

So, here the basic operations such as addition, subtraction, multiplication, and division are used on both sides to rewrite the given equation for solving x.

Calculation:

Given equation is -fx - g = h

Step 1: Adding 'g' on both sides

-fx - g + g = h + g

⇒ -fx = h + g

Step 2: Dividing by '-f' on both sides

-fx = h + g

⇒ -fx/-f = (h + g)/-f

x = (h + g)/-f

Therefore, the rewritten equation to solve for x is x = (h + g)/-f.

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Disclaimer: The given question was incomplete in the portal. Here is the complete question.

Question: Select the correct answer. which equation is correctly rewritten to solve for x?

Equation: -fx = h + g

A. x = (g - h)/f

B. x = (h - g)/-f

C. x = (h + g)/-f

D. x = (h + g)/f

Write Your recurrring decimal 0.255555...... as a fraction

Answers

Answer:

[tex]\frac{23}{90}[/tex]

Step-by-step explanation:

we require 2 equations with the recurring digit placed after the decimal point.

let x = 0.2555.. ( multiply both sides by 10 and 100 )

10x = 2.555... (1)

100x = 25.555.... (2)

subtract (1) from (2) thus eliminating the recurring digits

90x = 23 ( divide both sides by 90 )

x = [tex]\frac{23}{90}[/tex]

Answer:

[tex]\sf \dfrac{23}{90}[/tex]

Step-by-step explanation:

  x = 0.25555.....  --------------(I)

Number of non-recurring digits is 1. So, multiply equation (I) by 10.

10x = 2.5555.... --------------(II)

Number of recurring digits is 1. So, multiply equation (II) by 10.

 100x = 25.5555...... (III)

Subtract equation (II) from (III)

     100x = 25.5555........

       10x =    2.5555.......

    -             -                      

         90x = 23

             x = 23/90

On a coordinate plane, line k l goes through (negative 6, 8) and (6, 0). point m is at (negative 4, negative 2). which point could be on the line that is parallel to line kl and passes through point m?

Answers

The equation of the line parallel to the line KL passing through the points (-6, 8) and (6, 0), and going through the point M (-4, -2) is 2x + 3y = -6. The point satisfying this equation is (-6, 2). Thus, the 2nd option is the right choice.

Slope of the line KL = (8 - 0)/(-6 - 6) = 8/(-12) = -2/3.

Using the formula of the slope of the line passing through the points (x₂, y₂) and (x₁, y₁), as m = (y₂ - y₁)/(x₂ - x₁).

The slope of the line parallel to the line KL will be equal to the slope of KL.

Thus, the slope of the required line is m = -2/3.

The required line also passes through point M (-4, -2).

Thus, the equation of the required line will be,

y - (-2) = (-2/3)(x - (-4)) {Using the equation of the line passing through the point (x₁, y₁) and a slope m, as y - y₁ = m(x - x₁)},

or, y + 2 = (-2/3)(x + 4),

or, 3(y + 2) = -2x - 8,

or, 2x + 3y = -6.

From the given points, only the point (-6, 2) satisfies the equation.

Thus, the equation of the line parallel to the line KL passing through the points (-6, 8) and (6, 0), and going through the point M (-4, -2) is 2x + 3y = -6. The point satisfying this equation is (-6, 2). Thus, the 2nd option is the right choice.

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The provided question is incomplete. The complete question is:

"On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2). Which point could be on the line that is parallel to line KL and passes through point M?

(–10, 0)

(–6, 2)

(0, –6)

(8, –10)"

write [tex]sec^{2} x=\frac{1}{cos^2x}[/tex] in two equivalent forms.

Answers

write sec²x = 1/cos²x in two equivalent forms

sec²x = 1/cos²x

cos²x/cos²x = 1

sec²x = 1 + tan²x

Which of the following is the MOST accurate definition of standard deviation

The average of a set of scores
The typical amount by which scores differ from the mean of a set of scores
The average of the sum of squared deviations from the mean
The mean absolute deviation of the sum of the squared deviation from the average

Answers

The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4

Definition of standard deviation

Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.

It is calculated as the square root of the given variance.

Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.

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What is the square root of pi?

Answers

Pi is a Greek number that plagues mathematics, physics, and circles to the point where pi-fatigue is actually a thing. Pi is an infinite number, however it will henceforth only be written as 3.14159.

I have two solutions to your problem.

The first, and probably less appealing answer, but most used everywhere, would be to use a calculator.

But if you find yourself without a calculator at the ready, I hope you’re prepared to math quite dubiously.

Finding the square power, inverse of a radical, or whatever is multiplied by itself to equal 3.14159, is the second step. We must start someplace to start our attempt, and that place is 3.14159. Since 1 squared equals 1 and 2 squared equals 4, our result, expressed in decimal form, is larger than 1 but less than 2. After that, we just start divising and multiplying the decimals again until we have calculated the square root of pi.

TL;DR

1.7724531 is the approximate square root of pi.

Answer:

1.77245385091

Step-by-step explanation:

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