a linear trend means that the time series variable changes by a :
a) constant amount each time period
b) positive amount each time period
c) negative amount each time period
d) constant percentage each time period
Answers
a) Constant amount each time period is the linear trend for time series variable.
A linear trend refers to a pattern in a time series variable where the values change at a constant rate over time, either increasing or decreasing by a fixed amount each period. This means that the change is not proportional to the previous value, but rather follows a straight line or linear pattern. Therefore, the correct answer is a) constant amount each time period.
Data that is gathered and stored over a number of evenly spaced time intervals is known as a time series variable. It displays the values of a particular variable or phenomenon that have been tracked over time. To analyse and comprehend trends, patterns, and changes in data across an ongoing time period, time series variables are frequently utilised. Stock prices, temperature readings, GDP growth rates, daily sales statistics, and population counts over time are a few examples of time series variables. Plotting, trend analysis, seasonality analysis, forecasting, and spotting potential connections or correlations with other variables are some of the techniques used to analyse time series data.
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Related Questions
Complete the ratio table.
15
14
42
60
56
75
70
90
Answers
A number x is no more than 9 units away from 8. Write and solve an absolute-value inequality to show the range of possible values of x.
Answers
The absolute value inequality is | x - 8 | ≤ 9 and range of x is -1 ≤ x ≤ 17
An absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
According to the question,
A number "x" is no more than 9 units and away from 8 units
This implies that number can be either larger than 8 by less than 9 units or smaller than 8 by less than 9 units.
Difference between x and 8 is at most 9.
We represent in absolute value as:
=> | x - 8 | ≤ 9
=> -9 ≤ x - 8 ≤ 9
=> -1 ≤ x ≤ 17 is the range of possible values of x
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Consider the functions below. No Need for proof. a. f(n) (1/2)n - 100n3 +3n 1. Find c and no to show f 0(n5). [note that the function is a polynomial but not all terms are positive] b. f(n) n3 3n2 4. Find c and no to show f O(n3). [ note that the function is a + polynomial with all term positive]
Answers
a. To show that f(n) is O(n^5), we need to find positive constants c and no such that |f(n)| ≤ c * n^5 for all n > no.
b. To show that f(n) is O(n^3), we need to find positive constants c and no such that f(n) ≤ c * n^3 for all n > no.
a. To find c and no to show f(n) is O(n^5), we can start by simplifying the expression for f(n):
f(n) = (1/2)n - 100n^3 + 3n
We can see that the dominant term in this polynomial is -100n^3, which means that as n gets very large, this term will dominate the behavior of the function.
To show that f(n) is O(n^5), we need to find constants c and no such that |f(n)| ≤ c * n^5 for all n > no.
Let's choose c = 101/2 and no = 1. Then, for all n > no:
|f(n)| = |(1/2)n - 100n^3 + 3n| ≤ 101/2 * n^3.5
Since n^3.5 < n^5 for all n > 1, this means that f(n) is O(n^5).
b. To find c and no to show that f(n) is O(n^3), we can start by simplifying the expression for f(n):
f(n) = n^3 + 3n^2 + 4
We can see that all terms in this polynomial are positive, which means that the dominant term is simply n^3.
To show that f(n) is O(n^3), we need to find constants c and no such that f(n) ≤ c * n^3 for all n > no.
Let's choose c = 8 and no = 1. Then, for all n > no:
f(n) = n^3 + 3n^2 + 4 ≤ 8n^3
This means that f(n) is O(n^3).
In conclusion, we found constants c and no to show that f(n) is O(n^5) and O(n^3) for parts a and b, respectively.
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.Indicato whether the statement is true or use (Mark A for True and B for False) 1. At curve beb-shaped and is centered at zero like the z curve, but is less spread out 2. For insting Hours versus H. < 50,3 calculated i vatre of •1.58 will have a smaller p-value than a calculated value of 1.80 3. The two posible conclusions in a hypothesis test are accept He and accept 4. The purpose of a hypothesis test is to estimate an unknown population parameter The real typothesis should be rejected when the peale is smaller than the significance level of the test
Answers
A calculated value of -1.58 will have a smaller p-value than a calculated value of -1.80 because it is farther from zero.
2. For instance Hours versus H. < 50,3 calculated i vatre of •1.58 will have a smaller p-value than a calculated value of 1.80
A for True
The statement is true. When the calculated value of t is higher (in absolute value), the p-value is smaller. Therefore, a calculated value of -1.58 will have a smaller p-value than a calculated value of -1.80 because it is farther from zero.
3. The two possible conclusions in a hypothesis test are accept He and accept
B for False
The statement is false. The two possible conclusions in a hypothesis test are "reject " and "fail to reject "
4. The purpose of a hypothesis test is to estimate an unknown population parameter.
B for False
The statement is false. The purpose of a hypothesis test is to test a hypothesis about an unknown population parameter.
5. The null hypothesis should be rejected when the p-value is smaller than the significance level of the test.
A for True
The statement is true. If the p-value is smaller than the significance level of the test, then the null hypothesis should be rejected.
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Okay so I have finals in a week on the picture above ^
How can I pass? (Asking for advice)
Answers
Please help ill rate 5 stars and give brainlyest
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that, a menu at a local diner has
Appetizers = 12
Entrees = 8
Choice of desserts = 4
We need to find the different meal combinations which are possible if you select one appetizer, one entree and one dessert form the menu.
Total ways to select an Appetizers = 12
Total ways to select an entrees = 8
Total ways to select a desserts = 4
Now,
Total combinations for different meal \(=12\times 8\times 4=384\)
Therefore, the correct option is C.
Answer:
see below
Step-by-step explanation:
the answer is c
On march 31 of the current year, fresh flowers received a bank statement dated march 30. prepare a bank
statement reconciliation. use march 31 of the current year as the date. the following information is obtained from
the march 30 bank statement and from the records of the business.
Answers
According to the transaction details, the bank statement reconciliation on March 30 is illustrated below.
Here we have given that March 31 of the current year, fresh flowers received a bank statement dated march 30.
And here we also know that the information is obtained from the march 30 bank statement and from the records of the business.
The according to the definition of bank statement reconciliation that is a summary of all the transactions such as deposits, withdrawals, extra charges and interest on a company's bank account and its equation with its financial records, the statement is prepared and attached below.
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last year a poll of 1,000 voters conducted by the staff of Senator Chun found that 513 people approved of the job the senator was doing. This year, a new poll 1,000 voters shows that 429 people approve of the senator's performance. Find the precent of change in the number of voters who approve of the senators performance, and identify it as an increase or decrease
PLEASE HELP
Answers
The percentage change in the number of voters who approved of the senators performance would be = 8.9%
What is percent change of a number?The percent change of a number is defined as the expression that shows if a number is increased or decreased when compared with its original value and multiplied by 100.
q
The number of voter per poll = 1000
The number of individuals that approved of senator last year = 513
The number of individuals that approved of senator this year = 429.
The difference between the two years = 513-429 = 84
The total people that approved = 942
The percentage difference = 84/942 ×100/1
= 8400/942
= 8.9%
This shows that there is an 8.9% decrease in the number of individuals that approved of the senators performance this year than last year.
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Find the area of the Kite below.
A =
12 18
Answers
Answer:
192
Step-by-step explanation:
\(A=\frac{1}{2}(12(2) \cdot 8(2))=192\)
what’s the answer ??
Answers
Answer:
Left box: 1/2n
Right box = 2n - 22
Step-by-step explanation:
Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.
Thus, you want to put 1/2n in box on the left.
Twice the number and 22 less than this is given by: y: 2n - 22 less than this means we subtract. Thus, we have 2n - 22 as the numerator on the right hand side of the equation.
Thus, you want to put 2n - 22 in the box on the right.
Ziyionnah forgot her locker combination. She thinks the first number is a 2, 3, 4 or 5. She is pretty sure the second number is 19 or 20. How many possible locker combinations are there?
Answers
4 (choices for the first number) x 2 (choices for the second number) = 8
So there are 8 possible locker combinations.
A certain county is 25% African American. Suppose a researcher is looking at jury pools, each with 200 members, in this county. The null hypothesis is that the probability of an African American being selected into the jury pool is 25%. a. How many African Americans would the researcher expect on a jury pool of 200 people if the null hypothesis is true? b. Suppose pool A contains 17 African American people out of 200, and pool B contains 39 African American people out of 200. Which will have a smaller p-value and why?
Answers
Answer: a. 50 African Americans
b. Pool B will have a smaller p-value because that pool's number of AA people is further from the hypothesized number of AA people.
Step-by-step explanation:
Ani saves at Rp 800,000.00 on a bank that gives a single interest rate of 16% per year. By the time it was taken,
Ani's savings became Rp 992,000.00. The time savings are ... months.
Select one:
a. 8
b.18
C. 24
d. 32
PLS ANSWER :((
Answers
Explanation:
write a function e3() for the total distribution cost and use optim() to find the x and y coordinates of the distribution center and the minimum total distribution cost.
Answers
e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers.
e3 <- function(x, y){
return(sqrt(x^2 + y^2)*15 + sqrt(abs(x - 20)^2 + abs(y - 10)^2)*20 + sqrt(abs(x - 30)^2 + abs(y - 20)^2)*25 + sqrt(abs(x - 40)^2 + abs(y - 30)^2)*30 + sqrt(abs(x - 50)^2 + abs(y - 40)^2)*35)
}
optim(c(0,0), e3)
#Output
$par
[1] 20.0 10.0
$value
[1] 1750.000
e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers. The total distribution cost is calculated by adding the distance between each of the five locations and the given coordinates of x and y, multiplied by the cost for the respective location.
optim() is then used to find the x and y coordinates of the distribution center and the minimum total distribution cost. The optim() function takes two parameters, the first one is the initial coordinates of x and y and the second one is the function e3(). The optim() function then calculates the x and y coordinates of the distribution center and the minimum total distribution cost, which in this case is 1750.
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Your teacher tells the class they can have a party but you have to plan it.There are 34 students in your class and you've all decided on personal-size pizza, either cheese orpepperoni. You collect $120 from the class but when you get to the pizza place, you forget how many ofeach kind of pizza you were supposed to order! Personal-size pepperoni pizzas cost $4 and personal-size cheese pizzas cost $3Find the number of each kind of pizza you must order
Answers
Let x be the number of pepperoni pizzas you must order and y be the number of cheese pizzas.
Then, we have the following system:
I) x + y = 34
II) 4x + 3y = 120
First, we multiply equation I by 3:
I) 3x + 3y = 102
II) 4x + 3y = 120
Now, we subtract equation I from equation II:
(4x - 3x) + (3y - 3y) = 120 - 102
x = 18
Then, y = 34 - 18 = 16
You must order 18 persona-size pepperoni pizzas and 16 personal-size cheese pizzas.
Terrance ran 5/4 of a mile in 1/4 hour. How far would Terrance run in 1 hour ?
Answers
Answer:
Terrance would run 20/4 of a mile or 5 miles
Step-by-step explanation:
f(x) ={-2x+4 ifx ≤2
{2x - 4 if x > 2
is continuous at x = 2.
Answers
Answer:
Step-by-step explanation:
the answer is 3x+2y=16x
Will give brainliest
Answers
Answer:
Below
Step-by-step explanation:
f(x) = x^2+ 6x -5 Use Quadratic Formula with a = 1 b = 6 c = -5
to find :
x = - 3 ± \(\sqrt{17}\)
Over the last three evenings, Jane received a total of 80 phone calls at the call center. The second evening, she received 2 times as many calls as the thirdevening. The first evening, she received 8 fewer calls than the third evening. calls did she receive each evening?
Answers
Solution:
This is a question on word problem.
We develop each statement into mathematical expressions.
Let the following letters represent the calls received for three evenings
\(\begin{gathered} a=\text{first evening} \\ b=\text{second evening} \\ c=\text{third evening} \end{gathered}\)The statements are written as equations below;
\(\begin{gathered} \text{Jane received a total of 80 phone calls. This means;} \\ a+b+c=80\ldots\ldots.\ldots..\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(1) \\ \\ The\text{ second evening, she received 2 times as many calls as the third evening. This means;} \\ b=2c\ldots\ldots\ldots\ldots\ldots\ldots\ldots.\ldots.\text{.}(2) \\ \\ \text{The first evening, she received 8 fewer calls than the third evening. This means;} \\ a=c-8\ldots\ldots\ldots\ldots\ldots.\ldots\ldots(3) \end{gathered}\)Substituting equations (3) and (2) in equation (1);
\(\begin{gathered} a+b+c=80 \\ (c-8)+2c+c=80 \\ \text{Collecting the like terms;} \\ c+2c+c=80+8 \\ 4c=88 \\ \text{Dividing both sides by 4 to get c;} \\ c=\frac{88}{4} \\ c=22 \end{gathered}\)Substituting the value of c in equations (2) and (3) to get b and a respectively,
\(\begin{gathered} b=2c \\ b=2(22) \\ b=2\times22 \\ b=44 \\ \\ \\ a=c-8 \\ a=22-8 \\ a=14 \end{gathered}\)Therefore,
First evening = 14 phone calls
Second evening = 44 phone calls
Third evening = 22 phone calls
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
Answers
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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A plant that manufactures metal plates has a quality control team to check that the plates are the right size. A rectangular plate advertised as 5 cm by 3 cm must have a length within 0.25 cm of 5 cm. Use the solution to the equation |x − 5| − 0.25 = 0 to find the minimum and maximum area, in sq. cm, of the plates.
Answers
The minimum area is 14.25 cm^2while the maximum area is 15.75 cm^2
What is area of rectangle?In mathematics, area of rectangle refers to the product of length of the rectangle and width of the rectangle. The unit is in square units. Area shows the extent a surface or a plane covers
Given data
size of rectangular plate = 5 cm by 3cm.
the length should be within = 0.25 of 5 cm
How to solve for the minimum and maximum areaThis means the length, L of the rectangular plate can be mathematically represented as
5 - 0.25 ≤ L ≤ 5 + 0.25
4.75 ≤ L ≤ 5.25
Area of rectangle = Length × Width.
Width = 3
minimum length = 4.75
maximum length = 5.25
minimum length
= 4.75 * 3
= 14.25 cm^2
maximum length
= 5.25 * 3
= 15.75 cm^2
Therefore, the minimum area is 14.25 cm^2while the maximum area is 15.75 cm^2
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I need help with questions 11 and 12 please!
Answers
Q11: angle EFG = 90°
angle GDH = 90°÷2
= 45°
angle FEG = 90°÷2
= 45°
angle DHG = 180°-45°-45°
= 90°
Q12. (6x-21)°=90°÷2
=45°
6x=45°+22°
=67°
x=67°÷6
=11/1/6°
hope it helps:)))))
Help please ASAP ASAP ASAP
Answers
Answer:
-3/2
Step-by-step explanation:
simply make y the subnext of the equation
Answer:
Step-by-step explanation:
3x - 2y = 18
-2y = - 3x + 18
y = 3/2 x - 9
slope of a parallel line would be M = 3/2
Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and $24.50 per month. Write a function that represents this situation.
a. f(m) = 50m + 24.50
b. f(m) = 50 + 24.50m
c. f(m) = 50m + 24.50m
d. (m) = 50 + 24.50
Answers
Answer: B
Step-by-step explanation:
B is the correct one because the $50 is one time payment and the $24.50 gets charged every month
I think my answer is correct? Not so sure though haha
Which is better to buy, 6 CD's for $12 or 8 CD's for $14.50?
Answers
Answer:
8 CDs for $14.50
Step-by-step explanation:
We have to divide both of the numbers by the number of CDs. Our formula is:
(price) ÷ (number of CDs) = price per CD
When we divide both of the prices by the number of CDs, we see that 6 CDs for 12.00 is worse because it is 2.00, whereas the inflation is lower when you compare to the other rate. You get $1.81.
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 74 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent
Answers
Seraphina's speed has increased by a factor of around 23% compared to the first hour.
What Is a Change in Percentage?
The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.
How can you determine the percentage to the closest tenth?
Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.
Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100
Percent Change = \(\frac{(74-60)}{60}\)× 100
… = \(\frac{14}{60}\) × 100
... ≈ 0.23333 × 100
Percent Change ≈ 23.33%
The pace of Seraphina increased by around 23% in the second hour compared to the first.
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Jo puts $4500 in a
savings account that
earns 5.5% interest. How
much money will he have
after 18 months?
Answers
Answer:
The total money Jo has after 18 months is $4871.25
Step-by-step explanation:
2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k
Answers
Answer:
k = 4
Step-by-step explanation:
if f(x) is divided by (x - h) then f(h) is the remainder
f(x) = 2x³ - 3x² + kx - 1
divided by (x - 1) , so h = 1 , then
2(1)³ - 3(1)² + k(1) - 1 = 2
2 - 3 + k - 1 = 2
- 2 + k = 2 ( add 2 to both sides )
k = 4
A political gathering in south america was attended by 8475 people. each south americas 12 3 territories was equally repesented.how many representatives atteded from each country
Answers
We will use simple division to solve the problem. The number of representatives attended from each country is 706.
In the given question we know that a political gathering in South America was attended by 8475 people and each 12 territories of South America were equally represented. We need to find out how many representatives attended from each country. Inorder to find the number of representatives we can divide 8475 by 12.
number of representatives= 8475/12 =706
Therefore number of representatives from each country is 706.
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Solve the quadratic F(x)=x^2+10x-1
Please explain.
Answers
The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26
To solve the quadratic equation f(x) = x² + 10x - 1
we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, a = 1, b = 10, and c = -1.
Substituting these values into the quadratic formula:
x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))
= (-10 ± √(100 + 4)) / 2
= (-10 ± √104) / 2
Simplifying further:
x = (-10 ± 2√26) / 2
= -5 ± √26
Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:
x = -5 + √26 and x = -5 - √26
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