Davita works at a shoe store. She measured the feet of nine customers and found that their shoe sizes were 4, 5, 5, 6, 7, 8, 8, 10, 10. Find the sum of the absolute deviations from the mean and the mean absolute deviation. Explain how you found the MAD.

Answer:

C

Step-by-step explanation:

The matrices are conformable for multiplication.

Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.

AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C

Answer:

- 8/5

Step-by-step explanation:

A line has x-intercept -8 and y-intercept 5.

It means the line has passes through:

Slope as per slope formula:

Perpendicular lines have slopes negative reciprocal to each other

So the slope of the perpendicular line is:

Answer:

simplified expression for √x^2+6x+9 if x≥3

is x+3

Step-by-step explanation:

[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]

but given that x≥3

then we have to negate solution -(x+3)\

Then simplified expression for √x^2+6x+9 if x≥3

is x+3

Answer:

x = 7.

Step-by-step explanation:

-18 = 6 (x - 10)

-18 = 6x - 60

6x = -18 + 60

6x = 42

x = 42/6 = 7.

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]-18=6(x-10)[/tex]

Use distributive property.

[tex]-18=6x-60[/tex]

Add 60 on both sides.

[tex]-18+60=6x[/tex]

[tex]42=6x[/tex]

Divide by 6 on both sides.

[tex]\frac{42}{6} =x[/tex]

[tex]7=x[/tex]

Another method.

[tex]-18=6(x-10)[/tex]

Divide by 6 on both sides.

[tex]-18/6=x-10[/tex]

[tex]-3=x-10[/tex]

Add 10 on both sides.

[tex]-3+10=x[/tex]

[tex]7=x[/tex]

Give me Brainliest if my answer helped you.

Answer:

y<-2x-3

Step-by-step explanation:

y∠mx+b  

find the slope m : x=0, y=-3 (0,-3)

                              x=-3, y=3 (-3,3)

m=y2-y1/x2-x1

m=3-(-3)/-3-0

m=6/-3 =-2

y=-2x+b b=-3  when x=0, y=b

y<-2x-3

Answer:

y<-2x-3

Step-by-step explanation:

Answer:

(a+b)(a+b-c)

Step-by-step explanation:

Formula:

(a+b)² = a² + b² + 2ab

Therefore,

a²+b²+2ab -ac-bc

= (a+b)² -ac-bc

Now take -c common in ac and bc

(a+b)² -c(a+b)

now take (a+b) common in both terms

(a+b)(a+b-c)

.

Hope it helps

The value of the equation is A = ( a + b ) ( a + b - c )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = a² + 2ab + b² - ac - bc   be equation (1)

On simplifying the equation , we get

( a + b )² = a² + 2ab + b²

So ,

A = ( a + b )² - ac - bc

Taking the common factor in the equation , we get

A = ( a + b )² - c ( a + b )

Taking the common factor in the equation , we get

A = ( a + b ) ( a + b - c )

Hence , the equation is A = ( a + b ) ( a + b - c )

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Answer:

5

Step-by-step explanation:

in math we can write as this

[tex] \frac{4}{x + 7} = \frac{3}{x + 4} [/tex]

4(x+4)= 3(x+7)

4x + 16 = 3x + 21

4x - 3x = 21 - 16

x = 5

Answer:

x=5

Step-by-step explanation:

You can approach this question in many different ways, but i'm gonna look at it algebraically, since it's the quickest and works pretty much all the time.

First, you want to convert the words they've given you and make it into a less confusing equation.

They told us that 4 divided by (x+7) = 3 divided by (x+4), which is the same as:

[tex]\frac{4}{x+7}[/tex] = [tex]\frac{3}{x+4}[/tex]

Now, we can multiply both sides by (x+7), which gives me:

4 = [tex]\frac{3(x+7)}{x+4}[/tex]

Now we can multiply both sides by (x+4), to get rid of the fractions:

4(x+4) = 3(x+7)

Then expand the brackets:

4x + 16 = 3x + 21

Move the x to one side and numbers to another side:

4x - 3x = 21 - 16

x = 5

Hope that helped : )

Answer:

Cone and cylinder are the two solid shapes which are when joined together  form a new shape that has three faces, two edges and one vertex.

Answer:

C

Step-by-step explanation:

[tex]y=(2x-3)/5[/tex]

[tex]5y=2x-3[/tex]

[tex](5y+3)/2=x[/tex]

[tex](5x+3)/2=y[/tex]

[tex]f^{-1}(x)=(5x+3)/2[/tex]

Answer:

[tex]x=98[/tex]

Step-by-step explanation:

Angles in a triangle add up to 180°

[tex]180-45-53[/tex]

[tex]=82[/tex]

Angles in a straight line add up to 180°

[tex]180-82[/tex]

[tex]=98[/tex]

The instructions state "there are a  minimum of 16 players and at most 20  players on the team". This means that we have between 16 and 20 players, inclusive of both endpoints. Therefore, x can take on any whole number between 16 and 20. The domain is the set of allowed x inputs of a function.

Answer:

Look up how  to find volume and you'll get the answer right away

Step-by-step explanation:

Answer:

13/6

Step-by-step explanation:

6/13 * x = 1

Multiply each side by 13/6

6/13 * 1/3 6  * x = 1 * 13/6

x = 13/6

Answer:  [tex]\bold{\dfrac{1}{6}=16.67\%}[/tex]

Step-by-step explanation:

       First pick    and      Second pick

   [tex]\dfrac{4\ blue}{9\ total\ marbles}\times\dfrac{3\ green}{8\ remaining\ marbles}\quad =\dfrac{12}{72}\quad =\large\boxed{\dfrac{1}{6}}[/tex]

Answer:

[tex] x = 3 + \frac{3y}{2} \\ [/tex]

Step-by-step explanation:

[tex]2x - 3y = 6 \\ 2x = 6 + 3y \\ \frac{2x}{x} = \frac{6 + 3y}{2} \\ x = 3 + \frac{3y}{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day !

Answer:

D

Step-by-step explanation:

B needs to be 0 or else there is an extra constant term which makes the equation non proportional

Answer:

-1

Step-by-step explanation:

x=(-2)

2(-2) +3

-4 +3

= -1 .

Answer: Ferenc

Step-by-step explanation:

512 / 5.28 = 0.97 goals for every match

247 / 3.43 = 0.72 goals for every match

360÷20 = 18sides

U divide 360 by 20 because angles at the center add up to 360°

The given polygon will have 18 sides in total.

Given information:

The diagram shows part of a regular polygon.

The sides of this polygon subtend angles of 20° at the center of the polygon.

Let the polygon has n number of sides.

Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.

The sum of angles made by all the sides will be equal to 360 degrees.

So, the number of sides n can be calculated as,

[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]

Therefore, the given polygon will have 18 sides in total.

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Answer:

s = 1.17, -23.17

Step-by-step explanation:

s^2 + 22s = 27

Take the coefficient of s

22

Divide by 2

22/2 =11

Square it

11^2 =121

Add this to both sides

s^2 + 22s+121 = 27+121

s^2 + 22s+121  = 148

(s+11)^2 = 148

Take the square root of each side

sqrt((s+11)^2) = ±sqrt(148)

s+11 =  ±sqrt(148)

Subtract 11 from each side

s+11-11 = -11  ±sqrt(148)

s =  -11  ±sqrt(148)

s = -11 + sqrt(148) = 1.1655

   - 11 - sqrt(148)=-23.166

Rounding to the nearest hundredth

s = 1.17, -23.17

Answer:  2, 6

Step-by-step explanation:

Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.

RS + ST > RT    and     RS + RT > ST     and     ST + RT > RS

2x + 4x > 12                  2x + 12 > 4x                  4x + 12  > 2x

       6x > 12                          12 > 2x                          12  > -2x

         x > 2                            6 > x                             -6 < x

         2 < x                             x < 6                             invalid

Answer:  2 < x < 6      

Graph:     O----------------------O

                2                          6

 Note: -6 is invalid because you cannot have a negative length.                     

Answer: the  answer is -0.04 ,1 ,-0.04 ,loss of 0.04 gallons of fuel for every 1 mile

Step-by-step explanation:

From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).

It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row

The change in fuel remaining from one row to the next in the table is -0.04 gallons.

1) The change in fuel remaining from one row to the next in the table is -0.04 gallons.

2) The change in distance from one row to the next in the table is 1 mile.

3) The slope of the line that runs through the points given in the table is -0.04.

4) The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).

Hence, It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row is,

⇒ 13.46 - 13.50

⇒ - 0.04

Thus, The change in fuel remaining from one row to the next in the table is -0.04 gallons.

And, The change in distance from one row to the next in the table is 1 mile.

Hence, The slope is the rate of change of remaining fuel with respect to change in distance is,

⇒ m = - 0.04/1

⇒ m = - 0.04

Thus, The slope of the line that runs through the points given in the table is -0.04.

And, The slope indicates a Change in the fuel remaining in each mile. The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.

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_________________________________

Range=20

Median=15

Step by step explanation:

Solution,

Given data=12,13,19,16,32,15,13

Highest score=32

lowest score=12

a. Range= highest score- lowest score

= 32-12

= 20

B. Arranging the data in ascending order

= 12,13,13,15,16,19,32

N( total number of items)= 7

Median= (N+1/2)th item

=(7+1/2) th item

= (8/2) th item

= 4 th item

Median = 15

Hope it helps

Good luck on your assignment

_________________________________

Answer:

(3,3)

Step-by-step explanation:

x + y - 6= 0

x- y = 0

Add the two equations together

x + y - 6= 0

x- y = 0

-------------------

2x - 6 = 0

Add 6 to each side

2x-6+6 = 0

2x = 6

Divide by 2

2x/2 = 6/2

x = 3

Now find y

x-y = 0

3 - y = 0

y = 3

Answer:

Step-by-step explanation:

y=6-x first equation

y=x for the second

Answer:

121

Step-by-step explanation:

5x-54=3x+16

5x-3x=16+54

2x=70

x=35

-------

mAB= 5x-54= 5*35-54= 175-54= 121

Answer:

10 units

Step-by-step explanation:

Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.

The volume of Haley's prism is:

V = 5 * 3 * 4 = 60 cubic units

Jeremiah's prism has twice the volume of Haley's:

V(J) = 2 * 60 = 120 cubic units

This implies that:

120 = 4 * 3 * h

where h = height of prism

=> 120 = 12h

=> h = 120 / 12 = 10 units

Jeremiah's prism is 10 units tall.

Answer:

[tex]1000[/tex]

Step-by-step explanation:

[tex]3443-2476[/tex]

[tex]=967[/tex]

Answer:

2

Step-by-step explanation:

the - means you have to subtract to add. so subtract 3 over 4 and you get 2

Answer:

m = 3.86

Step-by-step explanation:

D = 6 / 7

D = m + 3

6 / 7 = m + 3

6 / 7 + 3 = m

m = 3.86