which of the following statements is the objective of the moving averages and exponential smoothing methods? a. to characterize the variable fluctuations by an exponential equation b. to transform a nonstationary time series into a stationary series c. to smooth out random fluctuations in the time series d. to maximize forecast accuracy measures

Scenario: A small business owner needs to analyze their sales data to make informed decisions about pricing and profitability.

Supporting Detail 1: The concept of linear equations can be applied to determine the break-even point and set optimal pricing strategies for the business.

Worked Example 1: Let's say the small business sells a product for $10 each, and the fixed costs (expenses that don't vary with the number of units sold) amount to $500. The variable costs (expenses that depend on the number of units sold) are $2 per unit. We can use the formula for a linear cost equation (C = mx + b) to find the break-even point where revenue equals total costs:

10x = 2x + 500

Simplifying the equation, we get:

8x = 500

x = 500/8

x = 62.5

The break-even point is 62.5 units. Knowing this information, the business owner can make decisions about pricing, cost control, and production targets.

Supporting Detail 2: The concept of systems of equations can be applied to optimize the allocation of resources in the business.

Worked Example 2: Let's consider a scenario where the business owner sells two different products. Product A generates a profit of $5 per unit, while Product B generates a profit of $8 per unit. The business owner has a limited budget of $500 and wants to determine the optimal allocation of resources between the two products. We can set up a system of equations to represent the profit constraints:

x + y = 500 (total budget)

5x + 8y = P (total profit, represented as P)

By solving this system of equations, the business owner can find the optimal values of x and y that maximize the total profit while staying within the budget constraints.

Conclusion: Applying concepts from this algebra course to real-life scenarios, such as analyzing sales data for a small business, helps in understanding the material by providing practical applications. It demonstrates the relevance of algebra in making informed decisions, optimizing resources, and maximizing profitability.

These examples highlight how algebraic concepts enable problem-solving and provide valuable tools for individuals in various fields, including business and entrepreneurship.

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Among the given options for input statements involving int variables X and y, the valid option is b) cin >> x >> y.

This statement uses the extraction operator (>>) to read input values and assign them to the variables x and y consecutively. The extraction operator allows for multiple inputs in a single line, separated by spaces or other delimiters.

This statement ensures that two integer values can be entered and stored correctly in the variables x and y. The extraction operator (>>) is commonly used with the cin object in C++ for input operations. It facilitates convenient and efficient input handling for multiple variables in a single statement.

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The treatments used in this experiment were variations in price level (regular, reduced price, and at cost to supermarket) and display level (normal display space, normal display space plus end of aisle display, and twice the normal display space), with each combination being used three times.

In this experiment, the treatments are the different combinations of product price level and display level. There are three price levels (regular, reduced price, and at cost to supermarket) and three display levels (normal display space, normal display space plus end of aisle display, and twice the normal display space).

The treatments are the nine possible combinations resulting from these price and display levels. Each combination was tested three times during the experiment to assess its effect on the weekly sales of the particular supermarket product.

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Answer:

5 weeks 150 dollars

Step-by-step explanation:

Answer:

The equation is;

T = 87.4 ± 1.5

Maximum value of T = 88.9 °F

Minimum value of T = 85.9 °F

Step-by-step explanation:

We are given the stated temperature as 87.4 °F

Now, we are told that this stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit.

Thus, if the actual temperature is T, it means that T should either be 1.5 more than 87.4 or 1.5 less than 87.4.

Thus the equation is;

87.4 ± 1.5 = T

So maximum value of T = 87.4 + 1.5 = 88.9 °F

While minimum value of T = 87.4 - 1.5 = 85.9 °F

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

If a function is a stretched or shrinked it can known by using following steps :

The vertical stretch or shrink is followed by a reflection across the x-axis if k is negative. This happens if the graph is vertically shortened (or compressed) by multiplying each of its y-coordinates by k. The "roots" of the graph are located in the same locations along the x-axis.

In a similar vein, how do you determine when to contract or expand? The graph of a function can also be widened and shrunk. To enlarge or reduce the graph in the y direction, multiply or divide the output by a constant. 2f (x) is shrunk by a factor of two (or stretched by a factor of 2) in the y direction, and f (x) is stretched by a factor of two.

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Answer:

sdfggdgfhdnfnm rzmyv,cm

Step-by-step explanation:

The roots of the equation are 9 + 3i and 9 - 3i in simplest a + bi form.

What is meant by roots?

A root is a value that satisfies an equation, for example, the solution of an equation when set equal to zero. The roots of an equation are often called solutions or zeros of the equation.

What is a equation?

An equation is a mathematical statement that shows that two expressions are equal. It usually consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

According to the given information

To find the roots of the equation x² - 18x + 90 = 0 in simplest a + bi form, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = -18, and c = 90.Plugging in these values, we get:

x = (18 ± √((-18)² - 4(1)(90))) / 2(1)

x = (18 ± √(324 - 360)) / 2

x = (18 ± √(-36)) / 2

The discriminant (-36) is negative, which means that the roots are complex conjugates. Therefore, we can simplify the expression as follows:

x = (18 ± 6i) / 2

x = 9 ± 3i

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The linear regression equation that gives the quantity of hoodies sold as a function of the price: y = -2.6147x + 215.34

And the number of hoodies the bookstore can sell if the price is $32. = 131

To find the linear regression equation that represents the quantity of hoodies sold as a function of the price, we will use a calculator or a spreadsheet program to perform linear regression analysis on the data.

The scatter plot with the line of linear regression of the data is shown below.

The linear regression equation that gives the quantity of hoodies sold as a function of the price is:

y = -2.6147x + 215.34

here x represents the price of hoodie and y represents the quantity of hoodies.

Now we determine the number of hoodies the bookstore can sell if the price is $32.

i.e., for x = 32 we need to find the value of y

y = -2.6147(32) + 215.34

y = 131.6696

y ≈ 131

Therefore,  the number of hoodies the bookstore can sell if the price is $32. = 131

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Find the complete question below.

Answer:

A complementary angle are angles that add up to 90 degrees.  For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90

Step-by-step explanation:

Answer:

Complementary angles are angles that add to a total of 90 degrees. An example of complementary angles are 44 and 46 degrees, because they sum to 90! Hope this helps you out!

Answer: I tried it and my answer was not an option, I got -1/3 sorry

Step-by-step explanation:

I got -20/7. I am sorry .

The standard error of this measurement is 6.32

The standard error of measurement is simply the estimate of how repeated measures of an entity on the same instrument tend to be distributed around the entity' “true” score.

In this case, we have the following parameters

Standard deviation = 20

Reliability = 0.90

The standard error of measurement from the standard deviation and the reliability is calculated using the following formula

Standard error of measurement = Standard deviation * √1 - reliability

Substitute the known values in the above equation, so, we have the following representation

Standard error of measurement = 20 * √1 - 0.90

This gives

Standard error of measurement = 20 * √0.10

Evaluate

Standard error of measurement = 6.32

Hence, the standard error in this case is 6.32

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Answer:

Option D is the correct answer

\( \orange {\bold {{x}^{2} + {y}^{2} = {4}^{2}}} \)

Step-by-step explanation:

Since, circle is centered at the origin, and the length of its radius is 4. So, the equation of the circle will be:

\( {(x - 0)}^{2} + {(y - 0)}^{2} = {4}^{2} \\ \\\purple {\bold {{x}^{2} + {y}^{2} = {4}^{2}}} \)

Answer:

0.583

Step-by-step explanation:

Use a caluclator

The parametric equations for the sphere is x =5sin(s)cos(t), y = 5sin(s)sin(t) and z = 5cos(s).

To find parametric equations for a sphere centered at the origin with radius 5, we can use spherical coordinates. Spherical coordinates describe points in three-dimensional space using two angles and a radial distance.

Let's define the two angles as s and t.

The parametric equations for the sphere can be given as follows:

x = 5 * sin(s) * cos(t)

y = 5 * sin(s) * sin(t)

z = 5 * cos(s)

Here, s ranges from 0 to π (inclusive) and represents the angle from the positive z-axis, and t ranges from 0 to 2π (inclusive) and represents the azimuthal angle in the xy-plane.

These parametric equations describe the coordinates (x, y, z) of points on the surface of the sphere centered at the origin with a radius of 5.

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Answer:

18

Step-by-step explanation:

18 ÷ 3 = 6

6 ⋅ 2 = 12

Therefore, 12 is 2/3 of 18.

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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1. The mean increased by 105 degrees

2. The new median temperature of the city after adding 48° to each temperature is 134.5 degrees.

Answer:

the answer is 77

Step-by-step explanation:

x = 180-103

= 77

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

\(Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2\)

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

Answer:

short answer is 2 or d

Step-by-step explanation:

Answer:

each wood is 3/4 and there is 7wood so it's 7*3/4

Step-by-step explanation:

7×3/4

=21/4

The type of analysis described in the statement is ratio analysis.

Ratio analysis is a tool used to evaluate the financial performance of a company by comparing different financial ratios over time or between companies. It involves calculating different ratios such as liquidity ratios, profitability ratios, and solvency ratios and comparing them across different periods to identify trends or patterns in the data. The ratio analysis formula mentioned in the statement is used to calculate the percentage change in a ratio between two periods, with the base period amount serving as the denominator.

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You are pushing a 40.0 kg crate across the floor. what force is needed to start the box moving from rest if the coefficient of static friction is 0.288?

The force needed to start the box moving from rest if the coefficient of static friction is 0.288 is 112.9 N.

Force is defined as an influence that causes an object to undergo a change in motion. Static friction: Static friction is a type of friction that must be overcome to start an object moving. The force needed to start the box moving from rest can be determined using the formula below:

Force of friction = Coefficient of friction × Normal force where: Coefficient of friction = 0.288

Normal force = Weight = mass × gravity (g) = 40.0 kg × 9.8 m/s² = 392 N

Force of friction = 0.288 × 392 N = 112.896 N (approx)

The force of friction is 112.896 N (approx) and since the crate is at rest, the force needed to start the box moving from rest is equal to the force of friction.

Force needed to start the box moving from rest = 112.896 N (approx) ≈ 112.9 N (rounded to one decimal place)

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To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging in the x value into the equation. The resulting y value is your predicted linear regression score.

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The repeating decimal 0.636363 obtained by converting the fraction 7/11 to decimal form has a first two digit total of 90.

Recurring decimal, often known as recurring decimal, is a decimal number made up only of digits that repeat after the decimal at regular intervals.

As an illustration, 46.374374374..., 517.38383..., etc.

The division inform of fraction when converted to decimal gives

0.636363

The sum of the first 20 digits after the decimal point is 90.

this is 6 ten times and 3 ten times

6 * 10 + 3 * 10

60 + 30

90

the sum is 90.

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Answer:

move 50x on to the other side then move 500 to the other side too so that it reads 25x-50x *sign*250-500

Step-by-step explanation:

-25x*sign*-250 divide both sides by 25so answer x*sign*100

Answer:

me likey points ❤️❤️❤️