The Mean Absolute Percent Error (MAPE) is a metric used to assess the accuracy of forecasts MAPE = 0.535 or 53.5%
1. Calculate the absolute errors (|Actual Demand - Forecast|)
2. Find the percentage errors (|Absolute Error / Actual Demand|)
3. Calculate the average of the percentage errors
For the given data, we have the following:
Period 1:\( |800 - 720| = 80\); Percentage Error = \(80 / 800 = 0.1\)
Period 3:\( |1800 - 720| = 1080\); Percentage Error =\( 1080 / 1800 = 0.6\)
Period 4:\( |300 - 720| = 420\); Percentage Error = \(420 / 300 = 1.4\)
Period 5: \(|750 - 720| = 30\); Percentage Error = \(30 / 750 = 0.04\)
Now, find the average percentage error:
\((0.1 + 0.6 + 1.4 + 0.04) / 4 = 2.14 / 4 = 0.535\)
\(MAPE = 0.535 or 53.5%\)
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Jenna has $50 to spend at a local craft fair. The entrance price for the fair is $10. At a pottery stand. Jenna finds cups that are $4.50 each. What is the maximum cups Jenna can buy?
Answer:
8
Step-by-step explanation:
4.5x+10<=50
4.5x<=50-10
4.5x<=40
x<=8.9
round down because can't go beyond 50
x=8 max
Answer:
8 cups
Step-by-step explanation:
The equation is:
Let \(c\) be amount of cups she can buy.
\(10+4.5c=50\)
Using this equation, we get:
\(10+4.5c=50\)
Subtract 10 from both sides
\(4.5c=40\)
Divide both sides by 4.5
\(c\) ≈ \(8.89\)
Since she can only buy whole cups, the max she can buy is 8 cups.
A parallelogram has a height of 2 units. One side of the parallelogram is AB¯¯¯¯¯. The paralleogram has no right angles.
Draw the parallelogram using the Polygon tool.
Each segment on the grid represents 1 unit.
Keyboard Instructions
Initial graph state
The horizontal axis goes from 1.5 to 6.5 with ticks spaced every 1 unit(s).
The vertical axis goes from 1.5 to 6.5 with ticks spaced every 1 unit(s).
Point with coordinates (2, 3) labelled: A.
Point with coordinates (5, 3) labelled: B.
It is a unique variety of quadrilateral called a parallelogram that has both pairs of opposite sides parallel and equal.
What is quadrilateral?A polygon with has four sides, four angles, and four vertices is called a quadrilateral. The Latin words 'Quadri', which denotes four, and latus, which means side, were combined to form the English word quadrilateral.
Given, Height of the Parallelogram = 2 units
Each segment on the grid is represented as = 1 unit.
So, One side of the Parallelogram = 3 units
Properties of Parallelogram
a. Opposite sides are equal.
b. Opposite sides are parallel.
c. Diagonals Bisect each other.
Also, Every Rectangle is a Parallelogram.
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A worker in a silver mine descends 70 feet. Use an integer to represent the change in the worker's position.
Answer:
-70
Step-by-step explanation:
Answer:
i guess it would be -70 if its descending
Step-by-step explanation:
PLS HELP! GEOMETRY!!
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.
if you're actually willing to help me with my geometry test that would be awesome
Its a win-win!
Surface area of cuboid is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.
Surface area of a cuboid is = 2lw + 2lh + 2 hw
where ; l= length
w= width.
h = height
= 2(10×6)+2(10×6)+2(6×6)
=2(60)+2(60)+2(36)
=120+120+72
=312
Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.
Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.
Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.
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2 ( 2q + 1.5 ) = 18 - q
q equals to what
Answer:
4
Step-by-step explanation:
In 1992, the moose population in a park was measured to be 3590. by 1999, the population was measured again to be 4500. if the population continues to change linearly p(t)= ____ b.) what does your model predict the moose population to be in 2006?
population at 1992 = 3590
Population after Seven years (1999) = 4500
Given two points (t1, P1) and (t2, P2), the slope of the line m can be found.
p1 = (1992, 3590) and p2 = (1999, 4500)
m= ΔP/Δt
m= ((4500-3590))/((1999-1992))
m = 910/7
m=130 is the slope
The linear population function P(t) is
P(t)=130t + P0
Find the Y-Intercept P0
The population function P(t) is measured since the year 1990, year zero. The first moose population was measured in 1992, one year later. This provides an initial condition P (1) = 4500.
P (1) =130 (1) + P0 = 4500
P0 = 4370
P(t)=20t+4630
The moose population P(t) changes linearly year after year. The population function P(t) is measured in terms of t years since 1990.
t= 1990, P (0) =4370
t =1992, P (1) =130 (1) + 4370 = 4500 matches data
t=1999, P (2) = 130(2) + 4370 = 4630
t=2006, P (3) = 130(3) + 4370 = 4760
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There are 594 cal in 6 ounces of a certain ice cream how many calories are there in 2 pounds
Answer:
There are 1,883 calories in 2 pounds
What are the equation and slope of the line shown on the grid?
what grid ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀
Answer: The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope. y = mx+b is the equation to get slope.
Step-by-step explanation:
I will mark you brainliest !!!!
Answer:
how can you mato someone brainlI
est
Which table represents a linear function?
Answer:
C.
Step-by-step explanation:
1 -3
2 -5
3 -7
4 -9
Because it has a constant slope it is increasing x by 1 and decreasing y by -2.
Slope: -2/1 or -2x
Answer:
I think its the first table.
Step-by-step explanation:
My reasoning behind this is because all of the Y values are being multiplied by 2 each times.
Using synthetic division, if 2 is the zero of x³ -7x+6p (x)
Answer:THe answer is 98.78x
Step-by-step explanation:
2r34 means 567
Robert is painting a house. He has 35 cans of paint. He has used 30 kinds of paint on the walls. Now he needs to paint the trim. If each section of the trim takes 1/2 can of paint, how many sections of trim can he paint? Show your answer as an inequality with symbols, in words, and with a number line. Make sure your solution makes sense for this situation.
Answer:
x ≤ 10Maximum number of trims that can be painted with 5 cans is 10See number line imageStep-by-step explanation:
There are 5 cans left over after painting the walls.
Let x represent the maximum number of trims that can be painted
Since each trim requires 1/2 a can, x trims will take x/2 cans
This cannot exceed 5 cans so we get the inequality:
x/2 ≤ 5
Multiplying by 2 both sides of inequality:
x ≤ 10
In words:
Maximum number of trims that can be painted with 5 cans is 10
Number line attached
What is the x-intercept of the line with this equation 8x1/3y=16
8x - ¹/₃y = 16
8x - ¹/₃(0) = 16
8x - 0 = 16
8x = 16
8 8
x = 2
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
\(CI\ E(0.57,0.65)\)
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
\(CI=0.61 \pm 0.04\)P \pm M.E
Therefore Confidence interval is
\(CI=0.61 \pm 0.04\)
And can also be written as
\(CI\ E((0.61+0.04),0.61-0.04))\)
\(CI\ E(0.57,0.65)\)
In conclusion the Confidence interval is
\(CI\ E(0.57,0.65)\)
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Ariana also decided to create a dot plot of the data which is shown. What is the mode
number of first cousins?
0
5
10
15
20
The mode number of first cousins, if Ariana decides to create a dot plot of the data which is shown in the image attached below would be: 9 to 11.
What is the Mode of a Data Set?In a histogram, the mode corresponds to the bin or interval with the highest frequency or tallest bar. It represents the value range that appears most frequently in the data set.
To determine the mode from the histogram given showing number of first cousins from which Ariana wants to create a dot plot from, identify the bin or interval with the highest frequency count. The data values with the highest frequency count is 9 to 11.
Therefore, the mode number of first cousins is: 9 to 11.
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If anyone could please answer the following questions!! (photo is below)
Answer:
Natural Numbers:
1 , 17 , 24.0
Whole Numbers:
0 , 1 , 17 , 24.0
Integers:
-775 , -54.3 , -12
Rational Numbers:
0.5 , 24.0 , 3/4 , 2 5/8
What are the solution(s) for the quadratic equation?
Y=5x^2-9x+4
Show work
Let's see
\(\\ \rm\rightarrowtail 5x^2-9x+4=0\)
\(\\ \rm\rightarrowtail 5x^2-5x-4x+4=0\)
\(\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0\)
\(\\ \rm\rightarrowtail (5x-4)(x-1)=0\)
\(\\ \rm\rightarrowtail x=4/5,1\)
pls help i am speedrunning overdues rn
The amount of soil needed to fill the garden box is given as follows:
1728 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
19 ft, 12 ft and 6 ft.10 ft, 3 ft and 12 ft.Hence the volume is given as follows:
V = 19 x 12 x 6 + 10 x 3 x 12
V = 1728 ft³.
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During basic training, Kevin learns how to read distances on a radar. What should Kevin conclude is the distance around the largest circle on the radar screen?
Answer:
where is the rader
show me it then I can answer
On Monday a team of street sweepers cleaned 2/5 of a city block. Tuesday, the team cleaned 4/5 as
many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1 and 1/5
Step-by-step explanation:
\(\frac{2}{5}\) + \(\frac{4}{5}\) = \(\frac{6}{5}\) or \(1 \frac {1}{5}\)
WHO EVER HELPS ME WITH THESE 3 EASY QUESIONS GET 50 POINTS AND BRAINLIEST (HELP)
Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.
How much does he deposit in all during the first 3 weeks?
1. Write an exponential expression that represents Rick’s deposit in the second week. Explain how you identified the base and the exponent.
(Question 2 has been answered by someone)
3. Do you think Rick can keep up this savings plan for a year? To help you decide, use a calculator to find 315, the amount he would deposit in week 15.
Thank you to anyone who helps me
Answer:week 1 3 dollars week 2 9 dollars week 3 27
Step-by-step explanation:
6. There were a total of 139 points scored in the basketballgame. The Falcons scored (9x+22) and the Mavericks scored(16x - 8). What was the Falcons score for the game?
The total score in the basket game = 139
Falcons score = 9x + 22
Maverick score = 16x - 8
Therefore,
139 = 9x + 22 + 16x - 8
collect like term
139 - 22 + 8 = 9x + 16x
125 = 25x
divide both sides by 25
x = 125/25
x = 5
Falcons score = 9x + 22
Falcons score = 9(5) + 22
Falcons score = 45 + 22
Falcons score = 67
Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.
The given question can be solve using quadratic formula.
The correct option is (c) \(3x^2 +8x -10=-8\).
Given:
The given equation is,
\(x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}\)---------------------------(1)
Write the general quadratic equation.
\(ax^2 + bx +c=0\)
Write the quadratic formula.
\(x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}\)------------------------------- (2)
Compare equation (1) and (2).
\(a=3\\b=8\\c=-2\)
Substitute the value of \(a\), \(b\) and \(c\) in general quadratic.
\(3x^2 +8x -2=0\)
Subtract \(8\) from each side of above equation.
\(3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8\)
Thus, the correct option is (c) \(3x^2 +8x -10=-8\).
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Explain how you can write a quadratic function in a factored form that would have a vertex with an x-coordinate of 3 and two distant roots
Answer:
Step-by-step explanation:
(x-3)²-4=0
(x-3)²=4=2²
x-3=±2
x=3±2
x=3-2,3+2
x=1,5
it has two distinct roots and a vertex at x=3
PLEASE HELP!!
Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth.
Answer:
d = 15.8 m
Step-by-step explanation:
Apply the Pythagorean Theorem to find the length of the diagonal. The correct equation for this particular rectangle is
d = √(9² + 13²) = √250 = √25·√10 = 5√10
To the nearest tenth, this comes to d = 15.8 m
Answer: 15.8
Step-by-step explanation:
Tracey and Mark recorded the number of customers waiting in the first 5 checkout lines at two different grocery stores at the same time of day on the same day of the week. Tracey found {2, 2, 3, 3, and 4} waiting customers in store A. In store B, Mark found {3, 4, 4, 4, and 5} waiting customers. Which one of the following statements is true?
Store A has a spread of 2. 8.
Store A has a spread of 2. 8.
Stores A and B have an equal spread.
Stores A and B have an equal spread.
Store B has a greater spread than store A.
Store B has a greater spread than store A.
Store B has a spread of 4
The correct statement is "Stores A and B have an equal spread." (option b).
To determine the spread of the data, we first need to find the range. The range is calculated by subtracting the smallest number from the largest number in a dataset.
For Store A:
The smallest number recorded is 2, and the largest number is 4. Therefore, the range of Store A is 4 - 2 = 2.
For Store B:
The smallest number recorded is 3, and the largest number is 5. Thus, the range of Store B is 5 - 3 = 2.
Comparing the ranges of both stores, we see that both Store A and Store B have the same range, which means the spread of the data is equal for both stores.
Therefore, the correct statement is:
b) Stores A and B have an equal spread.
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Christian is driving on a long road trip. He currently has 12 gallons of gas in his car.
Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would be
in the tank after driving for 6 hours? How much gas would bbe left after t hours?
1. Find the total surface area
of the triangular prism.
The area of the triangular prism is 336 ft².
What is total surface area?Area is the region occuppied by a plane shape.
To calculate the total surface area of the triangular prism, we use the formula below.
Formula:
A = L(b+h+l)+bh.................. Equation 1Where:
A = Total surface area of the triangular prismL = Length of the triangular prismb = Base of the triangular baseh = Height of the triangular basel = Hypotenus of the triangular baseFrom the question,
Given:
L = 12 ftb = 6 fth = 8 ftl = 10 ftSubstitute these values into equation 1
A = 12(8+6+10)+(6×8)A = 288+48A = 336 ft²Hence the area is 336 ft²
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Can someone answer this
?
\( {c}^{2} - 5c - 8 \\ 36 - 30 - 8 \\ - 2\)
Need Help PLease Very Importatn giving 20 POINTS
Answer:
The last option: \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
Step-by-step explanation:
Main concepts:
Concept 1. Parts of a Radical
Concept 2. Radicals as exponents
Concept 3. Exponent properties
Concept 4. How to simplify a radical
Concept 1. Parts of a Radical
Radicals have a few parts:
the radical symbol itself,the "index" (the number in the little nook on the left), andthe "radicand" (the part inside of the radical).If the index isn't shown, it is the default index of "2". This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.
In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.
Concept 2. Radicals as exponents
For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical. In equation form:
\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)
So, the original expression can be rewritten as follows:
\(\sqrt[4]{81x^{18}y^{6}}\)
\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)
Concept 3. Exponent properties
There are a number of properties of exponents:
Multiplying common bases --> Add exponents: \(x^ax^b =x^{a+b}\) Dividing common bases --> Subtract exponents: \(\dfrac{x^a}{x^b} =x^{a-b}\) Bases raised to powers, raised again to another power, multiplies powers: \((x^a)^b =x^{ab}\) A "distributive" property for powers across multiplication (warning... does not work if there are ANY addition or subtractions): \((xy)^a =x^{a}y^{a}\)Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...
\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)
Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...
\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)
Reducing those fractions, (both the numerators and denominators have a factor of 2)...
\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)
Rewriting the exponent of the "81" back as a radical...
\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
Concept 4. How to simplify a radical
For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.
In our case, the index is 4. So, we're looking for a number that when multiplied together four times, gives a result of 81.
One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).
Note that 81 factors into 9*9, which further factors into 3*3*3*3
This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:
\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)
So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
This is the last option for the multiple choice.