Step-by-step explanation:
To compute the monthly sales forecast using a 4-month moving average with the given weights, we can follow these steps:
1. Determine the weights for each of the four months. Based on the provided weights (25%, 20%, 15%, 12%), we can assign the following weights to the respective months in reverse order:
Month 1: 12%
Month 2: 15%
Month 3: 20%
Month 4: 25%
2. Calculate the forecast for each month by multiplying the demand for the corresponding month by the assigned weight and summing them up.
For Month 5:
Forecast = (Demand for Month 5 * Weight for Month 1) + (Demand for Month 4 * Weight for Month 2) + (Demand for Month 3 * Weight for Month 3) + (Demand for Month 2 * Weight for Month 4)
Forecast = (41 * 0.12) + (40 * 0.15) + (33 * 0.20) + (29 * 0.25)
Forecast = 4.92 + 6 + 6.6 + 7.25
Forecast ≈ 24.77
Similarly, you can calculate the forecasts for the remaining months using the same approach.
Month 6:
Forecast = (43 * 0.12) + (41 * 0.15) + (40 * 0.20) + (33 * 0.25)
Month 7:
Forecast = (49 * 0.12) + (43 * 0.15) + (41 * 0.20) + (40 * 0.25)
Month 8:
Forecast = (52 * 0.12) + (49 * 0.15) + (43 * 0.20) + (41 * 0.25)
By performing these calculations, you can determine the monthly sales forecasts for each of the remaining months based on the given demand and weights.
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
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From the origin, move 3 units to the right, and then move 9 units up is the intersection of the graphs of the two equations be located on a coordinate grid
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
Given that solution to a system of two linear equations is x = 3: y = 9.
We need to find how the intersection of the graphs of the two equations be located on a coordinate grid
As we know that the numbers on right side of zero are positive and number of upside of zero on y axis are positive.
As x=3 which is positive
y=9 which is positive.
So From the origin, move 3 units to the right, and then move 9 units up is the intersection of two equations
Hence, From the origin, move 3 units to the right, and then move 9 units up is the intersection of the graphs of the two equations be located on a coordinate grid
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For a quadrilateral to be a square, the diagonals must be ________________. Responses perpendicular perpendicular, EndFragment, congruent and perpendicular congruent and perpendicular, EndFragment, parallel parallel, EndFragment, congruent congruent, EndFragment,
Answer: Congruent and Perpendicular
Step-by-step explanation:
If diagonals of a quadrilateral bisect each other then it is a rectangle and if they are perpendicular as well then it is a square.
Find solution
A)- 5x+7y > 2
B)2x-5y<-7
(Worth 40 Brainly points help quickly)
The critical point in the solution of the equation -5x + 7y > 2 and 2x - 5y < -7 using graph is
(3.5, 2.8)
How to find the solution
The solution of the inequality equation s given as
A) -5x + 7y > 2
B) 2x - 5y < -7
would be solved by graphical method
Using the graph the point of the intersection of the two lines is the critical points of the solution. The critical point from the graph is (3.5, 2.8)
The solution also entails the areas or points covered in the areas where the two shades superimpose.
The graph showing the solution is attached
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Ofelia is typing an essay on her computer. She typed 3/5 of a page in 1/5 hour. At this rate, how many hours would it take her to type a 3 page paper?
It would take Ofelia 1 hour to type a 3-page paper at her current typing rate.
. Given that Ofelia typed 3/5 of a page in 1/5 hour, we can determine her typing rate. To do so, we can divide the amount of work completed (3/5 of a page) by the time it took (1/5 hour):
(3/5) / (1/5) = 3 pages/hour
This means Ofelia's typing rate is 3 pages per hour. Now, we need to find out how many hours it would take her to type a 3-page paper at this rate. We can use the formula:
Time = Work / Rate
Here, the work is the 3-page paper, and the rate is 3 pages/hour. Plugging in the values:
Time = 3 pages / 3 pages/hour = 1 hour
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The final price of the textbook for an English literature course is 12% more than the listed price when tax and shipping costs are included. If the listed price is $130, what is the final price of the textbook?
(Round to the nearest dollar.)
The final price of the textbook for an English literature course, which is 12% more than the listed price of $130 when tax and shipping costs are included, is $145.60.
How the final price is determined:The final price of the textbook includes the costs of tax and shipping of 12%, which is added to the listed price.
The final price of the textbook can be computed, using the increase factor, as follows:
The listed price = $130
The increase in the final price = 12%
12% = 0.12 (12/100)
Increase factor = 1.12%
The final price = $145.60 ($130 x 1.12)
Thus, when adding 12%, which represents the tax and shipping costs, to the listed price, the final price is $145.60.
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What number lies exactly halfway between 1/5 and 1/9?
Answer:
7/45
Step-by-step explanation:
What number lies exactly halfway between 1/5 and 1/9?
you have to find the mean of the two fractions, adding and then dividing by two
(1/5 + 1/9) : 2 =
14/45 : 2 =
7/45
help me with the question below
The value of the x is 31.4 mm
Surface area = 282.6
According to the given figure,
Radius of circle = 5 mm
The length of x is the circumference of the circle,
⇒ x = 2πr
Here r is the radius of the circle,
Therefore, r = 5
Then put it into the circumference expression,
⇒ x = 2x3.14x5
= 31.4 mm
Total surface area,
= 2 x area of circle + area of rectangle
= 2(πr²) + (LxW)
= 2xπx5² + 10xπx4
= 50π + 40π
= 90 π
= 90x3.14
= 282.6
Hence,
Surface area = 282.6 mm³
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Which of the following functions M best represents the area of the figure shown ?
The function of the area of the figure is M(x) = (x + 2)(3/2x - 2)
Calculating the function of the area of the figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The total area of the composite figure is the sum of the areas of the individual shapes
So, we have
Area = Rectangle + Triangle
Using the area formula, we have
M(x) = (x + 2)(x - 2) * 1/2 * x * (x + 2)
Factorize
M(x) = (x + 2)(x - 2 + x/2)
So, we have
M(x) = (x + 2)(3/2x - 2)
Hence, the function of the area of the figure is M(x) = (x + 2)(3/2x - 2)
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i need help graphing 2x-5y=10
A graph and table for the linear equation y = 2x/5 - 2 in slope-intercept form is shown in the image attached below.
What is a graph?In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.
Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph;
2x - 5y = 10
5y = 2x - 10
y = 2x/5 - 2
In conclusion, we would use an online graphing calculator to plot the given linear equation in slope-intercept form as shown in the graph attached below.
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A retirement account is opened with an initial deposit of $8,000 and earns 7.12% interest compounded monthly. What will the account be worth in 25 years?
Step-by-step explanation:
Future Value = Present Value ( 1 + i)^n
i = decimal interest per PERIOD (.0712/12)
n = periods = 25 * 12 = 300 months
Future value = 8000 ( 1 + .0712/12)^300 = $ 47189.98
Answer:
Step-by-step explanation: Take the amount he started with, 8,000, our coefficient, and since it is being increased by 7.12 percent, therefore, we put it all together, and that will be 8000(1.712) to the power of five which is.. 117,654.56 dollars (you're welcome)
Show that every subgroup [tex]H \neq G[/tex] of a finite group is contained in a maximal subgroup?
K is a maximal subgroup of G, and we have[tex]H ⊆ K[/tex] since H is a proper subgroup of G and thus H is in M.
Let G be a finite group and let H be a subgroup of G. We want to show that H is contained in a maximal subgroup of G.
First, we note that if H is already a maximal subgroup of G, then we are done. So assume that H is not maximal.
Let M be the set of all subgroups of G that contain H. Note that M is non-empty, since G is itself in M. Since G is finite, M has a maximal element, say K. Then K is a maximal subgroup of G, and we have [tex]H ⊆ K[/tex] since H is in M.
To show that every subgroup H of G, where H is not equal to G itself, is contained in a maximal subgroup of G, we can use the same argument as above.
Let M be the set of all proper subgroups of G (i.e., subgroups that are not equal to G itself). Note that M is non-empty, since {e}, the subgroup consisting only of the identity element, is in M. Since G is finite, M has a maximal element, say K. Then K is a maximal subgroup of G, and we have[tex]H ⊆ K[/tex] since H is a proper subgroup of G and thus H is in M.
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A car travels 200 kilometres in 5 hours. How far does it travel in 7 hours at the same speed?
Answer:
Speed =distance divide by time
=200 kilometres divide by 5
=40km/h
Distance =speed multiple by time
=40 multiple by 7 hours
=280km
A company introduces a customer service app. They track the number of customers who use it over an 8-month period. The scatter plot shows the data and a good line of fit. Write an equation of the line. Then predict the number of customers that will use the app after 12 months. Show your work.
The Y-intercept (b), we can substitute one of the points into the equation y = mx + b and solve for b.
The equation for the line of fit on the scatter plot, we need to determine the slope and y-intercept. Then, using the equation, we can predict the number of customers that will use the app after 12 months.
Given that we have a good line of fit, let's assume the equation of the line is in the form y = mx + b, where y represents the number of customers and x represents the number of months.
the scatter plot, we can determine two points on the line of fit. Let's say the coordinates of the first point are (x1, y1) and the coordinates of the second point are (x2, y2).
Next, we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
the y-intercept (b), we can substitute one of the points into the equation y = mx + b and solve for b.
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1 A circle has a radius of 6 cm. Write down the circumference of the circle in terms of pi [1 mark]
Answer:
The circumference of the circle is 12pi cm.
Answer:
The circumference of the circle is 12π cm.
that's the answer
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
A plant is given plant food that contains 54 milligrams of magnesium. The plant is given this food each week for 20 weeks. How many grams of magnesium does the plant receive in 20 weeks?
The plant receives a total of 1.08 grams of magnesium in 20 weeks.It's important to note that when performing unit conversions, it's crucial to keep track of the units and ensure that they cancel out correctly. In this case, we converted milligrams to grams and then multiplied by the number of weeks to find the total amount of magnesium in grams.
To calculate the total amount of magnesium the plant receives in 20 weeks, we need to convert the milligrams to grams and then multiply it by the number of weeks.
Given that the plant food contains 54 milligrams of magnesium, we need to convert it to grams. Since there are 1,000 milligrams in 1 gram, we divide 54 by 1,000 to convert milligrams to grams:
54 milligrams ÷ 1,000 = 0.054 grams
Now, we multiply the amount of magnesium received per week (0.054 grams) by the number of weeks (20) to find the total amount of magnesium received in 20 weeks:
0.054 grams/week × 20 weeks = 1.08 grams.
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Determine the measure of each arc.
The measure of each arc is calculated as: 16. m(MN) = 72°; 17. m(NQR) = 180°; 18. m(NQ) = 108°; 19. m(MRP) = 265°; 20. m(QR) = 72°; 21. m(MR) = 108°; 22. m(QMR) = 288°; 23. m(PQ) = 13°.
How to Determine the Measure of Arcs?To determine the measures of each of the arcs, note that the central angle will have the same measure as the arc.
16. m(MN) = m<QRN [vertical angles are equal}.
m(MN) = 72°.
17. m(NQR) = 180° [half of a circle is 180 degrees]
18. m(NQ) = 180 - 72 = 108°
19. m(MRP) = 180 + (180 - 95)
m(MRP) = 180 + 85 = 265°
20. m(QR) = 72°
21. m(MR) = 180 - 72 = 108°
22. m(QMR) = 360 - 72 = 288°
23. m(PQ) = 180 - 95 - 72 = 13°
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simplify the expression (x+6)^2
The simplified expression for (x+6)^2 is x^2 + 12x + 36.
The expression (x+6)^2 represents the square of the sum of x and 6. To simplify this expression, we need to use the formula for expanding a binomial squared, which is (a+b)^2 = a^2 + 2ab + b^2.
Applying this formula to our expression, we get:
(x+6)^2 = x^2 + 2(x)(6) + 6^2
Simplifying further:
(x+6)^2 = x^2 + 12x + 36
In summary, to simplify the expression (x+6)^2, we use the formula for expanding a binomial squared and simplify the resulting terms to get the simplified expression x^2 + 12x + 36.
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Jose wants to advertise how many chocolate chips are in each Big Chip cookie at his bakery. He randomly selects a sample of 57 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 18.2 and a standard deviation of 2.9. What is the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population. Round answers to 3 decimal places where possible.
The 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is approximately (17.569, 18.831), rounded to three decimal places.To determine the 90% confidence interval for the number of chocolate chips per cookie in Big Chip cookies, we can use the sample mean and standard deviation along with the appropriate formula.
Given that Jose randomly selected a sample of 57 cookies and found a sample mean of 18.2 and a standard deviation of 2.9, we can calculate the confidence interval using the following formula:
Confidence Interval = Sample Mean ± (Z * (Standard Deviation / √Sample Size))
Since the data is assumed to be from a normally distributed population and we want a 90% confidence interval, we need to find the Z-value for a 90% confidence level. Using a standard normal distribution table or a calculator, the Z-value for a 90% confidence level is approximately 1.645.
Substituting the values into the formula:
Confidence Interval = 18.2 ± (1.645 * (2.9 / √57))
Calculating the values:
Confidence Interval = 18.2 ± (1.645 * 0.383)Confidence Interval ≈ 18.2 ± 0.631.
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Help please how do I find the exterior angles of a heptagon!!!
The sum of the exterior angles of the heptagon in the given diagram is 51.43 degrees.
To find the sum of the exterior angles of a heptagon, we can use the formula:
Sum of exterior angles = 360 degrees
Since a heptagon has 7 sides, it also has 7 exterior angles.
Therefore, each exterior angle of a heptagon is equal to:
= 360 degrees / 7
= 51.43 degrees (rounded to two decimal places)
Hence, the sum of the exterior angles of the heptagon in the given diagram is 51.43 degrees.
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An examiner marks 70 papers. The mean mark is 68 per paper. What is the total number of marks awarded by the examiner?
Step-by-step explanation:
70 x 68 = 4760 marks
# mrks / 70 papers = 68 marks/paper
# marks = 70 papers * 68 marks/paper
if 1 m3 = 1000 liters, and the town has a population of 500 people, when will they run out of water if each person consumes 10 liters of water per day. Use 3.14 for pi and round to the nearest tenth.
Based on the information, the town will run out of water in 1 hour.
How to calculate the valueThe town has a total water consumption of 500 people * 10 liters/day = 5000 liters/day.
The town has a water supply of 5000 liters/day / 1000 liters/m³ = 5 m³
The town will run out of water in 5 m³/ 5000 liters/day = 0.01 days = 1 hour.
Time to run out of water = Total water supply / Total water consumption per day = 5000 liters / 5000 liters/day
= 1 hour
Therefore, the town will run out of water in 1 hour.
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One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)
Step-by-step explanation:
ab = 72 then a = 72/b sub into first equation
72/b * b^4 = 48
72 b^3 = 48
b^3 = 48/ 72
b = .87358
then a = 72/b = 82.4194
The value of 'b' in the ordered pair that satisfies the equations ab^4 = 48 and ab = 72 can be found by expressing 'a' in terms of 'b' from the second equation, substituting into the first and solving for 'b'. The final answer is b = cuberoot(2/3).
Explanation:The subject of this problem is about finding the value of b in an ordered pair (a, b) that satisfies the given equations ab^4 = 48 and ab = 72.
From the second equation, we could express 'a' as a = 72/b. Now, let's substitute 'a' into the first equation, the new equation becomes (72/b) * b^4 = 48. Simplifying this gives b^3 = 48/72 = 2/3, taking the cube root of both sides obtains the value of b which is cuberoot(2/3).
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3/4 of students in a certain school credited Igbo language in 2013 WAEC result,5/9 credited Agriculture. Every student in the school credited at least one of the two subjects. If 22 students credited both Igbo and Agriculture, how many students are in the school.represent in a Venn diagram
There are 72 students in the school.
The number for Igbo language = 54
The number for Igbo language = 40
The Venn diagram is attached
how to find the number of students in the schoolAssuming that the total number of students in the school is x.
Information from the problem
3/4 of students credited Igbo language and
5/9 credited Agriculture.
every student in the school credited at least one of the two subjects. hence we have that
3/4x + 5/9x - 22 = x
Simplifying this equation gives
3/4x + 5/9x - x = 22
11x / 36 = 22
11x = 36 * 22
x = (36 * 22) / 11
x = 72
The number for Igbo language
= 3/4 * 72 = 54
The number for Igbo language
= 5/9* 72 = 40
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Given an isosceles triangle with a base length of 30 and a median (drawn from the vertex
angle) length of 21, what is the length of a leg?
The length of each leg is 14.69 in the triangle
In an isosceles triangle, the median drawn from the vertex angle also acts as an altitude, dividing the triangle into two congruent right triangles.
Let the length of one of the legs of the triangle "x".
Using the Pythagorean theorem, we can write:
x²+ (15)² = (21)²
x² + 225 = 441
x² = 441 - 225
x² = 216
Taking the square root of both sides, we find:
x = √216
x =14.69
Therefore, the length of each leg is 14.69 in the triangle
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Solve the right triangle. Round decimal answers to the nearest tenth. Find m/_C. Can you help me guys with this question please?
The measure of angle C is 13. 94 degrees
How to determine the valueTo determine the value of the angle, we need to know the six different trigonometric identities.
These identities are;
tangentcotangentsecantcosecantsinecosineFrom the information given, we have that;
The Hypotenuse side of the triangle ABC = 34
the adjacent side of the triangle = 33
Using the cosine identity, we have that;
cos C= adjacent/hypotenuse
cos C = 33/34
Divide the values
cos C = 0. 9706
Find the inverse
C = 13. 94 degrees
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Determine if triangle KML is similar to triangle PRQ. If they are similar, enter the scale factor.
Answer and Explanation:
We can check if these triangles are similar by comparing the ratios of their corresponding side lengths:
[tex]\dfrac{QP}{LK} \stackrel{?}{=} \dfrac{RP}{MK}[/tex]
[tex]\dfrac{6}{16} \ne \dfrac{11}{36}[/tex]
These triangles are not similar because the ratios of their corresponding side lengths is not the same.
Find the probability that when a couple has five children, at least one of them is a girl (Assume that boys and girls are equally likely)
[tex]A[/tex] — at least one of the children is a girl
[tex]A'[/tex] — none of the children is a girl
[tex]P(A)=1-P(A')\\\\|\Omega|=2^5=32\\|A'|=1\\\\P(A')=\dfrac{1}{32}\\\\P(A)=1-\dfrac{1}{32}=\dfrac{31}{32}\approx96.9\%[/tex]
Answer:
The probability that when a couple has five children, at least one of them is a girl is 31/32 or approximately [tex]0.96875.[/tex]
Explanation:
We can determine the probability of having at least one girl by using the complement rule, which states that the probability of an event occurring is equal to one minus the probability of the event not occurring. In this case, the event of interest is having at least one girl among five children and the complement is having only boys among five children.
Since there are two equally likely outcomes (boy or girl) for each child and the events are independent, we can find the probability of having all boys by multiplying the probabilities of each individual event together: (1/2)^5 = 1/32.
So, the probability of having at least one girl is 1 - 1/32 = 31/32 or approximately 0.96875.
SALE
50% OFF!
The original price of a concert ticket is $66. How much will Janelle pay if she buys it during the sale?
$
Answer:
$33-------------------
Original price is $66 and the sale price is 50% off, so the sale price is:
$66 - 50% of $66 = $66 - $33 = $33Janelle will pay $33 for the ticket.
Drag the tiles to the correct boxes to complete the pairs.
Match each function with the graph of its inverse function. fx=5x-1 fx= 1/5 x fx=x-5 fx=7x+1
The inverse of the functions are solved
Given data ,
Let the inverse of the function be represented as f⁻¹ ( x )
a)
f(x) = 5x - 1
y = 5x - 1
x = 5y - 1
x + 1 = 5y
y = (x + 1)/5
Inverse: f⁻¹(x) = (x + 1)/5
b)
f(x) = (1/5)x
y = (1/5)x
x = (1/5)y
y = 5x
Inverse: f⁻¹(x) = 5x
c)
f(x) = x - 5
y = x - 5
x = y - 5
y = x + 5
Inverse: f⁻¹(x) = x + 5
d)
f(x) = 7x + 1
y = 7x + 1
x = 7y + 1
x - 1 = 7y
y = (x - 1)/7
Inverse: f⁻¹(x) = (x - 1)/7
Hence , the inverse of the functions are solved
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