a manager recorded the number of gallons of ice cream sold for the past six periods. he asked you to choose a forecasting model to predict the demand for gallons of ice cream in period 7. you consider applying a two-period moving average model and a two-period weighted moving average model with weights of 0.6 and 0.4. a) which model is better for this data set (hint: show all your work including forecasts for each period and calculations using measures of forecast accuracy)? (9 points)

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

See below

Step-by-step explanation:

The students should prepare a Trapezoid parallelogram. A Trapezoid is a parallelogram who has a both side that is parallel to each other but cannot be in the same size but if they are not parallel to each other, both side length should be the same. So they have to create a trapezoid whose one side is 10 cm and an angle of 50 degrees

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Answer:

Infinitely many

Step-by-step explanation:

We have the parabola with equation y = 4x².

We have to determine the shape and direction of it.

If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.

As the value of a is positive, the parabola will open upward.

The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.

This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.

Answer:

Because a is positive the parabola opens upward.

Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.

The molar volume of ethane at 300 K and 200 atm, calculated using the Van der Waals equation of state, is approximately 0.109 L/mol.

To calculate the molar volume, we need to solve the cubic equation obtained from the expanded Van der Waals equation of state:

V^3 - (b + pRT)V^2 + (pa)V - pab = 0

Given the values of a = 5.5088 L^2 atm mol^(-2) and b = 0.065144 L mol^(-1) for ethane gas, and the temperature T = 300 K and pressure p = 200 atm, we can substitute these values into the cubic equation.

Substituting the values into the equation, we have:

V^3 - (0.065144 + (200)(0.0821)(300))V^2 + (5.5088)(200)V - (200)(0.065144)(5.5088) = 0

Solving this cubic equation, we find that one of the roots corresponds to the molar volume of ethane at the given conditions, which is approximately 0.109 L/mol.

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Answer:

For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.

For the "Standard" column, it will be

7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get

y = -7/2x + 3.)

For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵

This is the point-slope formula.⤵⤵⤵

\(y - y _{1} = m(x - x _{1})\)

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.

So we have: y - (-4) = -7/2(x-2).

In other words, "Point Slope" would be

y + 4 = -7/2(x-2).

By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)

hello mai brou tenkuiusnriejqbe

Answer:

(50,-30)

Step-by-step explanation:

Reflecting a point across the y axis is just like flipping a page on a book. The x  coordinate is flipped and the y coordinate stays the same.

9514 1404 393

Answer:

  y = -1

Step-by-step explanation:

The slope formula tells you the slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-1))/(5 -3) = 0/2 = 0

We can find the y-intercept using the first point:

  b = y -mx

  b = -1 -0·3 = -1

Then the slope-intercept form is ...

  y = mx + b

  y = 0·x -1

  y = -1 . . . . . simplified

_____

Of course, you can bypass all of that when you realize the two y-values are the same, so the line is a horizontal line with y equal to that value.

The value of x and y is solved in the equation  7x + y = 17 and -9x - y = -21 to get

The problem is a simultaneous equation of two unknowns with two equations.

The equations are formed as follows

7x + y = 17

-9x - y = -21

adding the equations will result to

-2x + 0 = -4

x = 2

substitute x = 2 into 7x + y = 17

7x + y = 17

7 * 2 + y = 17

14 + y = 17

isolating y

y = 17 - 14

y = 3

therefore x = 2 and y = 3

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Answer:

44

Step-by-step explanation:

x-6=38

or, x= 38+6

hence, x=44

Answer:

44

Step-by-step explanation:

38 + 6 = 44

x = 44

6 less than 44 (x) is 38

In the given particular sum we have to give reason why asolving 4 = 2x uses the division property of equality.

The reason for that why it is using division property of equality we wneed to know what is division property of equality : It states that when both side of the equation is divided by a real number other than 0 then the quotients remain same . It can be written as following : if a,b,c are real numbers where a = b , c ≠ 0 then ac = bc

for example suppose we have two breads of same size . We cut each of them into halfs and give it to  our friends , if we measure the remaining portions we will see that we are left with same portions of bread . Here at initial both the breads were same and we divide it by 2 and find that they are still same.

Solving 4 = 2x using the division property because in order to get the last portion that answer we have divide the both sides by 2 to get x by itself .

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Answer:

c. $13. 43

Step-by-step explanation:

Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).

The model can then be used to determine the relationship between the two variables and make predictions about future values of the dependent variable based on the independent variable.

I can suggest a general process for selecting a topic and relevant data for a simple linear regression model. First, choose a topic or question of interest, for example, "Does the amount of exercise affect the quality of sleep?" or "Is there a relationship between the number of hours spent studying and exam scores?" Next, identify relevant datasets that contain at least two numerical variables, one for the dependent variable (e.g., quality of sleep or exam score) and one for the independent variable (e.g., amount of exercise or number of hours spent studying). Datasets can be found on websites such as Kaggle or through academic research databases.

Once the dataset is selected, the data must be cleaned and prepared for analysis. This includes checking for missing values, outliers, and ensuring that the variables are in the correct format for analysis.

Finally, a simple linear regression model can be constructed using statistical software such as R or Python.

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To represent a loss of yards in football, a negative integer is used. Therefore, a negative integer represents the result when a quarterback is tackled for a loss of yards.

In football, yardage gains and losses are represented using positive and negative numbers, respectively. When a quarterback is tackled for a loss of yards, it means that the team has moved backward, resulting in a negative change in yardage.

To indicate this negative change, a negative integer is used to represent the result. For example, if the quarterback is tackled for a loss of 5 yards, it would be represented as -5.

This convention allows for easy calculation and tracking of yardage changes during the game.

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\(x = 3\)

\(a(3) \: + \: 3 {}^{2} - 152 - 18\)

\(3a \: + \: 9 \: - 134\)

\(3a \: - 134 + 9\)

\(3a - 143\)

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Where’s the question I can help if I can see the question

Answer: 5\(\sqrt{11}\)

Step-by-step explanation:

25*11=275

\(\sqrt{25}\sqrt{11}\)

25 is perfect square but 11 is not so 11 stays inside the radical while 25 is changed to 5

Answer:

Its been a minute since I've done this math

Step-by-step explanation:

This statement demonstrates the substitution property.

The substitution property states that if two expressions are equal, then we can substitute one expression for the other in any equation or inequality. In this case, "A" is an acute angle, and "m2A" is the measure of twice that angle. The statement says that if we double the measure of an acute angle, the result will be 30 degrees. Therefore, we can substitute "m2A" for 30 degrees in any equation or inequality.

The reflexive property states that any number or object is equal to itself. The symmetric property states that if a = b, then b = a. The transitive property states that if a = b and b = c, then a = c. None of these properties are demonstrated in the given statement.

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

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Answer:

Step-by-step explanation:

if x = 14

2 ( x − 3 ) = 22

2 (14 - 3) = 22

2 (11) = 22

22 = 22

therefore, the answer is C.

Tan is the right answer

hope it helps you ❣❣

Answer:

tan

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan23° = \(\frac{opposite}{adjacent}\) = \(\frac{b}{4.5}\) ( multiply both sides by 4.5 )

4.5 × tan23° = b , then

b ≈ 1.9 ( to 1 dec. place )

The multiplier for the 18% decrease would be 1-18 = 0.82

The multiplier for the 19% increase would be 1.19

The single multiplier would be: 0.82 x 1.19 = 0.9758

Answer:

0.9758

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This statement is true. However, a counterexample to the given statement (If a and b are nonnegative integers with a|b, then a ≤ b) can also be used as a counterexample for the previous statement, but the reverse is not true.

The given statement is Disprove: If a and b are nonnegative integers with a| b, then a ≤ b. Note: A counterexample to this statement would also be a counterexample for the previous problem, but not necessarily vice versa. To disprove this statement, we need to present a counterexample. Here is the counter example:

Let's take a = 4 and b = 2Since 2 | 4, a| b, and both are nonnegative integers. But, a is not less than or equal to b i.e., 4 is not less than or equal to 2. Therefore, the statement is false.

A counterexample to this statement would also be a counterexample for the previous problem, but not necessarily vice versa. The previous problem is a statement in the opposite direction. It says that "If a and b are nonnegative integers with a ≤ b, then a| b."

This statement is true. However, a counterexample to the given statement (If a and b are nonnegative integers with a| b, then a ≤ b) can also be used as a counterexample for the previous statement, but the reverse is not true.

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\( \sqrt{8} =2 \sqrt{2} \)

\( \sqrt{8} \)

\( = \sqrt{(4 \times 2)} \)

\( = \sqrt{4} \times \sqrt{2} \)

\( = 2 \sqrt{2} \)

Answer:

Step-by-step explanation:

t = 158                         Corresponding angles

t + s = 180                   They are supplementary angles

158 + s = 180               Subtract 158 from both sides

s = 180 - 158

s = 22

As a note, all angles in this situation are either 158 or 22.

Answer: The solution for the inequality -2x > 10 is the opposite of this solution, because we flipped the direction of the inequality when we divided by -2.

Step-by-step explanation:

To solve the inequality -2x > 10, we need to isolate x on one side of the inequality by dividing both sides by -2, while flipping the direction of the inequality:

-2x > 10

x < -5

So, any value of x less than -5 would make this inequality true. For example, x = -6, x = -7, x = -10, etc.

The solutions to the inequality -2x > 10 are different from the solutions to -2x < -10 because the direction of the inequality is reversed when we multiply or divide both sides by a negative number.

For example, if we multiply both sides of -2x > 10 by -1, we get:

2x < -10

Dividing both sides by 2, we get:

x < -5

This is the same solution as for the inequality -2x < -10. However, the solution for the inequality -2x > 10 is the opposite of this solution, because we flipped the direction of the inequality when we divided by -2.

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Consider a continuous positive random variable X, whose probability density function is proportional to \((1+x)^−4 for 0≤x≤10.\) Since the probability density function is proportional to (1+x)^−4 for 0≤x≤10, let us calculate the proportionality constant as follows:

\(integral(1 to 10) [(1+x)^-4] dx = -[(1+x)^-3/3]1 to 10 = (-1/3) [(1+10)^-3 - (1+1)^-3] = (-1/3) [(11)^-3 - (2)^-3] = 0.001693.\)Therefore, the probability density function of X is given by f(x) = \(0.001693(1+x)^−4 for 0≤x≤10.\)

Hence, the expected value of X is given by E(X) = integral(0 to 10) [x f(x) dx] = \(integral(0 to 10) [x (0.001693)(1+x)^−4 dx]\)

We can calculate this using numerical integration.

Using Simpson's rule, we get E(X) ≈ 2.4013 (to 5 decimal places). Therefore, the expected value of X is approximately 2.4013.

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The sample variance is 7.To find the sample variance from a given confidence interval, we need to use the formula for the confidence interval for the population mean, which is:

Confidence interval = sample mean ± (t-value * standard deviation / sqrt(n))

In this case, since the sample variance is not directly provided, we can use the range of the confidence interval to estimate the range of the sample mean. The range of the confidence interval is given by:

Range = 2 * (t-value * standard deviation / sqrt(n))

Given that the confidence interval range is (19.0736 - 3.5990) = 15.4746, we can set up the equation:

15.4746 = 2 * (t-value * standard deviation / sqrt(13))

To find the sample variance, we need to determine the value of the t-value. Since the sample size is 13, we have 12 degrees of freedom. Consulting a t-distribution table (or using statistical software), for a 95% confidence interval and 12 degrees of freedom, the t-value is approximately 2.1788.

Substituting the values into the equation:

15.4746 = 2 * (2.1788 * standard deviation / sqrt(13))

Simplifying the equation:

7.7373 = 2.8569 * standard deviation

Dividing both sides by 2.8569:

standard deviation ≈ 2.7005

Finally, to calculate the sample variance, we square the standard deviation:

sample variance ≈ (2.7005)^2 ≈ 7.297

Rounding off to the nearest integer, the sample variance is 7.

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Answer:

45

Step-by-step explanation:

g of x = g of 4

4 is the x

so 6(4) +21 is 24 + 21 which = 45

Answer:

-3

Step-by-step explanation: