Why does that formula make sense?

When the number 410 is changed to 310 in the list of student numbers for the 10 schools in the district:

(a) The mean increases by 0.9.

(b) The median decreases by 7.

(a) The mean is calculated by summing up all the values and dividing by the total number of values.

Let's compare the mean before and after the change in the number 410.

Before the change:

Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 410) / 10 = 308

After the change (410 changed to 310):

Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 310) / 10 = 308.9

Comparing the mean before and after the change, we can see that the mean increases by 0.9.

(b) The median is the middle value of a sorted dataset. In this case, the median is the value that separates the lower half from the upper half when the numbers are arranged in ascending order.

Before the change:

Median = 316

After the change (410 changed to 310):

Median = 309

Comparing the median before and after the change, we can see that the median decreases by 7.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ4

The numbers of students in the 10 schools in a district are given below. (Note that these are already ordered from least to greatest.) 170, 194, 303, 309, 316, 330, 368, 371, 379, 410 Suppose that the number 410 from this list changes to 310. Answer the following. (a) What happens to the mean? It decreases by It increases by It stays the same. It decreases by It increases by It stays the same. (b) What happens to the median

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

To learn more about : circulation

https://brainly.com/question/30619471

#SPJ11

Answer:

True!

Step-by-step explanation:

A line segment is a line drawn between two points . Therefore, it has definite length .

Answer:

$777

Step-by-step explanation:

35/10= 3.5

3.5x222= $777

Answer:

herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final

Answer:

Graph A

Step-by-step explanation:

Solving a linear equation we can see that the answer is 40 months.

We know that company A only charges $70 per month, so the cost in dollars after x months is given by the linear equation:

A(x) = 70*x

For company B you need to pay $50 per month plus the $500 phone, so here the cost is:

B(x) =500 + 50*x

We want to find for what value of x we have B(x) = A(x), then we needto solve:

70x = 500 + 50x

70x - 50x = 500

20x = 500

x = 500/20

x = 40

After 40 months the cost will be the same one than in company A.

Learn more about linear equation at:

https://brainly.com/question/1884491

#SPJ1

Using the concepts of mean and median, it is found that the correct option is:

C. The mean will decrease, and the median will stay the same.

The mean of a data-set is the sum of all observations divided by the number of observations. It is affected by all values in the data-set.

The median of a data-set is the value that separates the bottom 50% from the upper 50% of values. It is not affected by outliers.

In this problem, there are 5 elephants, hence the median is the weight of the (5 + 1)/2 = 3rd elephants, hence it stays the same.

For the mean, as the weight of the smallest elephant decreases, the mean also decreases, hence option C is correct.

You can learn more about mean and median at brainly.com/question/26296704

#SPJ1

complete question:

Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3800 Kg and the median mass was 3600 Kg. The smallest elephant, named Lola, weighed 2700 Kg. Lola then got very sick and lost weight until her mass reached 1800 Kg. How will Lola's mass decreasing affect the mean and median?

A. Both the mean and median will decrease

B.The median will decrease, and the mean will stay the same.

C.The mean will decrease, and the median will stay the same.

D.The mean will decrease, and the median will increase.

Answer:

a) m = (24 - 16 / 3 - 2) = 8/1

b) each roller coaster car holds 8 passengers.

The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.

The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.

After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.

Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.

Sketch the market demand, marginal costs, and marginal revenues.

Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.

Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.

The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.

Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.

Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.

The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.

Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .

What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.

The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.

At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.

Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.

The subsidy reduces the marginal cost to (1/2) Q - $10.

Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

Therefore, the deadweight loss falls.

To know more about price elasticityvisit:

brainly.com/question/30161342

#SPJ11

The equation for the total number of coins is given as follows:

x + y = 12.

The equation for the total value of the coins is given as follows:

0.1x + 0.05y = 2.4.

The variables for the system of equations are defined as follows:

They have a total of 12 coins, hence the equation for the total number of coins is given as follows:

x + y = 12.

Considering the value of each coin, 10 cents = 0.1 and 5 cents = 0.05, the  equation for the total value of the coins is given as follows:

0.1x + 0.05y = 2.4.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

The equation for the total number of coins is given as follows:

x + y = 12.

The equation for the total value of the coins is given as follows:

0.1x + 0.05y = 2.4.

The variables for the system of equations are defined as follows:

They have a total of 12 coins, hence the equation for the total number of coins is given as follows:

x + y = 12.

Considering the value of each coin, 10 cents = 0.1 and 5 cents = 0.05, the  equation for the total value of the coins is given as follows:

0.1x + 0.05y = 2.4.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Answer:

y=-2x+25

Step-by-step explanation:

the slope has to be -2, becauze in perpendicular lines, the slopes are opposite.

put it into y-y1=m(x-x1) form, which is y-5=-2(x-10)

then get rid of the parenthesis by distribution, which gives you y-5=-2x+20 (-10x-2 gives a positive 20)

then isolate y and balance the equation.

y-5+5=-2x+20+5, which gives you

y=-2x+25

312.5 μCi is equivalent to 0.3125 mCi.

Conversion factors refer to a relationship between the value in one unit to the value in another unit. It is used to convert a quantity expressed in one unit to another unit.

The following conversion factors are needed to convert 312.5 μCi to millicuries (mCi):1 mCi = 1000 μCiUsing the above conversion factor, we can write the given value of 312.5 μCi as:312.5 μCi = (312.5/1000) mCi= 0.3125 mCi

Therefore, the value of 312.5 μCi can be converted to millicuries (mCi) using the above conversion factor. We can rearrange the formula as shown below.312.5 μCi × 1 mCi / 1000 μCi= (312.5/1000) mCi= 0.3125 mCi

Therefore, 312.5 μCi is equivalent to 0.3125 mCi. The calculation can be summarized in a sentence as follows: To convert 312.5 μCi to millicuries (mCi), we use the conversion factor 1 mCi = 1000 μCi.

The calculation shows that 312.5 μCi is equivalent to 0.3125 mCi. The answer can be expressed as follows: 312.5 μCi = 0.3125 mCi.

Know more about Conversion factors here,

https://brainly.com/question/30567263

#SPJ11

309 is not divisible by 38

The statement is given as:

Is 309 divisible by 38

This means that

309/38

Using a calculator, we have:

309/38 = 8.10526315789

This means that 309 is not divisible by 38

This is because of the fractional parts in 8.10526315789

Read more about division at:

https://brainly.com/question/25289437

#SPJ1

Answer:

(8,3)

Step-by-step explanation:

f(8) = 3

The input is 8 and the output is 3

(8,3)

The type of data collection method would you most likely recommend when the research is a quantitative research.

Quantitative research is concerned with collecting numerical data and generalizing it across groups of individuals or explaining a specific occurrence. Quantitative research is concerned with numbers, reasoning, and an objective viewpoint. Quantitative research is concerned with numerical and static data.

Quantitative research collects data that can be easily examined, tallied, and objectively broken down. These strategies collect enough information to produce measurable results, and supervisors utilize them to educate the decisions they make.

It's an ideal solution for larger scale considerations that could become clunky with the type of open-ended inquiries sometimes associated with subjective surveys.

Learn more about research on:

https://brainly.com/question/7705888

#SPJ1

For each bag, BALLIO  would have needed 2.25 (or 2 1/4) yards of fabric.

"A way to find a multiple unit value from a single unit value as well as the reverse."

In every case, we first count the unit or amount value before figuring out the more or less amount value.

This method is referred to as a unified procedure for this reason.

By dividing the set value by the quantity of sets, one can find numerous set values.

By dividing several set values by the total number of sets, one can determine a set value.

According to our question-

9 bags you are making

must be the same

divide the nine bags by the four yards

2.25 yards per bag

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ1

The given statement "an education can be the key to higher earnings" is true, as a U.S. Census Bureau study shows that earnings increase with the level of education.

The study shows that high school graduates earned $30,400 per year, associate’s degree graduates averaged $38,200 per year, and bachelor’s degree graduates averaged $52,200 per year. This indicates that an individual's earnings will increase with their level of education.

As an individual's level of education increases, their earnings also increase. The U.S. Census Bureau study demonstrates that a high school graduate earns less than an associate's degree graduate, and an associate's degree graduate earns less than a bachelor's degree graduate.

This is because education enables an individual to obtain better job opportunities and more specialized skills in their area of interest, which are valued in the job market. As a result, higher education has a significant impact on an individual's income.

To know more about Census Bureau refer to

https://brainly.com/question/31037766

#SPJ11

Answer:

-148

Step-by-step explanation:

Hello!

We can evaluate by plugging in -3 for x, and -7 for y in the expression \(3x^3 - 2x^2 + 7y\)

The evaluated value is -148.

Answer:

-148

Step-by-step explanation:

Transformation in the parent function can be seen by vertical compression by a factor of 3 and shifted 8 units left.

The modulus graph always has a ‘V’ shape. A graph translation creates congruent graphs by shifting the graph vertically or horizontally.

The shift to the left is caused by the graph of y = f(x + c), where c > 0.

The shift to the right is caused by y = f(x c), where c > 0.

The upward shift is caused by y = f(x) + d, where d > 0.

The downward shift is caused by the equation y = f(x) d, d > 0.

To know more about transformations of modulus function refer to:

brainly.com/question/6908364

#SPJ4

Answer:

(1/2)^6 = 1/64

Step-by-step explanation:

Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

The coordinates for point L could be (2, -3).

The correct answer is D.

To determine the coordinates for point L, we can analyze the given information.

We know that point J is located at (-4, -7) and point M is located at (-2, -3).

Since points J and M define the endpoints of a line segment, we can determine the slope of this line segment using the slope formula:

slope = (change in y-coordinates) / (change in x-coordinates)

slope = (-3 - (-7)) / (-2 - (-4))

= (-3 + 7) / (-2 + 4)

= 4 / 2

= 2

So, the slope of the line segment JM is 2.

We can use this slope to find the coordinates of point L.

Given that point L is located on the line segment JM, we need to determine the x-coordinate of L and find the corresponding y-coordinate using the slope.

Let's consider the options one by one:

a. (-1, -7):

The x-coordinate of L is -1, and the change in x-coordinates between J and L is -4 - (-1) = -3.

However, the change in y-coordinates between J and L is -7 - (-7) = 0.

Therefore, the slope between J and L would be 0 / -3 = 0, which does not match the slope of the line segment JM. So, option a is not valid.

b. (−3, -7):

The x-coordinate of L is -3, and the change in x-coordinates between J and L is -4 - (-3) = -1. The change in y-coordinates between J and L is -7 - (-7) = 0. The slope between J and L would be 0 / -1 = 0, which does not match the slope of the line segment JM. So, option b is not valid.

c. (0, -3):

The x-coordinate of L is 0, and the change in x-coordinates between J and L is -4 - 0 = -4.

The change in y-coordinates between J and L is -7 - (-3) = -4.

The slope between J and L would be -4 / -4 = 1, which does not match the slope of the line segment JM. So, option c is not valid.

d. (2, -3):

The x-coordinate of L is 2, and the change in x-coordinates between J and L is -4 - 2 = -6.

The change in y-coordinates between J and L is -7 - (-3) = -4.

The slope between J and L would be -4 / -6 = 2, which matches the slope of the line segment JM. So, option d is valid.

Therefore, the coordinates for point L could be (2, -3).

The correct option is d. (2, -3).

For such more questions on coordinates

https://brainly.com/question/17206319

#SPJ8

Answer:

The product of the functions f(x) = x2 and g(x) = x - 8 is f(x).

Answer: b. They both supported the annexation of Texas.

Step-by-step explanation:

The most significant aspect of James Polk being elected President of the United States at the same time Anson Jones was elected President of Texas was that both Polk and Jones supported the annexation of Texas. Therefore, the correct answer is:

b. They both supported the annexation of Texas.

This shared support for annexation was significant because it aligned the leadership of the United States and Texas in their goals and aspirations regarding Texas becoming part of the United States. This ultimately paved the way for the annexation of Texas by the United States during Polk's presidency in 1845.

Answer:

Step-by-step explanation:

1/5* 1/4 * 1/3

I think it is the second one

one fifth

one fourth

one third

Answer:

b

Step-by-step explanation:

1/5 1/4 1/3 mark me me brainliest

Answer:

a). Amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new cracker box = 216 in³

Step-by-step explanation:

Volume of the Graham cracker box = volume of the rectangular prism formed

                                                           = Length × Width × Height

                                                           = 6 × 2 × 9

                                                           = 108 in³

a). To double the volume of the rectangular prism, manufacturer either doubles the height or doubles the width.

When manufacturer doubles the height,  

Amount of cardboard required = surface area of the rectangular prism

                                                      = 2(lw + wh + hl)

                                                      = 2(6×2 + 2×18 + 18×6)

                                                      = 2(12 + 36 + 108)

                                                      = 2(66)

                                                      = 132 in²

When manufacturer doubles the width,

Surface area of the rectangular prism = 2(6×4 + 4×9 + 9×6)

                                                               = 2(24 + 36 + 54)

                                                               = 2(114)

                                                               = 228 in²

Therefore, amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new Graham box = 2(Volume of the old box)

                                                           = 2 × 108

                                                           = 216 in³

Answer:

4 lawns

Step-by-step explanation:

$145=$65+N*$20

where N= no. of lawns he needs to now

$80=$20N

N=4

Answer:

THE FIRST ONE

Step-by-step explanation:

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

Learn more about quadrilaterals here:

https://brainly.com/question/29934440

#SPJ1