What is 12x-4y= -8 written in slope-intercept form?
Oy=3x+2
y=3x-2
Oy=12x-8
y=-12x-8

The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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The probability of the given event is 11/13.

A card is drawn randomly from a deck of 52 cards.

The probability that the card drawn is neither an ace nor a king is a question that can be answered with probability.

We know that there are 4 aces and 4 kings in a deck of 52 cards.

The probability of drawing an ace or a king is P(Ace or King) = 4/52 + 4/52 = 8/52 = 2/13

There are four of each card rank in a deck of 52 cards, and there are a total of 52 cards. A player must choose one of the 52 cards at random.

The probability of drawing an ace or a king is P(Ace or King) = 4/52 + 4/52 = 8/52 = 2/13

The probability of at drawing neither an ace nor a king is:

P(Not Ace and Not King) = 1 - P(Ace or King) = 1 - 2/13 = 11/13

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Answer:

The answer is that The number could be 3 or any integer less than 3.

Step-by-step explanation:

Answer:

What the boy measuring stick said when he saw the girl measuring stick was - Pleased to meter/metre you. It is a pun, or a play on words, because you'd normally say - Pleased to meet you, but given that these are not people, but rather measuring sticks, and what they do is measure stuff using meters as a unit of length, using the word meter instead of meet creates a funny effect because those words sound alike.

Step-by-step explanation:

There are 1040 citizens in the community. x is the total number of citizens in the community.

Let's use x to represent the total number of citizens in the community. We know that 400 citizens did not agree with the analysis, which means that the remaining (1 - 5/13) = 8/13 of citizens did agree with the analysis. Therefore, we can set up the following equation:

(8/13)x = number of citizens who agreed with the analysis

We can solve for x by adding the number of citizens who did not agree with the analysis to the number who did agree:

x = (8/13)x + 400

Multiplying both sides by 13, we get:

13x = 8x + 5200

Simplifying, we get:

5x = 5200

Dividing both sides by 5, we get:

x = 1040

Therefore, there are 1040 citizens in the community.

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If 5/13 of citizens believe that difficulty with procrastination led to not agreeing with an analysis, and 400 citizens did not agree with this analysis, how many citizens live in the community?

Answer:

  see the attached graph

Step-by-step explanation:

You want to graph these inequalities and identify their solution space.

The boundary line associated with the solution of an inequality is found by replacing the inequality symbol with an equal sign. Here, that means the boundary lines are given by the equations ...

These lines can be plotted by finding their x- and y-intercepts, then drawing the line through those points. In each case, the intercept is found by setting the other variable to zero and solving the resulting equation.

x-intercept of x+y=8:  x = 8, or point (8, 0)

y-intercept of x+y=8:  y = 8, or point (0, 8)

The inequality symbol for this inequality is "less than or equal to", so the boundary line is included in the solution set. That means the line is drawn as a solid (not dashed) line.

When we look at one of the variables with a positive coefficient, we see ...

  x ≤ ... — shading is to the left of the boundary line

or

  y ≤ ... — shading is below the boundary line

The solution space for this inequality is shown in blue in the attached graph.

The x- and y-intercepts are found the same way as above. They are ...

  x-intercept:  x = 2, or point (2, 0)

  y-intercept:  y = -2, or point (0, -2)

The boundary line is solid, and shading is to its left:

  x ≤ ...

The solution space for this inequality is shown in red in the attached graph.

The solutions of the set of inequalities are all the points on the graph where the shaded areas overlap. This is the left quadrant defined by the X where the lines cross.

__

Additional comment

To summarize the "step-by-step", you want to ...

In this process, you make use of your knowledge of plotting points and lines. You also make use of your understanding of "greater than" or "less than" relationships in the x- and y-directions on a graph.

Answer:

\((2,8]\)

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

\(2 < x < 4\)     \(4 < x < 8\)   and   \(x \ge 8\)

Combine the first two inequalities:

\(2 < x < 8\)    and   \(x \ge 8\)

For the inequality to be true, we must have:

\(2 < x \le 8\)

In interval notation, the inequality is:

\((2,8]\)

Answer:

A and C

Step-by-step explanation:

Factors are numbers that can multiplied with another number to create a product. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.

The probability P(-1.34 < t < 1.34) for you. The result will be a decimal value between 0 and 1, representing the probability. Distribution: t distribution, Degrees of freedom: 29, Probability: 0.10.

(a) To solve this problem using the ALEKS calculator, you can input the parameters of the t distribution and compute the probability. Given a t distribution with 20 degrees of freedom, you want to calculate P(-1.34 < t < 1.34).

Using the ALEKS calculator, you would enter the following parameters:

- Distribution: t distribution

- Degrees of freedom: 20

- Lower bound: -1.34

- Upper bound: 1.34

The calculator will then compute the probability P(-1.34 < t < 1.34) for you. The result will be a decimal value between 0 and 1, representing the probability.

(b) For this problem, you have a t distribution with 29 degrees of freedom, and you want to find the value of C such that P(t < C) = 0.10.

Using the ALEKS calculator, you would enter the following parameters:

- Distribution: t distribution

- Degrees of freedom: 29

- Probability: 0.10

The calculator will then compute the value of C for you. This value represents the t-score such that the probability of getting a t-score less than or equal to C is 0.10. The result will be a decimal value representing the t-score.

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It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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The length in centimeters of the side of the square is 8 cm.

The area of a rectangle and a square are -

A{R} = Length x Breadth

A{S} = Side x Side

Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.

It is given that -

A{R} = A{S}

Length x Breadth = Side x Side

32 x 2 = (Side)²

(Side)² = 64

Side = 8

Therefore, the length in centimeters of the side of the square is 8 cm.

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Answer:

6 units

Step-by-step explanation:

Let's call the length of the rectangle "L" and the width "W".

From the problem, we know that the width is 2 units less than the length, so we can write:

W = L - 2

We also know that the area of the rectangle is 48 square units, so we can write:

A = L * W

Substituting the first equation into the second equation, we get:

48 = L * (L - 2)

Expanding the brackets, we get:

48 = L^2 - 2L

Rearranging, we get:

L^2 - 2L - 48 = 0

Now we can use the quadratic formula to solve for L:

L = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -2, and c = -48. Substituting these values into the formula, we get:

L = (2 ± sqrt(4 + 192)) / 2

L = (2 ± sqrt(196)) / 2

L = (2 ± 14) / 2

So, L = 8 or L = -6. We can ignore the negative solution, so the length of the rectangle is 8 units.

Now we can use the first equation to find the width:

W = L - 2

W = 8 - 2

W = 6

Therefore, the width of the rectangle is 6 units.

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

c.    {....., -8, -7, -6}

Step-by-step explanation:

x - 9 < -15

x < -6

The value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets is {......,-8, -7, -6}

Given the inequality expression

x - 9 < -15

Add 9 to both sides

x - 9 + 9< -15 + 9

x + 0 < -15 + 9

x < -15 + 9

x < -6

Hence the value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets are {......,-8, -7, -6}

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Karnaugh maps or K-maps are pictorial methods used to minimize Boolean expressions without having to use Boolean algebra theorems and equation manipulations. Option Q is the correct answer.

They provide a visual aid for determining the optimal grouping of terms. Karnaugh maps reduce logic functions more quickly and easily than Boolean algebra simplification. It is a practical tool to use for problems that require minimizing Boolean expressions. There are two common versions of Karnaugh maps: 2-D Karnaugh maps and 3-D Karnaugh maps. A Karnaugh map consists of squares in which each square represents a product term or minterm.

In a two-variable Karnaugh map, there are four squares, whereas in a three-variable Karnaugh map, there are eight squares. Karnaugh maps are read and interpreted from left to right and top to bottom. Terms that are adjacent or touching in the map can be combined to produce a simplified expression. K-maps can minimize up to 4 variables in a 2-D map and up to 6 variables in a 3-D map. Karnaugh maps help reduce the complexity of Boolean expressions and make it easier to implement logic circuits.

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Answer:

  $344.05

Step-by-step explanation:

The markdown multiplies the price by (1 -40%) = 0.60.

  $521.28×0.60 = 312.768 ≈ $312.77

The tax multiplies the price by (1 +10%) = 1.10.

  $312.77×1.10 = $344.047 ≈ $344.05

The total cost of the surfboard was $344.05.

Answer:

4 to the power of 13

Step-by-step explanation:

Answer:

Hypotenuse (Third side) = 31.24

Step-by-step explanation:

20² + 24² = Hypotenuse²

400 + 576 = Hypotenuse²

976 = Hypotenuse²

\(\sqrt{976}\) = Hypotenuse

31.24 = Hypotenuse

Therefore, the measure of the third side would be: 31.24

Hope this helps!

Answer:

(-2) + (3-7)

(-1) * (-2)

EVALUATE THE EXPRESSION  

Step-by-step explanation:

HELP ME ONN THIS QUESTION PLSSSZ

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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Step-by-step explanation:

X(x+6) - 6(x+6)

X+6x-6x-36

X-36

False. The function, f(x) = 2x / x², is not a transcendental function

The given function, f(x) = 2x / x², is not a transcendental function. A transcendental function is a function that is not algebraic, meaning it cannot be expressed as a solution to a polynomial equation with integer coefficients. The given function is algebraic since it can be simplified to f(x) = 2 / x, which is a rational function and can be expressed as a ratio of polynomials. transcendental function, In mathematics, a function not expressible as a finite combination of the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extracting a root.

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Answer:

The statement is true.

Step-by-step explanation:

The Inequality that represents the possible distance in miles, m, that Amelia can drive without exceeding her budget is m ≤ 265.

1. The distance in miles that Amelia can drive as m.

2. The cost of renting a car for a day trip consists of two components: a fixed daily rate of $36 and an additional charge of $0.20 per mile.

3. The additional charge for the mileage is calculated by multiplying the distance m by $0.20, which gives us 0.20m.

4. To stay within her budget, the total cost (including both the fixed rate and the mileage charge) should be no more than $89.

5. Therefore, we can write the inequality: 36 + 0.20m ≤ 89.

6. Now, let's solve the inequality to find the possible range of values for m.

7. First, let's subtract 36 from both sides of the inequality: 0.20m ≤ 89 - 36.

8. Simplifying the right side of the equation, we have 0.20m ≤ 53.

9. To isolate m, we need to divide both sides of the inequality by 0.20: m ≤ 53 / 0.20.

10. Calculating the right side of the equation, we find m ≤ 265.

11. Therefore, Amelia can drive a distance of no more than 265 miles without exceeding her budget of $89.

In conclusion, the inequality that represents the possible distance in miles, m, that Amelia can drive without exceeding her budget is m ≤ 265.

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Answer:

yes, the answer is b = -15

Step-by-step explanation:

3(-15) = -45

-45 + 9 = -36

-36 - 16 = -52

so b = -15

Answer:

4 inches of snow has fallen rate per hour

therefore the unit rate is 4 inches of snow per hr.

Step-by-step explanation:

Answer:

4 per hour

Step-by-step explanation:

because 12 divided by 3 is 4

Answer:

y = 2x - 2

Step-by-step explanation:

Answer:

y= 2x -2

Step-by-step explanation:

x + 2y= 16

1.) rearrange the formula in the form y=mx + c

x + 2y = 16(subtract x on both sides)

2y = 16-x(divide by 2 on both side)

y = 8 - x/2

or

y = -x/2 + 8

2.)find gradient,use the formula:

M1 ×M2 = -1

M1 = -1/2

-1/2 × M2 = -1(divide by -1/2 on both side)

M2= 2

so our gradient is 2 and the only equation with the gradient of 2 is

y = 2x -2

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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