Based on the information provided, ETS is an abbreviation for these three terms (Error, Trend, and Season). Following that, Exponential Smoothing Methods for an ETS system can be described, with the details specified in a smoothing style.
=> As should be obvious, combining Error, Trend, and Season on any occasion in three distinct ways yields a plethora of combinations.
=> The trend depicts the overall layout of the time. It communicates with the data's drawn-out model — its tendency.
=> The seasonal section displays the types associated with anticipated events. Finally, the error component explains what the season and trend components do not. The error is due to the disparity between the first data and the combination of trend and seasonality. As a result, if we crystallize all three parts, we will have the first data back.
=> It has a counted substance conduct when the period of seasonal swings remains constant.
=> We can label our model as ETS (M,A,M).
-> Multiplicative Mistake
-> Added substance Trend
-> Multiplicative Seasonality.
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Can anyone write the equation of the graph?
The absolute value function y = |x - 3| + 5 generates the representation set on Cartesian plane.
What equation is behind a given graph?
In this question we need to determine the equation behind a representation set on a Cartesian plane. After a quick inspection, we find that the representation shows an absolute value function of the form:
y = |x - a| + b
Where:
a - Horizontal translation factor.b - Vertical translation factor.Based on all the given facts, the primitive absolute value function (f'(x) = |x|) is translated horizontally 3 units in the +x direction and vertically 5 units in the +y direction. If we know that a = 3 and b = 5, then we find the absolute value function y = |x - 3| + 5, whose representation is shown below.
In a nutshell, the representation comes from the absolute value function y = |x - 3| + 5.
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Parallelogram ABCD has vertices A(1,1) , B(17,1) , C(22,13) , and D(6,13) what is the area in units of parallelogram ABCD
The vertices of a parallelogram are given, according to which the area of the parallelogram will be equal to 58 units.
What is perimeter?The perimeter of a shape is its boundary's length, regarded as a whole. A form's circumference can be calculated by adding the lengths of all of its sides and edges. Utilizing linear length units like centimeters, millimeters, yards, and feet, it is determined.
The total of all a parallelogram's sides is its perimeter.
Firstly, solve for vertices AB:
AB = √(17- 1)² + (1 - 1)² = 16
Then,
BC = √(22 - 17)² + (13 - 1)² = 13
Then,
CD = √(6 - 22)² + (13 - 13)² = 16
Lastly,
AD = √(6 - 1)² + (13 - 1)² = 13
Add all the values,
P = 16 + 13 + 16 + 13
P = 58 units.
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scores on a standard iq test for people aged 20 to 34 are normally distributed with mean 110 and standard deviation 25. what is the probability that a randomly selected young adult will score between 85 and 160 on this iq test? round your answer to four decimal places.
The probability that a young adult chosen at random will achieve an IQ between 85 and 160 is 0.8185.
The problem states that;
A typical IQ test result for individuals between the ages of 20 and 34 has a mean of 110 and a standard deviation of 25, and the values are regularly distributed.
To get the probability that a randomly selected young adult will score between 85 and 160 on this IQ test.
Let,
P(85 < x < 160) = P[ (85 - 110)/ 25) < (x - μ) / σ < (160 - 110) / 25) ]
= P(-1 < z < 2)
= P(z < 2) - P(z < -1)
= 0.9772 - 0.1587
= 0.8185
Therefore, the probability that a randomly selected young adult will score between 85 and 160 on this IQ test is 0.8185.
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Quadrilateral ABCD has vertices A(9, 9), B(—7, 9),
C(-8,-5), and D(4,-5). In terms of units, what is the
perimeter of quadrilateral ABCD?
Round your answer to the nearest tenth.
Answer:get a tutor
Step-by-step explanation:
its free
Which units are used to measure both velocity and speed? Select three options.
m/s
d/t
km/h
mph
m2
Answer:
M/s, km/h, and mph
Step-by-step explanation:
M/s = meters (travelled) per second
km/h = kilometers (travelled) per hour
mph= miles (travelled) per hour
Answer:
m/s
km/h
mph
Step-by-step explanation:
: )
Which of the following is true about the constant of proportionality? Select all that apply. Multiple select questions. cross out
A) The constant of proportionality is also the unit rate. cross out
B) The constant of proportionality is always equal to 1. cross out
C) The constant of proportionality is always equal to 0. cross out
D) There is no constant of proportionality in a nonproportional relationship. cross out
E) If two quantities are proportional, the constant of proportionality is the constant ratio between them.
Answer:
D
Step-by-step explanation:
14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day?
Answer:
42 workers
Step-by-step explanation:
27 divided by 9 = 3 (how much we need to multiply workers by)
14x3=42
[24+9-(5x3)+10]÷2
what is the value of the following the expression
Answer:
14
Step-by-step explanation:
[tex](33 - (15) + 10) \div 2 \\ 33 - 15 + 10 \div 2 \\ 18 + 10 \div 2 \\ 28 \div 2 \\ = 14[/tex]
Answer:14
Step-by-step explanation:1/2 (24+9- 5 x 3 + 10
How to find correlation coefficient? I'm stuck pls help me
(0,1132), (1,1107), (2,1000), (3,1019)
The correlation coefficient of the data (0,1132), (1,1107), (2,1000), (3,1019) is -0.89
How to determine the correlation coefficient?Correlation coefficients are used to measure how strong a relationship is between two variables
Given: (0,1132), (1,1107), (2,1000), (3,1019)
x >>>> y >>>> x² >>>> y² >>>> xy
0 1132 0 1281424 0
1 1107 1 1225449 1107
2 1000 4 1000000 2000
3 1019 9 1038361 3057
................................................................................................
6 4258 14 4545234 6164
.................................................................................................
The formula for the correlation coefficient is:
r = ( n∑xy -(∑x)(∑y) ) / ( √(n∑x² - (∑x)²) .√(n∑y² - (∑y)²) )
From the table:
∑x = 6, ∑y = 4258, ∑x² = 14, ∑y² = 4545234 and ∑xy = 6164
n = 4 (number of data points)
Substituting the values into the formula will give:
r = ( 4×6164 -(6)(4258) ) / ( √(4×14 - (6)²) .√(4×4545234 - (4258²) )
r = 24656-25548 / √(20).√(50372)
r = -892/√(1007440)
r = -0.89
Therefore, the correlation coefficient is -0.89
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Micah is making salsa at a factory using tomatoes
and onions in the ratio of 5:2. If the total volume
of salsa Micah makes is 147 cups, find the volume
of the tomatoes Micah uses.
Answer: 21 Tomatoes
Step-by-step explanation:
5 + 2 = 7
147 / 7 = 21
21 Tomatoes
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Answer: 4.5m
Step-by-step explanation:
because 12.5 can - by 2.5
then 9.0=9 -5.5=4.5
Pls solve this problem
Answer: -22/5 or -4.4
Step-by-step explanation:
Simplify so 2(22/7*10)(10+h)=352
Distribute so (2*22/7*10)(10) + (2*22/7*10)(h) = 352
Which would equal 4400/7 +440/7h=352
Subtract 4400/7 to both sides
That equals 440/7h=-1396/7
Multiply both sides by 7/440
h=-22/5
Compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4.
Answer: By compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4 we can see that in first graph value is x belongs to [-6,-4] and in second graph we can see that x belongs to (-∞,-6] ∪ [-4,∞)
What does a coordinate mean in math?
a pair of values used to specify a point's position on a coordinate plane using the horizontal and vertical breakups from the two reference axes. typically represented by the pair of x-values and y-values (x,y).
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For which value of 0 is sin 0=-1?
y
sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.
Given,
sin 0 = -1
We have to find the value of 0.
Lets see the trigonometric table for sin.
sin 0 = sin 0 = 0sin 30°= sin π/6 = 1/2sin 45° = sin π/4 = 1/√2sin 60° = sin π/3 = √3/2sin 90° = sin π/2 = 1sin 180° = sin π = 0sin 270° = sin 3π/2 = -1sin 360° = sin 2π = 0From the above table we get the value of sin 0
The value -1 is for sin 270° which is equal to sin 3π/2
That is,
sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.
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hi i need some help with this math problem
1 is value of x in given function.
What is the definition of a function?
An association between a value from the set of the first components of the ordered pairs and a specific value from the set of the second components is known as a function. a relationship between a set of inputs and a set of potential outputs, where each input is connected to only one possible output.f(x) = 2x + 4/6
put x = - 2 in equation
f(-2) = 2 * -2 + 4 /6
= -4 + 4 /6
= 0/6
= 1
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You have a $250 card to use at a sporting goods store. Each pair of sneakers is worth $80 and a pair of sacks costs an inequality that represents the possible numbers of x pairs of socks you can buy when you buy 2 pairs of sneake
The inequality that represents the the possible numbers of x pairs of socks you can buy when you buy 2 pairs of sneakers, using a system of equations, is of:
y ≤ 7.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of the problem from which the system was built.
For this problem, the variables are given as follows:
Variable x: number of pairs of sneakers bought.Variable y: number of pairs of socks bought.You have a $250 card to use at a sporting goods store. Each pair of sneakers is worth $80 and a pair of socks costs $12, hence the inequality regarding the total spending is:
80x + 12y ≤ 250.
When two pairs of sneakers are bought, we have that:
x = 2.
Hence the inequality regarding how many pairs of socks can be bought is:
80(2) + 12y ≤ 250.
160 + 12y ≤ 250.
12y ≤ 90
y ≤ 90/12
y ≤ 7. (rounded down, as you can buy 7 pairs of socks but not 8).
Missing InformationThe cost of a pair of socks is of $12.
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In a certain skyscraper, the elevators whisk you to a restaurant in the skyscraper at a speed of 800 feet
in 10 seconds. If the restaurant is 300 feet up, how long will it take you to reach the restaurant by
elevator?
Answer:
[tex]3\frac{3}{4}[/tex] seconds
Step-by-step explanation:
So you travel 800 feet in 10 seconds. If you divide that by 2, then you travel 400 feet in 5 seconds, or 100 feet in 5/4 seconds. Multiply by 3 to get 300 feet in 15/4 seconds, or 15 feet in [tex]3\frac{3}{4}[/tex] seconds.
everyone can someone help me here please (complete solution and graph)
Answer:
1: x^2+y^2-6x-4y-3=0
2: x^2+y^2-10x+4y=0
3: x^2+y^2-10x+2y+1=0
Please Help. The depth at which whales dive, y, in feet, as related to the duration of the dive, t, in seconds, is represented by the linear model y hat equals 4.8 plus 11.23 times t. If the dive duration is 5 seconds, what is the predicted depth of the dive?
0.02 feet
60.95 feet
−60.95 feet
−0.02 feet
Using the linear function, the depth of the dive at 5 seconds is 60.95 feet
Linear FunctionLinear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
In this question, we can represent the problem using a linear function or equation and plug in the value of our unknown.
y = 4.8 + 11.23t
Using this function, we can find the depth at 5 seconds;
y = 4.8 + 11.23(5)
y = 60.95ft
The depth of the whale at 5 seconds is 60.95 feet
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Solve for an angle in right triangles
I just need the answer i don’t need the whole thing explained :)
Answer: ∠B≈39.81°
Step-by-step explanation:
[tex]\displaystyle\\tg\angle B=\frac{AC}{BC} \\\\tg\angle B=\frac{5}{6} \\\\\angle B=arctg\frac{5}{6} \\\\\angle B\approx39.81^0[/tex]
Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money.
uhmm,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
How many times greater is 1.88 times 10^2 than then mass of 2.35 times 10^-1
1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.
The two numbers given are:
1.88 times 10²
= 1.88 × 10²
And
2.35 times 10⁻¹
= 2.35 × 10⁻¹
We need to find that how much time is 1.88 × 10² greater than 2.35 × 10⁻¹.
We will use division for the same.
So, we get that:
= 1.88 × 10² / 2.35 × 10⁻¹
Using the rules of exponents and simplify the expression, we get that:
= 0.8 × 10 ²⁺¹
= 0.8 × 10³
= 0.8 × 1000
= 800
Therefore, we get that, 1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.
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16-2t=5t+9 One solution was found : t = 1 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Answer
Step-by-step explaination:
This is an algebraic equation. We have to solve it like this......
16-2t=5t+9
-5-2t=-16+9
-7t=-7
Ans: -7t=-7
how do i work this out please?
By evaluating the linear equation we will see that:
A = -3
B = 4
And the correct line is the purple one.
How to get the values of A and B?We know that the points (0, A) and (B, 0) lie on the line 3x - 4y = 12
To find the value of A, we can replace the values of the point on the line, so we get:
3*0 - 4*A = 12
-4*A = 12
A = 12/-4 = -3
A = -3
To get the value of B we do the same thing.
3*B - 4*0 = 12
B = 12/3
B = 4
So the points are (0, -3) and (4, 0).
Then the correct line is the purple one.
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4) Simplify the expression and identify any restrictions on x.
Answer:
6X/X^2-2X+1
Step-by-step explanation:
x
2
−3x+2
9x
2
+18x
÷
2x−4
3x
2
+3x−6
Divide
x
2
−3x+2
9x
2
+18x
by
2x−4
3x
2
+3x−6
by multiplying
x
2
−3x+2
9x
2
+18x
by the reciprocal of
2x−4
3x
2
+3x−6
.
(x
2
−3x+2)(3x
2
+3x−6)
(9x
2
+18x)(2x−4)
Factor the expressions that are not already factored.
3(x−2)(x+2)(x−1)
2
2×9x(x−2)(x+2)
Cancel out 3(x−2)(x+2) in both numerator and denominator.
(x−1)
2
2×3x
Expand the expression.
x
2
−2x+1
6x
4. A triangle has two sides measuring 8 cm and 15 cm. Write an inequality to represent the possible lengths of the third side.
Answer:
7 < x < 23
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the interval
difference of 2 sides < x < sum of 2 sides , that is
15 - 8 < x < 15 + 8
7 < x < 23
0.000007328 rounded to the nearest millioneth,the numbers is about
When the numerical data (number) 0.000007328 is rounded to the nearest millionth, the number is about 0.000007.
What is a place value?A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsTen thousandthsHundred thousandthsMillionths.UnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.Based on the numerical data (number) provided above, the place value of seven (7) is millionth and it would be rounded up as seven (7) because the next number on its right (3) is less than five (5) and as such, it can seven (7) rounded up to eight (8).
In this context, we can reasonably infer and logically deduce that 0.000007 is a numerical data (number) that represents millionth based on the place value of seven (7).
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24 greater than or equal to 2X - 10 less than -6
1 can go on saturday and 14 can go on sunday; some of them can go on both days. how many people can only go to the game on saturday? 6
Answer:
No solution
Step-by-step explanation:
The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.
Hope this helps.
Find X and Y, this was too hard for even my parents
Answer:
6x+97
Step-by-step explanation:
Hint: 3 sides of a triangle adds up to 180*.
((i know ur gonna clown on me for not giving the answer(i know the answer :d)but trust me the if u get da hint, ull solve it fine)
