A process is said to have zero means if the expected value of each and every term of the process is zero.
Thus, if it is a time series, it is known as a mean zero process.
For each series, we are to state the ARMA process that we believe generated the plot. Since we are not given any information about the ARMA process that generated the plots, we can only make an educated guess based on the patterns we observe in the plots.
Series Y1:Y1 can be modeled as a first-order ARMA (1,1) process since it has periodic spikes that are gradually decreasing and a trailing white noise.
Thus, the model that may have generated series Y1 is ARMA (1,1).Series Y2:Y2 appears to be a non-stationary process that becomes stationary after the first difference.
Therefore, it can be modeled as an ARMA (0,1) or (1,1) process.
Thus, the model that may have generated series Y2 is ARIMA (0,1,1) or ARIMA (1,1,1).
Series Y3:Y3 is a periodic series that oscillates between positive and negative values with high amplitude. It can be modeled as a first-order ARMA process.
Thus, the model that may have generated series Y3 is ARMA (1,0).
Series Y4:Y4 can be modeled as an ARMA (1,1) process since it has a slowly decaying spike and a trailing white noise.
Thus, the model that may have generated series Y4 is ARMA (1,1).Hence, the ARMA processes for the four series are:Series ARMA process Y1 ARMA (1,1) Y2 ARIMA (0,1,1) or ARIMA (1,1,1) Y3 ARMA (1,0) Y4 ARMA (1,1).
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What is the the simplified form of the following expression? 5(t-1)
A t + (-5)
B 6t
C 5t + (-5)
D 5t + (-1)
The value of y is directly proportional to the value of x. If y = 36 when x = 140 what is the value of y whenx x = 70?
Answer:
The value of y is 18 at x = 70
Step-by-step explanation:
The equation of the directly proportional is y = k x, where k is the constant of proportionality.
∵ The value of y is directly proportional to the value of x
→ By using the equation above
∴ y = k x
∵ x = 140 and y = 36
→ Substitute them in the equation above
∴ 36 = k(140)
∴ 36 = 140k
→ Divide both sides by 140
∵ \(\frac{36}{140}\) = k
∴ \(\frac{9}{35}\) = k
→ Substitute the value ok in the equation
∴ y = \(\frac{9}{35}\) x ⇒ equation of proportionality
∵ x = 70
→ Substitute in the equation to find y
∴ y = \(\frac{9}{35}\) × 70
∴ y = 18
∴ The value of y is 18 at x = 70
Simplify
Rewrite the expression in the form z^n
z^5•z^6= ______
Answer:
z²^30
Step-by-step explanation:
This is it enjoy.
The average of a distribution is equal to the summation of x divided by the number of observations.
The average of a distribution, also known as the mean, is calculated by dividing the sum of all the observations by the total number of observations.
To understand why this calculation yields the average, consider the following:
Summation of x: The sum of all the observations, denoted as Σx (capital sigma x), represents the total value obtained by adding up all the individual values in the distribution. For example, if we have a set of observations {2, 4, 6, 8}, the summation of x would be 2 + 4 + 6 + 8 = 20.
Number of observations: The total number of observations, denoted as N, represents the count of how many values are included in the distribution. Using the previous example, if we have the set of observations {2, 4, 6, 8}, the number of observations N would be 4.
Division: By dividing the sum of all the observations (Σx) by the total number of observations (N), we calculate the average. In mathematical notation, the average (mean) is expressed as:
Mean (average) = Σx / N
Using our previous example, the average (mean) would be: 20 / 4 = 5.
The division operation by the total number of observations normalizes the sum of the values, resulting in an average value that represents the central tendency of the distribution. It gives us a measure of the "typical" or "average" value within the set of observations.
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big box have 1/4 of 20
gigabytes of ram
Big boxes have 1/4 of 20 gigabytes of ram will be 5 gigabytes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Big boxes have 1/4 of 20 gigabytes of ram.
Then the multiplication of the numbers 1/4 and 20 will be given by putting a cross sign between them. Then we have
⇒ (1/4) x 20
⇒ 20 / 4
⇒ 5 gigabytes
Big boxes have 1/4 of 20 gigabytes of ram will be 5 gigabytes.
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An economist wants to estimate the mean number of school children (in thousands) who read above their grade level in a major city in Georgia. He obtains information from 16 school children in the city and finds the mean to be 9.4. The population distribution is assumed to be uniformly distributed. Determine which of the following methods would be most appropriate when calculating the margin of error for the population mean: A) Normal z-distribution B) Student t-distribution C) More advanced statistical techniques 2. A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He believes that the mean is 7.
The Student t-distribution would be the most appropriate method for calculating the margin of error for the population mean in this case.
The most appropriate method for calculating the margin of error for the population mean in this case would be the Student t-distribution. This is because the sample size is relatively small (16 school children) and the population distribution is assumed to be uniformly distributed.
The Student t-distribution is used when the sample size is small and the population distribution is unknown or not normally distributed.
In contrast, the Normal z-distribution is used when the sample size is large (usually over 30) and the population distribution is assumed to be normally distributed.
More advanced statistical techniques, such as bootstrapping or Bayesian methods, may be used when the sample size is small and the population distribution is unknown, but these techniques are more complex and may not be necessary in this case.
Therefore, the Student t-distribution would be the most appropriate method for calculating the margin of error for the population mean in this case.
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given the quadratic function y=x^2+ax+b, the minimum value is -3, and the graph passes through point (1,1). find the values of the consists a and b.
Find the first 3 iterates of the function f (x) = x - 4 when Xo = -11.
-11, -15, -19
-7, -3,1
-4,-8, -12
-15.-19.-23
-11, -15, -19
================================================
Explanation:
Plug x = -11 into the function.
f(x) = x-4
f(-11) = -11-4
f(-11) = -15
The output -15 is now the input to set up the next iteration.
f(x) = x-4
f(-15) = -15-4
f(-15) = -19
The first three iterates are -11, -15, -19
Answer:
D) -15, -19, -23
Step-by-step explanation:
\(X_0=-11\)
\(X_1=(-11)-(-4)=-15\)
\(X_2=(-15)-(-4)=-19\)
\(X_3=(-19)-(-4)=-23\)
Please answer this, I need help. Thank you!!
Answer:
1 and 2 and 4
Step-by-step explanation:
which value of a and b make the equation true?
(2xy)4
An equation is formed of two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The complete option is:
Which values of a and b make the equation true?
\(\dfrac{(2xy)^4}{4xy}=4x^ay^b\)
A)a = 0, b = 0
B)a = 3, b = 3
C)a = 4, b = 4
D)a = 5, b = 5
The given equation can be simplified as shown below,
\(\dfrac{(2xy)^4}{4xy}=4x^ay^b\\\\\dfrac{2^4 \times x^4 \times y^4}{4xy}=4x^ay^b\\\\\dfrac{16x^4y^4}{4xy} = 4x^ay^b\\\\4x^{(4-1)}y^{(4-1)} = 4x^ay^b\\\\4x^3y^3 = 4x^ay^b\)
Now, comparing the two sides of the equation, the value of a and b should 3 for the equation to be satisfied.
Hence, the correct option is B.
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18 24 11 What is the area of the triangle shown? A.99 square units
В. 132 square units
C. 198 square units
D.264 square units
Answer: I think B
Step-by-step explanation:
There are 19 animals in the field. Some are cows and some are ducks. There are 60 legs in all. How many of each animal are in the field?
Answer:
There are 11 cows and 8 ducks
Step-by-step explanation:
x will represent number of cows and (19-x) will represent ducks
\(4x+2(19-x)=60\)
multiply 2 with (19-x)
\(4x+38-2x=60\)
add your x's
\(2x+38=60\)
subtract 38 on both sides
\(2x=22\)
then divided 2 on both sides
\(x=11\) cows
now to find ducks subtract
\(19-11\)
your answer will be 8
So there are 11 cows and 8 ducks
to double check do this
\(11*4 + 8*16\\=44+16\\=60\)
Paul pent $72 on 4 day-lilie and 7 geranium. Megan pent $128 on 10 day-lilie and 11 geranium. Find the cot of one day-lily and the cot of one geranium
The cost of one day-Lilly is found to be $4 and the cost of one geranium is found to be $8. Therefore, Paul spent about $16 for day-Lilly and $56 for geranium. And Megan spent about $40 for day-Lilly and $88 for geranium.
Two or more algebraic equations that have a common variable and are solved simultaneously are referred to as simultaneous equations. We can find the answers to both unknowns if we have two separate equations with the same two unknowns in each. Here, we'll employ the addition-and-subtraction or elimination method.
Let's consider the cost of day-Lilly as x and the cost of geranium as y. The cost spent by Paul is written as 4x+7y=$72 and Megan is written as 10x+11y=$128.
Solving these two equations for x and y,
\(\begin{aligned}40x+70y = \$720\\\underline{40x+44y=\$512}\\26y=\$208\\y=\$8 \end{aligned}\)
Substitute the value of y in equation 4x+7y=$72 to get the value of x,
\(\begin{aligned}4x+7(8)&=\$72\\4x&=\$16\\x&=\$4\end{aligned}\)
The answers are $4 and $8.
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A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2. Which exponential function is represented by the table?
Answer:
D.
Step-by-step explanation:
The exponential function is represented by the table is,
f(x)=0.8(2^x).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The first column is labeled x with entries negative 2, negative 1, 0, 1, 2.
The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.
The exponential function is represented by the table is,
f(x)=0.8(2^x).
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Can someone plz help me? :(
Answer:
it is C! if I were to write t<6 on a number line it would be open circle above 6 and going to the left since it is smaller than 6!
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Answer:
355
Step-by-step explanation:
185+140= 325
325+20= 355
Answer:
30/185×100=
Step-by-step explanation:
30/140×100=
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 2 kg weighs 20 N. Calculate the mass of another object that weighs 50 N.
Step-by-step explanation:
multiply and the both number and divide by bytwo
according to the text, the first step in the sampling design process is to determine the sample sizeT/F
The statement "the first step in the sampling design process is to determine the sample size" is false because according to the text, the first step in the sampling design process is to clearly define the target population.
The first step in the sampling design process is typically to define the target population and the research objectives.
This involves specifying the characteristics of the population under study and identifying the specific research questions or objectives that the sampling will address.
Once the target population and research objectives are established, the next steps in the sampling design process typically involve determining the appropriate sampling method (such as random sampling, stratified sampling, or cluster sampling) and selecting the sampling frame (the list or source from which the sample will be drawn).
After these initial steps, researchers can then consider factors such as the desired level of precision, confidence level, and variability in the population to determine the appropriate sample size.
The determination of the sample size usually comes after clarifying the research objectives and selecting the appropriate sampling method.
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need help fast!!!!!!!!!!!!
The result of operations between two functions is listed below:
(f + g) (x) = x² + 7 · x - 3, Domain: All real numbers. (f - g) (x) = x² - 7 · x + 3, Domain: All real numbers. (f · g) (x) = x² · (7 · x - 3), Domain: All real numbers.How to apply operation between functions
In this question we need to determine the result of three operations between two functions, a quadratic equation and a linear equation, both polynomic functions. According to function theory, the domain of polynomials is equal to the set of all real numbers. There are three operations:
Addition
(f + g) (x) = f(x) + g(x)
Subtraction
(f - g) (x) = f(x) - g(x)
Multiplication
(f · g) (x) = f(x) · g(x)
If we know that f(x) = x² and g(x) = 7 · x - 3, then the result of the operations are:
Addition
(f + g) (x) = x² + 7 · x - 3, Domain: All real numbers.
Subtraction
(f - g) (x) = x² - 7 · x + 3, Domain: All real numbers.
Multiplication
(f · g) (x) = x² · (7 · x - 3), Domain: All real numbers.
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find the area between the curves. first find where the functions intersect. a y=x² 5, y = - 4x, x = -2, x = 6
The area between the curves y=x^2+5 and y=-4x, from x=-2 to x=6, is 70/3 square units.
The given functions are y = x² + 5 and y = -4x.
To find the area between the curves, we first need to find where these two functions intersect. Let's solve for x:
x² + 5 = -4x
=> x² + 4x + 5 = 0
We can solve this quadratic equation using the quadratic formula:
x = (-b ± √(b² - 4ac))/2a
Substituting the values of a, b, and c, we get:
x = (-4 ± √(4² - 4(1)(5)))/2(1)
=> x = (-4 ± √6i)/2
=> x = -2 ± √6i/2
The solutions are complex, so there are no intersection points between the two curves in the real plane. Therefore, to find the area between the curves, we need to split the integral into two parts:
From x=-2 to x=0, the curve y=x^2+5 is above y=-4x
From x=0 to x=6, the curve y=x^2+5 is below y=-4x
So the area between the two curves is:
∫[-2,0] [(x^2 + 5) - (-4x)] dx + ∫[0,6] [(-4x) - (x^2 + 5)] dx
= ∫[-2,0] (x^2 + 4x + 5) dx + ∫[0,6] (-x^2 - 4x + 5) dx
= [(1/3)x^3 + 2x^2 + 5x]∣[-2,0] + [(-1/3)x^3 - 2x^2 + 5x]∣[0,6]
= (32/3) + (38/3)
= 70/3
Therefore, the area between the curves y=x^2+5 and y=-4x, from x=-2 to x=6, is 70/3 square units.
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M is directly proportional to r³ when r=4, m=160.work out the value of r when m=20
Which of the following are true for both a repeated-measures experiment and a matched subjects experiment when used to compare two treatment conditions? Check all that apply. The researcher must compute an estimated standard error for the mean difference score to compute at statistic. Participants in both types of experiments are all measured the same number of times. They both use the same t statistic The researcher must compute a pooled variance to compute at statistic. A matched-subjects experiment produced at statistic with a df of 9. How many subjects participated in this study? • 10 O 20 09 18 For a repeated-measures experiment comparing two treatment conditions, the t statistic has a df of 15. How many subjects participated in this study O 16 30 32 15
Both a repeated-measures experiment and a matched-subjects experiment can be used to compare two treatment conditions. Following are true for both of these experiments:1. The researcher must compute an estimated standard error for the mean difference score to compute at statistic.
2. Participants in both types of experiments are all measured the same number of times.3. They both use the same t statistic.4. The researcher must compute a pooled variance to compute at statistic.
How many subjects participated in the matched-subjects experiment that produced a t statistic with a df of 9?The degree of freedom (df) is the difference between the sample size and the number of groups being compared minus 1. The degree of freedom (df) for a matched-subjects experiment is equal to the total number of matched pairs minus
1.Therefore, the number of subjects participated in the matched-subjects experiment that produced a t statistic with a df of 9 is 10.How many subjects participated in a repeated-measures experiment that has a t statistic with a df of 15?The formula to calculate the degree of freedom (df) in a repeated measures t-test is df = N - 1, where N is the number of participants.Therefore, the number of subjects participated in a repeated-measures experiment that has a t statistic with a df of 15 is 16.
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I DON'T UNDERSTAND HOW THE ANSWER IS 15% PLEASE EXPLAIN
A pair of sunglasses is on sale for $17. Last week, the sunglasses were marked at a regular price of $20. What was the percent of change?
Answer:
15%
Step-by-step explanation:
17/20 the 17 is the part, and the 20 is the whole
17/20 = x/100
cross multiply
17*100= 1,700 divide by 20
=85
The price reduced to 85% the original price, but to find out how much it changed, you have to subtract the part from the whole meaning
100% - 85% = 15%
Need help on finding the domain and range
The domain and the range of the graph are x >= 1 and -∝ < y < ∝, respectively
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
How to determine the domain and the range?The domain
On the graph of the function, we can see that:
The x values start from 1 and it extends indefinitely to the right
This means that the domain is x >= 1
The range
On the graph of the function, we can see that:
The y values extend indefinitely on all sides of the coordinate plane
This means that the range is -∝ < y < ∝
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there are 10 boys and 15 girls. The teacher chooses a student by random. Eric says that the probability for a boy to be chosen is 0.5. Jenny says he is wrong. Who is correct. Give reasons
In a case whereby there are 10 boys and 15 girls and the teacher chooses a student by random, then the probability that a boy will be chosen is 2/5 which means Jenny is right.
How can the probability be calculated?Since there are there are 10 boys and 15 girls, then the total number of the population will be (10+15)=25
Then the probability of that a boy will be chosen if one of them is been chosen at random will then be =10/25 = 2/5
Therefore, Jenny is very correct because the probability of that a boy will be chosen if one of them is been chosen at random will then be 2/5.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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if it is 9:45,how many more minutes will it be until 10:00
Answer:
15 minutes
Hope its help
Answer:
15 minutes
Step-by-step explanation:
I added just to get 15 because 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Wich will be 10:00
Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
Which ordered pair is a solution of the equation?
-3x+5y=2x+3y
A) Only (2, 4)
B) Only (3, 3)
C) Both A and B
D) Neither
For the given linear equation, the solution is (3,3) i.e. B.
What is a linear equation, exactly?
A linear equation is a mathematical equation in which the highest power of the variable(s) is one. In other words, it is an equation of the form:
y = mx + b
where y and x are variables, m is the slope or gradient of the line, and b is the y-intercept (the point at which the line intersects the y-axis). The slope represents the rate of change of the line, or how steep it is, and the y-intercept represents the value of y when x is zero.
Now,
We can solve this problem by plugging in the x and y values of each ordered pair and seeing if they make the equation true.
Let's start with option A, which is (2,4):
-3x+5y = 2x+3y (original equation)
-3(2) + 5(4) = 2(2) + 3(4) (substituting x=2 and y=4)
-6 + 20 = 4 + 12
14 = 16
The left side of the equation is not equal to the right side, so (2,4) is not a solution.
Now let's move on to option B, which is (3,3):
-3x+5y = 2x+3y (original equation)
-3(3) + 5(3) = 2(3) + 3(3) (substituting x=3 and y=3)
-9 + 15 = 6
6 = 6
The left side of the equation is equal to the right side, so (3,3) is a solution.
Therefore, the answer is option B, which is "Only (3,3)".
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Categorize these measurements associated with student life according to level: nominal, ordinal, interval, or ratio. (a) Length of time to complete an exam (b) Time of fi rst class (c) Major field of study (d) Course evaluation scale: poor, acceptable, good (e) Score on last exam (based on 100 possible points) (f) Age of student
The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.
(a) Length of time to complete an exam - Ratio: This is measured on a scale of time, and can be expressed as a ratio (i.e. the amount of time spent on the exam divided by the total time allotted for the exam).
(b) Time of first class - Interval: The time of the first class is measured on a scale of minutes, hours, and days, and can be expressed as an interval (i.e. the amount of time between two classes).
(c) Major field of study - Nominal: This is a categorical measurement and can be expressed as a nominal variable (i.e. the student's major field of study is either engineering, business, etc).
(d) Course evaluation scale: poor, acceptable, good - Ordinal: This is a scale of quality and can be expressed as an ordinal variable (i.e. the quality of the course can be rated as poor, acceptable, or good).
(e) Score on last exam (based on 100 possible points) - Ratio: This is measured on a scale of points, and can be expressed as a ratio (i.e. the student's score on the exam divided by the total number of points possible).
(f) Age of student - Ratio: This is measured on a scale of years, and can be expressed as a ratio (i.e. the student's age divided by the total number of years they have been alive).
The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.
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