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pickupchik [31]
3 years ago
12

The owner of Darkest Tans Unlimited in a local mall is forecasting the demand for November the one new tanning booth based on th

e following historical data: Month Number of Tanners May: 250 June: 270 July: 190 Aug: 200 Sep: 220 Oct: 210 What is this month's forecast using exponential smoothing with alpha = 2, if August's forecast was 145?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0

Answer:

The forecast for November is 235 if August's forecast was 145.

Step-by-step explanation:

The formula for calculating forecast using exponential smoothing is:

F_{t} = F_{t-1}  + \alpha (A_{t-1} - F_{t-1} )

Where Ft = New month forecast

           Ft-1 = Previous month forecast

           At-1 = Previous month actual value

            α = smoothing constant

We are given F₈ = 145 (forecast for August), A₈ = 200 (Actual Value for August), α = 2, and we need to compute the forecast for November. So, We will first calculate the forecast for September then October and then November, step-by-step.

So, forecast for September is:

F₉ = F₈ + α (A₈ - F₈)

    = 145 + 2*(200-145)

    = 145 + 2*55

F₉ = 255

Then, forecast for October is:

F₁₀ = F₉ + α (A₉ - F₉)

     = 255 + 2*(220-255)

     = 255 + 2*(-35)

F₁₀ = 185

The forecast for November is:

F₁₁ = F₁₀ + α (A₁₀ - F₁₀)

    = 185 + 2*(210 - 185)

F₁₁ = 235

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Identify the TRUE statement relating to a property of the function y = sin x
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The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

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From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

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6 0
2 years ago
Which of the following is true of the discriminant for the graph below?
Sonbull [250]

Answer:

<u>Option C. It is zero</u>

Step-by-step explanation:

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From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.

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The roots of the quadratic equation are the x-intercepts of the function.

As shown at the figure, the quadratic equation has only one point of intersection with the x-axis

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The base of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. what is the area of the trapezoid?
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Answer:

240 ft^2

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4 0
3 years ago
If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)? A. –6
anyanavicka [17]

Answer:

-6i

Step-by-step explanation:

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x = ±6i

6 0
3 years ago
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