b) Find the standard deviation of the number of nights potential customers will need.

Answer:

Each balloon costs $1

Each banner costs $2

Step-by-step explanation:

First of all, let's write down the equation from this problem.

Let "y" be the cost of the ballon, and let "x" be the cost of a banner. Then the following is true from the question...

4y + 2x = 8

6y + x = 8

Now since both of them are equal to 8 both of them are equal to each other, and so we can get the following equation...

4y + 2x = 6y + x

2x - x = 6y - 4y

x = 2y

Now if we substitute 2y instead of x in one of the previous equations we will obtain...

6y + x = 8

6y + 2y = 8

8y = 8

y = 1

From the equation x = 2y we know that...

x = 2y

x = 2(1)

x = 2

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline { \text{To \: Find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.

[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]

Now , LEFT HAND SIDE ( L.H.S )

[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]

⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]

⟼ [tex] \sf{0}[/tex]

RIGHT HAND SIDE ( R.H.S ) : 0

L.H.S = R.H.S [ Hence , proved ! ]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}

\underline{ \underline { \text{To \: Find}}} :

\underline{ \underline{ \text{Solution}}} :

The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}

. Again , Interchange it's rows and columns in order to find ' A '.

\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}

Now , LEFT HAND SIDE ( L.H.S )

\tt{ {A}^{2} - 5A+ 22I}

Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.

⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}

⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}

⟼ \sf{0}0

RIGHT HAND SIDE ( R.H.S ) : 0

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55° (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 55° (supplementary angles).

Answer:

5

ok

THIS IS SIMPLE

MARK AS BRAINLIST

Answer:

The number of chairs

Step-by-step explanation:

The equation is 2z + 3

2 ( = multiply by)

z ( # of chairs)

+3 ( the 3 extra chairs in the back)

Answer:

The number of tables

Step-by-step explanation:

Sens there is twice as many chairs as tables, the number 2 represents the chairs. The 3 represents the 3 extra chairs in the back. so the only logical object to represent z is the number of tables.

Answer:21.87

Step-by-step explanation:

196.83 divided by 9

Answer:

They each cost $21.87

Step-by-step explanation:

If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.

Answer:

D

Step-by-step explanation:

-4+4=0 which is correct

4.8-8.9=-4.1 wrong

12-3=-9 wrong

-9-0.1=90 wrong

Answer:

The Church regulated and defined an individual's life, literally, from birth to death and was thought to continue its hold over the person's soul in the afterlife

Pls mark Brainliest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Yes.

8/16 is 1/2 of 16/16

Answer:

d

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

The answer is 9.2

Step-by-step explanation:

Answer:

Move the decimal place over to the left two spaces

.75--> 7.5--> 75%

and reverse

75%--> 7.5--> .75

Step-by-step explanation:

brainliest plz

Answer:

75%  

Step-by-step explanation:

"Percent" means "per 100" or "over 100". So, to convert 0.75 to percent we rewrite 0.75 in terms of "per 100" or over 100.

Multiply 0.75 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

0.75      100        75

-------- x --------  = -------- which equals to 75%

1             100        100

Hope this helps

can i have brainliest plz

Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

Answer:

6 - 3p

Step-by-step explanation:

The word "product" indicates to multiply 3 and p, and "subtracted from" tells us to use subtraction.

Answer:

the sum of 6 6 66 and the product of 3 3 33 and d d dd".

Step-by-step explanation:

Answer: y-4=-2(x-1)

Step-by-step explanation: So just use the point slope equation of  y-y^1=m(x-x^1)

Answer:

-3

Step-by-step explanation:

-20-15+30+2

-35+32

-3

Answer:

A

Step-by-step explanation:

Is the correct answer

The perimeter of the polygon after dilation = 27 unit

The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.

The perimeter of polygon = 18 unit,

Since, the scaling factor is 3/2,

So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,

Perimeter of polygon = 18×3/2

                                    = 27 unit

The perimeter of the polygon after dilation = 27 unit

To know more about Dilation factor on:

https://brainly.com/question/13176891

#SPJ5

Answer:125

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.

You have the first point back 3, and the second point forward 1.

So starting at -3, you move 4 points to get to 1.

((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))

Answer:

6:15

Step-by-step explanation:

Answer:6:15

Step-by-step explanation:

if you add together the dimes and add together the nickels, you get 6 dimes and 15 nickels. the colon in between the number is equal to “to” so it means 6 dimes to 15 nickels

Answer:

it's the first answer

Step-by-step explanation:

its 2/9 because 1/3 × 2/3 = 2/9

Answer:

It's C

Step-by-step explanation:

1/3 x 2/3 = 2/9, which simplifies back to 1/3

and 1/3=2/6

The diagram should help

Answer:

You draw it on the graph right

Answer:

360 degree

Step-by-step explanation:

A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.

Answer: The value of x is 24

Step-by-step explanation:

I took the test trust me