The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data.

Answers

Answer 1

Answer:

x = 9

Number of observations = 6

Sum of observations = 54

Step-by-step explanation:

Number of observations, n = 6

Mean = ΣX / n

(6 + 8 + x + 2 + 10 + 2x - 1 + 2) / 6 = 9

(27 + 3x) / 6 = 9

27 + 3x = 6 * 9

27 + 3x = 54

3x = 54 - 27

3x = 27

x = 27 / 3

x = 9


Related Questions

Find the missing side of the triangle

Answers

Answer:

25 in

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

Leg a = 24

Leg b = 7 in

Leg c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]:                                          24² + 7² = x²Evaluate exponents:                                                                                      576 + 49 = x²Add:                                                                                                                 625 = x²[Equality Property] Square root both sides:                                                 25 = xRewrite/Rearrange:                                                                                        x = 25

Si colocan en 16 pisos, 16 ladrillos. ¿Cuántos ladrillos pusieron en total?. (expresarlo en forma de potencia)

Answers

Answer:

Númer total de ladrillos= 256

Step-by-step explanation:

Dada la siguiente información:

Total de pisos= 16

Total de ladrillos por piso= 16

Para calcular cantidad de ladrillos en total, tenemos que usar la siguiente formula:

Número total de ladrillos= total de ladrillos^2

Número total de ladrillos= 16^2

Númer total de ladrillos= 256

En este caso lo hace al cuadrado por que la cantidad de pisos y ladrillos por piso es la misma. Sino, es mejor expresarlo como una multiplicación.

y is directly proportional to x.
when y=30, x=6
work out an equation connecting y and x

Answers

Answer:

y = 5x

Step-by-step explanation:

Use the direct variation equation y = kx

Plug in 30 as y and 6 as x, then solve for k

y = kx

30 = k(6)

5 = k

Plug in 5 as k into y = kx

y = 5x

So, the equation relating x and y is y = 5x

Answer:

y=5x

Step-by-step explanation:

30 divide by 6 = 5 so y = 5x

Help..do not get me wrong..i have to pass this..

Answers

Answer:

Step-by-step explanation:

9/10 is equal to 18/20

3/4 is equal to 15/20

3/5 is equal to 12/20

9/20 is equal to 9/20

The next answer is 6/20 which is equivalent to 3/10

Bath and $38,000 in student loans the interest rate on her salons is 8.25% per year she will be painless loans off for 20 years how much will Best pay altogether

Answers

Answer:

$100,700

Step-by-step explanation:

Given data

Principal= $38,000

rate= 8.25%

Time= 20 years

Applying the simple interest

A=P(1+rt)

substitute

A=38000(1+0.0825*20)

A=38000(1+1.65)

A=38000*(2.65)

A=$100,700

Hence in 20 years she will pay $100,700

What is the slope of the graph?

Answers

Answer:

[tex]\displaystyle m=24[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 0)

Point (0.5, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{12-0}{0.5-0}[/tex][Fraction] Subtract:                                                                                         [tex]\displaystyle m=\frac{12}{0.5}[/tex][Fraction] Divide:                                                                                              [tex]\displaystyle m=24[/tex]
Since m in y=mx+b is rise over run, then y = 24x, or the slope is 24

Which point is located in Quadrant IV?

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

C. Quadrant IV = (8,-6)

Step-by-step explanation:

Q I = + +

Q II = - +

Q III = - -

Q IV = + -

(-8, 6) = II

(-8, -6) = III

(8, -6) = IV

(8, 6) = I

Quadrant IV = (8,-6)

what is x + 7 equals 10 + 2 ​

Answers

Answer:

x=5

Step-by-step explanation:

x+7=10+2

x+7-7=12-7

x=5

Pls Answer Fast I will give u 5 Stars

Answers

Answer:

X is 90 degrees

Step-by-step explanation:

I dont know the second part

y= - 1 / 4 x + 8
its for math 8 thanks yall :)

Answers

Answer:

[tex]x =-4y+32[/tex]

Step-by-step explanation:

Calculations:

[tex]y=-\frac{1}{4} x+8[/tex]

[tex]y-8=-\frac{1}{4}x[/tex]

[tex]x =-4y+32[/tex]

PLZ HELP I GIVE 15 POINTS

Answers

Answer:

4 1/12. (Four, one by twelve).

Step-by-step explanation:

7/12 × 7 =?

7/12×7 = 49/12.

The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as 4 1/12. (Four, one by twelve).

What is the area of this quadrilateral?
8 ft
6 ft
3.ft
A. 33 square feet
B. 42 square feet
C. 17 square feet
D. 66 square feet

Answers

Answer:

a. 33 sqft

Step-by-step explanation:

The figure is made of two non-overlapping triangles, so the total area is the sum of the areas of the two triangles

Area of a triangle is 1/2(bh) where b = base length and h = height (b and h must be perpendicular to each other)

The top triangle has b = 6 and h=8, so A=1/2(6)(8) = 1/2(48) = 24

The bottom triangle has b=6 and h=3, so A=1/2(6)(3)=1/2(18) = 9

Total area is sum of these two or 24 + 9 = 33

Solve for m
-3/7m=12

m=-28
m=-26
m=26
m=28

Answers

Answer:
m=28. So the last one.

Explanation:
-3/7m=12
-3/7m *7= 12*7
-3m=84
-3m/-3=84/-3
m=28

Write the equation of the line in slope-intercept form.




The equation of the line in slope-intercept form is

Answers

Answer:

y = -4/3 x + 2

Step-by-step explanation:

Let us assume the equation given is 3y + 4x = 6

The standard form in slope-intercept form is y = mx+c

m is the slope

c is the intercept

Make y the subject of the formula

3y + 4x = 6

3y = -4x + 6

Divide through by 3

3y/3 = -4/3 x + 6/3

y = -4/3 x + 2

Hence the equation of the line in slope-intercept form is y = -4/3 x + 2

simplify the expression for the area

Answers

Answer:

10x+276

Step-by-step explanation:

Use the equation (12)(5/6x+23)=area

Use the distributive property as seen in the image below.

This will get (12(5/6x)) + (12(23))

Solve

60/6x+276

Now simplify

10x+276

Round your answer to the nearest hundredth

Answers

Answer:

15.01

Step-by-step explanation:

Tangent=Opposite/adjacent

Tan(65)=?/7

Tangent of 65 x 7=

15.01

x-4y=-4
5x – 4y= 12

Answers

Answer: {x,y} = {4,2}

  [1]    x - 4y = -4

  [2]    5x - 4y = 12// Solve equation [1] for the variable  x

 [1]    x = 4y - 4

// Plug this in for variable  x  in equation [2]

  [2]    5•(4y-4) - 4y = 12

  [2]    16y = 32

// Solve equation [2] for the variable  y

  [2]    16y = 32

  [2]    y = 2

// By now we know this much :

   x = 4y-4

   y = 2

// Use the  y  value to solve for  x

   x = 4(2)-4 = 4

Step-by-step explanation:

Answer: x=4 y=2

Step-by-step explanation:

What is the greatest common factor of 16 and 24?

Answers

Answer:

8

Step-by-step explanation:

Answer:

The GCF is 8 I believe sorry if I'm wrong

Step-by-step explanation:

and if I'm wrong please correct me

Simplify the expression:
10 – 2 (8x – 5)
|

Answers

Answer:

[tex] - 16x + 20[/tex]

Step-by-step explanation:

1. Expand by distributing terms.

[tex]10 - (16x - 10)[/tex]

2. Remove parentheses.

[tex]10 - 16x + 10[/tex]

3. collect like terms.

[tex] - 16x + (10 + 10)[/tex]

4. Simplify.

[tex] - 16x + 20[/tex]

Therefore, the answer is, -16x + 20.

Which inequality is NOT true if y = -5?
A. 2y - 10 > 13
B. -14 + 6y < 8
C. 3y + 9 > -15
D. -24 - 4y < -3

Answers

Answer:

A

Step-by-step explanation:

2(-5) - 10 > 13

-10 - 10 > 13

-20 is not greater than 13.

Answer:

A

Step-by-step explanation:

Pls help me this is do in 10 minutes

Answers

Each ticket costs $7 and on Friday every ticket is discounted by $2 so the cost of every ticket would be $5 on Friday and 5x9=45 so the cost for 9 tickets on Friday is worth $45

Which of these choices is an integer

1/2
-6
1.6
- 3/4

Please helps folks !!!

Answers

-6 is the integer. an integer is whole numbers negative and positive

Hello, I need help. thank you

Answers

Answer:

B

Step-by-step explanation:

all you need to do is add 5 to the y for example ( -5, 5) add 5 to the (x,5) to make ( -5,10). As you can see only the y value is shifting, not the x value, that's why you need to add 5 to all the y values.

So the answer here is B.

Answer:

B

Step-by-step explanation:

The answer is B because 5 units up from 5 is 10. A and B both have a y coordinate of 5 and the answer letter B is the only one that mention 10 as a y coordinate twice

9+3x+7=4x do this pls

Answers

Answer:

x=16

Step-by-step explanation:

9+3x+7=4x

9+7=x

x = 16

Answer:

x=16 is the answer to this question

Which expression is equivalent to 4 + 3 (5 + ×)

Answers

Step-by-step explanation:

[tex]4 + 3(5 + x)\\4 + (3 * 5 ) + (3 * x)\\4 + 15 + 3x[/tex]

Answer:

3x+19

Step-by-step explanation:

Let's simplify step-by-step.

4+3(5+x)

Distribute:

=4+(3)(5)+(3)(x)

=4+15+3x

Combine Like Terms:

=4+15+3x

=(3x)+(4+15)

=3x+19

Michael is planning on renting an apartment and would like to figure out what he can spend on
rent. His gross pay is $4,549.15 per month. He would like to spend 25% of his monthly income
on rent, how much can he afford to spend?

Answers

Answer:

$ 1137.28

Step-by-step explanation:

what does 3(y + 4) = 3y + 12 equal?

Answers

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

Multiply the binomials:
(i) (2x + 5) and (4x-3)​

Answers

Answer:

8x²+14x-15

Step-by-step explanation:

that the right answer

Answer:

8x² + 14x - 15

Step-by-step explanation:

(2x + 5)(4x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(4x - 3) + 5(4x - 3) ← distribute both parenthesis

= 8x² - 6x + 20x - 15 ← collect like terms

= 8x² + 14x - 15

What is the slope and y-intercept of -3x - 12 = -3y?​

Answers

Answer:

y=x+4

Step-by-step explanation:

Just divide everything my -3

Bryce reads 18 pages in 1/3 of an hour. What is his rate in pages per hour?

Answers

Answer:

54 is the answer

Step-by-step explanation:

18 times 3

Answer: 54 pages per hour.

Step-by-step explanation:

If Bryce can read 18 pages in 1/3 of an hour, then we need to multiply 18 by 3 to find how many pages Bryce can read in 1 hour.

18 x 3 = 54.

In conclusion, Bryce can read 54 pages per hour.

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