For each expression, select all equivalent expressions from the list.

The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:

Calculate the seasonal factor for each day by multiplying the seasonal index by the level.

Monday: 1.10 × 20 = 22

Tuesday: 0.95 × 20 = 19

Wednesday: 0.90 × 20 = 18

Thursday: 0.80 × 20 = 16

Friday: 1.25 × 20 = 25

Update the level and trend using the following formulas:

New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)

New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend

For Tuesday:

New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636

New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364

Forecast the number of customers served on each subsequent day using the formula:

Forecast = (New Level + Forecasted Trend) × Seasonal Factor

Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909

Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273

Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455

Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091

Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.

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Answer:

the volume is 1cm

Step-by-step explanation:

multiply all three fractions by using the equation V=WLH

Answer:

See below.

Step-by-step explanation:

Each term increases by 3 for A and 4 for B.  Either do this calculation manually on a table, or use a spreadsheet to calculate all terms quickly.

The ten first terms for A and B are shown.  

A B Difference

1 1 1    0

2 4 5    1

3 7 9    2

4 10 13    3

5 13 17    4

6 16 21    5

7 19 25    6

8 22 29    7

9 25 33    8

10 28 37    9

We can see that the difference between the two patterns is that B increases more rapidly until there is a difference of 9 by the 10th term.

The value of data that might affect the statistical measures of spread and center is B. There is a high data value that causes the data set to be asymmetrical for the males.

Outliers stretch out the data further, resulting in a wider range and a higher standard deviation. On the other hand, eliminating outliers reduces data spread, resulting in a lower range and standard deviation.

When an outlier is present, it might change the way the graph looks since it raises the mean. From the chart, there is a high data value in the males which will therefore make the data to be asymmetrical for the males as the larger spread for the males means the data set tilts towards them.

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Answer:

5/19

Step-by-step explanation:

The first one being a man is 10/20, or 1/2, odds. The second being a woman is 10/19 odds. Multiply these together to get 10/38, which is equal to 5/19.

Answer:

x = √48   OR   x = 6.928

Step-by-step explanation:

Cross multiply.

12 x 4 = 48

x times x = x^2

x^2 = 48

Take the square root of both sides.

x = √48

Answer:12/48 = 1/4

Step-by-step explanation:

12 x 4 =48

12/4 = 1

12/48 =1/4

Answer:

Step-by-step explanation:

\(x^2+19x+70\ \implies a=1\,,\ b=19\,,\ c=70\\\\x=\frac{-19\pm\sqrt{19^2-4\cdot1\cdot70}}{2\cdot1}=\frac{-19\pm\sqrt{361-280}}{2}=\frac{-19\pm9}{2}\ \Rightarrow\ x_1=-14\,,\ x_2=-5\\\\x^2+19x+70=(x+14)(x+5)\\\\\\x^2-225=x^2-(15)^2=(x-15)(x+15)\\\\\\x^2-5x-150\ \implies a=1\,,\ b=-5\,,\ c=-150\\\\x=\frac{-(-5)\pm\sqrt{(-5)^2-4\cdot1\cdot(-150)}}{2\cdot1}=\frac{5\pm\sqrt{25+600}}{2}=\frac{5\pm25}{2}\ \Rightarrow\ x_1=-10\,,\ x_2=15\\\\x^2-5x-150=(x+10)(x-15)\)

\(x^2+24x+140\ \implies a=1\,,\ b=24\,,\ c=140\\\\x=\frac{-24\pm\sqrt{24^2-4\cdot1\cdot140}}{2\cdot1}=\frac{-24\pm\sqrt{576-560}}{2}=\frac{-24\pm4}{2}\ \Rightarrow\ x_1=-14\,,\ x_2=-10\\\\x^2-5x-150=(x+14)(x+10)\)

\(\dfrac{x^2+19x+70}{x^2-225}\,\cdot\,\dfrac{x^2-5x-150}{x^2+24x+140}=\dfrac{(x+14)(x+5)}{(x-15)(x+15)}\cdot\dfrac{(x+10)(x-15)}{(x+14)(x+10)}=\\\\\\=\dfrac{(x+14)(x+5)}{(x-15)(x+15)}\cdot\dfrac{x-15}{x+14}=\dfrac{x+5}{x+15}\cdot\dfrac11=\boxed{\dfrac{x+5}{x+15}}\)

Answer:

The answer is option 3.

Step-by-step explanation:

First, you have to factorize the expressions :

\( \frac{ {x}^{2} + 19x + 70 }{ {x}^{2} - 225 } \times \frac{ {x}^{2} - 5x - 150}{ {x}^{2}24x + 140 } \)

\( = \frac{(x + 5)(x + 14)}{(x + 15)(x - 15)} \times \frac{(x - 15)(x + 10)}{(x + 10)(x + 14)} \)

Next, you have to cut out the common terms like (x + 14), (x - 15) and (x + 10):

\( \frac{(x + 5)(x + 14)}{(x + 15)(x - 15)} \times \frac{(x - 15)(x + 10)}{(x + 10)(x + 14)} \)

\( = \frac{x + 5}{x + 15} \)

The probability that of 10 randomly chosen bags of flour at least 2 are overweight be 0.68.

Given, that the weight of bags of all purpose flour is normally distributed with expected value 10 pounds and standard deviation 0.2 pounds.

As, we know that

P(X) = (1/s√2π)exp(-1/2((X-m)/s)^2)

where, m is the expected value

and s is the standard deviation.

Now, we have Expected value 10 pounds

and Standard Deviation 0.2 pounds

So,  the probability that of 10 randomly chosen bags of flour at least 2 are overweight be

P(X=0) + P(X=1) = (1/0.2√2π)exp(-1/2((0-10)/0.2)^2) + (1/0.2√2π)exp(-1/2((1-10)/0.2)^2)

P(X=0) + P(X=1) = 0.32

So, Required Probability be 0.68.

Now,  the probability that of 10 randomly chosen bags of flour at least 2 are overweight be 0.68

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Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Answer:

A. Yes, it is a triangle and it is unique

Step-by-step explanation:

Those side measurements make a scalene triangle.Triangles with no two equal sides or congruent angles are called scalene triangles. In scalene triangles, each angle and side is completely unique.

Answer:

y<-8

Step-by-step explanation:

y+6<-2

Isolate y

y<-2-6

Simplify

y<-8

If this helps please mark as brainliest

Answer:

\(y < - 8\)

that's ur anwser

Answer:

2/3 ≈ 0.666667

5/11 ≈ 0.454545

5/6 ≈ 0.833333

6/7 ≈ 0.857143

Step-by-step explanation:

Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.

Answer:

2/3 = 2 divided by 3 so 2 divided by 3 = 0.666667. We round up because it is a repeating decimal which goes on forever

5/11= 5 divided by 11 = 0.454545

5/6 = 5 divided by 6 =0.833333

6/7 = 6 divided by 7 = 0.857143

rounded up because it is an infinite decimal

Hope this helps

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.

To do this, we take an example.

Let the length of line segment AB be 14 Units.

Since P divides AB in the ratio 3:4

Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.

The correct option is A.

Answer:

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A number line goes from point A to point B. A line is drawn from point A to point B.

Right Answer  A.)   P will be closer to A because it will be Three-sevenths the distance from A to B.  

Wrong Answer  B.)   P will be closer to A because it will be Four-sevenths the distance from A to B.

Wrong Answer C.)    P will be closer to B because it will be Three-sevenths the distance from B to A.

Wrong Answer D.)   P will be closer to B because it will be Four-sevenths the distance from B to A.

Step-by-step explanation:

The correct answer is: To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition.

To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition. Your answer would be:

Individual outcome: {1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, ...

In each list, you roll the die until you get a 3, and you can repeat this process infinitely. The ellipsis indicates that this pattern continues indefinitely.

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We can infer here that in order to fairly distribute the remaining water to the residents of the state, a distribution channel/strategy will be needed to properly distribute the same volume of water to each resident. Therefore, I will collaborate with local officials to create a distribution strategy for fair distribution.

Lake Mead is actually known to be reservoir that is located in Nevada and Arizona. It is actually known as the largest reservoir in the US when it comes to water capacity. This reservoir actually serves the states of Nevada, Arizona and California. Some part of Mexico also benefit from it.

The Lake Mead reservoir is said to sustain about 20 million people and also serves large areas of farmlands.

To fairly distribute the remaining water to residents, a distribution strategy must be applied.

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Answer:

85

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4*4=16

(4+8)4=48

16*3=16!

Answer:

4

Step-by-step explanation:

its 4

The curve y = x^3 from x = 1 to x = 4 is approximately 80.4375 square units.

To approximate the area under the curve y = x^3 from x = 1 to x = 4 using a Right Endpoint approximation with 6 subdivisions,

we can divide the interval [1, 4] into 6 equal subintervals and approximate the area by summing the areas of the rectangles formed using the right endpoints of each subinterval.

Step 1: Calculate the width of each subinterval:

Width = (b - a) / n

Width = (4 - 1) / 6

Width = 3 / 6

Width = 0.5

Step 2: Calculate the right endpoints of each subinterval:

x1 = 1 + (1 * 0.5) = 1.5

x2 = 1 + (2 * 0.5) = 2

x3 = 1 + (3 * 0.5) = 2.5

x4 = 1 + (4 * 0.5) = 3

x5 = 1 + (5 * 0.5) = 3.5

x6 = 1 + (6 * 0.5) = 4

Step 3: Calculate the height (y-value) of each rectangle using the right endpoints:

y1 = (x1)^3 = (1.5)^3 = 3.375

y2 = (x2)^3 = (2)^3 = 8

y3 = (x3)^3 = (2.5)^3 = 15.625

y4 = (x4)^3 = (3)^3 = 27

y5 = (x5)^3 = (3.5)^3 = 42.875

y6 = (x6)^3 = (4)^3 = 64

Step 4: Calculate the area of each rectangle:

Area1 = Width * y1 = 0.5 * 3.375 = 1.6875

Area2 = Width * y2 = 0.5 * 8 = 4

Area3 = Width * y3 = 0.5 * 15.625 = 7.8125

Area4 = Width * y4 = 0.5 * 27 = 13.5

Area5 = Width * y5 = 0.5 * 42.875 = 21.4375

Area6 = Width * y6 = 0.5 * 64 = 32

Step 5: Sum up the areas of all the rectangles:

Approximated Area = Area1 + Area2 + Area3 + Area4 + Area5 + Area6

Approximated Area = 1.6875 + 4 + 7.8125 + 13.5 + 21.4375 + 32

Approximated Area ≈ 80.4375

Therefore, using a Right Endpoint approximation with 6 subdivisions, the approximate area under the curve y = x^3 from x = 1 to x = 4 is approximately 80.4375 square units.

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A. It has a 75% chance of occurring and a 25% chance of not occurring.

In probability theory, the probability of an event is defined as the ratio of favorable outcomes to the total number of possible outcomes.

In this case, the event has a probability of 3/4, which means there are 3 favorable outcomes out of a total of 4 possible outcomes.

Therefore, the event is expected to occur with a probability of 3/4 or 75%, and the remaining 1/4 or 25% represents the chance of it not occurring.

Hence, option A is the correct interpretation of a probability of 3/4.

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Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |  -3   |   6   |   0    |   0    |   0   |

--------------------------------------------

s1|   5   |   7   |   1    |   0    |   35  |

--------------------------------------------

s2|  -1   |   2   |   0    |   1    |   2   |

--------------------------------------------

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |   0   |   1   |  3/2   |  -1/2  |   14  |

--------------------------------------------

s1|   0   |   0   |   4    |   3    |   5   |

--------------------------------------------

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

--------------------------------------------

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

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Answer:

B

Step-by-step explanation:

Same thing but with t instead of x

Therefore, the dimensions of triangle ABC and the angles opposite to these sides are:

a ≈ 6.85 units

b = 13 units

c ≈ 9.39 units

A ≈ 40 degrees

B = 97 degrees

C = 43 degrees

A triangle is a geometrical shape that has three sides and three angles. It is formed by connecting three non-collinear points in a plane with straight line segments. The three sides may have different lengths, and the three angles may have different measures. The sum of the angles in a triangle is always 180 degrees. Triangles are used in many fields of mathematics, as well as in science, engineering, and everyday life. They can be classified by their side lengths and angle measures, and there are various formulas and theorems that apply to triangles.

Here,

We can use the Law of Sines to find the missing measures of the triangle.

Recall that the Law of Sines states that for any triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides opposite to the angles A, B, and C, respectively.

Given that b=13 units, and angle B=97 degrees, we can set up the proportion:

13/sin(97) = c/sin(43)

Solving for c, we get:

c = (13*sin(43))/sin(97) ≈ 9.39

Now, to find the remaining angle and side, we can use the fact that the angles of a triangle sum up to 180 degrees. We know that angle C is 43 degrees, so we can find angle A as:

A = 180 - 97 - 43 = 40 degrees

And we can find side a using the Law of Sines:

a/sin(40) = 13/sin(97)

Solving for a, we get:

a = (13*sin(40))/sin(97) ≈ 6.85

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Answer:

9

Step-by-step explanation:

√x+5-2=0

√x+3=0

√x= -3

x=9   [(-3)*(-3) = 9]

The power of a test is measured by its capability of rejecting a null hypothesis that is false, so option C is the correct answer

what is power with respect to probability?

Power is defined as the probability of correctly rejecting the false null hypothesis. It is the measure of the capability of rejecting a null hypothesis that is false.

Power = P[ rejecting a null hypothesis that is false.]

So, option C is correct, the power of a test is measured by its capability of rejecting a null hypothesis that is false

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Answer:

most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator

The two numbers whose difference is 56 and whose product is a minimum are 28 and -28, with a product of -784.

Let's assume the two numbers as x and y, where x > y.

Given that their difference is 56, we can write the equation:

x - y = 56 --------(1)

To find the product, we need to minimize the function P = xy.

We can rewrite the equation (1) as x = y + 56 and substitute it into the product equation:

P = (y + 56)y = y^2 + 56y

To find the minimum value of P, we can differentiate it with respect to y and set it equal to zero:

dP/dy = 2y + 56 = 0

Solving for y, we get:

2y = -56

y = -28

Substituting the value of y back into equation (1), we find:

x - (-28) = 56

x + 28 = 56

x = 56 - 28

x = 28

So, the two numbers are 28 and -28, and their product is (-28)(28) = -784.

Therefore, The two numbers whose difference is 56 and whose product is a minimum are 28 and -28, with a product of -784.

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Using it's concept, the probability is calculated as follows:

P(brown or greater than 9​) = 3/5.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

In the context of this problem, we have that:

The desired probability is calculated as follows:

P(brown or greater than 9​) = 6/10 = 3/5.

Both 6 and 10 can be simplified by 5, hence the simplified probability is of 3/5.

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Answer:

Step-by-step explanation:

1. Put Words into Math.

Negative three minus one and two fifths= -3- 1 2/5

2. Solve the math problem

-3-1 2/5= -4 2/5 or   -22/5 in improper fraction

Answer: -4 2/5 or -22/5

Answer:

$4,255.557336768

Step-by-step explanation:

I think.

Answer:

100 yards ( 300 feet) and it will cost $1650

Step-by-step explanation:

First you find the volume

so we do 20x10x1.5

The volume is 300 feet

Now its 16.50/yd of soil

a yard has 3 feet so lets do 300/3

300/3 is 100

So now we have to do 16.50 * 100

16.50 * 100 is 1650

Step-by-step explanation:

I guess the price is $16.50/yd³.

there are 12 inches in 1 ft.

there are 3 ft in 1 yd.

1 yd³ = 1 yd × 1 yd × 1 yd = 3 ft × 3 ft × 3 ft = 27 ft³

we need soil to fill a volume of

20 ft × 10 ft × 18 in = 20 ft × 10 ft × 1.5 ft = 300 ft³

300 ft³ = 300/27 = 100/9 yd³ = 11.11111111... yd³

we need to buy 11.11111111... yd³ or 100/9 yd³ of soil.

the price for this is

16.5 × 100/9 = 1650/9 = 550/3 = $183.3333333...

but normally, in a store, I cannot buy a fraction of a bag.

so, in order to fill 11.11111111... yd³ we might have to buy 12 yd³.

and the price for that would be

16.5 × 12 = $198.00