In the first box, calculate the mean:In the second box, calculate the median:

Answers

Answer 1

Answer

Mean = 3.64

Median = 3

Explanation

The mean is the sum of variables divided by the number of variables.

Mean = (Σx)/N

Σx = sum of all the variables

x = each variable

N = number of variables

The mean is then calculated by summing up all the variables as can be obtained from the dotplot.

Σx = 0 + (1 × 5) + (2 × 4) + (3 × 3) + (4 × 4) + (5 × 2) + (6 × 3) + (8 × 2) + 9

= 0 + 5 + 8 + 9 + 16 + 10 + 18 + 16 + 9

= 91

N = 25

Mean = (Σx)/N = (91/25) = 3.64

2) Median is the variable that falls at the center of the distribution when the variables are arranged in increasing or decreasing order.

In the given dataset, there are 25 variables, so, the median will be the 13th variable, when the variables are arranged in order.

From the distribution, we can see that when the distribution is arranged in ascending order, the 13th variable = 3

Hope this Helps!!!


Related Questions

Nancy has to mark and on this number line. How many spaces does she need between the integers 1 and 2, and between -1 and -2, to show and on the number line?

Answers

Answer:

Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.

what is x+7/10=-1/5??

Answers

Answer:

x=-9/10

Step-by-step explanation:

how long is each side of the box

Answers

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

How to find the measure of the sides of the box?

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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how long is each side of the box

Help me please I need this done quick

Help me please I need this done quick

Answers

Answer:
1058.4 in^2

Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2

Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2

Add them together: 498.4 + 560 = 1058.4 in^2

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When a piece of metal is subject to below zero temperatures, shrinking will normally take place. If the diameter of a steel rod shrinks from 0.02 meters to 0.015 meters, what is the percentage decrease in the diameter?

Answers

;;;lll,,,,kmkjjjjhhhhhhhhhhhhhmmmmmmmmmmmmmmmnnnnnnnnnnnnnnnnnnabcdefghijklmnopqr

1.333...percent

Hope it helps

Evaluate f(x) = -2x - 5 for x = 3.
A. 11
B. -6
C. -11
D. 1

Answers

Answer:

C. -11

Step-by-step explanation:

f(x) = -2x - 5

Plug the 3 in for x

f(3) = -2(3) - 5

Multiply the -2 and 3

f(3) = -6 - 5

Subtract 5 from -6

f(3) = -11

Answer: C -11

Step-by-step explanation:

Its asking you to solve for f(x) which is Y

Y=-2x-5

X is 3

so replace -2x with 3 but only the x

you should get -23 not negative 23 its more of 2 times 3

then multiply -2 by 3 and get -6

add -6 and -5 to get -11

Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)

Answers

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Devon earns a base salary of $600.00 per month, plus a 4% commission on his sales. Last month he brought in $15,000.00 in sales. Write an expression to represent his total compensation and calculate how much his total compensation was.

.4(600+s); $6,240
600+.04s; $1200
.04(600+s); $624
600+.4s; $6,600

Answers

Answer:

Total compensation = 600 + 0.04 * s  and a total last month of $1200

(which agrees with the second answer shown in the provided list)

Step-by-step explanation:

Total compensation comes from the addition of base salary ($600) plus 4% (0.04) of the sales (s). That means:

Total compensation = 600 + 0.04 * s

and since last month he brought $15000 in sales, he got from sales:

0.04 * 15000 = $600

which added to the base salary gives:

$600 + $600 = $1200

Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done​

Answers

Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Turn this into a formula and step by step on how to solve it.

Turn this into a formula and step by step on how to solve it.

Answers

72 is the correct answer i think!

Carly, an office manager, needs to find a courier to deliver a package. The first courier she is
considering charges a fee of $13 plus $3 per kilogram. The second charges $5 plus $4 per
kilogram. Carly determines that, given her package's weight, the two courier services are
equivalent in terms of cost. What is the weight? How much will it cost?
At a package weight of
kilograms, the two couriers both cost $

Answers

Answer:

At a package weight of 8 kilograms, the two couriers both cost $37

Step-by-step explanation:

Let's say the package weighs w kg.

First courier: 13 + 3 per kg = 13 + 3 for each w = 13 + 3w

Second courier: 5 + 4w

They are equal in cost, so

13 + 3w = 5 + 4w

subtract 3w from both sides to put all the variables on one isde

13 = 5 + w

subtract 8 from both sides to solve for w

w = 8

plug w=8 into one side of the original equation to solve for cost

13 + 3w = 5 + 4w = 37

Which phrase matches the algebraic expression below?
2(x + 7) + 10
A)Two times the sum of x and seven plus ten
B)Two times the difference of x and seven plus ten
C)Two times x minus seven plus ten
D)Two times x plus the sum of seven and ten

Answers

Answer:

the answer is a.

Step-by-step explanation:

two times the sum of x and seven plus ten

2(x+7)+10

evaluate 1/5×5/6×3/7×21×16​

Answers

Answer:

24

Step-by-step explanation:

⅕×⅚×3/7×21×16

⅙×9×16 (Cancelling 5 by 5 and 21 by 3)

⅙×144

24

Answer:

24

Step-by-step explanation:

place the following words in a binary search tree. add the words to the tree in the order given. lust gluttony greed sloth wrath envy pride

Answers

The binary search tree for the given words (lust gluttony greed sloth wrath envy pride) can be seen as attached.

Running the Python code referenced the attached binary search tree will produce results as follows:

value: envy, count: 1

value: gluttony, count: 1

value: greed, count: 1

value: lust, count: 1

value: pride, count: 1

value: sloth, count: 1

value: wrath, count: 1

search lust, result: (1, 1)

search gluttony, result: (2, 1)

search greed, result: (3, 1)

search sloth, result: (2, 1)

search wrath, result: (3, 1)

search envy, result: (3, 1)

search pride, result: (3, 1)

What is the binary search tree?

The binary search tree is an advanced algorithm used for analyzing the node, its left and right branches, which are modeled in a tree structure and returning the value. The binary search tree is devised on the architecture of a basic binary search algorithm; so, it enables faster lookups, insertions, and removals of nodes.

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place the following words in a binary search tree. add the words to the tree in the order given. lust

Let /_D be an acute angle. Use a calculator to approximate the measure of /_D to the nearest tenth of a degree. sin D = 0.75

Answers

The measure of angle D is 48.59 degrees where angle D is acute.

For finding the measure of angle when a trigonometric ratio is given, we use inverse trigonometric functions.

For sine there lies arcsin, for cos, there lies arccos and so on.

Thus, sinD=0.75

∠D = sin⁻¹(0.75)

∠D = 48.59

But since ∠D is acute, thus we have ∠D = 48.59

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So, use ___ as a factor _____ times to find the value of (−3)^4

Answers

Answer:

Use -3 as a factor 4 times to find the value of (-3)^4. The answer is 81

Step-by-step explanation:

To solve (−3)^4, use -3 as a factor four times. This can be done by multiplying -3 by itself four times: (-3)(-3)(-3)(-3) = 81. Alternatively, you can use the square root property to find the value of (−3)^4. The square root property states that if a number is multiplied by itself two times, then the square root of that number is equal to one of the numbers used in the multiplication. In this case, the square root of 81 is -3, which is equal to one of the numbers used in the multiplication. Therefore, (−3)^4 = 81.

Convert the hexadecimal expansion of each of these integers to a binary expansion.a) (80E)_{16} b) (135AB)_{16} c) (ABBA)_{16} d) (DEFACED)_{16}

Answers

The binary representation of each of these hexadecimal numbers is given as follows:

a) 80E = 100000001110

b) 135AB = 00010011010110101011

c) ABBA = 1010101110111010

d) DEFACED = 1101111011111010110011101101

How to convert from hexadecimal to binary?

To convert a number from hexadecimal to binary, each hexadecimal character is converted to it's respective four bit binary code, given as follows:

0 = 00001 = 00012 = 00103 = 00114 = 00105 = 01016 = 01107 = 01118 = 10009 = 1001A = 1010B = 1011C = 1010D = 1101E = 1110F = F111

Then, for example:

80E hexadecimal = 100000001110.

As:

8 = 10000 = 0000E = 1110

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5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.

Answers

Answer:

the minimum number of bits needed for quantization is 7

Step-by-step explanation:

Given the data in the question;

if quantization is Δv, then the maximum quantization Error is Δv/2

now if we split up the whole range  from -\(m_{p}\) to \(m_{p}\) evenly into L levels, so

Δv = \(2m_{p}\) / L

Δv / 2 = \(m_{p}\) / L

given that the error must be at most 1% of \(m_{p}\),

1%\(m_{p}\) = \(m_{p}\) / L

1/100 × \(m_{p}\) = \(m_{p}\) / L

100 = L

now L must be a factor of 2 to be binary encoded,

so lets consider;

L = 128

2ⁿ = 128¹

2ⁿ = 2⁷

n = 7

Therefore, the minimum number of bits needed for quantization is 7

What is the surface area of the sphere shown below with a radius of 7?
1
7
A. 49, sq. units
B. 65 sq. units
C. 196 sq. units
D. 457 sq. units
SUBMIT

What is the surface area of the sphere shown below with a radius of 7?17A. 49, sq. unitsB. 65 sq. unitsC.

Answers

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

which statement about these triangles is true?

which statement about these triangles is true?

Answers

Answer:

I think it's D

Step-by-step explanation:

Answer:

i think it's a or d

but d is more have percent

expand 2x(3x+2y) thank you

Answers

Answer:

6x^2+4xy

Step-by-step explanation:

You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)

6x^2+4xy

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A gain of seven yards in football is represented by 7. What number represents a loss of
seven yards?
A 0
B. 7
C. -(-7)
D. -7

Answers

Answer:

D. -7

Step-by-step explanation:

Since positive 7 represents a gain of seven yards, a loss would be represented by a negative number.

So, a loss of seven yards will be represented by -7.

So, the correct answer is D. -7

What is the degree of the polynomial, y^2+7x^14-10x^2?

Answers

The degree of the polynomial is 14

How to determine the degree of the polynomial?

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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5 6/30+1 3/4=
Need step by step answers

Answers

Answer:

Step by step answers are key,... and they're below,... ;->

Step-by-step explanation:

This is your equation:

\(5 \frac{6}{30} + 1\frac{3}{4}\)

Make both fractions improper fractions (this makes them easier to work with) All you did to convert your two mixed number into improper fractions is:

Multiply the denominator (the bottom number in a fraction in this case 30) by the number not in the fraction (5), 30x5=150 and then add the product (150) to the numerator (the top number in a fraction (which in this case is 6))

\(5\frac{6}{30} = \frac{156}{30}\)

Do the same to the other mixed number (turning it into a improper fraction), Multiply the 4x1=4, add the product to the numerator 4+3=7 and then you have your second improper fraction

\(1\frac{3}{4} = \frac{7}{4}\)

Your new equation:

\(\frac{156}{30} +\frac{7}{4}\)

Now you need to get both denominators the same so you can add the together,... the easiest way to do this is to multiply the two denominators together,... 30x4=120

\(\frac{x}{120} + \frac{x}{120}\)

But how do we know what the numerator are to be? What you have to do is the following,... you had to multiply 30 by 4 to get to 120, so you have to multiply the 156 by 4 to make an equivilant fraction,... 156x4=624

\(5\frac{6}{30} = \frac{156}{30} = \frac{624}{120}\)

Like wise you had to multiply 4 by 30 to get to 120 so you have to multiply the numerator by 30 to make the fraction hold the same value,... 7x30=210

\(1\frac{3}{4} = \frac{7}{4} =\frac{210}{120}\)

Now all that is left is to add:

\(\frac{624}{120} +\frac{210}{120} =\frac{834}{120}\)

The answer is 835/120 simplify is or 6 19/20 or 6.95

Hope that was explination enough,... and have a SUPER-EXTRA-ORDINARILY-AMAZINGLY-AWESOME day,...

Chow,...!

AB is a radius of the circle. The circumference of the circle is 119.56. Find the
length of AB, rounding to the nearest tenth.
B
A

Answers

Answer:

19.0285

Step-by-step explanation:

For this, we have to work backwards.

First, the equation for the circumference of a circle is:
\(2\pi r\)

We already know the circumference, so we can solve for r:
\(119.56=2\pi r\)

divide both sides by 2

\(59.78=\pi r\)

divide both sides by pi

\(19.0285...=r\)

So, depending on the answer choices, the answer is 19.0285 rounded to the according decimal place.

Hope this helps! :)

To find the length of AB, we can use the formula for the circumference of a circle:

Circumference = 2 * π * radius

In this case, the given circumference is 119.56, and we are given that AB is a radius. Let's solve for AB:

119.56 = 2 * π * AB

Dividing both sides by 2π, we get:

AB = 119.56 / (2π)

Using the value of π as approximately 3.14, we can calculate the length of AB:

AB ≈ 119.56 / (2 * 3.14)
AB ≈ 19.05

Rounding to the nearest tenth, the length of AB is approximately 19.1. Therefore, the answer is 19.1.

Pls help I will give brainliest
only help if u have the answer for sure

Pls help I will give brainliestonly help if u have the answer for sure

Answers

Answer:

70km

Step-by-step explanation:

\(1cm = 20km \\ 3.5cm = 3.5 \times 20km \\ = 70km\)

Margaret said the exact product of 602 and 341 is 205,282 is she correct use paper and the standard algorithm to support your reasoning​

Answers

Answer:

yes she is correct

Step-by-step explanation:

first do 602 times 341 then you compair to see if the answers are correct. Hopped this helped <3

Answer:

yes she is correct

Step-by-step explanation:

602 times 341

Emily's score for a Mathematics test was 5% higher than her score for an English test. If Emily scored 84 points for the Mathematics test, how many points did she score for the English test?

Answers

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

One bag of grapefruit weighs 5 3/4 pounds. How many pounds of grapefruit are in 2 1/3 bags?
A) 8 1/12
B) 11 1/2
C) 11 2/3
D) 13 5/12

Answers

Answer:D is the answer :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A painter leans a 15-ft ladder against a house. The base ofthe ladder is 5 ft from the house. To the nearest tenth of a foot,how high on the house does the ladder reach?a-32 feetb-31 feetc-28 feetd-29 feet

Answers

If a painter leans a 15-ft ladder against a house and the base of the ladder is 5 ft from the house, then the ladder reaches an altitdue of 14 ft from the ground along the wall.

As per the question statement, a painter leans a 15-ft ladder against a house and the base of the ladder is 5 ft from the house,

And we are required to calculate the height that the ladder reaches, from the ground along the wall.

Since the wall is naturally perpendicular to the ground, the ladder, the length of the of ladder from the wall along the ground, and the height that the ladder reaches from the ground along the wall, make up a right-angled triangle, where, the ladder is the hypotenuse of 15ft, the length of the of ladder from the wall along the ground (5ft) is the base, and the height that the ladder reaches, from the ground along the wall is the perpendicular.

Now, let us assume that the perpendicular is "x" ft, then as per the Pythagorus Theorem, we get,

[(hypotenuse)² = {(base)² + (perpendicular)²}]

Or, [(15)² = {(x)² + (5)²}]

Or, (225 = x² + 25)

Or, [x² = (225 - 25)]

Or, (x² = 200)

Or, (x = √200)

Or, (x = 10√2 ft)

Or, (x ≈ 14ft)

That is, the ladder reaches a height of 14 ft from the ground along the wall.

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Answers: The margin of error is 0.0638% We are 99% confident that the difference between the percentage of Democrats and Republicans who prioritize protecting the environment lies between Which of the following promotion channel is the best to use to target a specific group of individuals?radionewspaperbannerbillboardsQuestion 18A Target Market is:Individuals who are used in focus groups to determine customer needs and wants.Groups of people for whom a company develops a product or service.Individuals who are not currently buying a company's product or service.Individuals randomly chosen to receive free products or servicesQuestion 19"The design, implementation and management of programs that seek to influence or increase acceptable social ideas or practice among a target group" is classified as:product marketingsocial marketingelementary marketingsecondary marketingQuestion 20The activities listed below are activities that are most likely considered in which step of the decision making process?Activities:Who will be responsible for gathering information?How will information be gathered?When and how long will we gather information for?Selecting among alternativesIdentifying alternativesCollecting relevant dataAnalyzing and weighing alternativesQuestion 21A manager is most likely to have long term success in motivating an employee by focusing on:performance based bonuses and incentivesreminders that job continuance requires successful performancea better understanding of the employee's goals and interestsdeveloping competition between employeesQuestion 22Communication is most effective when it:is a two-way processis verbalis a one-way processinvolves imagesQuestion 23The most difficult step in the decision making process is:the developing options stepthe gathering and analyzing data stepthe defining of problem(s) stepthe option implementation stepQuestion 25When a new President is hired in an organization, employees can expect to see the most change in:the organization structurework schedulesthe organization culturebenefits What is the process of drawing conclusions from evidence? what are the characteristics of the electromagnetic waves? check all that apply frequency of the waves frequency of the waves wavelength wavelength the speed of light the speed of light the medium of travel community relations professionals frequently are responsible for creating, organizing, and executing _____ initiatives How does the structure of the text develop the author's ideas? The author mentions the Great Spirit several times to emphasize that the Great Spirit was an important influence in his ancestors' lives. The author uses foreshadowing to hint that his ancestors would eventually lose faith in the Great Spirit. The author uses reverse chronological order to explain how his great-grandfather became chief at such a young age. The author compares his great-grandfather's leadership with the white man's leadership to show how the men influenced each other. i would really appreciate if u help me solve it please walsh Company produces mathematical and financial calculators and operates at capacity. Data related to the two products follows. LOADING...(Click the icon to view the data.) Total manufacturing overhead costs are: LOADING...(Click the icon to view the overhead costs.) . . . . . Requirements 1. Choose a cost driver for each overhead cost pool and calculate the manufacturing overhead cost per unit for each product. 2. Compute the manufacturing cost per unit for each product. 3. How might 's managers use the new cost information from its activity-based costing system to better manage its business? Requirement 1. Choose a cost driver for each overhead cost pool and calculate the manufacturing overhead cost per unit for each product. Begin by choosing a cost driver for each overhead cost pool. Activity Cost driver Rate Machining Set up Inspection Please Help!!!!!For this assignment, you will research and analyze a US Supreme Court case. You will choose a case to research, evaluate the courts decision, and explain whether you agree with the justifications and evidence regarding the constitutionality of the decision. Find the height of a cuboid if it's length is 15cm, it's breath is 12cm and it's total surface are is 900cm Thomas jefferson disagreed with alexander hamiltons economic plan primarily because he feared that it would. The cost for each soda is $2.25. If your friend Calvin buys a certain number of Coca-Colas (c) and Mountain Dews (m), which answer choice shows an expression that represents the total cost of the Coca-Colas and Mountain Dews that Calvin bought? a publisher for a promising new novel figures fixed costs overhead, advances, promotion, copy editing, type setting and so on at $57,000 and variable costs printing, paper, binding, shipping at $2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even? make an equation and solve for x, 25 points.