In contrast to the fact that almost all time series contain a random component, certain time series do not.
A TIME SERIES IS WHAT?
A time series is a group of observations of clearly defined data points produced over time via repeated measurements. A time series would include, for instance, calculating the amount of retail sales for each month of the year. This is due to the well defined and regular measurement of sales income at uniformly spaced intervals. Time series data are not those that are irregularly or once collected.
Three parts can be separated out of a time series observation: the trend (long-term direction), the seasonal (systematic, calendar-related motions), and the irregular (unsystematic, short term fluctuations).
In mathematics, a time series is a collection of data points that have been indexed chronologically.
A time series is typically a sequence that was recorded at a number of evenly spaced points in time.
It is therefore a set of discrete-time data.
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If 45% of a number is 36, what is the number?
Answer:
The number is 28.35
Step-by-step explanation:
45% of 36
[tex]\frac{x*y}{100}[/tex]
= [tex]\frac{45*36}{100}[/tex]
= [tex]\frac{2835}{100}[/tex]
= 28.35
Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour. How many pages can Shawn type in one hour? A. B. C. D.
Answer:
5 1/7 pages in one hour. And what does "A.B.C.D." Mean?
Step-by-step explanation:
Determine if you have enough information to find the missing lengths. If so, find them. If not, explain why.
DE is parallel to AC . Find the lengths of AC and AD.
The lengths of AC and AD using the concept of similar triangles are; AC = 12.5 and AD = 3
How to solve similar triangles?We are given that;
∆BDE is a similar triangle to ∆BAC.
This means that their sides are proportional. Thus, we can say that;
BD/BA = BE/BC
Thus;
2/BA = 4/(6 + 4)
BA = 2 × 10/4
BA = 5
Similarly;
BE/BC = DE/AC
4/10 = 5/AC
AC = 5 × 10/4
AC = 25/2
Finally,
AC = 25/2 = 12.5.
Thus;
AD = BA - BD = 5 - 2 = 3.
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1. (xa – 1)3(xa – 4)-2
Answer:
3x2a2-15xa+10
Step-by-step explanation:
if kenneth has 11 dimes and nickels in his pocket, and they have a combined value of 80 cents, how many of each coin does he have?
Answer: let d=# of dimes
let n= # of nickels
n+d=11
5n+10d=80
5d+25
5 dimes and 6 nickels
Choose the correct statements (You may select more than one answer. Click the box with a check mark for the correct answer and click to empty the box for the wrong answer.) A random variable is a quantitative outcome of a chance experiment. A probability distribution includes the likelihood of each possible outcome. A probability distribution is the outcome of an experiment. A random variable represents the likelihood of an outcome.
A random variable is a quantitative outcome of a chance experiment.
A probability distribution includes the likelihood of each possible outcome.
A random variable is a variable whose value is determined by chance or randomness. It is often used to represent a numerical outcome of a chance experiment, such as the result of a coin toss, the roll of a die, or the outcome of a survey. Random variables can take on any numerical value, but it is often useful to assign probabilities to each possible value. This probability, known as a probability distribution or probability density function, describes the likelihood that a given value of the random variable will occur.
A normal distribution is a type of probability distribution that is symmetrical and bell-shaped, with the mean, median, and mode all equal. The values of the distribution are spread out around the mean, with the majority of the values within one standard deviation of the mean. A normal distribution is also known as a Gaussian distribution, as it was discovered by Carl Friedrich Gauss in the early 19th century.
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3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees. In the diagram, what is the measure of AngleWRS? 5° 7.5° 25° 37.5°
The measure of ∠WRS is 25°.
What is meaning of intersect point?
A graph intersection is a location where two or more graphs meet. It is a point that is the answer to an equational system. The intersection of two curves is the sole application of the TI series.
Given the points on a line are T, R, W.
The points on another line are V, R, S.
Both lines intersect at R.
Then another line that extends from point R to point Z between ∠VRW.
The angle ∠VRT is 5x° and the angle ∠TRS is (25x + 30)°.
∠VRS is a linear angle means ∠VRS = 180°.
Again,
∠VRS = ∠VRT + ∠TRS
Putting the value of ∠VRS, ∠VRT, ∠TRS
180° = 5x° + (25x + 30)°
180 = 30x + 30
Subtract 30 from both sides:
150 = 30x
Divide both sides by 30:
x = 5.
∠WRS is vertically opposite angle of ∠VRT.
Therefore ∠WRS = ∠VRT = 5x° = (5×5)° = 25°
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2. sophia is considering buying a dress and a necklace. the probability she will buy a red dress is 0.2, and similarly, it is 0.4 for a blue dress. there is a 10% chance she will buy a necklace. she wants to buy at most one dress, and buying a necklace is independent of buying a dress find the probability she buys at least one of the previous items. assume event a: she buys a red dress; event b: she buys a blue dress; event c: she buys a necklace.
Therefore the probability that she buys at least one of the previous items is 0.1333
What is probability ?The area of mathematics known as probability deals with numerical descriptions of the likelihood that an event will occur or that a statement is true .A number between 0 and 1 is the likelihood of an event, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes its certainty.
Given:
event A: she buys red dress.
event B: she buys a blue dress.
event C: she buys a necklace.
the probability she will buy a red dress is 0.2,
the probability she will buy a blue dress is 0.4
there is 10% chance she will buy a necklace =0.10
The probability she wants to buy at most one dress,
P(A or B or C) =0.2 +0.4 +0.1 -(0.08 -0.04 -0.02 +0.08)
P(A or B or C) =0.568
the probability she buys at least one of the previous items is
[tex]\frac{P(A or B or C)}{P(AorB andC)}[/tex] = [tex]\frac{0.2 * 0.1 * 0.4}{(0.2 * 0.1)+(0.1 *0.4)}[/tex]
[tex]\frac{P(A or B or C)}{P(AorB andC)}[/tex]= 2/15 =0.133
Therefore the probability that she buys at least one of the previous items is 0.1333
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to estimate the average cost of flowers for summer weddings in a certain region, a journalist selected a random sample of 15 summer weddings that were held in the state. a graph of the sample data showed an approximately symmetric distribution with no outliers. the sample mean and standard deviation were $734 and $102, respectively. the journalist will create a 95 percent confidence interval to estimate the population mean. have all conditions for inference been met?
No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.
Based on the information provided, it was reported that a journalist chose a random sample of 15 summer weddings that were hosted in the state in order to determine the average cost of flowers for summer weddings in a particular region.Note that the Z test usually includes more than 30 samples. 15 samples were used in this instance.Because of this, it is not possible to assume the sampling distribution from the sample size.Learn more about sampling on:
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x^2+6x+1=0
solve using quadratic formula
The values of the x of the given equation [tex]x^{2} + 6x + 1 = 0[/tex] using quadratic formula is -10 and -2.
What is quadratic formula of a equation ?
The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula:
(-b±√(b²-4ac))/(2a)
Given equation;
[tex]x^{2} + 6x + 1 = 0[/tex]
Using quadratic formula
x = [tex]-b[/tex] ± [tex]\frac{\sqrt{(b^{2} - 4 (ac) } }{4a}[/tex]
Substitute the values a = 1, b = 6, c = 1, we get;
x = [tex]-6[/tex] ± [tex]\frac{\sqrt{( (6) ^{2} - 4. 1.1)} }{2*1}[/tex]
x = -6 ± 4
x = -6 - 4 & x = -6 + 4
= -10 = -2
x = -10, -2
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The expression 10x – x2
can be written in the form p – (x – q)2
for all values of x.
a) Find the values of p and q.
b) The expression 10x – x2
has a maximum value.
(i) Find the maximum value of 10x – x2
.
(ii) State the value of x for which this maximum value occurs.
The values of p and q, if Expression 10x – x² can be written as p – (x – q)² are 25 and 5.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Given:
Expression 10x – x²
The expression can be written as
10x – x² = p – (x – q)²
10x – x² = p - x² - q² + 2xq
10x – x² = - x² + 2xq + p - q²
Compare the quantities on both sides,
10x = 2xq and 0 = p - q², p = q²
q = 10x / 2x = 5
p = 5² = 25
Therefore, the values of p and q, if Expression 10x – x² can be written as p – (x – q)² are 25 and 5.
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40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the second exam also passed the first exam ? next
50%. students (in percent) who passed the second exam also passed the first exam.
Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.
Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.
Thus, both tests were passed by 40 of the 80 pupils who passed the second one:
40/80 = 1/2 = 50%.
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i need help, i don’t understand
Answer:
x = 2; y = 10
Step-by-step explanation:
y = 5x
2x + 3y = 34
You have a system of equations. Since the first equation is already solved for y, we can easily use the substitution method. Substitute 5x for y in the second equation.
2x + 3y = 34
2x + 3(5x) = 34
2x + 15x = 34
17x = 34
x = 2
Now substitute 2 for x in the first equation.
y = 5x
y = 5(2)
y = 10
Solution: x = 2; y = 10
find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe−x2/50, [−2, 10]
absolute maximum = 3.033
absolute minimum = -1.846
What are the absolute maximum and minimum?A point where the function achieves its highest value is known as an absolute maximum point. Similar to this, an absolute minimum point is the location at which the function's maximum value is obtained.
f(x) = x[tex]e^{-x^{2}/50 }[/tex] , [−2, 10]
f'(x) = x[tex]e^{-x^{2}/50 }[/tex] (-2x/50) + [tex]e^{-x^{2}/50 }[/tex] (1) = 0
-2[tex]x^{2}[/tex]/50 + 1 = 0
2[tex]x^{2}[/tex]/50 = 1
2[tex]x^{2}[/tex] = 50
[tex]x^{2}[/tex] = 25
x = +5 , -5
f(-2) = -2 [tex]e^{-2^{2} /50}[/tex] = -1.846
f(10) = 1.3353
f(5) = 3.033
absolute maximum = 3.033
absolute minimum = -1.846
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the parabolic cross section of an arch is 10 feet wide at ground level. write an equation that represents the cross section of the arch with its vertex at (0, 0) and its focus 0.5 foot below the vertex. what is the height of the arch?
The equation of an arch for the given parabolic cross section is
y = -2x² and its height is equal to 50 feet.
As given in the question,
Vertex of the parabola ( h , k ) = (0 , 0)
Focus is 0.5 foot below the given vertex.
Distance between focus and vertex 'a' = - 0.5
Standard equation of the parabola is given by:
( y - k ) = 4a ( x - h)²
Substitute the values we get,
( y - 0 ) = 4× (-0.5) ( x - 0)²
⇒ y = -2x²
Equation to represent the cross section of the given arch is
y = -2x²
Arch is 10 feet wide at ground level
⇒ x = 5 feet
Height of the arch is '( 0 - y)'
⇒ ( 0- y ) = 0 - 2(5)²
= 50 feet
Therefore , the equation and height of the arch for the given parabolic cross section is equal to y = -2x² and 50 feet respectively.
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Question included in file
please help I need an answer quick
The midpoint of the line AN is (3(1/2) , -1).
What is midpoint?
The midpoint is located halfway between the two end points. Its x and y values are in the middle of the two x and y values.Add both "x" coordinates, divide by 2, and add both "y" coordinates, divide by 2 to calculate it.Midpoint of the line(x , y) = (x₁ + x₂ / 2) , (y₁ + y₂ / 2)
x₁ = 2, x₂ = 5
y₁ = -3, y₂ = 1
So,
Midpoint of the line(x , y) = (2+5/2) , ((-3)+1 / 2)
= (7/2 , -2/2)
= (7/2, -1)
We can write 7/2 as 3(1/2)
Hence, the midpoint of the line AN is (3(1/2) , -1)
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2.4 liters of tea were equally distributed to 40 mugs. How many milliliters of tea were in each mug?
Here each tea mug has 60 milliliters of tea.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
2.4 liters of tea were equally distributed to 40 mugs.
2400 milliliter of tea.
So each tea mug has = 2400/40 = 60 milliliters of tea.
Hence, each tea mug has 60 milliliters of tea.
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help me find the slope please
answer needs to be correct or i will report and ban you.
thank you
-lazyuser30
the mayor of a town has proposed a plan for the annexation of a new community. a political study took a sample of 800 voters in the town and found that 63% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 60%. testing at the 0.02 level, is there enough evidence to support the strategist's claim? step 4 of 7 : determine the p-value of the test statistic. round your answer to four decimal places.
As per the concept of hypothesis testing, the p-value of the test static is 0.0837
Hypothesis testing:
In statistics, when the alternative hypothesis is of the "greater than or greater than or equal to" type, the p-value can be calculated by calculating the probability of the z statistic being greater than the test statistic value.
Given,
Here we have the mayor of a town has proposed a plan for the annexation of a new community. and the political study took a sample of 800 voters in the town and found that 63% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 60%. testing at the 0.02 level.
Here we need to find the p-value of the test statistic.
While we looking into the given question we have identified the following hypothesis,
=> H0 : p <=0.6
=> H1: p > 0.6
And the value of alpha=0.02 p{reject H0 | H0 true} test statistic is a z from a 1 way 1 proportion test
So, the z value is z> 7.1286
Then the z value is calculated as,
=> 0.03/sqrt(0.6*0.63/800)
=> z = 1.3801
Therefore, the reject H0, the true proportion is greater than 60% and the p-value is 0.0837
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an inequality shows the Relationship between numbers
The answer to this Question is YES. Inequalities do show the relation between Numbers.
What are Inequalities?
Inequalities are the operators the we want to compare the data when equality is not valid
Solution:
The Inequalities shows nice relation between numbers like when we say for example 2 and 4 we know that 2 is not equal to 4 but we know that
2 is less than 4 in this case inequalities help us to develop relations between numbers that are not equal
Inequalities are also used in inequations where they represents large set of data .
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Write the sum using summation notation. There may be multiple representations. Use i as the index of
summation.
1/3 - 1/9 + 1/27 - 1/81 + 1/243 - 1/729
The summation notation of the sum is given as follows:
[tex]\sum_{i = 1}^{6} \frac{(-1)^{i-1}}{3^i}[/tex]
How to write the summation notation?The summation notation of the sum is written considering the patterns of the terms that compose the terms.
First we look at the fact that the sum has six terms, and the first term is considered as having index 1, hence:
[tex]\sum_{i = 1}^{6}[/tex]
Then we consider that the signal is alternating, with the terms with odd indices being positive and those with even indices being negative, hence the numerator is of:
[tex](-1)^{i - 1}[/tex]
(any of -1 or +1 would work here).
Then we considering that the denominator is composed by the powers of 3, hence it is given by:
[tex]3^i[/tex]
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If m<1=55, then find the value of m<3
The measure of angle 3 is given as follows:
m < 3 = 55º.
What are vertical angles?Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.
The vertical angles in this problem are listed as follows:
1 and 3.2 and 4.The measure of angle 1 is given as follows:
m < 1 = 55º.
Angle 1 and angle 3 are vertical angles, hence the measure of angle 3 is obtained as follows:
m < 3 = 55º.
As angle 3 is congruent to angle 1.
Angles 2 and 4 are also supplementary to angles 1 and 3, meaning that the sum of their measures is of 180º, hence m<2 = m<4 = 125º.
Missing InformationThe diagram is given by the image shown at the end of the answer.
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Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s2, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is
square feet.
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is
square feet.
The surface area of the large box is
times larger than the small box.
The giant box's surface area dwarfs that of the little box by = 8 times bigger than the tiny box.
what is surface area of cube ?The cube's surface area is calculated as six times the square of its side lengths. 6a2, where an is the cube's side length, serves as its representation. In essence, it is the overall surface area. Study Cube Volume as well.
given
Large boxes with a side length of 6 feet are produced by Z-Grand Shipping Company.
The business also produces little boxes with 3-foot sides.
surface are of large box is = 6*6*6
= 216 feet3
surface area of small box = 3*3*3
= 27 feet3
The giant box's surface area dwarfs that of the little box by = 8 times
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suppose that in the sample, 55 students said that they recycle. is this convincing evidence that more than half the students at the school would say they regularly recycle?
It is insufficient proof that more than half of the students at the school recycle.
Given :
suppose that in the sample, 55 students said that they recycle.
It is insufficient proof that more than half of the students at the school recycle because: "Yes" was replied by 55 out of 100 pupils.
= 55 / 100
= 0.55
We can see that the proportion 0.55 of has a lot of dots above it in the dot plot.
As a result, a proportion of 0.55 is quite likely to be obtained when the genuine proportion is 0.5, and there is insufficient evidence to support the assertion that more than half of the school's students recycle.
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Xander was in the lead for 75% of the laps during PE. If the race lasted 12 laps, how many laps did Xander lead?
Answer:
9 laps
Step-by-step explanation:
75% of something is the same as three-fourths, or multiplying by 0.75
12 x 0.75 = 9
or you can divide by 4 and then multiply by three if you know what to separate the original number into
12/4 = 3 3 x 3 = 9
• Solve for x.
• Show all of your work to earn full credit.
•
Use the "mountain" icon to upload a piucture of your handwritten work.
→
-1 + 14x
12x + 17
If you do this for me you have to show me your work ;)
The value of 'x' for the given (alternate exterior angles) is found as 9.
Explain the term alternate exterior angles?The pair of angles the outside of the two parallel lines but on the opposing side of the transversal are known as alternate exterior angles.A transversal that crosses two parallel lines produces alternate exterior angles. They form two pairs (total four angles) of alternate outside angles since they are situated "outside" the pair of parallel lines but on different sides of the transversal.For the stated question.
-1 + 14x = 12x + 17 (alternate exterior angles)
Simplifying,
14x - 12x = 17 + 1
2x = 18
x = 9
Thus, the value of 'x' for the given (alternate exterior angles) is found as 9.
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There are 3 fewer yellow beads than red beads. There are twice as many green beads as yellow beads. Write expressions for the number of red, green, and yellow beads.
Answer:
yellow = red - 3 and green = yellow x 2 and red = yellow + 3
or
green= (red-3) x 2
Step-by-step explanation:
Three fewer yellow than read is the same as saying red -3
twice as many green as yellow is the same as yellow x 2
if green is yellow x 2 you can substitute yellow for the equation to find yellow
you can flip the equation for yellow around by doing inverse operations. To have the equation equal red you need to move the three by doing its inverse. The opposite of subtraction is addition so you'd add 3 to each side, getting rid of the -3 and isolating the red to make the equation red=yellow+3
Jerry bulit a table with a square top. the perimeter of the tabletop is 18 feet. He knows that the side lentgh of the table is 3, 3 1/4 4 or 4 1/2 use the equation 18 = 4s where s is the side length of the table to determine the side length explain how you found your answer
Answer:
4 1/2 ft
Step-by-step explanation:
18 = 4s
Divide both sides by 4.
18/4 = 4s/4
9/2 = s
4 1/2 = s
The side of the table is 4 1/2 ft.
A new car is purchased for 19000 dollars the value of the car depreciates at 7.75 per year how long will it be till the value reaches 6200
The car's value will decreases to $6,200 in about 8.65 years.
First, let's find the annual depreciation of the car. The car is purchased for $19,000 and depreciates at 7.75% per year, so the annual depreciation is:
⇒ 0.0775 x $19,000 = $1,478.50.
Now that we know the annual depreciation of the car, we can divide the difference in value by the annual depreciation to find out how long it will take for the value of the car to reach $6,200.
The value of the car decreases from $19,000 to $6,200, so the difference in value is :
⇒ $19,000 - $6,200 = $12,800.
Dividing this difference by the annual depreciation of $1,478.50:
⇒ $12,800 / $1,478.50 = 8.65 years.
Therefore, it will take approximately 8.65 years for the value of the car to reach $6,200.
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what is meant by the trend component of a time series? how is a linear trend different from a nonlinear trend?
When a relationship is plotted on a graph, a linear relationship results in a straight line; a nonlinear relationship, on the other hand, results in a curve.
There are a total of four components in a time series model.
Trend, Seasonal, Cyclical, and Error.
Seasonal Component is a wavelike pattern that is repeated throughout a time series and has a recurrence period of at most one year.
Cyclical Component is a wavelike pattern within the time series that repeats itself throughout the time series and has a recurrence period of more than one year.
Error Term represents the changes in time series data that are unpredictable and can't be associated with a seasonal , cyclical component.
Trend Component is the long-term increase or decrease in a variable being measured over time.
When a relationship is plotted on a graph, a linear relationship results in a straight line; a nonlinear relationship, on the other hand, results in a curve.
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