Answer:
Three-week moving average forecast
[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]
[tex]MSE = 11.90[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{Month} & {1} & {2} & {3} & {4} & {5}& {6} & {Value} & {18} & {13} & {16} & {11} & {17} & {14} \ \end{array}[/tex]
Solving (a): Three-week moving average forecast
This is calculated as:
[tex]F_{t+1} = \frac{\sum recent\ k\ data}{k}[/tex]
Since it is three-week, we start from t = 3
For t = 3; we consider months 1, 2 and 3
[tex]F_{3+1} = \frac{18 + 13 + 16}{3}[/tex]
[tex]F_{4} = \frac{47}{3}=15.67[/tex]
For t = 4; we consider months 2, 3 and 4
[tex]F_{4+1} = \frac{13 + 16+11}{3}[/tex]
[tex]F_{5} = \frac{40}{3}=13.33[/tex]
For t = 5; we consider months 3, 4 and 5
[tex]F_{5+1} = \frac{16+11+17}{3}[/tex]
[tex]F_{6} = \frac{44}{3}=14.67[/tex]
So, the forecast are:
[tex]F_{4} =15.67[/tex]
[tex]F_{5} = 13.33[/tex]
[tex]F_{6} = 14.67[/tex]
[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]
Solving (b): MSE
To do this, we simply calculate the square of the forecast error
The forecast error (E) is:
[tex]E = Time\ Series\ Value - Forecast[/tex]
So, we have:
Forecast error The square
[tex]E_4 = 11 - 15.67 = -4.67[/tex] [tex]E_4^2 =21.81[/tex]
[tex]E_5 = 17 - 13.33 = 3.67[/tex] [tex]E_5^2 = 13.45[/tex]
[tex]E_6 = 14 - 14.67 = -0.67[/tex] [tex]E_6^2 = 0.45[/tex]
[tex]MSE = \frac{E_4^2 + E_5^2 + E_6^2}{3}[/tex]
[tex]MSE = \frac{21.81 + 13.45 + 0.45}{3}[/tex]
[tex]MSE = \frac{35.71}{3}[/tex]
[tex]MSE = 11.90[/tex]
Which one is the pair of vertical angles?
Answer:
b. angle 1 and angle 4 are vertical angles
instructions: Find the slope of the line through the points (6, 16) and \ -6,4) Make sure to simplify fractions and enter your answers with a foward slash (i.e. "/"). If the slope is undefined enter "undefined."
9514 1404 393
Answer:
1
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
m = (4 -16)/(-6 -6) = -12/-12
m = 1
The slope of the line through the given points is 1.
For the function G defined by G(x)=5x+3, find G(r+5).
Answer:
8x+5
Step-by-step explanation:
any letter will mean 1
Answer:
5(r+5)+3=5r+25+3=5)]
HELP NEEDED IMMEDIATE PLEASE AND THANKS :)
Answer:
OMGGGG wanna work on this together I need this question too
Help plzzz and no links plz and thank you
Answer:
It's B, Points a and f. -5 and 5
What is the point-slope form of a line with slope 3 that contains the point
(2, 1)?
O A. y-2 = 3(x-1)
O B. y-2 = 3(x + 1)
O c. y-1 = 3(x - 2)
O D. y + 1 = 3(x + 2)
SUBMIT
Answer:
y-1 = 3(x-2)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-1 = 3(x-2)
simplify 7x + 2 - 3x, if x = 8
Answer:
34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
(7*8)+2-(3*8)
=34
....
I need help Thank you i will give brinalist
Answer:
the answer to this is c no association.
Answer:
C
Step-by-step explanation:
The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.
Given the function f(x) = 0.5|x - 4| + 6, for what values of x is f(x) = 7
Answer:
6 or 2
Step-by-step explanation:
f(x) = 0.5|x - 4| + 6
0.5|x - 4| + 6 = 7
0.5|x - 4| = 7-6
0.5|x - 4| = 1
|x - 4| = 2
x -4 = ± 2
x-4 = 2 ==> x = 6
x-4 = -2 => x = 2
so the value of x = 6 or 2
Bonjour, je suis en 4e et j’aimerais que vous m’aidiez avec cette feuille d’exercice s’il vous plaît ? (en précisent vos réponses).
Merci d’avance.
Step-by-step explanation:
1. Soit
T = le coût d'un ticket
5T + 1.8 = 35
T = (35-1.8)/5 = 6.64
On ne sait pas le coût d'un ticket de tramway! :(
2.
a.
1 h : 60 min
x : 18
x = 1*18/60 = 0.3, ou 0.3h
b. => 1h18m = 1.3h
3. 16 L : 4 h
a.
x L : 365*24
x = 365*24 * 16/4 = 35040 L
b.
1 m^3 = 1000 L : 5.2 euros
35040 L : y euros
y = 5.2*35040/1000 = 182.21 euros (au centième)
4.
a. Voir graphique ci-attachée.
b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.
c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.
Notez la ligne bleue horizontale.
d. L'équation de la capacité (C) versus la hauteur (h) est
C(h) = (8/3)h
Pour C=270, 270 = (8/3)h => h=270*(3/8) = 101.25
5. et plus
Désolé, on vous conseil de soumettre une question de 4 parties ou moins.
What is the net price if a purchase would have come to $1,500 at the regular price, but a 3% discount applies to this purchase.
Step-by-step explanation:
100%-3%=97%
$1500*97%=$1455
help
R The measure of central angle RST is a radians What is the area of the shaded sector? S O 41 units2 4 O 811 units2 T O 16 TT units2 O 20 1 units2
Answer:
ANSWER: 8TT units
Step-by-step explanation:
hope it helps thanks❤
The area of the shaded sector RST is 8π unit²
What is area?
Area is the amount of space occupied by a two dimensional shape or object.
The area of a circle is given by:
A = π(radius)²
The circle has radius of 4 unit and angle of π radians. Hence:
Area of sector RST = (angle/2) * radius²
Area of sector RST = (π/2) * 4² = 8π unit²
The area of the shaded sector RST is 8π unit²
Find out more on area at:: https://brainly.com/question/25292087
is 3 quarts more than 3 pints?
Answer:
Yes, 3 quarts is more than 3 pints
Step-by-step explanation:
2 pints make up 1 quart
C=(7,-4) and D= (-8,5) CD=?
Answer:
Step-by-step explanation:
[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]
What is the equation of the line that passes through the given point and is perpendicular to the given line?
Point: (1,1)
Line: y=1/5x+4/5
Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}
Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
⚠️❗️⚠️❗️⚠️❗️25 POINTS PLEASE HELP ME FIND THE AREA⚠️❗️⚠️⚠️❗️⚠️❗️
Trolls will be reported
Answer:
178
Step-by-step explanation:
area of big rectangle : 143
area of small rectangle:20
area of triangle : 15
143+20+15= 178
X Cube - 5x Square - 2 x + 24
Answer:
(x+2)(x-4)(x-3)
(x²-4x+2x-2)(x-3)
(x²-2x-2)(x-3)
=x³-5x²-2x+24
So the answer true
GIVING OUTT BRAINLIEST HELP ME OUT PLSSS
What is the median of the data represented in the box plot below?
Answer: 80
Step-by-step explanation: Because it is in the middle.
Write the quadratic equation whose roots are 1 and -1, and whose leading coefficient is 4
Answer:
y = 4x² - 4
Step-by-step explanation:
y = a(x - x₁ )(x - x₂)
Plug in the knowns
y = 4(x - 1)(x + 1)
expand
y = 4(x² - 1)
y = 4x² - 4
Josef got 80% on a true/false science quiz. He got 20 questions right. How many questions were on the test? (Show all of your calculations)
Yesterday, Marissa walked 1 1/2 miles from school to the ice
cream shop and 2/3 of a mile from
the ice cream shop to her house. How many miles did Marissa walk in all?
Ill give brainliest
Answer:
2 1/6 miles
Step-by-step explanation:
1 1/2 miles + 2/3 miles = 2 1/6 miles
A boat heading out to sea starts out at Point A, at a horizontal distance of 639 feet from a lighthouse/the shore. From that point, the boat's crew measures the angle of elevation to the lighthouse's beacon-light from that point to be 11 degrees . At some later time, the crew measures the angle of elevation from point B to be . Find the 3 degrees distance from point A to point B. Round your answer to the nearest foot if necessary .
9514 1404 393
Answer:
1731 ft
Step-by-step explanation:
The tangent relation is useful in this problem.
Tan = Opposite/Adjacent
The height of the light is found to be ...
tan(11°) = height/(639 ft)
height = (639 ft)·tan(11°) . . . . . solve for height
Then the distance from the light to point B is ...
tan(3°) = height/(B distance)
B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft
Then the distance from point A to point B is ...
2370 ft -639 ft = 1731 ft . . . AB distance
Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]
As we know that CD is the height of the lighthouse, now
In Δ BCD
The tan function for the distance between the lighthouse and point B can be written as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]
Hence, the distance between the lighthouse and Point B is 2370 ft.
Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,
The Distance between Point A and B (AB) = CB - CA
= 2370 - 639
= 1731 ft.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Complete the two-way frequency table below, which shows the relationship between students who enroll in art class and in music class in a particular high school. From a sample of 60 students it is found that 23 are in art class, 34 are in music class, and 11 are enrolled in both. How many students are enrolled in either art class or music class?
Art Not in Art Total
Music 11 34
Not in Music
Total 23 60
35
14
11
46
Answer:
11
Step-by-step explanation:
solve by drawing the area model and using the standard algorithm 7,481 × 290
what is 35% written like as a decimal
Answer:
.35
Step-by-step explanation:
35%
Percent means out of 100
35% = 35/100
Writing this as a decimal
.35
Find the measure of the unknown angle.
Answer:
120 °
Step-by-step explanation:
the angle contained in a circle = 360 °
135 + 105 +? = 360
240 + ? =360
? = 360 - 240
= 120°
Retention rates in a weight loss program. Americans spend over $30 billion annually on a variety of weight loss products and services. In a study of retention rates of those using the Rewards Program at Jenny Craig in 2005, it was found that about 18% of those who began the program dropped out in the first four weeks.10 Assume we have a random sample of 300 people beginning the program.
a) What is the mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size? What is the standard deviation?
b) What is the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks?
Answer:
(a)
[tex]\mu=54[/tex]
The standard deviation is
[tex]\sigma=6.6543[/tex]
(b)
[tex]\mu=246\\\sigma=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Step-by-step explanation:
Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.
(a)
The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is
[tex]\mu=np=300\cdot 0.18=54[/tex]
The standard deviation is
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
(b)
Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is
[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Wilson and Brian are practicing for a swim meet. Last week, Wilson swam 400 meters on each day for three days. Brian swam 0.8 kilometers total for two days. Which boy swam farther last week and by how much?
Answer:
wilson swam farther by 0.4 km
Step-by-step explanation:
wilson swam 1.2km
brian swam 0.8km
1.2 - 0.8 = 0.4
Find the surface area of this rectangular prism 4ft, 8ft, 2ft
Answer:
112ft^2
Step-by-step explanation:
A = 2(wl+hl+hw)
A = 2[(4)(8)+(2)(4)+(2)(8)]
A = 2(32+8+16)
A = 2(56)
A = 112
