What is the standard deviation of the following data set rounded to the nearest tenth? 3, 17, 18, 15, 12, 21, 9

Answer:

[tex]x_{2} =24[/tex]

Step-by-step explanation:

Your welcome :)

Answer:

x=42

Step-by-step explanation:

2x42

Answer:

42

Step-by-step explanation:

tell me if i am wrong by reporting

Answer:

Part a)  In order to solve the equation, we will simplify both of them.  Once we do that, if we notice, they are the same equation, so therefore, if x=10, then we will be able to match the equation.

Part b) The reason the expressions are not equal when x=-1/2 is because if we see, that in the second expression, 2x^2, if x=-1/2, then the answer becomes -1, and we eventually end up with 1.

Part c)  As we can see, the expressions are the same, so if x is any number other than -1/2, then we will be able to show that the expressions are equal.

Step-by-step explanation:

You can simplify the explanation, also if you play ROBLOX, follow me at my username: BAMUNJI, or 24KBlingYT

By the way, this question is from the Art of Problem Solving, and you should not just copy answers or copy of them.

Part (a)  We shall simplify both of them in order to find the solution to the equation.

Part (b)  When x=-1/2, the answers to the second expression, 2x2, change to -1, and we eventually arrive in 1.

Part (c)  As we can see, the expressions are identical, thus we can demonstrate that they are equal if x is any number other than -1/2.

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Answer:

C

Step-by-step explanation:

4y-2y=10

y=5

Answer:

240

Step-by-step explanation:

200 divided by 100, to get the amount per percent, then multiply it by 120, to get 240.

Answer:

Step-by-step explanation:200 multipled by 120%

200 • 120/100

Reduce the numbers with the greatest common divisor 100

2 • 100

2 •120

Multiply the numbers

THE ANSWER IS 240

Answer:

[tex]( {a}^{2} - b)(5 {a}^{2} + 6b) \\ 5 {a}^{4} + 6 {a}^{2} b - 5 {a}^{2} b - 6 {b}^{2} \\ = 5 {a}^{4} + {a}^{2} b - 6 {b}^{2} [/tex]

Answer:(4,0) and (-9,0)

Step-by-step explanation:

Using Hooke's Law, the spring would stretch a total of 19.5 cm when 13 washers are placed on it.

To find out how much a spring would elongate when the number of washers is increased, we use Hooke's Law, which describes linear elasticity.

Since it is given that 3 washers cause the spring to stretch 4.5 cm, we can assume that each washer causes an equal amount of stretch under this elastic limit. Therefore, the amount of stretch per washer is 4.5 cm divided by 3, which is 1.5 cm per washer.

If you hang 13 washers on the spring, the total stretch can be calculated by multiplying the amount of stretch per washer with the total number of washers:

Stretch per washer × Number of washers = Total stretch

1.5 cm/washer × 13 washers = 19.5 cm.

So, with 13 washers, the spring would stretch a total of 19.5 cm.

Answer:

2n² = 12 + n

2n² - n - 12 = 0

[tex]n = \frac{1 ± \sqrt{ {( - 1)}^{2} - 4(2)( - 12)} }{2(2)} [/tex]

[tex]n = \frac{1 ± \sqrt{97} }{4} [/tex]

Answer:

C

Step-by-step explanation:

Givens

Original cost = 29 dollars.

Discount = 40% on the second shirt.

Formula

cost after discount = (2 × list price) – (list price × discount percentage)

Solution

Cost after discount = 2 * 29 - 29*40/100

Cost after discount = 58 - 11.60

Cost after discount = 46.40

Answer:

Step-by-step explanation:

Look at the picture.

The range: -6 ≤ y ≤ 9

The domain: x ≤ 0

Answer:  $24

Step-by-step explanation:

Let x represent the amount of Carrie's allowance.

[tex]\dfrac{1}{4}x+\dfrac{1}{3}x+8=22\\\\\\\dfrac{1}{4}x+\dfrac{1}{3}x=14\\\\\\(12)\dfrac{1}{4}x+(12)\dfrac{1}{3}x=(12)14\\\\\\3x + 4x = (12)14\\\\\\7x=(12)14\\\\\\x=(12)2\\\\\\x=24[/tex]

Answer:

(2, 9)

Step-by-step explanation:

We've been given the exponential function;

f(x) = 25(3/5)^x

We need to determine the value of f(x) when x = 2, that is;

f(2) = 25(3/5)^2

Using a calculator we obtain

f(2) = 9

Thus the next point she plots on the graph will be (2, 9)

[tex]\text{Hey there!}[/tex]

[tex]\text7x}^2\text{- 32x - 60}[/tex]

[tex]\text{The answer is: (7x + 10)(x - 6)}[/tex]

[tex]\text{Because if you follow the step to the answer (first you have to distribute}[/tex] [tex]\text{then combine the like terms after distributing) after all of that you SHOULD}[/tex] [tex]\text{get the equation back!}[/tex]

[tex]\text{Distribute}\downarrow\\\\\text{7x(x)=7x}^2\\ \text{7(-6x)= -42}\\\text{10(x)= 10x}\\\text{10(-6)= -60}[/tex]

[tex]\text{Combine your like terms (terms that has the almost the same thing)}\downarrow[/tex]

[tex]\text{-42x + 10x = -32x}[/tex]

[tex]\text{The other terms stays the same because they DON'T have like terms}[/tex]

[tex]\text{Original problem: 7x}^2\text{- 32x -60}[/tex]

[tex]\boxed{\boxed{\bf{Answer: (7x+10(x -6))}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

-1 1/3

Step-by-step explanation:

To change and improper fraction (larger number in the numerator than the denominator) to a mixed number

divide the numerator by the denominator

4/3 =1  with 1 left over

Take the leftovers and put it over the denominator

1/3

The mixed number is 1 1/3

Since the number was negative, we put the negative out front

-1 1/3

Answer:7x12= 84

Step-by-step explanation:

7x10=70

7x2=14

70+14=84

have a good day

There are 84 inches in 7 feet.

Given that we need to determine that how many feet in 84 inches.

To convert inches to feet, you need to divide the number of inches by the number of inches in a foot.

There are 12 inches in a foot.

Given that you have 84 inches, you can divide this value by 12 to find the equivalent in feet:

84 inches ÷ 12 inches/foot = 7 feet

So, 84 inches is equal to 7 feet.

Hence there are 84 inches in 7 feet.

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Answer:

x = 6 ± 3√10

Step-by-step explanation:

Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a, according to the Quadratic Equation, y = Ax² + Bx + C. Applying the Quadratic Formula will give you the above answer.

NOTE: -b = OPPOSITE of b

I am joyous to assist you anytime.

Final answer:

To solve x² - 12x + 36 = 90 for x, we simplify the equation to x² - 12x - 54 = 0 and use the quadratic formula to find x = 6 + 3√10 and x = 6 - 3√10.

Explanation:

To solve the equation x² - 12x + 36 = 90, we can first simplify it by subtracting 90 from both sides to set it equal to zero:

Now we use the quadratic formula, which states that for any quadratic equation of the form ax² + bx + c = 0, the solutions for x can be found using:

Applying this to our equation with a = 1, b = -12, and c = -54, we get:

Thus, the solutions are x = 6 + 3√10 and x = 6 - 3√10.

Answer:

-x(x^2 +3x +4)

Step-by-step explanation:

-x^3-3x^2-4x

Factor out a -x

-x(x^2 +3x +4)

We cannot factor inside the parentheses, so this is complete

Answer:

y = 6x + 1

Step-by-step explanation:

linear equations (straight line) are expressed in the following general form:

y = mx + b, where m is the gradient and b is the y-ordinate of the point where the line crosses the y-axis (called the y-intercept)

Given : m = 6

we realize that point (0,1) is actually on the y-axis (i.e x=0), therefore this is coincidentally the y-intercept. Hence b = 1

Therefore the whole equation is

y = 6x + 1

The equation for a line is:

y = mx + c

Note:

y  is the y coordinate

m is the slope

x is the x coordinate

c is the y -intercept (where the line crosses the y-axis.

The question tells us that the slope is 6 (so m is 6)

It also tells that the coordinates are: (0 , 1)    (so x is 0    and y is 1)

Lets plug in these values into the equation and solve to get the missing value ( which is c) :

y = mx + c

1 = 6(0) + c

1 = c.

Now to get the equation of the line, we plug in the values for m and c into y= mx + c:

Equation of line: y = 6x + 1

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

Answer:

Equation of line with slop m = 6 and including point (0, 1) is:

y = 6x + 1

Answer:

cam bought 12 books 7 at $0.35 and 5 at $0.50

Step-by-step explanation:

Answer:

Slope= 7/5

Step-by-step explanation:

The slope of a line is determined as a ratio of the change in y to the change in x.

Slope=Δy/Δx

Δy=y₂-y₁

Δx=x₂-x₁

Therefore we can use the the x and y coordinates from the points given, (-3,0) and (2,7) to calculate the slope.

m= (7-0)/(2-⁻3)

Slope= 7/5

When a negative number is subtracted from a number it the operation sign changes to addition.

Answer: Last option

[tex]slope=\frac{7}{5}[/tex]

Step-by-step explanation:

The equation to find the slope m of a line is:

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two points through which the line passes

In this case the points are: (-3, 0) and (2, 7)

Therefore the slope is:

[tex]m=\frac{7-0}{2-(-3)}[/tex]

[tex]m=\frac{7}{2+3}[/tex]

[tex]m=\frac{7}{5}[/tex]

The answer is the last option

Answer:

(x-10)(x-2)

Formula:

a^{2} - b^{2} = (a-b)(a+b)  

Explanation:  

(x-6)^2-4^2

Then we can simplify to, (x-6-4)(x-6+4)

Which comes to your answer,  (x-10)(x-2)

Answer:

Step-by-step explanation:

x² − 12x − 20 = 0

a = 1;  b = (-12);  c = (-20)

b²-4ac = (-12)² - 4 * 1 * (-20) = 144 + 80 = 224

√b²-4ac = √ 224 = √ 2*2*2*2*2*7 = 2*2*√(2*7) = 4√14

delta = -b ± √b²-4ac / 2a

         = -(-12) ± 4√14

                    2 * 1

          = (12 ± 4√14)/2

           = 2 ( 6 ± 2√14) / 2

           =  6 ± 2√14

x =   6 + 2√14;  x =  6 - 2√14

The polynomial (3x - 4x^2 + 8x^3) + (-6x + 2x^4 - 5x^2) simplifies to 2x^4 + 8x^3 - 9x^2 - 3x in standard form by combining like terms and ordering them by descending exponents.

To simplify the polynomial (3x - 4x2 + 8x3) + (-6x + 2x4 - 5x2) and write it in standard form, we combine like terms. Standard form for polynomials is to write the terms in descending order of their exponents. Here are the steps:

The simplified polynomial in standard form is:

2x4 + 8x3 - 9x2 - 3x

Answer:

x = 9/7

Step-by-step explanation:

-5/4x-5 =-35

-5 = -35 * (4x-5)  

-5 = -35*4x - 5*(-35)

-5 = - 140x + 175

- 140x + 175 = -5

-140x = -5 - 175 = -180

x = -180 / -140 =18 / 14 = 9 /7

To solve the given equation, -5/4x = -35, for x, you multiply both sides by the reciprocal of -5/4 which is -4/5. This gives you x = 28 as the solution.

The given equation in your question is -5/4x = -35. In order to solve this equation for x, you would first want to isolate x on one side of the equation. Thus, we'll need to divide both sides of the equation by -5/4.

However, dividing by a fraction is the same as multiplying by its reciprocal. So, in this case, we'll multiply both sides by -4/5, which is the reciprocal of -5/4. This gives us:

x = (-35) * (-4/5)

Doing the multiplication results in x = 28.

Therefore, the solution for x in the equation is 28.

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Answer:

9

Step-by-step explanation:

12 - 3 = 9

Hello :D

Answer:

[tex]\boxed{9}\checkmark[/tex]

The answer has a positive sign.

Step-by-step explanation:

Order of operations

PEMDAS

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Left to right

[tex]|-12|-|3|[/tex]

[tex]12-3=9[/tex]

[tex]\boxed{9}[/tex], which is our answer.

Hope this helps! :D

Time= distance/speed (T = d/s)

Rate or speed are similar since they both represent some distance per unit time such miles per hour and kilometers per hour. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.

distance = rate x time To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.

This is because, speed of the object refers distance travelled divided by time or it expressed as, Furthermore, 1 could also explain the relationship of the time with other two variables using this formula. Speed could be of 2 types, relative or average.

from the formula,

Distance = time * speed

Speed = distance/time

Time= distance/speed (T = d/s)

So basically distance divided both of them when it find speed distance divide time when fine time distance divide speed.

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Answer:

The value of f(-4) = -80

Step-by-step explanation:

It is given that,  f(x) = -5x²

To find the value f(-4)

Let  f(x) = -5x²

To find the value of f(-4), substitute -4 instead of x

f(-4) =  -5 * (-4)²

 = -5 * 16      [ since (-4)² = -4 * -4 = 16 ]

 = -80

Therefore the value of f(-4) = -80

Step-by-step explanation:

There can be two situations

1. When maggie is older

The equation becomes x = y + 3

It can also be expressed as y = x - 3

2. When maggie is younger

The equation becomes y = x + 3

Table of possible values

1. x    y          2. x    y

  5   2              2   5

  6   3              3   6

Answer:

The required equation is [tex]|y-x|=3[/tex]. If maggies is elder, then [tex]y_1=x-3[/tex] and if maggies is younger, then [tex]y_2=x+3[/tex].

Step-by-step explanation:

Let the x represents maggies age and y represents terrance age, make a table of possible values for x and y.

It is given that the difference between maggies age and terrance age is 3.

It means

[tex]|y-x|=3[/tex]

On simplification, we get

[tex]y-x=\pm 3[/tex]

[tex]y=x\pm 3[/tex]

Case 1: If maggies is elder.

[tex]y_1=x-3[/tex]

Case 2: If maggies is younger.

[tex]y_2=x+3[/tex]

The table of values is

x      y₁      y₂

-3    -6      0

0    -3      3

3     0      6

The graph of both functions are shown below.

Answer:

x = -80

Explanation

-40 divided by 1/2 is -80

Answer:

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}2x-3y=-9\\-x+3y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad x=-3\\\\\text{put the value of x to the second equation:}\\\\-(-3)+3y=6\\3+3y=6\qquad\text{subtract 3 from both sides}\\3y=3\qquad\text{divide both sides by 3}\\y=1[/tex]