14 is no less than 8 times a number x plus 6.
1 answer:
You might be interested in
Answer:
208.82 ; 61.33
Step-by-step explanation:
Given the data:
Year Quarter Profit ($1000s)
1 1 45
1 2 51
1 3 72
1 4 50
2 1 49
2 2 45
2 3 79
2 4 54
3 1 42
3 2 58
3 3 70
3 4 56
The 3 period moving average :
Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²
1 _ 1 ___45 __
1 _ 2 __ 51 __
1 _ 3 __ 72 __
1 _ 4 __ 50 ______________56 ____ 36
2 _ 1 __ 49 ______________57.67__ 75.17
2 _ 2__ 45 ______________57 ____ 144
2 _ 3__ 79 ______________48 ____961
2 _ 4__ 54 ______________57.67 _ 13.47
3 _ 1__ 42 ______________59.33__300.33
3 _2 __ 58 ______________58.33__ 0.11
3 _ 3__ 70 ______________51.33__ 348.57
3 _ 4 __56 ______________56.67__0.45
MSE = Σ(Pt - Ft)² ÷ n
MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9
= 208.82
Forecast for next quarter :
(58 + 70 + 56) / 3 = 184 /3 = 61.33
Answer:
See explanation
Step-by-step explanation:
Solution:-
- We will use the basic formulas for calculating the volumes of two solid bodies.
- The volume of a cylinder ( V_l ) is represented by:
- Similarly, the volume of cone ( V_c ) is represented by:
Where,
r : The radius of cylinder / radius of circular base of the cone
h : The height of the cylinder / cone
- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.
- We will represent a proportionality of Volume ( V ) with respect to ( r ):
Where,
C: The constant of proportionality
- Hence the proportional relation is expressed as:
V∝ r^2
- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:
- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).
- Hence, the relations for each of the two bodies becomes:
&