Answer:
μy = $6.56 ; σy = 2.77
Step-by-step explanation:
Given the data :
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
Profit, Y on pizza with current promo :
Price off on pizza = $2
Y = x - 2
μx = E(x) = $8.56
μy = μ(x - 2)
μy = μx - $2
μy = $8.56 - $2
μy = $6.56
For the standard deviation of y
σx ≈ 2.77
σy = σ(x - 2)
σy = σx - 2
Constants are treated as 0 for standard deviation
σy = 2.77
Answer: (0, 2)
3x = y - 2
6x = 4 - 2y
3x = y - 2
- y - y
-y + 3x = - 2
- 3x - 3x
-y = - 3x - 2
/-1 /-1
y = 3x + 2
6x = 4 - 2y
+ 2y + 2y
2y + 6x = 4
- 6x - 6x
2y = - 6x + 4
/2 /2
y = -3x + 2
y = 3x + 2
y = -3x + 2
3x + 2 = -3x + 2
- 2 - 2
3x = -3x
/3 /3
x = 0
y = 3x + 2
y = 3(0) + 2
y = 2
(x, y) --> (0, 2)
Therefore, the two equations intersect at (0, 2)
Hope this helps!
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