11. Solve the inequality. Show your work. |r + 3| ≥ 7
1 answer:
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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:
Step-by-step explanation:
The first set of parentheses is unnecessary, so it can just be removed.
To remove the second set of parentheses, you must distribute the negative sign that is to its left. It changes every sign inside the parentheses.
Now you combine like terms.