Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found: stack y t with overparenthesis on top equals 2120 space minus 620 space Q t r 1 space minus space 1320 space Q t r 2 space plus space 290 space Q t r 3 space plus space 24 space t , where Q t r 1 , Q t r 2and Q t r 3 are dummy variables corresponding to Quarters 1, 2 and 3, and t = time period. The sales in Quarter 4 of the next year are predicted to be
Answers
Answer:
Y(2)= 2120+ 48= 2168
Step-by-step explanation:
The given equation is
Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t
Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are
Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0) + 24 (1)
Y(1)= 2120 + 24 = 2144 ( for year =1)
Y(2)= 2120+ 48= 2168 ( for year =2)
Y(3)= 2120 + 72= 2192 ( for year =3)
where t is the number of years.
So for the next year the fourth quarter sales are predicted to be 2168.
Related Questions
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain
day 369 people entered the park, and the admission fees collected totaled 1016 dollars. How many
children and how many adults were admitted?
Answers
Answer:
184 children and 185 adults!
Step-by-step explanation:
So let's suppose there are x children who entered the park that day, then there will be (369-x) adults who entered the park that day.
So we have an equation!
1.5x+4(369-x)=1016
1.5x+1476-4x=1016
Then we swivel things around a bit.
1476-1016=4x-1.5x
2.5x=460
x=184
There are 184 children in that park that day! Wow, that's a lot of people, next we calculate the number of adults:
369-184
=185
OK, 184 children and 185 adults!
Hoped I helped! Have a nice day!
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P.P.S Is this college stuff? Cause I'm in 6th grade, and I don't have any problem doing it. :)
Will give Brainliest. Amoli and Ella are converting measurements between inches and feet. Amoli says that the constant of proportionality is 12. Ella says it is 1/12. Who do you agree with? Explain your thinking.
Answers
i need help pls sum1 help me!!!!!!
Answers
Answer:
40=7+3q
Step-by-step explanation:
the answer is 40=7+3q i hope it helps
find the value power of 5-^2
Answers
Answer:
-25
Step-by-step explanation:
water and food are products of?
Answers
find the value of f(-5).
f (t) = -4t - 3
Answers
Answer:
f (-5) = 17
Step-by-step explanation:
f (t) = -4t - 3
f (-5) = -4 (-5) - 3
f (-5) = 20 - 3
f (-5) = 17
.
.
Hope it helps
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
Answers
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Find the product of 6.35 x 5.2.
Answers
Answer:
33.02
Step-by-step explanation:
Out of hundreds of items produced at a factory, 1% are defective and need to be discarded, 6% are defective but can be refurbished, and 93% are in good condition. One of these items is randomly sampled. Let X = 1 if the item needs to be discarded, and X = 0 otherwise. Also, let Y = 1 if the item is defective but can be refurbished, and Y = 0 otherwise. Select all that apply:
Answers
Y~Bernoulli (0.06)
X+Y=Z, where Z~Bernoulli (0.07)
A fish tank holds 175 gallons of water. Tom is emptying the tank and
removes 25 gallons per hour. Write an equation to model the situation,
where x represents time in hours and y represents the number of gallons
of water in the fish tank.
Answers
Please help quick I need it
Answers
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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4) Martin compares the prices of paper towels. A 3-roll package is priced at $2.89. A single
rollis priced at $89. Based on price alone, which is the better buy?
Answers
Answer:
assuming prices are correctly shown: 3-roll packageassuming a typo: single rolls.Step-by-step explanation:
If single rolls are indeed priced at $89 each, the 3-roll package is a much better buy.
We suspect that the single rolls are priced at $0.89 each, which means you can buy 3 of them for less than $2.70. At this price, single rolls are a better buy.
The owner of the Texans football team wants to paint their red, white, and blue logo on the side of a building at their training facility. However, the existing paint, which would comprise the background for the logo, is beginning to deteriorate. The owner is considering re-painting the building with a special weatherproof paint prior to adding the logo. If the special background paint costs $1.25 per square foot, how much money will the owner have to spend on the paint for the background
Answers
Answer:
$393.75
Step-by-step explanation:
cost of special background paint = $1.25 per square foot
Area of background = area of triangle + area of rectangle
= 1/2 ( b*h) + L * B
= 1/2 ( 5 * 6 ) + 5 * 4 = 15 + 20 = 35 yd^2
Given that 1 yd^2 = 9 ft^2
35 yd^2 = ( 9 * 35 ) ft^2
Hence area of background = 315 ft^2
Cost = 315 * 1.25 = $393.75
Farmer Chris is boxing up eggs to sell from his chickens. Each box holds 12 eggs and he has 75 boxes to fill . How many eggs will farmer Chris use?
Answers
Answer:
900 eggs
Step-by-step explanation:
75x12=75x10=750
75x2 =150
total=750+150=900 eggs
Can anyone help me with this problem. College Calculus 1
Answers
Step 1:
When by either
f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
In general, a vertical stretch is given by the equation
y=bf(x). If b>1, the graph stretches with respect to the y-axis, or vertically. If b<1, the graph shrinks with respect to the y-axis. In general, a horizontal stretch is given by the equation y=f(cx) If c>1, the graph shrinks with respect to the x-axis, or horizontally. If c<1, the graph stretches with respect to the x-axis.
Step 2:
The function is vertically stretched by a factor of 2.
\(\begin{gathered} Parent\text{ function} \\ y\text{ = }\sqrt[]{4x-x^2} \\ \text{When a function is stretched by a factor of 2} \\ \text{The new function becomes } \\ y\text{ = 2}\sqrt[]{4x-x^2} \end{gathered}\)Step 3:
A horizontal translation is generally given by the equation
y=f(x−a). These translations shift the whole function side to side on the x-axis.
Hence, the function is translated 6 units to the right
\(y\text{ = 2}\sqrt[]{4(x-6)-(x-6)^2}\)Final answer
\(\begin{gathered} \text{The function is} \\ \text{y = 2}\sqrt[]{4(x-6)-(x-6)^2} \end{gathered}\)
find exact value sin 9pie/ 4
Answers
The exact value of expression sin 9π/4 is,
⇒ sin 9π/4 = 1 / √2
We have to given that;
Expression to find exact value is,
⇒ sin 9π/4
Now, WE can change it into degree as,
⇒ 9π/4
⇒ 9 × 180 / 4
⇒ 9 × 45
⇒ 405 degree
Hence, We get;
⇒ sin 9π/4
⇒ sin 405°
⇒ sin (360 + 45°)
⇒ sin 45°
⇒ 1 / √2
Thus, The exact value of expression sin 9π/4 is,
⇒ sin 9π/4 = 1 / √2
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The probability that a certain movie will win an award for acting is 0.15, the probability that it will win an award for direcing is 0.23, and the probability that it will win both is 0.09. Find the probabilities of the following.
a. The movie wins an award for acting, given that it wins both awards.
b. The movie wins an award for acting, given that it wins exactly one award.
c. The movie wins an award for acting, given that it wins at least one award.
Answers
Answer:
a) 0.15 / 0.09
b) 0.15 / 1
c) 0.15 / 0.23
How do you solve 6^14/(2^5)(3^7)?
Answers
Answer:
1119744
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
\(\frac{6^{14}}{(2^5)(3^7)}\)
Step 2: Evaluate exponents
6¹⁴ = 78365164096
2⁵ = 32
3⁷ = 2187
Step 3: Replace
\(\frac{78364164096}{32(2187)}\)
Step 4: Multiply
\(\frac{78364164096}{69984}\)
Step 5: Divide
1119744
The graph shows the solution to which systems of inequalities? y 6 LO 4 3 2 1 1 -3 -2 -1 0 -1 1 2 3 4 5 6 7 8 -2 -3
Answers
Answer:
I don't get your question
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints.
6) (-7, -10), (-2, -3)
(separate questions)
7) (-4,-3), (8, 2)
Answers
Question 6
\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)
Question 7
\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)
simplify (1+tan^2x)/(tan^2x)
[?]^2x
Answers
Answer:
1+tan2x=sec2x.
Explanation: Change to sines and cosines then simplify.
Please help me I don't understand this.
Answers
The height of the plane to the nearest meter is, 1023. So option A is correct
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
To find the height of the plane, we can use the following formula:
height = horizontal distance x tanα
Plugging in the given values, we have:
height = 4,812 × tan(12°)
= 4,812 × 0.21213
= 1,015.7 meters
Rounding to the nearest meter, the height of the plane is 1,016 meters.
So the answer is 1,016 meters
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Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
Answers
The given line is in the form Ax + By = C, where A = 3, B = 2, and C = -1. To find the slope of this line, we can rearrange the equation in slope-intercept form (y = mx + b), where m is the slope:
3x + 2y = -1
2y = -3x - 1
y = (-3/2)x - 1/2
The slope of the given line is -3/2. Since a line perpendicular to this line will have a negative reciprocal slope, we can find the perpendicular slope by taking the negative reciprocal of -3/2:
Perpendicular slope = -1 / (-3/2) = 2/3
Now we have the slope of the perpendicular line, and we can use the point-slope form of a line (y - y₁ = m(x - x₁)) to find its equation. Plugging in the values (5, 3) for (x₁, y₁) and 2/3 for m:
y - 3 = (2/3)(x - 5)
Expanding and simplifying:
3y - 9 = 2x - 10
2x - 3y = 1
Therefore, the equation of the line that is perpendicular to 3x + 2y = -1 and passes through the point (5, 3) is 2x - 3y = 1.
To find the equation of a line parallel to the given line and passing through the point (5, 3), we can use the same method. Since parallel lines have the same slope, the slope of the parallel line will also be -3/2.
Using the point-slope form with (5, 3) and -3/2:
y - 3 = (-3/2)(x - 5)
Expanding and simplifying:
2y - 6 = -3x + 15
3x + 2y = 21
Therefore, the equation of the line that is parallel to 3x + 2y = -1 and passes through the point (5, 3) is 3x + 2y = 21.
What’s the correct answer for this?
Answers
Answer: 1.55 and 0.65 in order
Step-by-step explanation:
6.19 / 4 = 1.55 and that is in the first box
4 / 6.19 = 0.65 and that is in the second box
The function g(x) is a translation 2 units right and 5 units up of fx)-√√x. Which of
the following represents g(x)?
8(x)=√√x-2+5
8(x) = 2√√x+5
8(x) = √√x+5+2
8(x)=√x+2-5
Answers
The correct representation of the function g(x) as a translation 2 units right and 5 units up of f(x) = -√√x is:
g(x) = -√√(x - 2) + 5.
To perform a translation 2 units right, the x-coordinate needs to be replaced with (x - 2). This shift moves the entire graph horizontally to the right by 2 units.
Additionally, to shift the graph 5 units up, we add 5 to the function. Thus, the function g(x) is obtained by taking the negative square root of the square root of (x - 2) and then adding 5 to the result.
Among the given options, g(x) = -√√(x - 2) + 5 accurately represents the translation described, while the other options either have incorrect sign placement, incorrect order of operations, or an incorrect translation direction.
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Can someone help me with this? Linear equation
Answers
Answer:
hope it helps
Step-by-step explanation:
x+2=6
3x=10
6+3x=22
5-3x=15
3+x=6y I'm sure about this one
5+x=y/4=23
Unit 1 Cumulative Assessment
Multiple Choice
Let f(x) = x2 and g(x) = x - 6. What is f-g?
a
A. X²-6
B. x2 - 36
O
C. x2 - 12x - 36
D. x2 - 12x + 36
Answers
What is 2 ÷
1
6
?
StartFraction 1 Over 12 EndFraction
2
6
12
Answers
Answer:
0.125
Step-by-step explanation:
I calculated 2 divided by 16, and got 0.125.
Answer:
12
Step-by-step explanation:
I got it right on edg
Three people put their names in a hat, then each draw a name, as part of a randomized gift
exchange. What is the probability that no one draws their own name? What about with four
people? Explain in detail how you arrived at your answer. (Hint: the answer is not 25% or
75%.)
Answers
The probability of no one drawing their own name is 9/24 = 3/8.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.
The probability that no one draws their own name in a randomized gift exchange can be found using derangements. A derangement is a permutation of a set where none of the elements are in their original position.
With three people, there are 3! = 6 possible permutations. There is only one permutation where no one draws their own name, which is a derangement. Therefore, the probability of no one drawing their own name is 1/6.
With four people, there are 4! = 24 possible permutations. There are nine derangements, which can be calculated using the formula for derangements: \(D(n) = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!).\)
Therefore, the probability of no one drawing their own name is 9/24 = 3/8.
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if s is the part of the sphere that lies above the cone find the following: 1. s can be parametrized by a vector equation
Answers
If surface , S is the part of the sphere, x² + y²+ z² =1 ,lies above the cone, x² + y² = z
a)| ⃗rᵩ × ⃗rθ| = ⟨sin²φ cosθ,sin²φsinθ, sinφcosφ⟩
b)∫∫ z² ds = ₀∫ˣ₀∫ʸcos²φ dφdθ,
S
where x = 2π and y = π/4
What is Parametrizing Surfaces?
A surface in space given in Cartesian coordinates as f(x,y,z) = 0, can be parametrized as a vector function with two parameters,
r(u,v)= ⟨r₁(u,v) , r₂(u,v) , r₃(u,v)⟩ , (u,v)∈R²
We have, S is a part of Sphere , x² + y²+ z² =1 , lies above the cone, x² + y² = z and surface S parametrized by following vector equation ,
r(θ, φ) = ⟨sinφ cosθ , sinφsinθ,cosφ⟩ --(1)
⃗rᵩ = ∂r/∂φ =⟨cos φ cosθ,cos φ sinθ,-sin φ⟩
⃗rθ= ∂r/∂θ=⟨- sinφ sinθ , sinφ cosθ ,0⟩
| ⃗rᵩ × ⃗rθ| =| i j k |
|cosφcosθ cosφ sinθ -sinφ |
|- sinφsinθ sinφ cosθ 0 |
= i( 0 + sinφ cosθsinφ) -j(0- (- sinφsinθ)(-sinφ)) + k(sinφ cosθ cosφcosθ - (-sinφ sinθ ) cosφ sinθ)
= (sin²φcosθ )i + (sin²φsinθ)j + (sinφcosφ(sin²θ+cos²θ))k
= sin²φcosθ )i + (sin²φsinθ)j +(sinφcosφ)k
| ⃗rᵩ× ⃗rθ|=⟨sin²φcosθ ,sin²φsinθ,sinφcosφ⟩
b) from part (a) we get,
x = sinφ cosθ
y = sinφsinθ
z = cosφ
are spherical coordinates of S where, 0≤φ≤π/4 and 0≤ θ≤ 2π.
so, ∫∫ z² ds = ₀∫ˣ₀∫ʸcos²φ dφ dθ ,
S
where x = 2π and y = π/4
So,Surface integeral is equals to ₀∫ˣ₀∫ʸcos²φ dφ dθ.
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Complete question:
If Sis the part of the sphere x2 + y2 + x2 = 1 that lies above the cone z= x2 + y2, find the following: a)S can be parametrized by a vector equation
r(θ, φ) = ⟨sinφ cosθ , sinφsinθ , cosφ ⟩ then a)| ⃗rᵩ × ⃗rθ| = ?
b) ∫∫ z² ds = ?
S