What is the mean absolute deviation

3,5,8,1,4

Answers

Answer 1

Answer:

the mean is 4.2

Step-by-step explanation:

Answer 2

Answer:

Mean absolute deviation: 1.84.

Step-by-step explanation:

How do you find the mean absolute deviation for a bunch of numbers?

Calculate the average (a.k.a. mean) of the numbers.Calculate the absolute difference (just discard any negative "-" sign in front of the difference) between each number and the mean. The mean absolute deviation is the average of all those absolute differences.

What's the mean of those numbers?

(3 + 5 + 8 + 1 + 4) / 5 = 4.2.

Absolute difference:

3 - 4.2 = -1.2. Drop the negative sign to get 1.2.5 - 4.2 = 0.8.8 - 4.2 = 3.8.1 - 4.2  = -3.2. Drop the negative sign to get 3.2.4 - 4.2 = - 0.2. Drop the negative sign to get 0.2.

What's the average of those absolute differences?

(1.2 + 0.8 + 3.8 + 3.2 + 0.2) / 5 = 1.84. That's the mean absolute deviation of those five numbers.


Related Questions

Which diagram represents a fraction equivalent to 75%?

Answers

Answer:

Honestly i think i know which diagrams your talking about but if it there is an option that has 20 squares and only 15 are shaded then thats the one u choose I'm thinking that option is c

I hope this helps please mark me brainliest

Answer:

C. The third diagram

Step-by-step explanation:

I did the quiz on edge, hope u have a good day :)

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V

Need to find the sum of 50

Answers

Answer:

4600

Step-by-step explanation:

This is an arithmetic sequence with common difference d between consecutive terms.

d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][ 2a + (n - 1)d ]

where a is the first term

here a = - 6, d= 4 and n = 50, hence

[tex]S_{50}[/tex] = [tex]\frac{50}{2}[/tex] [ (2 × - 6) + (49 × 4) ]

                           = 25 ( - 12 + 196 )

                           = 25 × 184

                           = 4600

what is six times six take away for plus nine


Answers

Hello, thanks for using Brainly!

We are solving 6x6-4+9.

We will do three steps in this case.

First is 6x6, 6x6 is 30.

So now we must keep in our head we have 30 as our first number.

Now, let's -4 from 30. 30-4 is 26.

We just did step 2. Boom!

So, we have 26 as our second number. Let's do our third step.

If we have 26, we need to add 9 to that. To quickly find that we know that 26+10 is 36. That is adding ten, we need 9 so minus 1 from 36 we get 35.

Our final answer is 35.

What is the simplified expression for –3cd – d(2c – 4) – 4d?​

Answers

Answer:

[tex]\boxed{\bold{-5cd}}[/tex]

Step By Step Explanation:

[ Step One ] Expand [tex]\bold{-d\left(2c-4\right)}[/tex]

[tex]\bold{-2cd+4d}[/tex]

[ Step Two ] Rewrite Equation

[tex]\bold{-3cd-2cd+4d-4d}[/tex]

[ Step Three ] Simplify [tex]\bold{-3cd-2cd+4d-4d}[/tex]

[tex]\bold{-5cd}[/tex]

Answer:

The Answer is -5CD when simplified

Step-by-step explanation:

1) Distributive property

-3cd - d ( 2c - 4 ) - 4d

Turns to:  3cd -2cd + 4d - 4d  Multiplying to negative give you a positive.

2) combine like terms

-3cd - 2cd = -5cd

4d - 4d = 0

3) Answer

-5cd is your answer

Hopes this helps!

How many thirds are in 1/3?

Answers

Answer: One

Step-by-step explanation:

If you say the fraction out loud, it it pronounced one third.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷There are 3 thirds on one third, because if something is one THRID, that means it is one out of three parts. One third of one third is 1/9.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

nutritionist filing her federal income tax return with the single filing status had a gross income of $34,200. If she made 1,000 contribution to an IRA if she takes a standard deduction of $5,700, claims only herself as an exemption for $3,650 and makes no further adjustments to income fund the amount of taxes she has to pay​

Answers

Answer:

3160

Step-by-step explanation:

Answer:

3160

Step-by-step explanation:

Write the product in the simplest form 3x1/6

Answers

Answer:

1/2

Step-by-step explanation:

3 * 1/6 = 3/6

Which can simplify to 1/2 if you divide the top and bottom by 2.

The product 3x1/6 simplifies to 1/2.

To simplify the product 3x1/6, we need to perform the multiplication and express the result in its simplest form.

First, let's calculate the product:

3 x 1/6 = 3/1 x 1/6 = 3/6

Now, we can simplify the fraction 3/6 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3 in this case:

3/6 ÷ 3/3

The divided by six by three by three

= (3 ÷ 3) / (6 ÷ 3)

=3/3×3/6

= 1/2

Therefore, the product 3x1/6 simplifies to 1/2.

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Can you please help me with this

Answers

Answer: D.

Step-by-step explanation: it’s D because when you do the volume of mode A, you get 48 units. When you do the volume of model B you get 40 units. Use the formula V=length x width x height!

Plllllzzzzzzzzzzzzz!!!!!!!!

Answers

Answer:

Alternative C is correct;

Yes, there is evidence at the 5% significance level

Step-by-step explanation:

To determine whether a linear relationship does exist between shoe size and height, we shall simply be testing the null hypothesis;

β=0

against the alternative;

β≠0

From the output, the p-value of the coefficient of height is given as 0.042 or equivalently 4.2%

Since the p-value, 4.2% is less than 5% level of significance we reject the null hypothesis that claims no linear relationship exists between the shoe size and height.

Which decimals in the list are repeating decimals?
1/3
3/5
4/15
5/6
4/1,000
1 /34

Answers

Answer:

1/3, 4/15, 5/6, and 1/34.

Step-by-step explanation:

If you divide it and it keeps going when you divide it, it is a repeating decimal.

1/3=.333 repeating.

1/3, 4/15, 5/6, and 1/34 are the answers.

A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a time there is again 1 egg left however if the trader sells 7 is at a time there is no egg left is the capacity of the basket is 108 then find how many days are there in the basket explain with reasoning.

Answers

Answer:

Step-by-step explanation:

add a picture of the question please

Solution:- A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a time there is again 1 egg left however if the trader sells 7 is at a time there is no egg left is the capacity of the basket is 108

LCM of 3 and 4 = 3×4 = 12

The capacity of the basket is 100.

So, there may be:-

= 12 × 8 +1

= 96 + 1

= 97 eggs.

But, 97 is not divisible by 7.

Again, there may be:

12 × 7 +1 = 85 eggs.

12 × 6 +1 = 73 eggs.

12 × 5 +1 = 61 eggs.

12 × 4 +1 = 49 eggs.

Among these numbers 85 , 73 and 61 are not divisible by 7. But 49 is divisible by 7.

So, the number of eggs in the basket is 49.

[Answer = 49]

Three different members of the set {4,5,6,7,8,9} are chosen at random and added. How many different sums are possible?

Answers

There are 10 sums that are possible

Can someone help me with this problem? Please.

Answers

Answer:

(7x-1)-3(7x-1)

Step-by-step explanation:

First write out the problem

7x^2-22x+3

Next, Factor the expressions

7x^2 - x - 21x + 3

Now factor the whole thing

x(7x-1)-3(7x-1)

Defining congruent triangles

Answers

All angles are the same and all side lengths are equal/congruent

Final answer:

Congruent triangles are triangles that have the same size and shape, with corresponding sides and angles that are equal. They can be proven congruent using criteria such as SSS, SAS, and ASA.

Explanation:

**Congruent triangles** are triangles that have the same size and shape. In other words, all corresponding sides and angles of congruent triangles are equal. There are several ways to prove that triangles are congruent, such as the Side-Side-Side (SSS) Criteria, Side-Angle-Side (SAS) Criteria, Angle-Side-Angle (ASA) Criteria, and more. For example, if two triangles have the same length for each corresponding side, they are congruent.

The cone shown has a diameter of 16 m and a slant height of 10 m which choice is the closest to the lateral surface area

Answers

Answer: 251 square meters.

Step-by-step explanation:

You need to use the formula for calculate the lateral surface area of a cone:

[tex]LA=3.14rl[/tex]

Being "r" the radius of the cone and "l" the slant height.

Calculate the radius:

[tex]r=\frac{diameter}{2}\\\\r=\frac{16m}{2}\\\\r=8m[/tex]

Now that you know the radius and the slant height of the cone, you need to substitute them into the formula for calculate the lateral surface area of the cone:

[tex]LA=(3.14)(8m)(10m)\\LA=251.2m^2[/tex]

Therefore, the closest choice to the lateral surface area of the cone is: 251 square meters.

Which numbers are solutions to the inequality?

Answers

The answers are 0, 2, and 4. The other ones turn out to be greater than 6

Answer:0,2,4

Step-by-step explanation:

EGDE 2023

What do I do to answer this question

Answers

Answer:

16

Step-by-step explanation:

(-4) * (-4) = 16

BECAUSE... a negative times a negative equals positive

Answer:

16

Step-by-step explanation:

-4 X -4 = 16

B squared means a number times itself.

Can you help me with 9 I need your help plz help me I’m begging you so much plz help me I’m begging you plz help me plz it’s an emergency plz help me plz

Answers

Answer:

9.) A. integers

Step-by-step explanation:

rational numbers can't have negatives

whole numbers can't have fractions

negative numbers can't have positives

---hope this helps!!

Solve graphically the system of linear equations: 3x−2y=6 3x+10y=−12


Please help me

Answers

Answer:

The solution of the system of equations is the point [tex](1,-1.5)[/tex]

Step-by-step explanation:

we have

[tex]3x-2y=6[/tex] -----> equation A

[tex]3x+10y=-12[/tex] -----> equation B

we know that

The solution of the system of equations is equal to the intersection point both graphs

using a graphing tool

The intersection point is [tex](1,-1.5)[/tex]

therefore

The solution of the system of equations is the point [tex](1,-1.5)[/tex]

Sunil receives a 20% discount on a concert ticket that costs $75. If Sunil pays $3.30 in sales tax on the discounted ticket, what is the sales tax rate?

Answers

Answer:

5.5%

Step-by-step explanation:

100%-20%=80%

80%×$75=$60

3.30/60×100%=5.5%

the sales tax rate is 5.5%

Final answer:

The sales tax rate on Sunil's discounted concert ticket is found by calculating the discounted ticket price and then dividing the sales tax paid by this discounted price, resulting in a sales tax rate of 5.5%.

Explanation:

To find the sales tax rate, we need to calculate the discounted price of the concert ticket and then use the amount of sales tax paid to determine the rate. Initially, Sunil receives a 20% discount on a $75 ticket.

The calculation for the discount amount is $75 × 0.20 = $15. Thus, Sunil's discounted ticket price is $75 - $15 = $60.

Now, knowing Sunil paid $3.30 in sales tax for the discounted ticket, we can find the sales tax rate by dividing the sales tax amount by the discounted ticket price:

$3.30 ÷ $60 = 0.055, or 5.5% when converted to a percentage. Therefore, the sales tax rate is 5.5%.

a scale on a map shows that 2 inches =25 miles part A how many inches on the map represents 60 miles part B how many miles are represented by 1 over 4 inch on the map

Answers

Answer:

Answer: part a is 4.8 and part b is 3.125

Step-by-step explanation:

PART A.  60/25 = 2.4 (inches)

PART B.  25/4 = 6.26 (miles)

Hope this helps! Please mark me as brainliest if it did.

Find the area of the irregular figure. I've been stuck on this for awhile. Please help and explain how you did it.

Answers

Answer: 368 ft^2

Step-by-step explanation:

Pretend it is a square and multiply both sides (23*20=460). The triangle that is cut out has an area of 92 (23*8/2). We know the height of the triangle is 8 because 20-12. We subtract 460-92 and get our answer. :)

to the risk of sounding redundant, as the previous posting is absolutely correct.

Check the picture below.

we know the circum-inscribing figure is a square, namely a 23x20, so it has an area of 23*20 = 460 ft².

the distance from the bottom up, is 20, however to the tip of the triangle is 12, so the diffference is 20 - 12 = 8, meaning the triangle, in yellow, has a height/altitude of 8 ft, and we know its base is 23 ft.

so if we simply take the whole area of the square, and then subtract the area of the triangle, we're in effect making a whole in the squarish area, and what's leftover is the shaded area.

[tex]\bf \stackrel{\textit{square's area}}{(23\cdot 20)}~~~~-~~~~\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(23)(8)}\implies 460~~-~~92\implies 368~ft^2[/tex]

Parallel lines are preserved in which of the following types of transformations?

Answers

Parallel lines are preserved in:

Reflections, Translations & Rotations

Final answer:

Parallel lines maintain their geometric property of not intersecting through all three transformations: rotations, reflections, and translations. Therefore, the correct answer is Option B. l, II, and III.

Explanation:

In the field of mathematics, particularly in geometry, transformations involve the manipulation of shapes while preserving their essential properties. In the case of parallel lines, their key property is that they do not intersect, regardless of their length.

Out of the transformations listed - rotations, reflections, and translations - parallel lines are preserved in all three. Therefore, your answer is Option B. l, II, and III.

Specifically, a rotation spins the figure around a fixed point, a reflection flips the figure over a line, and a translation slides the figure along a straight line, parallel to the original lines. In all these transformations, the lines remain parallel to each other.

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the complete question is written below:

Parallel lines are preserved in which of the following types of transformations?

l. rotations

II. reflections

Ill. translations

A. I and II only

B. l, II and Ill

C. I only

D. I and III only

if f(x)=-3x+4 and g(x)=x2, what is (g°f)(0)

Answers

Answer:

16

Step-by-step explanation:

Answer:

[tex](g\circ f)(0)=16[/tex]

Step-by-step explanation:

The given functions are

[tex]f(x)=-3x+4[/tex] and [tex]g(x)=x^2[/tex]

We first find the composition; [tex](g\circ f)(x)[/tex]

[tex](g\circ f)(x)=g(f(x))[/tex]

[tex](g\circ f)(x)=g(-3x+4)[/tex]

[tex](g\circ f)(x)=(-3x+4)^2[/tex]

We now plug in x=0, to obtain;

[tex](g\circ f)(0)=(-3(0)+4)^2[/tex]

[tex](g\circ f)(0)=(4)^2[/tex]

[tex](g\circ f)(0)=16[/tex]

A given by no real distribution has a mean of 153.1 and a standard deviation of 18.2 would a value of 187 be considered usual or unusual? why?

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

(18.2 x 2) + 153.1 = 189.5 (this is considered the highest value)

153.1 - (18.2 x 2) = 116.7 (this is considered the lowest value

An unusual value would be more than 2 standard deviations away from the mean in a positive or negative direction.

In this case, the value is less than the highest value.

The value of 187 would be considered usual as it is less than 2 standard deviations away from the mean.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Final answer:

The value of 187 from a distribution with a mean of 153.1 and standard deviation of 18.2 can be considered 'usual'. This conclusion is reached by calculating the Z-score and determining that it falls within the usual range of +/-2 standard deviations from the mean.

Explanation:

The question provided is one that tackles the subject of statistics, more specifically, the concepts of mean, standard deviation, and the identification of data as being usual or unusual. The distribution in question has a mean of 153.1 and a standard deviation of 18.2. With a value of 187, we need to determine whether it would be considered usual or unusual.

To answer this, we would utilize the concept of Z-score, which measures how many standard deviations an element is from the mean. A Z-score of +/- 2 or more is generally considered unusual. Let's compute:

Z = (X - μ) / σ

Where:

X is the value, 187 in this case μ is the mean, which is 153.1 σ is the standard deviation, which is 18.2

Substitute these into the Z-score formula:

Z = (187 - 153.1) / 18.2 = 1.86

As the Z score is within the range of +/-2, the value 187 is thus interpreted as usual.

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Which inequality best represents the graph?

a. y<1/2x-1

b. y≤2x-1

c. y<2x-1

d. y≤1/2x-1

Answers

Answer:

Last option

y ≤ 1/2 x - 1

Step-by-step explanation:

The graph is linear inequality. Since the graph is a solid line so the inequality symbol is either ≥ or ≤.

The colored grey is shaded below the line, so the symbol is ≤.

So either  y≤1/2x-1 or  y≤2x-1

Now we have to find the slope to see which equation is the right one.

(2,0) and (0,-1)

Slope = (0 + 1) /(2-0) = 1/2 and b = y intercept = -1

So equation:

y ≤ 1/2 x - 1

Final answer:

The correct inequality that represents the graph is y≤2x-1.

Explanation:

In this question, we are asked to determine which inequality best represents the graph. From the given options, the correct choice is b. y≤2x-1. This choice represents a graph where y is less than or equal to 2x minus 1. To verify this, we can examine some points on the graph.

For example, let's test the point (0,0). Substituting these values into the inequality, we get 0 ≤ 2(0) - 1, which simplifies to 0 ≤ -1. Since this statement is true, the point (0,0) lies on the graph. Similarly, we can test other points to confirm that the inequality correctly represents the graph.

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Which operation has an inverse relationship with multiplication? A. Addition B. Division C. Squaring D. Subtraction

Answers

Answer:

B. Division

Step-by-step explanation:

inverse - something that is the opposite or reverse of something else.

Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on. Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry.

Final answer:

Division is the operation that has an inverse relationship with multiplication, as they 'undo' each other through the use of reciprocals.

Explanation:

The operation that has an inverse relationship with multiplication is division. In mathematics, inverse operations are pairs of operations that 'undo' each other. Just as subtraction is the inverse operation of addition, division is the inverse when it comes to multiplication. When you multiply a number by another number, you can reverse this action by dividing the product by the same number.

To better grasp this concept, let's consider the relationship between multiplication and division with fractions. If we divide by 8, it is equivalent to multiplying by 1/8. Conversely, multiplying by 1/8 is the same as dividing by 8. Therefore, these two operations, multiplication and division, are interconnected through the use of reciprocals.

the volume of a cone with a height of 10 meters is 20 pi cubic meters. what is the diameter of the cone?

Answers

Final answer:

To find the diameter of a cone with a given volume and height, use the volume formula, substitute the given values, and solve for the radius. The calculated diameter of this cone is approximately 4.90 meters.

Explanation:

To find the diameter of a cone given its volume and height, we can use the formula for the volume of a cone: V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. Given that the volume (V) is 20π cubic meters and the height (h) is 10 meters, we can substitute these values into the formula and solve for r.

First, rearrange the formula to solve for r: r = √((3V)/(π×h)). Substitute V = 20π and h = 10 into the equation to get r = √((3×20π)/(π×10)) = √(6) meters. Therefore, the diameter of the cone, which is twice the radius, is 2×√(6) meters, or approximately 4.90 meters.

The diameter of the cone is  [tex]\[ d = 4\sqrt{3} \][/tex]

To find the diameter of the cone, we first need to determine the radius of the cone's base. The volume V of a cone can be calculated using the formula:

[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]

where r is the radius of the base and h is the height of the cone. Given that the volume V is [tex]\(20\pi\)[/tex] cubic meters and the height  [tex]\(h\) is \(10\)[/tex] meters, we can set up the equation:

[tex]\[ 20\pi = \frac{1}{3} \pi r^2 \cdot 10 \][/tex]

[tex]\[ 60 = r^2 \cdot 10 \] \[ \frac{60}{10} = r^2 \] \[ r^2 = 6 \][/tex]

Taking the square root of both sides gives us the radius r:

[tex]\[ r = \sqrt{6} \][/tex]

Since the radius is half the diameter, we can find the diameter d by multiplying the radius by 2:

[tex]\[ d = 2r \] \[ d = 2\sqrt{6} \] \[ \sqrt{6} = \sqrt{2 \cdot 3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} = 2\sqrt{3} \][/tex]

Thus, the diameter d of the cone is:

[tex]\[ d = 2 \cdot 2\sqrt{3} \][/tex]

[tex]\[ d = 4\sqrt{3} \][/tex]

Find y. Round to the nearest tenth

Answers

Answer:

17.24

Step-by-step explanation:

The value of y is 243 ft.

We can use the sine function to find the missing side.

sin(28°) = opposite / hypotenuse

sin(28°) = y / 500

y = 500 * sin(28°)

y = 500 * 0.485

y = 242.5 ft

Round to the nearest tenth:

y = 243 ft

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Nick types 275 words in 2.5 minutes. At this rate, how many hours would it take for him to type 9900 words?

Answers

3/5 of an hour (0.6 hours)



First, find how many words Nick types in an hour by multiplying 275 * 60.

Nick types 16,500 words per hour.

Now just divide 9,900 by 16,500.

It takes Nick 3/5 of an hour to type 9,900 words. (0.6 hours)



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