What is the exponential smoothing forecast for period 5 assuming that alpha = 0.5?
Period Heat
1 418
2 411
3 412
4 413
5 418
6 414
7 421
(Keep 2 decimals in your answer)
Answers
The exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).
Exponential smoothing is a forecasting method that uses a weighted average of past observations, with more recent observations receiving higher weights. The forecast for a specific period is calculated by adding the weighted average of the previous period's forecast and the actual observation.
Given the data and alpha value provided, we can calculate the exponential smoothing forecast for period 5 using the following steps:
1. Initialize the forecast for period 1 as the actual observation for period 1: F1 = 418.
2. Calculate the forecast for period 2 using the exponential smoothing formula:
Ft = α * At-1 + (1 - α) * Ft-1
Where:
Ft = Forecast for period t
At-1 = Actual observation for period t-1
Ft-1 = Forecast for period t-1
α = Smoothing parameter (alpha)
Using the values provided, we can calculate F2:
F2 = 0.5 * 418 + (1 - 0.5) * 418 = 418
3. Repeat the calculation for periods 3, 4, and 5:
F3 = 0.5 * 412 + (1 - 0.5) * 418 = 415
F4 = 0.5 * 413 + (1 - 0.5) * 415 = 414
F5 = 0.5 * 418 + (1 - 0.5) * 414 = 416
Therefore, the exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).
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Related Questions
Use the image below to answer the following parts.
Three adjacent angles where the angles are represented as expressions.
Part A: What is the relationship between the angles shown? Explain.
Part B: What is the value of x? Show all work.
Part C: What is the measure of ∠ABD,∠DBK,∠KBC and ? Show all work.
Answers
Answer:
Step-by-step explanation:
Part A
Since, the given angles are formed at a point are on a straight line, sum of these angles will be 180°.
Part B
(3x - 5)° + (4x + 2)° + (2x + 3)° = 180°
9x = 180
x = 20
Part C
m∠ADB = (3x - 5)°
= (3×20 - 5)°
= 55°
m∠DBK = (4x + 2)°
= (4×20 + 2)°
= 82°
m∠KBC = (2x + 3)°
= (2×20 + 3)°
= 43°
IS THIS RIGHT!! I WILL GIVE YOU BRAINLIEST!!!
Answers
Answer:
its right
Step-by-step explanation:
Prove the identity.
tan^5x = tan x (sec² x - 2 sec² x + 1)
Answers
goal:tan^5x=tanx(sec²x-2sec²x+1)
proof: from l.h.s to r.h.s
tan^5x=(tanx)^5=((tanx)(tan²x)(tan²x))
from trigonometry identity
(tan²x)=sec²x-1
tan^5x=(tanx(sec²x-1)(sec²x-1))
=(tanx(sec^4x-sec²x-sec²x+1))
=(tanx(sec^4x-2sec²x+1))
proved
Find the area of the shaded figure
Answers
Answer:
272 units^2
Step-by-step explanation:
1) Find area of whole figure which is a trapezoid.
Area of trapezoid = ((18+34)/2)*16 We are adding the bases, dividing by 2 and multiplying by height. This is the formula to find the area of a trapezoid.
So Area of trapezoid = 416 units^2
2) Find area of non-shaded figure which is a triangle.
Base= 18, Height= 16
Area of triangle = (16*18)/2 We are multiplying the base and height which is the formula to find the area of a triangle.
So Area of triangle = 144 units^2
3) Subtract non-shaded figure from whole figure to get shaded figure.
416-144 = 272 units^2
Hope this helps :)
The following are the rating of male by female in an experiment involving peed dating. Ue the given data to contruct a boxplot and identify the 5-number ummary. 1. 0 1. 5 2. 5 3. 0 4. 0 4. 0 4. 5 4. 5 4. 5 4. 5 4. 5 5. 0 5. 0 5. 5 5. 5 5. 5 6. 0 6. 0 6. 5 6. 5
Answers
1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.
How do you find the 5 number summary?
When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.
Smallest value = 1.0
Median of the first half data Q1 = 3.5
Median Q2= 5.0
Median of the second half data Q3 = 6.5
Largest number = 10.0
The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
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Zoey read a novel in 30 days she made it a habit to read 13 pages everyday for the first 20 days. if in the last 10 days she reads 6 pages everyday how many pages are in the book?
Answers
Explanation:
20 days times 13 pages= 260pages
10 days times 6 pages = 60pages
Total for the 30 days:
260+60= 320 pages total
Answer:
320 pages.
Step-by-step explanation:
We can simply multiply and add to find how many pages are in the book.
So we have (13 pg * 20 d) + (6 pg * 10 d) = 260 + 60 = 320.
Another way of solving is to set up a proportion for both the 20 and 10 days, find how many pages are read on these days, and add:
\(\frac{13pg}{1d}=\frac{xpg}{20d}\\ x=260pages\\\\\frac{6pg}{1d} =\frac{xpg}{10d}\\ x=60pg\\260+60=320\)
24 There are 4 students running for president in the school election. The likelihood of
each student winning has been estimated by surveying a random sample of
students. The results of the survey are shown below.
Jocelyn
1
5
Melvin 1596
Sharon
3
10
Jayden 0.35
Which student is most likely to win?
A Jocelyn
B Melvin
C Sharon
D Jayden
Answers
Answer:
D
Step-by-step explanation:
1/5 = 20%
3/10 = 30%
15%<35%
30%<35%
20%<35%
When there is a problem with Solver being able to find a solution, many times it is an indication of a(n)
Answers
When Solver is unable to find a solution to a problem, it can be an indication of various issues. One possible cause is that the problem may be too complex for Solver to solve within the given constraints.
In such cases, it may be necessary to adjust the problem parameters or seek alternative solutions. Another possible cause of Solver's inability to find a solution could be due to incorrect input data. This can lead to inconsistent or contradictory constraints, making it impossible for Solver to arrive at a feasible solution. Lastly, Solver may fail to find a solution due to numerical errors or limitations in the algorithm used. These issues can arise when dealing with large datasets or highly non-linear problems. In any case, when Solver is unable to find a solution, it is important to carefully examine the problem and its parameters, and consider alternative approaches. Sometimes, a small adjustment to the input data or constraints can make all the difference in arriving at a successful solution. In such cases, Solver may struggle to find an accurate or optimal solution. Ill-conditioned problems typically involve numerical instability or poor scaling, while infeasible problems occur when the given constraints cannot be satisfied simultaneously. It is crucial to analyze and refine the problem to enable Solver to find a viable solution effectively. When there is a problem with Solver being unable to find a solution, it often indicates the presence of a(n) ill-conditioned or infeasible problem.
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You are at the grocery store choosing between bananas and walnuts. You know that the price of walnuts is $2 per pound and the price of bananas is $1 per pound, and your satisfaction from consuming is given by the following utility function: U=W .5
B .5
a. What is your marginal rate of substitution of walnuts for bananas? b. Using the Lagrangian approach, find your optimal consumption bundle. What is your total utility at this level? c. If the price of bananas doubles to $2 per pound, how much income must you have to maintain the same level of utility?
Answers
a. MRS = √(W/B)
b. Optimal bundle and total utility.
c. Adjusted income for constant utility.
a. The marginal rate of substitution (MRS) of walnuts for bananas is the rate at which you are willing to give up walnuts in exchange for one additional pound of bananas while keeping the utility constant. In this case, the MRS is equal to the ratio of the marginal utility of walnuts to the marginal utility of bananas. Since the utility function is U = √(W * B), the MRS can be calculated as MRS = √(W/B).
b. Using the Lagrangian approach, we can set up the following optimization problem: maximize U = √(W * B) subject to the constraint 2W + B = I, where W represents the pounds of walnuts, B represents the pounds of bananas, and I represents income. By solving the Lagrangian equation and the constraint, we can find the optimal consumption bundle and income level.
c. If the price of bananas doubles to $2 per pound, we need to determine the income required to maintain the same level of utility. With the new price, the constraint becomes 2W + 2B = I. By solving the Lagrangian equation again and substituting the new constraint, we can find the income level required to maintain the same level of utility.
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Graph the equation: g(x) = 5 - 2x
Answers
So first you could need to find the x and y intercepts.
So the x intercept can be found why y is zero and vice versa.
so your graph would go through the points (0,5) and (2.5,0)
What is the quotient of the following rational expression?
(x ^ 3 + 3x ^ 2 - 4x + 5)/(x ^ 2 - 2)
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be solved as,
\(\dfrac{x^3+3x^2-4x+5}{x^2-2}\\\\\\= x + \dfrac{3x^2-2x+5}{x^2-2}\\\\\\= x + 3+\dfrac{-2x+11}{x^2-2}\)
Hence, the quotient of the following rational expression is (x+3), while the remainder is (-2x+11)/(x²-2).
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Type the correct answer in the box. Use numbers instead of words.
Use the place-value chart to help answer the question.
Thousands
Hundred
Ten
Thousands Thousands
2
8
Thousands Hundreds
,000
8
6
Reset
Ones
Tens
Next
9
The value of the digit in the ten thousands place is how many times the value of the digit in the thousands place?
Ones
1
Answers
the answer to the question is that the value of the digit in the ten thousands place is 2 times the value of the digit in the thousands place.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
To answer the question, we need to look at the digit in the ten thousands place and the digit in the thousands place. The digit in the ten thousands place is 2, and the digit in the thousands place is 8.
The place value of the ten thousand place is ten thousand times greater than the place value of the thousand place. Therefore, we can say that the digit in the ten thousand place has a value of 2 x 10,000 = 20,000, and the digit in the thousands place has a value of 8 x 1,000 = 8,000.
Now, we can compare the value of the digit in the ten thousand place with the value of the digit in the thousands place. We see that the value of the digit in the ten thousands place, which is 20,000, is exactly 2 times the value of the digit in the thousands place, which is 8,000.
So, the answer to the question is that the value of the digit in the ten thousands place is 2 times the value of the digit in the thousands place.
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which expression has the same value as 7 ÷ 9/10
A) 7 x 10/9
B) 1/7 ÷ 910
C) 7 x 9/10
D) 1/7 ÷ 10/9
Answers
Answer
A.) 7* 10/9
When you divide fraction you change the symbol and flip the fraction and A is that equation.
Answer:
7 ÷ 9/10 = 7.777
a. 7 × 10/9 = 7.777
b. 1/7 ÷910 = 0.000
c. 7 × 9/10 = 6.3
d. 1/7 ÷ 10/9 = 0.128
therefore the answer is a
Step-by-step explanation:
Hope this helped!!! have a wonderful day!! :):):):)
What division problem does this area model represent?
Enter your answer in the boxes.
÷ 75 =
R
Rectangle with left side labeled 75. Vertical lines divide the rectangle into three parts. The left part has 40 above it and 3000 inside it. The middle part has 4 above it and 300 inside it. The right part has 53 inside it and nothing above it.
Answers
The division problem that's illustrated based on the information is 3000/75 = 40 without remainder.
How to calculate the rectangle?
A rectangle is defined as a two-dimensional shape having four-sided and opposite sides equal and parallel.
From the information, it was stated that the rectangle with left side labelled 75 and the middle part has 4 above it and 300 inside it.
Therefore, the division problem that's illustrated based on the information is 3000/75 = 40 without remainder.
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In the fraction 7/8, the numerator denominator is 7.
Answers
7/8 is the fraction
7 is the numerator
8 Is the denominator
Answer:
hhshshidhidhsd
Step-by-step explanation:
how you feel about that????
Diane owes $11901.00 to the bank after completing her college degree. With the funds from her new job she is paying back $153.00 per month. Her friend Teresa was given $4906.00 in the bank for college from her family, and she is spending $337.00 per month out of this college fund. If these were continuous functions, after how many months will Diane have the same bank balance than Teresa, rounded to the nearest tenth
Answers
You are traveling underwater in a submarine. The sonar system detects an iceberg 4800 meters ahead with an angle of depression of 34° to the bottom of the iceberg.
How many meters must the submarine lower to pass under the iceberg? Round to the nearest hundredth.
4800 m
34°
Answers
Answer:
idek
Step-by-step explanation:
Find the average rate of change over the interval [-4, -1] *
f(x) = x^2?
Answers
Answer:
ijbibhibhhhvhj
Step-by-step explanation:
I need some answers be quick pls. If you get it right I will give you brainliest
Answers
Step-by-step explanation:
multiple the power and real number
Answers;
a) Multiply 2 by 3: 6ab.
b) Multiply \(c^{5}\) by c by adding the exponents: c^6 or \(c^{6}\).
c) Simplify the expression. 10y^7 or \(10y^{7}\).
d) Simplify the expression. 12g^4h^5 or \(12g^{4}h^{5}\).
4 of 64 of 6 Questions
Question
A new doughnut shop lost $624 during its first 13 days of business. If it lost the same amount of money each day, what was the loss each day?
Which choice shows the correct quotient and answer?
(−624)÷13=−48; The doughnut shop lost $48 each day.
(−624)÷13=8,112; The doughnut shop made a profit of $8,112 each day.
(−624)÷13=48; The doughnut shop made a profit of $48 each day.
(−624)÷13=−611; The doughnut shop lost $611 each day.
Answers
If a new doughnut shop lost $624 during its first 13 days of business. If it lost the same amount of money each day, the loss each day is: A. (−624)÷13=−48; The doughnut shop lost $48 each day.
How to find the loss per day?Given data:
Amount lost = $624
Days of business = 13 days
Now let determine the amount that the doughnut shop lost per day
Loss per day = Amount lost / Days of business
Loss per day = - $624/13 days
Loss per day = -$48
Therefore we can conclude that the correct option is A
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what is A'C; the lenght of AC..........................
Answers
B
Explanation:
Angles do not change with dilation, so angle of A stays 28 degrees. If the dilation is greater than 1, it is increasing/enlarging so with the dilation factor being 2 side AC will be multiplied by 2 ( 2 x 30 = 60). So angle A is 28 degrees and length of AC is 60.
. The length of a square board is (5x+3). Find the area of the board. Hint: Formula A=l*w
Answers
Answer:
64
Step-by-step explanation:
Answer:
A = 25x^2 + 30x + 9
Step-by-step explanation:
A = (5x+3) * (5x+3) or A = (5x+3)^2
A = 5x*5x + 5x*3 + 5x*3 + 3*3
A = 25x^2 + 15x + 15x + 9
A = 25x^2 + 30x + 9
Another one y'all ready know it's algebra!
Answers
Answer:
-3x²-12x is your answer
Answer:
Step-by-step explanation:
help exponents thank you in advance
Answers
Answer:
hope this helps please mark me as brainlist
3 left parenthesis x space minus space 8 right parenthesis greater than negative 4 space plus space x
Answers
Answer:
The solution of the given inequality
x > 10
Step-by-step explanation:
Step(i):-
Given inequality
3 ( x-8) > -4 + x
Multiply
3 x - 24 > -4 +x
subtract 'x' on both sides , we get
3 x - 24 - x > - 4 + x - x
⇒ 2 x - 24 > - 4
Step(ii):-
Adding '2'4' on both sides , we get
⇒ 2x - 24 + 24 > -4 +24
⇒ 2 x > 20
Dividing '2' on both sides , we get
\(\frac{2x}{2} > \frac{20}{2}\)
x > 10
Final answer:-
The solution of the given inequality
x > 10
Find the standard deviation for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
n = 48; p = 3/5
Please explain this to me. I do not understand it at all.
Answers
The standard deviation for the binomial distribution with n trials and success probability p is given by the formula σ = sqrt(np(1-p)).
In this case, n = 48 and p = 3/5. Plugging these values into the formula, we get σ = sqrt(48*(3/5)*(2/5)) ≈ 3.05. Therefore, the standard deviation for this binomial distribution is approximately 3.05.
The standard deviation measures the spread of a distribution. In the case of a binomial distribution, it tells us how much the number of successes varies around the mean. A smaller standard deviation indicates that the distribution is more concentrated around the mean, while a larger standard deviation indicates that the distribution is more spread out. In this case, the standard deviation of approximately 3.05 means that the number of successes is likely to vary by about 3 around the mean, which is np = 28.8.
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Based on the quantity equation, if Y = 3,000, P = 3, and V = 4, then M = Select one: a. $2,250. b. $250. c. $36,000. d. $4,000.
Answers
According to the quantity equation, the answer is option (a) $2,250.
the value of M when Y = 3,000, P = 3, and V = 4. The quantity equation is represented as MV = PY. To solve for M, follow these steps:
1. Substitute the given values into the equation: M * 4 = 3 * 3,000
2. Simplify the equation: 4M = 9,000
3. Divide both sides by 4: M = 9,000 / 4
4. Calculate the value of M: M = 2,250
So, when Y = 3,000, P = 3, and V = 4, the value of M is $2,250 (option a).
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help with questions on first page i give 100 points and brainliest
Answers
Answer: Attached
Step-by-step explanation:
y=mx+b
Practice.
Help me PLEASEEE I need help
Answers
Answer:
area of shaded portion=56 - 1/2 ×3×4=56-6= 50 yd^2
PLEASE HELP DUE TODAYY
Answers
Answer:
y <= 0
Step-by-step explanation:
it's shaded when the value of y is 0 or below 0 (the vertical axis)