Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.

Answers

Answer 1
Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55


Related Questions

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 50, 0, negative 6, negative 4, negative 6, 0. Use the table to complete the statements. The x-intercepts shown in the table are and. The y-intercept shown in the table is.

Answers

Answer:

Use the table to complete the statements.

The x-intercepts shown in the table are  

(–2, 0)

and  

(2, 0

.

The y-intercept shown in the table is  

(0, –4)

.

Step-by-step explanation:

please help 25 points​

Answers

Answer:

jijijija

Step-by-step explanation:

Answer:

  s = -52

Step-by-step explanation:

We assume you want to find the value of s.

  [tex]\dfrac{12+s}{-20}=2\\\\12+s=-40\qquad\text{multiply by -20}\\\\\boxed{s=-52}\qquad\text{subtract 12}[/tex]

Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6

Answers

Step-by-step explanation:

-n + (-4) - (-4n) + 6 = -n - 4 + 4n + 6 = 3n + 2

Answer:

3n+2

Step-by-step explanation:

-n+(-4)-(-4n)+6

= -n-4+4n+6

= 3n-4+6

= 3n+2

32-?-10+4=16 what is the missing number?

Answers

X=10

Hope this helped :)

i need help w this pls :)

Answers

Answer:

x8 y6

Step-by-step explanation:

in math what does it mean for something to be “squared”
someone pls explain

Answers

Answer:

its an exponent of 2

Step-by-step explanation:

2

3. = 3 ×2 or 3+3

Given a parabola with the
vertex located at (-2,5) and there
is another point on the parabola
located at (3,7), What is the
equation of the parabola in Vertex
form?

Answers

Answer:

The equation is 2/25(x + 2)^2 + 5.

Step-by-step explanation:

WE can write the vertex form as

y = a(x - b)^2 + c     where a is some constant and (b, c) are the coordinates of the vertex.

So here we have:

y = a(x + 2)^2 + 5

As (3, 7) is a point oin the curve:

7 = a(3 + 2)^2 + 5

7 = 25a + 5

a = 2/25.

Given m=-2/3, b=-7 give the point in slope form, slope intercept form, standard form, ;general form. HELP IS NEED ASAP PLEASE!!!​

Answers

Answer:

Step-by-step explanation:

m=-2/3

b=-7

First, find the slope-intercept form.

y=mx+b

You know what the m and b values are, so simply plug them into the equation.

Slope-Intercept Form

y=-2/3x-7

From there, let's find the point-slope equation.

An easy way to find a coordinate point that the line crosses is to set one of the x or y variables equal to 0.

So let's set the x to 0.

y=-2/3x-7

y=-2/3(0)-7

y=-7

Therefore, when x is 0, y is equal to -7. We can now write our point. (0,-7)

Use the point-slope formula to write the point-slope equation.

y-y1=m(x-x1)

Point-Slope Equation

y-(-7)=-2/3(x-0)

Now, to find the standard form equation, let's find it using our slope-intercept equation. The formula to find standard form is

ax+by=c

y=-2/3x-7

Standard Form Equation

2/3x+y=-7

Which of the following best describes the slope of the line below?
• A. Negative
• B. Undefined
• C. Zero
D. Positive

Answers

Answer:

A. Negative

Step-by-step explanation:

This line cannot have a slope of zero or undefined because it's a linear negative line. This line is not positive because it's not heading to the right, it's heading to the left which is the negative side, the slope Rise/Run goes up 1 and left 1, which means the slope for this equation is possibly -1x.

Answer:

Negative

Step-by-step explanation:

We can see that as x increases, y decreases. Therefore, the change in y over the change in x is negative. The line goes down from left to right.

What is 2 plus 55?

........................

Answers

Answer:

57

Step-by-step explanation:

...........................

If you add 2 to 55 it’s going to equal 57

please help NEED NOW

thank youu

Answers

Answer:

C

Step-by-step explanation:

not a hundred percent but it makes the most sense

find x,y,z : 4x^2+2y^2+2z^2-4xy-4xz+2yz-2y+6z+10=0

Answers

I hope this helps.

Answer:-

   ∴x−3y−4z=0

Explanation:

First we rearrange the equation of the surface into the form f(x,y,z)=0

   x2+2z2=y2

   ∴x2−y2+2z2=0

And so we have our function:

   f(x,y,z)=x2−y2+2z2

In order to find the normal at any particular point in vector space we use the Del, or gradient operator:

   ∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk

remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:

   ∇f=(∂∂x(x2−y2+2z2))ˆi+

                    (∂∂y(x2−y2+2z2))ˆj+

                    (∂∂z(x2−y2+2z2))ˆk

      =2xˆi−2yˆj+4zˆk

So for the particular point (1,3,−2) the normal vector to the surface is given by:

   ∇f(1,3,−2)=2ˆi−6ˆj−8ˆk

So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:

   →r⋅→n=→a⋅→n

Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane

Hence, the tangent plane equation is:

   ⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠

   ∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)

   ∴2x−6y−8z=2−18+16

   ∴2x−6y−8z=0

   ∴x−3y−4z=0

Evaluate. −5 1/4 +2(4.6+3/8) Enter your answer as a decimal or a mixed number in simplest form.

Answers

the answer is 4.7! (p.s cymath is a great website to use for stuff like this:)

Find the center of the circle that you can circumscribe about DABC.
. A(2, 8), B (0,8), and C (2,2)

Answers

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

A circle can be modelled after a expression of the form:

[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:

[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)

[tex]8\cdot B + C = -64[/tex] (3)

[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)

[tex]A = -2, B = -10, C = 16[/tex]

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]

[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]

[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983

For question 1, find the x- and y-intercept of the line.
-10x -5y=40
A. x-intercept is 5; y-intercept is -10
B. x-intercept is 8; y-intercept is -4
C. x-intercept is -10; y-intercept is 5
D. x-intercept is -4; y-intercept is 8

Answers

The correct answer is D. x is (-4,0) and y is (0,-8)










An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is the cost of installing the pitch????

Answers

The Cost of installing the artificial soccer pitch is $5360

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The soccer pitch us rectangle in shape. Hence:

Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters

Cost of installing the pitch = $20 per meter * 268 meters = $5360

The Cost of installing the artificial soccer pitch is $5360

Find out more on perimeter at: https://brainly.com/question/16596982

HURRY IN TEST!!
Which of the following number lines shows the solution to the inequality given below?

2x − 3 < -9 OR 2x − 3 > 3

Answers

Answer: B.

Steps:

solve the inequalities

x <= -3

x>3

match to number line

answer B

Answer:

#LINE B

Step-by-step explanation:

(make sure to look at the color and direction of the arrow)

change 4700g into kg

Answers

Answer:

4.7 kilograms

Step-by-step explanation:

[ 1000 g = 1 kg ]

Change 4700g into kg,

→ 4700 ÷ 1000

→ 4.7 kg

Answer: 4.7 kg (divide by 1000)

There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest

Answers

Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

School yearbooks were printed and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release .which graph could represent the data shown in the table? Table and options below!


PLS HURRY!30 POINTS ANS BRAINLEST!

Answers

Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.

The function is an increasing function. The graph that represents the table will be A.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The table is given below.

Week     Number of sales

  1                    84

 2                   102

 3                   158

 4                   271

The slope at different will be given as,

m₁ = (102 - 84) / (2 - 1)

m₁ = 18

m₂ = (158 - 102) / (3 - 2)

m₂ = 56

m₃ = (271 - 158) / (4 - 1)

m₃ = 113

The capability is a rising capability. The diagram that addresses the table will be A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

What is 38x+40+120x=34x-7(20-19x)

Answers

Answer:

3

8

+

4

0

+

1

2

0

=

3

4

7

(

2

0

1

9

)

{\color{#c92786}{38x}}+40+{\color{#c92786}{120x}}=34x-7(20-19x)

1

5

8

+

4

0

=

3

4

7

(

2

0

9

)

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

[tex]38x+40+120x=34x-7(20-19x)\\\rule{180}{0.5}\\\text{Simplifying the left:}\\\\38x+120x+40\\\\158x + 40\\\\\text{Simplifying the right:}\\\\34x-7(20-19x)\\\\34x - 140 + 133x\\\\34x + 133x - 140\\\\167x - 140\\\rule{180}{0.5}\\158x + 40 = 167x - 140\\\\158x + 40 - 40 = 167x - 140 - 40\\\\158x = 167x - 180\\\\158x - 167x = 167x - 167x - 180\\\\-9x = -180\\\\\frac{-9x}{-180}\\\\\boxed{x = 20}[/tex]

Hope this helps.

I need help lololololololololololololololol

Answers

Answer:

bestie so do i

Step-by-step explanation:

which is an equation of the line that goes through the points (-4,7) and (-4,11)​

Answers

Answer:

it's a answer!!

Step-by-step explanation:

ITS AN ANSWER BECAUSE IT CAN BE! THATS WHY! BLAH BLAH BLAH! I do not say blah blah blah

A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.


please write an inequality
also please solve for p <3

Answers

9 because if it another person it will be 150 in you still got to had tax

what is the solution for x^0.5logx=0.01x^2 ?

Answers

Answer:

x1= 100 x2=99.999

Step-by-step explanation:

[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]

[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]

u=log(x)

[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]

[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]

[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]

Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths
place

Answers

#CARRYONLEARNING

..LOVEUALL...

Answer:

The answer is in the screenshot.

Step-by-step explanation:

pls pls pls pls help

Answers

I think the answer is 2

9. GIVEN: y(x + 1) = 51; y = 3 PROVE: x = 16​

Answers

Answer:

see explanation

Step-by-step explanation:

y(x + 1) = 51 ← substitute y = 3 into the equation

3(x + 1) = 51 ( divide both sides by 3 )

x + 1 = 17 ( subtract 1 from both sides )

x = 16

Answer:Below!Step-by-step explanation:

Given:

y(x + 1) = 51y = 3

What to prove: x = 16

=> y(x + 1) = 51=> 3(x + 1) = 51=> 3x + 3 = 51=> 3x = 51 - 3=> 3x = 48=> x = 16Conclusion:

We have now proved that x = 16.

Hoped this helped.

[tex]BrainiacUSer1357[/tex]

Which of the following is the measure of an acute angle? O A. 112° O B. 90° O C. 78° O D. 182​

Answers

Answer:

C

Step-by-step explanation:

because acute angles have to be less than 90 degrees so therefore it's C.

Answer:

it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c

Step-by-step explanation:

Evaluate the expression when b=-4 and y=2.
2y-b

Answers

The correct answer is 8
2y-b
2(2)-(-4)
4+4
8
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