Periodic data is useful when analyzing trends or patterns that repeat at regular intervals over time.
Examples include analyzing sales data by month, tracking website traffic by day of the week, or monitoring seasonal fluctuations in temperature.
Example 1: Monthly Sales Data
To illustrate the usefulness of periodic data, let's consider a retail business that tracks its monthly sales over the course of a year. Suppose the sales data for January to December are as follows:
January: $50,000
February: $55,000
March: $60,000
April: $65,000
May: $70,000
June: $80,000
July: $85,000
August: $90,000
September: $95,000
October: $100,000
November: $110,000
December: $120,000
To analyze this periodic data, we can calculate the average monthly sales:
Total Sales = $50,000 + $55,000 + ... + $120,000
= $780,000
Number of Months = 12
Average Monthly Sales = Total Sales / Number of Months
= $780,000 / 12
= $65,000
So, the average monthly sales for this retail business is $65,000.
Periodic data, such as monthly sales figures, allows businesses to identify seasonal trends, peak periods, and areas for improvement. By analyzing this data, businesses can make informed decisions about inventory management, marketing strategies, and resource allocation. In this example, calculating the average monthly sales helps the business understand its typical revenue stream and plan accordingly. Additionally, periodic data analysis enables businesses to compare performance across different time periods and track progress towards goals. Therefore, periodic data is essential for strategic planning and optimizing business operations.
Complete question:
When is periodic data useful? Give examples to support your answer.
In p.
e. A parachute is laid out on the gym floor. The parachute has a radius of 16 feet. Which measurement is closest to the circumference of the parachute in feet.
The circumference of the parachute is Option A (100.48 feet).
To find the circumference of the parachute, we use the circumference formula for a circle:
C = 2πr
Given the radius (r) is 16 feet, we substitute it into the formula:
C = 2π(16) = 32π
Using the approximate value of π (3.1416), we get:
C ≈ 32 × 3.1416 = 100.48 feet
Thus, the measurement closest to the circumference of the parachute in feet is 100.48 feet (Option A).
Complete question:
In PE a parachute is laid out on the gym floor. The parachute has a radius of 16 feet. Which measurement is closest to the circumference of the parachute in feet?
A. 100.48ft
B. 198.4ft
C. 49.6ft
D. 803.84ft
They traveled 200 kilometers in total, and they biked 40 kilometers more than they were bussed. how many kilometers did they travele by bike
Which is the correct form of the quadratic formula? A) x = b ± b2 - 4ac a B) x = b ± b2 - 4ac 2a C) x = - b ± b2 - 4ac a D) x = - b ± b2 - 4ac 2a
The correct form of the quadratic formula is x = (-b±√(b² - 4ac)) / (2a).
Hence, option D) is the correct answer.
What is a Quadratic Equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x using the quadratic formula;
x = (-b±√(b² - 4ac)) / (2a)
The correct form of the quadratic formula is x = (-b±√(b² - 4ac)) / (2a).
Hence, option D) is the correct answer.
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I WILL GIVE BRAINLIEST The area of the surface of the trampoline (square) is equal to twice its perimeter. Find the dimensions. length= 4x ft., width= (x+6) ft.
FACTORING POLYNOMIALS/SOLVE THE EQUATION BY FACTORING HOMEWORK
A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing the new machine?
We have been given that the company spent 32% of its annual budget developing a new machine.
Let us convert the percentage to fraction.
[tex]32 \%=\frac{32}{100} \\ \\ 32 \%=\frac{4\times 8}{4\times 25}\\ \\ \text{Cancel 4 from numerator and denominator}\\ \\ 32 \%=\frac{8}{25}[/tex]
Thus, when we convert 32% to fraction that will be equal to 8/25.
Hence, [tex]\frac{8}{25}[/tex] company's budget was spent developing the new machine.
Multiply. 0.35 × 0.003 =
Answer:
0.00105
Step-by-step explanation:
Make a box and whisker plot of the data.
24, 18, 29, 21, 16, 23, 13, 11
5/8 ≠ (3/4 + 1/16) because 5/8 < 3/4 EXPLAIN THIS PROBLEM AND WHAT IT MEANS
The mean of a set of five numbers is 4.8. Given that the sixth number is x and the mean of these six numbers is 5.5, find the value of x.
The point (-1.3, -1.7) is located in which quadrant?
For which angle is secant undefined?
30°
45°
180°
270°
Answer:
the answer is 180 degrees
Step-by-step explanation:
i used my head and my google maths
WILL VOTE BRAINIEST IF CORRECT(must be next few minutes): The formula for the area of circle A is Area=πr2 . Sector CAB is a fraction of circle A. In degrees, the fraction is θ/360∘ . In radians, the fraction is _____. Inserting this fraction into the formula for the area of a circle, and then simplifying, results in the formula _____.
(image attached)
choices: 2pi0, 0pi, 0/2pi, area=0r^2, area= 2pi0r^2, area= 0/2r^2
The fraction of the sector of a circle in radians is (θπ/180). Substituting this fraction into the formula for the area of a circle, and simplifying, results in the formula for the area of the sector being A = (θπ/360) * r^2.
Explanation:In a circle, the angle in degrees is often converted to radians for calculations. A full circle is equivalent to 360 degrees or 2π radians. Therefore, if the sector angle is θ degrees, then in radians, the equivalent is (θ/360) * 2π = θπ/180.
Inserting this into the formula for the area of a circle, which is A = πr2, the area A of the sector becomes a fraction of the full circle's area, which is calculated as follows: (θ/360) * A = (θ/360) * πr2 = (θπ/180) * r2. Simplifying this results in the formula A = (θπ/360) * r2.
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For a sector in a circle, the fraction is θ/2π in radians. After substituting this into the formula for circle's area, we get the area of sector as Area = (θr²)/2.
Explanation:The fraction in radians for a sector in a circle is θ/2π, because there are 2π radians in a whole circle. As the formula for the area of circle A is Area=πr², when we insert this fraction, which represents the proportion of the circle that Sector CAB occupies, we get the formula for the area of a sector: Area= (θ/2π) * πr². This simplifies to Area= (θr²)/2, as the π's cancel out. This formula says that the area of a sector is proportionate to its central angle and the square of the radius of the circle.
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6. Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 147 of the first 156 customers have not received a star on their receipts. What is experimental probability of winning a free gallon of milk?
A. 11/156
B. 49/52
C. 2/39
D. 3/52*****?
The experimental probability of winning a free gallon of milk will be calculated as under -
It is given that, total number of outcomes = 156
Non-winning customers = 147 (it is given in the question)
Thus, the winning customers will be = Total outcomes - Non-winning customers
Expected winning customers = 156 - 147 = 9
The probability is calculated as -
Probability (Winning customer) = [tex] \frac{Winning Customers}{Total Customers} [/tex]
Probability (Winning customer) = [tex] \frac{9}{156} [/tex] = [tex] \frac{3}{52} [/tex]
How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size and the height is quadrupled?
A. V=2/81pir^2h
B. V=16/81pir^2h
C. V=4/9pir^2h
D. V=16/9pir^2h
Rewrite the expression log(3x) as an equivalent logarithmic expression using only addition.
Sharon wants to know the difference between the average amount she stacked and the average amount Diane stacked. Which operation would she use to find the difference?
katy buys ‘x’ cakes.
Gugu buys 3 times as many cakes as katy.
Deanna buys 2 more cakes than Katy.
Each cake costs 85p
The total of the cakes is £52.70
How many cakes did each girl buy?
Answer:
Katy bought 12 cakes
Gugu bought 36 cakes
Deanna bought 14 cakes
Step-by-step explanation:
A line has a slope of -5 and passes through (1,-1). Which is the equation of the line in point-slope form?
Choose an example of a fixed expense and an example of a variable expense, and explain why they are classified that way.
Fixed costs, such as rent, remain constant regardless of production levels, while variable costs, like raw material expenses, will fluctuate based on the level of production.
Explanation:Firms classify their costs into two categories: fixed costs and variable costs. Fixed costs are expenses that do not change regardless of the level of production. For instance, a lease on a retail space would be considered a fixed cost as it remains the same whether you sell a lot or a little. On the other hand, variable costs are directly tied to the level of production. For example, the cost of buying materials to produce a product tends to rise as the level of production increases. It's variable because the more you produce, the more materials you would need, and therefore the cost varies with the level of output.
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3(−4x) + 3(5) = 12
−12x + 15 = 12
−12x + 15 − 15 = 12 − 15
−12x = −3
x =
Answer: 1/4
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How can you prove a triangle is a right triangle? select one:a. use the distance formula to see if at least two sides are congruent.b. use the slope formula to see if any sides are perpendicular.c. use the distance formula to see if all three sides are congruent.d. use the slope formula to see if any sides are parallel?
How much of a 14% iodine solution should be added to 89 ounces of a 47% iodine solution to get a 29% solution
I need step by step instructions on how to get the y-intercept for the following function:
f(x)=x^3-18x^2+107x-210.
Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?
Final answer:
To divide 2y² + 8 by 2y + 4, use long division to find the quotient and remainder.
Explanation:
To divide 2y² + 8 by 2y + 4, we can use long division. Here are the steps:
Divide the first term of the dividend by the first term of the divisor, which gives us y.
Multiply the entire divisor by y to get 2y² + 4y.
Subtract 2y² + 4y from the dividend 2y² + 8 to get 4.
Next, divide 4 by 2y + 4, which gives us 2.
Finally, we have a remainder of 0.
Therefore, the quotient is y + 2 and the remainder is 0.
PLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Find the value of n.
What is the length of an arc cut off by an angle of 3 radians on a circle of radius 8 inches?
What is the 12th term of the sequence? 3, −9, 27, −81, 243, ...
531441
−531441
177147
−177147
Given that f(x) = x2 − 4x − 3 and g(x) = the quantity of x plus three, over four, solve for f(g(x)) when x = 9.
−6
3
6
9
Final answer:
The solution to f(g(x)) when x = 9 is -6.
Explanation:
In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain), where each input is related to exactly one output.
Given:
f(x) = x2 - 4x - 3, g(x) = (x + 3) / 4
To find f(g(x)) when x = 9:
Calculate g(9): Substitute x = 9 into g(x) to get (9 + 3) / 4 = 12 / 4 = 3Substitute g(9) into f(x): Substitute g(9) = 3 into f(x) to get f(3) = 32 - 4(3) - 3 = 9 - 12 - 3 = -6Therefore, f(g(x)) when x = 9 is -6.
PLS HELP ME ASAP WITH 1!
BRAINLIEST WILL BE GIVEN HOPEFULLY
Do question 2 if u can, if u can’t it’s fine
(Random answers gets moderated)
Algebra question ( Matrices and Determinants ) 20 points