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The absolute difference between Anthony's favorite forecast and Bria's favorite forecast is $22 million.

To find Anthony's favorite forecast, we need to compare the forecasts generated using different methods and choose the one that suggests a higher demand for 2022.

Bria's favorite forecast, on the other hand, is based on minimizing forecasting errors, so she will choose the forecast with the smallest absolute difference from the actual sales data.

Using the given sales data, we can calculate the forecasts using the four methods mentioned. The naive forecast for 2022 is simply the sales value from the most recent year, which is $100 million.

The simple mean method calculates the average of the past 5 years' sales, resulting in a forecast of $70 million. The 3-period moving average takes the average of the sales from the three most recent years, giving a forecast of $83.33 million.

The 2-period weighted moving average assigns weights of 0.8 and 0.2 to the most recent and second most recent years, respectively, resulting in a forecast of $85 million.

Anthony's favorite forecast would be the one with the highest value, which is $100 million (the naive forecast). Bria's favorite forecast would be the one with the smallest absolute difference from the actual sales data, which is $85 million (the 2-period weighted moving average forecast).

The absolute difference between these two forecasts is $15 million, rounded to the nearest million, resulting in an absolute difference of $22 million.

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Answer:

C.  2 x 2 x 2 x 3

Step-by-step explanation:

2 x 2 x 2 x 3 = 24, which is the greatest common factor of 120 and 168.

Answer:

120

Step-by-step explanation:

Answer:

x = 117.8

Step-by-step explanation:

The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.

Taking the tan value of the listed angle :

tan 50° = x/99

1.19 = x/99

x = 1.19 × 99

x = 117.8 (nearest tenth)

Answer: 3 meters

Step-by-step explanation:

To use systematic random sampling to select dealers from the list of 35 members, we start with the 5th dealer and then select every 6th dealer thereafter. This means we would select dealers numbered 04, 10, 16, 22, 28, and 34. These 6 dealers would be included in the sample for estimating the mean revenue from dealer service departments.
To perform a systematic random sampling of the 35 Metro Toledo Automobile Dealers Association members, you will start with the 5th dealer and select every sixth dealer after that. The dealers included in the sample are as follows: 5, 11, 17, 23, 29, and 35.

random sample  is a subset of individuals (a sample) chosen from a larger set (a population) in which a subset of individuals are chosen randomly, all with the same probability. A simple random sample is an unbiased sampling technique. Simple random sampling is a basic type of sampling.

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Answer:

She needs to order 12 cars

Step-by-step explanation:

To find the total number of models, we just need to multiply the number of options for each choice:

body style: 2 options

interior package: 3 options

drive train: 2 options

So the number of different models is:

2 * 3 * 2 = 12 different models

So in order to have all the possible models, she needs to order 12 cars.

The slope of the line is -63, which represents the number of canned goods decreases at a rate of 63 per day.

The y-intercept is 825, which is the initial amount of canned goods.

In Mathematics, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information, an equation that models the situation is given by this mathematical expression;

y = mx + c

y = -63x + 825

In conclusion, we can reasonably infer and logically deduce that the slope is -63 and the y-intercept is equal to 825.

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To complete the explanation, the table needs the following explanations and equations, respectively: (-2 + 2)*3 = 0 Put the distributive property to use. Take 6 away from both sides. -2*3 = -6

An equal sign is located between the two algebraic expressions to form an equation, which is a mathematical statement. It indicates that the left and right sides of the equation are equal. Mathematical operators, variables, symbols, and integers all appear in algebraic expressions.

The initial stage in this technique is to insert any real number its opposite, which is zero. These results;

(-2 + 2)*3 = 0

The following step is to get using distributive property;

-2*3 + 2*3 = 0

That this next is to remove 6 away from both corners to get at;

-2*3 = 0 - 6

Lastly, we distill to obtain;

-2*3 = -6

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We know that n^2 is a multiple of both 24 and 108, which means it must be a multiple of their least common multiple (LCM). The LCM of 24 and 108 is 216.

So, n^2 must be a multiple of 216. This means that n must be a multiple of the square root of 216, which is 6√6.

Therefore, every integer n in s must be of form 6√6 * k, where k is a positive integer.

To find the divisors of every integer n in s, we need to find the common factors of all such expressions.

We can express 6√6 as 2√6 * 3. So, every integer n in s can be written as 2√6 * 3 * k.

The divisors of every integer n in s must be factors of 2√6 and 3.

The factors of 2√6 are 1, 2, √6, and 2√6.

The factors of 3 are 1 and 3.

Therefore, the integers that are divisors of every integer n in s are 2 and 3, which are both positive integers.

So, the correct answer is none of the given options (a, b, c, d).

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For the first limit lim x→−2  x + 2x^³  + 8, the answer is -2.
For the second limit, the answer is -18.
For the third limit, the answer is does not exist.
For the fourth limit, the answer is 3.

For the first limit:

lim x→−2

x + 2x³ + 8

We can directly substitute x = -2 and get:

(-2) + 2(-2)³ + 8 = -2

Therefore, the limit is -2.

For the second limit:

lim h → 0

(−9 + h)² − 81h

Expanding the square and simplifying, we get:

((h²) - 18h)/h

Factoring out h, we get:

h(h - 18)/h

Canceling the h terms, we get:

h - 18

Substituting h = 0, we get:

-18

Therefore, the limit is -18.

For the third limit:

lim x → 4

x² − 4x + 3

x − 4

We can factor the numerator and cancel common factors with the denominator to get:

lim x → 4

(x - 1)(x - 3)

x - 4

Substituting x = 4 gives an indeterminate form of 0/0. We can factor the numerator further:

(x - 1)(x - 3) = (x - 4 + 3)(x - 4 + 1) = ((x - 4)^2 - 1)

So the limit becomes:

lim x → 4

((x - 4)² - 1)

x - 4

Canceling the (x - 4) terms, we get:

lim x → 4

(x - 4 + 1/x - 4)

Substituting x = 4 gives:

1/0

Therefore, the limit does not exist.

For the fourth limit:

lim x → 5

x² − 7x + 10

x − 5

We can factor the numerator and cancel common factors with the denominator to get:

lim x → 5

(x - 5)(x - 2)

x - 5

Canceling the (x - 5) terms, we get:

lim x → 5

x - 2

Substituting x = 5 gives:

3

Therefore, the limit is 3.

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The equation for the line passing through P and parallel to line m is y - 4 = 0.

An equation is a mathematical statement that expresses the equality of two expressions, usually involving unknowns or variables. An equation typically uses an equals sign ("=") to denote the relationship between two expressions. Equations are used to solve problems in many areas of mathematics, including algebra, calculus, and geometry.

The equation for the line passing through P and parallel to line m is y - 4 = 0 (m), where m is the slope of line m. This equation is in slope-intercept form and can be used to represent the line passing through P and parallel to line m.

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Answer:

Y= -1/2X+9

Step-by-step explanation:

Answer:

Y= -1/2X+9

Step-by-step explanation:

Answer:

The vertex is located on the x-axis between the second and third quadrants

Step-by-step explanation:

Whereby the function is f(x) = (x + 3)², we have;

f(x) = (x + 3)² = x² + 6·x + 9

The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;

h = -b/(2·a) and k = f(h)

Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;

a = 1, b = 6, c = 9

h = -6/(2 × 1) = -3

k = f(-3) = (-3)² + 6 × (-3) + 9 = 0

The vertex (h, k) = (-3, 0)

Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.

The probability is 0.4647.

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Answer:

Final answer—- Niamh gets 12 pencils

Jack gets 21 pencils

Step-by-step explanation:

Answer:

4(x+6)(x+10)

Step-by-step explanation:

4(x^2 + 16x + 60)

4(x+6)(x+10)

and x=-6 and x=-10

Answer:

The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

After solving:

(x + 9)³ = 4096

x + 9 = ∛4096

x + 9 = 16

x = 7

Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

Answer:

32cm^3

Step-by-step explanation:

(4/3)*3*(2)^3=32

Answer:

B. Perpendicular

Step-by-step explanation:

AB forms the perpendicular bisector of CD, so they are perpendicular to each other. They intersect each other at right (90°) angles.

I hope this helps :))

The line AB and CD are Perpendicular to each other , Option B is the correct answer.

The lines that intersect each other and make an angle of 90 degree are called perpendicular to each other.

The line AB and CD are shown in the figure ,

The lines are intersecting an making an angle of 90 degree,

Therefore they are Perpendicular to each other , Option B is the correct answer.

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a. angle 2 and angle 1, angle 2 and angle 3 are linear pairs. b. angle 9 and angle 8, angle 9 and angle 5 are linear pairs. c. angle 4 and angle 2 form vertical angles.

A linear pair of angles in geometry is a pair of neighbouring angles created by the intersection of two lines. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. Thus, the total of two angles in a pair of lines is always 180 degrees.

a. angle 2 and angle 1, angle 2 and angle 3 are linear pairs.

b. angle 9 and angle 8, angle 9 and angle 5 are linear pairs.

c. angle 4 and angle 2 form vertical angles.

d. angle 8 and angle 5 form vertical angles.

e. The rays that form angle 7 and angle 9 do not for, opposite rays.

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Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

Answer:

I think it's 45 degrees

Step-by-step explanation:

<c is 90 degrees and the interior of every triangle is 180 degrees so then we subtract 90 from 180 which is 90 so we divide 90 by two since b and a seem to be equal which is 45 degrees.

If they work together, they will take 14.3 min to shovel the parking lot.

Provided to us :

time taken by Sebastian to shovel the parking lot = 50 min

time taken by Clair to shovel the parking lot = 20 min

both are doing the same work , so we take work as 1

Now , rate of doing work = work / time

Sebastian's rate of doing work = 1 /50

Clair's rate of doing work =  1/20

If they work together , the rate of doing work will

become = 1/50 + 1/20 = 7/100

So, the time for both to do the same work together will be

time = work / rate

time = 1 / (7/100)

time = 100/7

time = 14.3 minutes

So the time taken by both to work together and clear the parking lot will be 14.3 minutes.

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90% confidence interval would be less than a 95% confidence interval.

Given,

A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 percent confidence interval for the population mean or a 95 percent confidence interval for the population mean;

We have to find the difference between the intervals;

Here,

Confidence intervals are a range that depict the accuracy of the measurement. If a statistician chooses to use a 90% C I instead of a 95% C I, it informs you that you have a 10% probability of being incorrect as opposed to a 5% possibility when using the 95%.

That is, a 90% confidence interval would be less than a 95% confidence interval.

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The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer: (1, 8]

Step-by-step explanation:

The lowest point is 1, marked with an open circle, thus a soft bracket. The highest point is 8, exactly, and can be marked with a hard bracket.

Answer:

\(\huge\boxed{\sf{4c-8}}\)

Step-by-step explanation:

Hello.

Use the Distributive Property and distribute 4 in order to simplify the expression:

4(c-2)

4c-8 (we multiply c and -2 times 4)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer: x = 1.4

Step-by-step explanation:

Simplify:

6-5x+1 = 0

Subtract 1 from both sides:

6 -5x = -1

Subtract 6 from both sides:

-5x = -7

Divide both sides by -5:

x = 1.4