How do you solve this?

Given:

The data values are:

22, 14, 24, 20, 36, 28, 43, 35

To find:

The mean absolute deviation of the given numbers.

Solution:

We have,

22, 14, 24, 20, 36, 28, 43, 35

The measure of the given numbers is:

[tex]\overline{x}=\dfrac{\sum_{i=1}^{n} x_i}{n}[/tex]

Where, [tex]x_i[/tex] represents the observations and n is the number of observation.

So, the mean value of the given data set is:

[tex]\overline{x}=\dfrac{22+14+24+20+36+28+43+35}{8}[/tex]

[tex]\overline{x}=\dfrac{222}{8}[/tex]

[tex]\overline{x}=27.75[/tex]

The formula for is mean absolute deviation is:

[tex]M.A.D.=\dfrac{1}{n}\sum_{i=1}^{n}|x_i-\overline{x}|[/tex]

The mean absolute deviation of the given numbers is:

[tex]M.A.D.=\dfrac{1}{8}[|22-27.75|+|14-27.75|+|24-27.75|+|20-27.75|+|36-27.75|+|28-27.75|+|43-27.75|+|35-27.75|][/tex]

[tex]M.A.D.=\dfrac{1}{8}[5.75+13.75+3.75+7.75+8.25+0.25+15.25+7.25][/tex]

[tex]M.A.D.=\dfrac{1}{8}[62][/tex]

[tex]M.A.D.=7.75[/tex]

Therefore, the mean absolute deviation of the given numbers is 7.75.

Answer:

Abby rode the fastest

Hope that helps!

Answer:

Abby rode the fastest.

Step-by-step explanation:

Eddie rode the second fastest, since they the second highest line. Greg rode second to last, and Michelle rode the slowest, since they have the lowest line.

Answer:

15 months

Step-by-step explanation:

in 15 months all of the baby's would have surpassed 20 months old, hope this helps!

Answer:

13.6 in

Step-by-step explanation:

Please refer to the attachment

Answer:

Catalina has 10 pencils total. (2 x 5 = 10)

Reese has 100 pencils total. (20 x 5 = 100)

Answer:

1. 10 2. 100

Step-by-step explanation

5 x 2= 10

20x 5= 100

Answer:

SA = 384 in²

Step-by-step explanation:

Assuming we're finding surface area:

SA of top of large cube: 8(8) - 4(4) = 48 in²

SA of sides of large cube: 4(8)(8) = 256 in²

SA of exposed faces of small cube: 5(4)(4) = 80 in²

Total = 48 + 256 + 80 = 384 = ∑SA

Answer:x= 40

Step-by-step explanation:

x+80+60= 180 (angles on a straight line)

Answer:

when distributing the first equation 1/4(8y+24) it is actually 2y+6 because 1/4*24= 6 not 8

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

2.5² + 5.2² = c² ≈ 5.8 units

Answer:

5.8

Step-by-step explanation:

√(2.5^2 + 5.2^2) = 5.77

5.77 to the nearest ones decimal point is 5.8

Answer:

arc QS = 104°

Step-by-step explanation:

arc QTS = 2(128) = 256

arc QS = 360 - 256 = 104°

The measure of arc length QS is 104.

We have,

An inscribed angle is an angle whose vertex is on the circumference of a circle, and its sides are chords of the circle.

From the definition,

Inscribed angle = 1/2 x intercepted arc

Now,

128 = 1/2 x QTS

QTS = 256

Now,

QTS + QS = 360

256 + QS = 360

QS = 360 - 256

QS = 104

Thus,

The measure of QS is 104.

Learn more about arc lengths here:

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Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

Given

(4a + 3)² = (a + 5)(a - 2)

(4a + 3)(4a + 3) = (a + 5)(a - 2 ) ← expand both sides using FOIL

16a² + 24a + 9 = a² + 3a - 10 ( subtract a² + 3a - 10 from both sides )

16a² - a² + 24a - 3a + 9 + 10 = 0 ← collect like terms

15a² + 21a + 19 = 0

I can't see pictures, but I'm assuming you want it solved.

x+2>7.

Cancel out the 2 by subtracting 2 from both sides.

x+2>7

 -2   -2

x>5

So the inequality is x>5.

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hope it helps

sorry if it doesn't

Answer:

[tex]\Huge\boxed{D}[/tex]

Step-by-step explanation:

Hello There!

A is not true because overall 22% had trucks of the 100 people while only 9% overall had a van. So more people overall had trucks then vans meaning that vans has the lowest percentage of type of vehicle driven therefore we can eliminate answer choice A

B is also incorrect because from ages 41-50, a total of 14 people drive a van or sedan. Also from ages 41-50, a total of 14 people drive a SUV or truck. Because the total of people that drive each of the grouped vehicles is the same neither of the percentages would be lower or higher therefore we eliminate answer choice B

C is also incorrect because the same amount of people in the age group 31-40 drive trucks as the amount of people in the age group 41-50. Because the same amount of people from the different age groups drive trucks the percentage would be neither higher nor lower therefore C is incorrect

D is the correct answer choice because the total amount of people that drive trucks from the age range 21-30 is the same as the amount of people that drive a truck from other age groups. Or to be more specific the sum of the people who drive a truck from ages 31-40, 41-50 and over 50 is 11 (3+4+4=11) This meaning that the same percentage of people in the age range from 21-30 that drive a truck is the same as the percentage of people that drive a truck from the sum of the other age ranges. Hence the correct answer choice is D

37.5% esa es la respuesta correcta

Answer:

37.5%

Step-by-step explanation:

Answer:

3.8

Step-by-step explanation:

0.2 x 7=1.4

1.4+2.4=3.8

Answer:

240 in²

Step-by-step explanation:

3 x 8 x 6 = 144

2 x 6 x 8 = 96

144+96 = 240

Answer:

20

Step-by-step explanation:

2 1/2 = 5/2

5/2 x 4/1 = 20/1 = 20

(We are dividing fraction)

(keep change flip)

Answer:

the answer is 3

Step-by-step explanation:

3×3=9 3×4=12

Answer:

c

Step-by-step explanation:

Fluid Ounces would be likely to use to measure the capacity of a mug.

The unit to measure the volume of a mug is required.

The best suitable unit is fluid ounces.

Let us convert each unit to liters which will help us compare the units.

[tex]1\ \text{teaspoon}=0.00493\ \text{l}[/tex]

[tex]1\ \text{quart}=0.95\ \text{l}[/tex]

[tex]1\ \text{fluid ounce}=0.0296\ \text{l}[/tex]

A teaspoon is to small to measure a mug's volume, while a quart is too large.

So, the best suitable unit is fluid ounces.

Learn more:

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100000000 that's the answer

Answer:

1000000000

Step-by-step explanation:

All you had to do is 10 times 10 9 times if

Answer:

15, 16,31

Step-by-step explanation:

The rule is that each time you add by 7, like in the first 2.  4+7=11 and 7+7=14

Answer: Choice A) 5x^3 - x - 3

=================================================

Work Shown:

We subtract the two functions like so

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 5x^3-2 ) - ( x+1 )

(f - g)(x) = 5x^3 - 2 - x - 1

(f - g)(x) = 5x^3 - x - 3 ..... choice A

Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.

Answer:

15x+20y+5z

Step-by-step explanation:

Trust me.

Answer:

d

Step-by-step explanation: bc i said

The possible error of measurement is half of the smallest unit on the tape measure, which is half an inch, option B is correct.

Two or more expressions with an Equal sign is called as Equation.

The possible error of measurement refers to the smallest unit of measurement on the tape measure.

In this case, the tape measure is marked every half inch, so the smallest unit of measurement is 0.5 inches.

Therefore, the possible error of measurement is also 0.5 inches.

This means that any measurement taken using this tape measure may be off by up to 0.5 inches due to the limitations of the instrument used.

Hence, the possible error of measurement is half of the smallest unit on the tape measure, which is half an inch. Therefore, the answer is B. 0.5 in.

To learn more on Equation:

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Answer:

angle dgc=90°

angle age=30°

to find=x

angle dgc=angle agb(by vertical opposite angle)

ege is a straight line.

angle age+angle agb+angle bgf=180°[straight line measure 180°]

30°+ 90°+x=180°

120°+x=180°

x=180°-120°

x=60°

Answer:

Y = 6

Step-by-step explanation:

Rearrange terms

4+ =10

+ 4 = 10

Subtract 4  from both sides of the equation:

+ 4 =10

+ 4 −4 = 10 − 4

Simplify: Subtract Numbers:

Solutions is y= 6