Answer:
The smoothing constant alpha is 0.20 (Option a)
Step-by-step explanation:
To solve this problem, first we write the succession of the simple exponential smoothing:
Where s(t) is the forecast for period t, s(t-1) is the forecast for period (t-1), xt is the real demand for period t, and alpha is the smoothing constant.
All but the alpha constant are known
s(t)=109.2
s(t-2)=110
xt=110-4=106
Then, we can calculate alpha as:
THIS IS ONLY FOR THE RECTANGLE SRY I COUDLNT DO THE
0.25 ft^3
A rectangular tank is a generalized form of a cube, where the sides can have varied lengths. It is bounded by six faces, three of which meet at its vertices, and all of which are perpendicular to their respective adjacent faces. The equation for calculating the volume of a rectangle is shown below:
volume= length × width × height
EX: Darby likes cake. She goes to the gym for 4 hours a day, every day, to compensate for her love of cake. She plans to hike the Kalalau Trail in Kauai and though extremely fit, Darby worries about her ability to complete the trail due to her lack of cake. She decides to pack only the essentials and wants to stuff her perfectly rectangular pack of length, width, and height 4 ft, 3 ft and 2 ft respectively, with cake. The exact volume of cake she can fit into her pack is calculated below:
volume = 2 × 3 × 4 = 24 ft3
10. b - 16.6 = -3.7.....add 16.6 to both sides
b - 16.6 + 16.6 = -3.7 + 16.6
b = -3.7 + 16.6
b = 12.9
14. 18.91 = -7.9 + x.....add 7.9 to both sides
18.91 + 7.9 = -7.9 + 7.9 + x
26.81 = x
16. 295.8997 = -10.1k....divide both sides by -10.1
295.8997 / -10.1 = (-10.1/-10.1)k
- 29.297 = k
18. -94.4724 = 3.3x....divide both sides by 3.3
- 94.4724 / 3.3 = (3.3 / 3.3)x
- 28.628 = x
20. -29.4x = -148.764...divide both sides by -29.4
(-29.4 / -29.4)x = - 148.764 / -29.4
x = 5.06
Answer:
$520.96
Step-by-step explanation:
The composite is made up of 2 semicircles and a rectangle:
⇒ Radius of the circle = 2 ft
⇒ Length of the rectangle = 5 ft
⇒ Width of the rectangle = 4 ft
Area
⇒ π(2)² + (5 x 4)
⇒ 4π + 20
⇒ 32.56 ft²
Cost
= 32.56 x 16
= $520.96
