What is the Standard Deviation of the following set of data?
14, 22, 18, 12, 14, 8, 4, 12, 32, 12

The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x

Given that:

[tex]Length = 15[/tex]

[tex]Width = 30[/tex]

Let the width of the walkway be x.

The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):

So, we have:

[tex]Length = 15 + x + x[/tex]

[tex]Length = 15 + 2x[/tex]

[tex]Width = 30 + x + x[/tex]

[tex]Width = 30 + 2x[/tex]

The perimeter (P) of the walkway is then calculated using:

[tex]P = 2 \times (Length + Width)[/tex]

This gives:

[tex]P = 2 \times (15 + 2x + 30 + 2x)[/tex]

Collect like terms

[tex]P = 2 \times (15 + 30+ 2x + 2x)[/tex]

[tex]P = 2 \times (45+ 4x)[/tex]

Open brackets

[tex]P = 2 \times 45+ 2 \times 4x[/tex]

[tex]P = 90+ 8x[/tex]

Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)

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Answer:

Difference: 4-(-18)=22

                             =22 degrees celcius

Lowest temperature: 12 degrees higher that -18 degrees

                                  = 12+(-18)

                                  = -6 degrees celcius.

Step-by-step explanation:

Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

What is graph transformation?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.

Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.

Since the triangle ABC and DEF is similar

So we can write,

DE/BC=EF/AB=FD/CA

scale factor =Length of CA/length of DF

                     =6/3

                      =2:1

Reflected at y axis i.e x=0

and raised by 2 units.

Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

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Answer:

the last one

Step-by-step explanation:

Step-by-step explanation:

(5×G)-F=25-F

I hope it helped U

stay safe stay happy

Answer:

0

Step-by-step explanation:

63 * 0 is 0. 0 * (-7) is also 0.

Anything multiplied by 0 is 0, no matter how big the number is, or how many numbers there are.

Hope this helps :)

Answer: (5,3)

Step-by-step explanation:

A 180 degree rotation will take you to sector b which is (+,+), so I knew it was going to be positive.

Answer:

I put the answers in order.

True

False

True

False

(Hope this helped☺️! )

Answer:

[tex]x < -7[/tex]

Step-by-step explanation:

[tex]4 - (x+2) <-3(x+4)\\\\4 - x -2 < -3x -12\\2 -x < -3x-12\\-x < -3x-14\\2x < -14\\x < -7[/tex]

Answer:

d. Growth factor is [tex]1.07^{x}[/tex] ; y-intercept is 6

Step-by-step explanation:

I. When y = 6([tex]1.07^{x}[/tex])

If growth factor means

          y.value will increase if x.value is increase

Prove Given x = 1, 2

 y = 6(1.07)^1

      = 6.42

  y = 6(1.07)^2

        = 6.866

That makes 1.07 is growth factor

Answer:

A.

[tex] \sqrt{x } \div 2[/tex]

is the answer

The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].

Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.

The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]

Calculating the expression we get,

[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]

So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].

Hence the correct option is (A).

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Step-by-step explanation:

Divide your 320 million with 618 and that's your answer.

Answer:

517799

Step-by-step explanation:

Hey there! I'm happy to help!

The formula for the perimeter of a rectangle is 2L+2W=P where W is the width and L is the length. This is because we have our two sides that are lengths and our two sides that are widths (different values) and we add them together to see what the distance around the whole rectangle is.

So, let's insert these values into the equation.

2(2x+4)+2(x+8)=96

We use the distributive property to remove the parentheses (which is us multiplying our equations for length and width by two).

4x+8+2x+16=96

We combine the like terms.

6x+24=96

We subtract 24 from both sides.

6x=72

Divide both sides by 6.

x=12

Now that we have our value of x, we can plug it into our length and width equations to find those values.

LENGTH:

2x+4

2(12)+4

24+4

28

WIDTH:

x+8

12+8

20

So, our length is 28 and our width is 20.

Have a wonderful rest of your day and keep on learning! :D

Answer:

Fred has = 9 $

Alicia has = 9 + 8 =17 $

Step-by-step explanation:

Let, Fred has = f $

Then, Alicia has = f + 8 $ ;[as Alicia has 8 more dollars than fred]

Now, the required expression is

∴[tex]f+(f+8)=26\\=>2f+8=26\\=>2f=18\\f=9[/tex]

So, Fred has = 9 $

Alicia has = 9 + 8 =17 $

Hope you have understood this.....    

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Answer:

43°

im sure the answer is correct

Answer:

m∠b = 43°

Step-by-step explanation:

The image shown shows vertical angles. By the definition of vertical angles, quote:

"Angles opposite of each other when two lines cross are always equal", therefore, if one of the vertical angles is 43°, that implies that m∠b = 43°, by definition of vertical angles.

~

Answer:

a)2,3,4,5,6

b)-3,-1,1,3,5

Step-by-step explanation:

a) y(-2)=-2+4=2

  y(-1)=-1+4=3

   y(0)=0+4=4

  y(1)=1+4=5

  y(2)=2+4=6

b)y=2x+1

 y(-2)=2*(-2)+1=-3

 y(-1)=2*(-1)+1=-1

 y(0)=2*0+1=1

 y(1)=2*1+1=3

 y(2)=2*2+1=5

Answer:

320,400

Step-by-step explanation:

80,100 restricted numbers x 4 area codes

Answer:

we can check the position of √7 is btw p and q

because square of 2 is 4 while square of 6 is 36

and 7 lies btw 4 and 36 therefore √7 lies btw p and Q

Answer:

OPTION C BETWEEN P AND Q

As 7 is equals to 2.78approx.

Step-by-step explanation:

..

Answer:

Step-by-step explanation:

g(x) = 0

0=-5x+5

5x=5

x=1

Answer:

x = 5

Step-by-step explanation:

given:

[tex]g(x) = -5x + 5[/tex]

solve for x, when:

[tex]g(x) = 0[/tex]

replace x with 0

~~~~~~~~~~~~

➡️ [tex] x = -5(0) + 5 [/tex]

➡️ [tex] x = 0 + 5[/tex]

➡️ [tex]x = 5 [/tex]

Answer:

B. 5 cm

Step-by-step explanation:

If the width was 5 cm, the length would be 10 cm.  (5 + 10) x 2 = 30 cm.

Answer:

qss-qvcj-kwr join guys iam bored

Answer:

x  −  1  ⋅  8 /3  =  3

Solve

Step-by-step explanation:

Multiply the numbers

x−1⋅3/8​=3

x - 3/8 = 3

Add  8 /3  to both sides of the equation

− 8 /3 = 3

x−3/8​=3+ 8/ 3 = 3

Simplify

Solution

= 1 7/ 3

Step-by-step explanation:

c = 65(being vertically opposite angle)

a + 65 = 180 (being linear pair)

so, a = 115

b = a(being vertically opposite angle)

so, b = 115

Answer:

[tex]thank \: you[/tex]

Answer:

one

Step-by-step explanation:

Any point where x = 0 will fall on the y axis. The y values do not matter for this question.

Answer:

1

Step-by-step explanation:

Answer:

The answer is Jessica reads 24b books in 2 years where b is the number of books she reads each month.

Step-by-step explanation:

First, decide on your variable. You don't know how many books Jessica reads each month, but you know every month it is the same.

Let b equal the number of books Jessica reads each month.

Next, write a variable expression using b. In one month Jessica reads b books. In 2 months Jessica reads 2b books. The question asks for an expression that represents the total number of books Jessica reads in 2 years. There are 12 months in a year so there are 24 months in 2 years. So your expression is

24b

Answer:

n(a) X n( b) = 6

Step-by-step explanation:

n(a)= 2

n(b) = 3

n(a) X n( b) = 2x3

=6,,

Real numbers may be explained as all set of numbers which may be used for counting, fractions or decimals. Real numbers may be any set of natural, whole, integer, rational or irrational numbers.

• NATURAL NUMBERS which are all set of positive whole numbers from 1. Examples : (1, 3, 5, 8, 100)

• WHOLE NUMBER are set of all natural numbers .while numbers also include the value value (0, 1, 200, 500) are whole numbers

• INTEGERS : include all positive and negative natural or whole number values. They include (-1, - 10, 10, 5)

• RATIONAL numbers are real numbers which can be expressed in the form m/n where both m and n are integer values and the denominator, n ≠ 0 Examples : (1/2, 0.9, 10/1, √4, 3.5)

• IRRATIONAL numbers are real numbers which are not integer values and cannot be expressed in the form m/n Non-terminating and non-repeating decimal numbers are IRRATIONAL numbers. (√3, 1.43136..., 1.4141..., π)

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[tex]\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3[/tex]

Now

[tex]\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]

Step-by-step explanation:

hmmm.

the other answer says the volume of a wedge is

4/9 × pi×r³

but I read here only

4/9 × pi³

so, what is correct ?

if I assume my reading is correct, then the solution is actually

4/9 × pi×r³ = 4/9 × pi³

pi×r³ = pi³

r³ = pi²

[tex]r = \sqrt[3]{ {\pi}^{2} } [/tex]

and that would mean

r ≈ 2.145

Answer:

1 - squared

2- square root

3-exponent

4-cubed root

5-cubed

6-power