A group of observations measured at successive time intervals is known as a(n) time series. So, correct option is C.
A time series is a collection of observations or measurements that are taken at regular intervals over time. These observations can be of any variable that changes over time, such as stock prices, weather patterns, or population growth. Time series analysis is a statistical technique used to understand and interpret the patterns and trends in such data.
The data in a time series can be analyzed to identify trends, seasonal variations, and other patterns that may exist over time. These patterns can be used to develop forecasts and make predictions about future values of the variable being measured.
On the other hand, an additive time series model is a specific type of model used to analyze time series data. It involves decomposing a time series into its underlying components, such as trend, seasonality, and random fluctuations, and modeling each component separately.
This approach can help to improve the accuracy of forecasts and predictions based on the time series data.
In summary, a time series is a collection of observations measured at successive time intervals, while an additive time series model is a specific type of statistical model used to analyze and forecast time series data.
Therefore, Option C is correct answer.
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Write the equation of a circle whose diameter has endpoint (-3,0) and (3,0).
The equation of the circle is with the diameter given is x² + y² = 9.
What is equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.
We can quickly determine the circle's centre and radius thanks to this form. We must first square the x and y terms before rearranging the components in order to transform a circular equation into standard form.
The endpoints of the diameter is (-3,0) and (3,0).
Now, using the section formula the coordinates of radius are:
((-3+3)/2, (0+0)/2) = (0,0
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.
Substituting the values:
(x - 0)² + (y - 0)² = 3²
Hence, the equation of the circle is x² + y² = 9.
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Please I need help!!!
Answer:
The constraints are:
Plot the graphs of the constraints
From the graph (see attachment), the only optimal point is (3,4)
Substitute 3 for x and 4 for y in the objective function.
So, we have:
Hence, the maximum value of C is 17
Step-by-step explanation: Hope this helps!!!
Using the identity sin² 0 + cos² 0 = 1, find the value of cos 0, to the nearest
3T
hundredth, if sin 0 = -0.31 and ³ < 0 < 2π.
Using the identity sin² 0 + cos² 0 = 1, the value of cos 0 is 0.951 (to the nearest hundredth)
how to find the value of cos 0 using he identity sin² 0 + cos² 0 = 1Using the identity sin² 0 + cos² 0 = 1, we can solve for cos 0:
cos² 0 = 1 - sin² 0
cos² 0 = 1 - (-0.31)²
cos² 0 = 1 - 0.0961
cos² 0 = 0.9039
Taking the square root of both sides, we get:
cos 0 ≈ ±0.951
Since 0 is in the interval ³ < 0 < 2π, we know that cos 0 must be positive. Therefore, to the nearest hundredth, cos 0 ≈ 0.95.
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if n is the product of all multiples of 3 between 1 and 100, what is the greatest integer m for which is an integer?
The greatest integer m for which n is an integer is 40.
This is because the product of all multiples of 3 between 1 and 100 (n) is equal to the product of all integers from 3 to 99, which is equal to 3^39*2^20.
By using the prime factorization of n, we can see that the greatest integer m is equal to the sum of the exponents of the prime factors, which is 39 + 20 = 40.
To solve this problem, we must first factor n, which is the product of all multiples of 3 between 1 and 100. n can be expressed as a product of prime factors 3^39*2^20.
This can be further expressed as 3^39*2^20 = (3*2)^39*2^20 = 6^39*2^20. To find the greatest integer m for which n is an integer, we must add the exponents of the prime factors, which gives us 39 + 20 = 40. Therefore, the greatest integer m for which n is an integer is 40.
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PLEASE HELP!
Write a function that models the situation: a $4000 deposit earns a 2% annual interest compounded semiannually after t years.
A = P(1 + r/n)^(nt)
Where:
A = the amount of money after t years
P = the principal amount (in this case, $4000)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year (in this case, twice a year, so n = 2)
t = the number of years
Plugging in the given values, we get:
A = 4000(1 + 0.02/2)^(2t)
Simplifying, we get:
A = 4000(1.01)^2t
Therefore, the function that models the situation is:
A = 4000(1.01)^(2t)
Gina sees that there is a 30% chance of rain each day during her Spring Break. She ran 10 different simulations using a random number generator to find the probability that it would rain on at least two days during her Spring Break. In the table below, the digits 7, 8, and 9 represent a day with rain and 0 through 6 represent days with no rain.
PLEASE HELP FOR 20 POINTS
Answer:
88
Step-by-step explanation:
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2. The area of this trapezoid is 24.5 ft².
3 ft
4 ft
What is the height of the trapezoid? Write the formula first then SHOW YOUR WORK
Plssss I need the answer fasttttt
The height of the trapeziod is 7 feet
How to determine the height of the trapezoidThe formula used for calculating the area of a trapezoid is expressed with the equation;
A = (a + b)/2 h
Such that the parameters in the equation are;
A is the area of the trapezoid.a is the length of its base.b is the length of its base.h is the height of the trapezoid.Substitute the values, we have;
24. 5 = (3 + 4)/2 h
add the values
24. 5 = 7//2 h
Divide the values
24.5 = 2.5 h
Make 'h' the subject of formula by dividing both sides by 3.5, we get;
h = 24.5/3.5
h = 7 feet
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DUE TODAY PLEASE HELP!!!!! (MARCH 11TH) A sailboat travels 3 miles in 1.5 hours the table below shows the distance traveled by the boat at various times complete the table.
The table showing the distance traveled by the boat at various times should be completed as follows;
Time (h) 0 0.5 1 1.5 2 2.5 3
Distance (mi) 0 1 2 3 4 5 6
What is a proportional relationship?In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
k is the constant of proportionality.y represent the distance.x represent the time.Next, we would determine the constant of proportionality (k) for the data points contained in the table as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 3/1.5
Constant of proportionality, k = 2.
When x = 0.5, the distance is given by;
y = 2x
y = 2(0.5) = 1 mile.
When x = 1, the distance is given by;
y = 2x
y = 2(1) = 2 miles.
When x = 2, the distance is given by;
y = 2x
y = 2(2) = 4 miles.
When x = 2.5, the distance is given by;
y = 2x
y = 2(2.5) = 5 miles.
When x = 3, the distance is given by;
y = 2x
y = 2(3) = 6 miles.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
1 halves of a cupcake for my self 2 halves for my friend and 5 halves for our other friend
what is x - 3 = 21? show your wok
Answer: x = 24
Step-by-step explanation:
21 + 3= 24
In need of help fast
Answer:
Step-by-step explanation:
9to12
dr. smith analyzed the types of information sources used by their students in their literature reviews. all the charts and graphs below depict this data, but which is the best one to represent this data?
suppose you draw a card from the deck, put it aside without looking at it, and draw another card. what is the probability that the second card is an ace?
The probability of drawing a second card as an ace after drawing one card and putting it aside without looking at it depends on the outcome of the first draw and whether the card was replaced or not.
The possibility of drawing an ace from a general deck of 52 playing cards is 4/52, or 1/13. But, the probability of drawing an ace as the second card relies upon whether or not the first card drawn turned into an ace or now not, in addition to whether the first card was replaced lower back into the deck or no longer.
If the primary card becomes an ace and it was now not replaced, then there are only three aces left inside the deck out of fifty-one cards, so the opportunity of drawing another ace as the second card could be 3/51.
However, if the primary card becomes an ace and it is turned into changed, then the opportunity of drawing any other ace as the second one card would nonetheless be 4/52, or 1/13 because the deck could be efficiently reset.
Then again, if the primary card was now not an ace, then there might be 4 aces left inside the deck out of fifty-one cards. Consequently, the opportunity of drawing an ace as the second card could be 4/51.
In precis, the opportunity of drawing a 2nd ace from a well-known deck of cards could rely on the outcome of the primary draw and whether the cardboard was replaced or no longer.
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you have one type of chocolate that sells for $2.50/lb and another type of chocolate that sells for $3.90/lb. you would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb. how much of each chocolate will you need to obtain the desired mixture?
You need 1.8 lbs of the type of chocolate that sells for $2.50/lb and 6.6 lbs of the type of chocolate that sells for $3.60/lb.
A set or group of equations that are solved collectively is referred to as a system of equations. Both algebraic and visual solutions are possible for these problems. The intersection of two lines represents the system of equations' solution.
let
x = lbs of the type of chocolate that sells for $2.50/lb
y = lbs of the another type of chocolate that sells for $3.90/lb
You would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb
x + y = 8.4
2.50x + 3.90y = 8.4 x 3.60
2.50x + 3.90y = 30.24
Putting the value of x = 8.4 - y in equation 2.
2.50( 8.4 - y) + 3.90y = 30.24
21 - 2.5y + 3.9 y = 30.24
1.4y = 9.24
y = 6.6
Putting y in x equation we get,
x = 1.8
by solving the above system of equations we find:
x = 1.8 lbs
y = 6.6 lbs
Therefore, each chocolate will you need to obtain the desired mixture is 1.8 lbs and 6.6 lbs.
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John, Glenn, and Brian often eat out together.1. Each person orders either coffee or tea.2. If John orders coffee then Glenn orders the drink that Brian orders.3. If Glenn orders coffee, John orders the drink that Brian doesn't order.4. If Brian orders tea then John orders the drink that Glenn orders.Based on the information which person orders the same drink every time.
Glenn orders the same drink every time. This can be answered by the Simple intelligence.
The logic behind this conclusion is as follows:
John orders coffee: In this case, Glenn must order the same drink as Brian. According to statement 2, if John orders coffee, Glenn orders the drink that Brian orders. Therefore, Glenn's drink choice is dependent on Brian's choice and not consistent.Glenn orders coffee: In this case, John must order the opposite drink as Brian. According to statement 3, if Glenn orders coffee, John orders the drink that Brian doesn't order. Therefore, John's drink choice is also dependent on Brian's choice and not consistent.Brian orders tea: In this case, John must order the same drink as Glenn. According to statement 4, if Brian orders tea, John orders the drink that Glenn orders. However, Glenn's choice is not dependent on Brian's choice, so Glenn will always order the same drink. Therefore, Glenn is the only person who orders the same drink every time.
Therefore, Glenn orders the same drink every time.
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Find the surface area of a square pyramid with side length 2 cm and slant height 3 cm.
Answer:
16 cm²Step-by-step explanation:
The total surface area includes:
The square base with side of 2 cmFour triangle faces with base 2 cm and height 3 cmThe area is:
A = 2² + 4(1/2*2*3) = 4 + 12 = 16 cm²There are 12 boys and 12 girls in Ms. Mooney’s homeroom class. Ms. Mooney will randomly pick 1 student to take attendance today.
Which statement explains how to find the probability that Sara, a student from Ms. Mooney’s homeroom class, will be the student picked?
PLEASE HELP
Answer:
There is a [tex]\frac{1}{24}[/tex] chance that Sara will be picked.
There is a 4.16% chance that Sara will be picked.
Step-by-step explanation:
there are 12 boys + 12 girls in Mooney's class => 24 total students
Sara is ONE out of those students
Sara is [tex]\frac{1}{24}[/tex].
[tex]\frac{1}{24}[/tex] as a percent is 4.16%.
A window is 150cm wide and 90cm high what is the area of the window in square metres
There was a girl named Ashley and her friend ava. They decided to go to the park and ava got apples also Ashley brought . Ashley bought 5 times more than ava how much will it be?
For 10 points Easy!
Answer:
the amswer is five apples
A local store charges $1.97 per pound for bananas and $4.49 for a gallon of apple juice what is the cost of 1.5 lb of bananas and 1 gallon of apple juice
The expense of 1.5 lbs of bananas and 1 gallon of apple juice, according to the provided statement, is $7.45.
What does arithmetic multiple mean?Multiplication is one of the four basic operations in mathematics, along with adding, subtracting, and division. Multiply in mathematics refers to the continual adding of sets of identical size.
The cost of 1.5 lb of bananas can be found by multiplying the price per pound by the number of pounds:
Cost of 1.5 lb of bananas = 1.5 x $1.97 = $2.96 (rounded to the nearest cent)
The cost of 1 gallon of apple juice is $4.49.
So, the total cost of 1.5 lb of bananas and 1 gallon of apple juice is:
Total cost = Cost of bananas + Cost of apple juice
Total cost = $2.96 + $4.49
Total cost = $7.45
Therefore, the cost of 1.5 lb of bananas and 1 gallon of apple juice is $7.45.
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There were 5,000 visitors to a zoo on Saturday. Every 20th visitor was asked about their favorite attraction at the zoo. The results of the sample were as follows:
15% responded safari
20% responded aquarium
25% responded panda bears
40% responded no favorite
What conclusion about the visitors who attended the zoo on Saturday is BEST supported by the results of the sample?
A
No generalization can be made, because the sample is random.
B
A majority of visitors liked the panda bear attraction the best.
C
No generalization can be made, because the sample is not random.
D
A majority of visitors had a favorite attraction.
so, the BEST supported conclusion is option D: "A majority of visitors had a favorite attraction."
What is percentage?Percentage is a way of expressing a number as a fraction of 100. The symbol used to represent percentage is "%". For example, if we say that 75% of students passed a test, it means that 75 out of every 100 students passed the test.
To calculate a percentage, you can use the following formula:
[tex]percentage = (part/whole) * 100[/tex]
Here, "part" refers to the number that is being expressed as a percentage of the "whole" number. For example, if we want to find out what percentage of 80 is 20, we can use the formula as follows:
percentage = (20/80) x 100 = 25%
So, 20 is 25% of 80.
According to the results of the sample, 40% of the visitors responded that they had no favorite attraction, while the remaining 60% did have a favorite. Among those who had a favorite attraction, the percentages for each attraction were: 15% safari, 20% aquarium, and 25% panda bears. Therefore, no conclusion can be made about which attraction was the most popular among all visitors. However, it is possible to conclude that a majority of visitors (60%) had a favorite attraction, so the BEST supported conclusion is option D: "A majority of visitors had a favorite attraction."
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Dylan has $20.00 on his gift card. After some purchases, he has $0.06 remaining on his gift card. Dylan has _____% of the original amount remaining on the gift card.
Answer:
Step-by-step explanation:
To find the percentage of the original amount that Dylan has remaining on his gift card, we can divide the remaining amount by the original amount and then multiply by 100 to express it as a percentage.
The original amount on the gift card was $20.00, and the remaining amount is $0.06, so the percentage of the original amount that Dylan has remaining on his gift card is:
($0.06 ÷ $20.00) x 100% =
0.003 x 100% =
0.3%
Therefore, Dylan has 0.3% of the original amount remaining on his gift card.
Geometric mean between 15 and 20
Answer: it should be 17.5
15+20 = 35
35/2 = 17.5 -----> mean of the two numbers
Solve the triangle by finding all missing sides
and angles.
Answer:
b = 12 units
Step-by-step explanation:
In a right angled triangle,
Base² + Perpendicular² = Hypotenuse²
b² + 16² = 20²
b² = 20² - 16²
b² = 400 - 256
b² = 144
b = √144
b = 12 units
Based on the data in the graph, which of the following solutions most likely led to the decrease in the amount of waste sent to landfills from 1990 to 2015 ?
A) Increased composting of domestic waste
B) Increased composting of e-waste
C) Increased combustion of waste
D) Increased recycling of waste
It would be: D) Increased recycling of waste
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Polygon WXYZ is dilated by a scale factor of 3 with vertex W as the center of dilation, resulting in polygon W’X’Y’Z’. The coordinates of point ware (3,2), and the coordinates of point X are (7,5).
So the coordinates of point X' after dilation are (15, 11).
Polygon WXYZ is dilated by a scale factor of 3, with vertex W as the center of dilation. This means that the distances from vertex W to the other vertices are multiplied by 3, while W remains unchanged. Given the coordinates of point W are (3,2) and point X are (7,5), we can find the coordinates of point X' after dilation.
To do this, first determine the change in the x and y coordinates from point W to point X:
Δx =[tex]7 - 3 = 4\\[/tex]
Δy =[tex] 5 - 2 = 3[/tex]
Now multiply these changes by the scale factor of 3:
Δx' =[tex] 4 * 3 = 12[/tex]
Δy' =[tex] 3 * 3 = 9[/tex]
Now add these new changes to the original coordinates of point W to get the coordinates of point X':
X'(x) =[tex] W(x) + Δx' = 3 + 12 = 15[/tex]
X'(y) = [tex]W(y) + Δy' = 2 + 9 = 11[/tex]
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A cylinder has a height of 15 in and a radius of 9 in. Round to the nearest tenth
From the given information provided, the surface area and volume of cylinder is 1130.97 and 3816.85 respectively.
To find the surface area and volume of the cylinder, we can use the following formulas:
Surface Area = 2πr² + 2πrh
Volume = πr²h
Substituting the given values, we get:
Surface Area = 2π(9)² + 2π(9)(15) = 1130.97 square inches (rounded to the nearest tenth)
Volume = π(9)²(15) = 3816.85 cubic inches (rounded to the nearest tenth)
Therefore, the surface area of the cylinder is approximately 1130.97 square inches, and the volume is approximately 3816.85 cubic inches, both rounded to the nearest tenth.
Question - A cylinder has a height of 15 in and a radius of 9 in. Find area and volume. Round to the nearest tenth.
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diego wants to package all 48 brownies and 64 cookies so that each bag has the same combination of items. how many bags can he make, and how many of each will be in each bag? determine at least one way to package both items.
Diego can make 56 bags with each bag containing 8 brownies and 12 cookies.
To package both items, he can divide the items into groups of 8 brownies and 12 cookies. He will then make 56 of these groups, ensuring each bag contains 8 brownies and 12 cookies.
Diego has 48 brownies and 64 cookies to package. To make the same combination of items in each bag, he needs to group the items into groups of 8 brownies and 12 cookies.
This can be done by dividing the 48 brownies into 6 groups of 8, and the 64 cookies into 5 groups of 12. He then needs to combine these two groups together, making 56 total bags.
Each of these bags will contain 8 brownies and 12 cookies. This is one way of packaging both items so that each bag has the same combination.
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in a marketing study, 100 consumers were asked to select the best digital music player from the ipod touch, sony walkman, and the zune hd. to summarize the consumer responses with a frequency table, how many classes would the frequency table have?
The frequency table would have three classes, one for each digital music player option.
When summarizing the consumer responses with a frequency table, the frequency table would have 3 classes.
Frequency table:
A frequency table is a statistical tool that is used to organize raw data in a clear and concise manner.
It is a way of representing the information contained in the data so that it can be easily interpreted and analyzed.
A frequency table is often used to summarize categorical data, such as the data collected in a marketing study like the one mentioned in the question.
The marketing study in this question involved asking 100 consumers to select the best digital music player from three options:
the iPod Touch, Sony Walkman, and Zune HD.
To create a frequency table from this data, we would need to count the number of times each option was chosen by the consumers.
This can be done by grouping the data into classes, which are categories that are created based on the values in the data.
For this particular study, there are only three options to choose from, so there are only three possible classes:
iPod Touch, Sony Walkman, and Zune HD. We would simply count the number of times each option was chosen and record it in the appropriate class.
The resulting frequency table would look something like this: Digital Music Player Frequency i Pod Touch 45 Sony Walkman 28 Zune HD27
Total 100
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A study on the behavior of customers of a certain shoe brand estimates that 40% of their customers wear the shoes that they bought right after paying for them. To test this hypothesis, the company observed random a sample of 100 customers and found that 37% do wear the shoes bought right after paying for them. At alpha equal to 0. 01, is there enough evidence to reject the claim?
At alpha equal to 0.01 there is enough evidence to reject the claim that is the chance of a false positive.
When reducing the alpha from 0.05 to 0.01 reduces the chance of a false positive also called a Type I error, it makes it harder to detect differences with a t-test and with any significant results one might obtain would be more trustworthy but there would probably be less of them.
We know that:
probability > 0.1: no evidence,
then, probability between 0.05 and 0.1: weak evidence
then, probability between 0.01 and 0.05: evidence
then, probability between 0.001 and 0.01: strong evidence
and probability < 0.001: very strong evidence
The alpha level set relates to the formal decision made rather than this informal interpretation, but both can be reported together.
Lower alpha levels are sometimes used while carrying out multiple tests at the same time and a common approach is to divide the alpha level by the number of tests being carried out.
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