Answer:
128
Step-by-step explanation:
15-7= 8
8*2=16
2^3= 8
8(16)= 128
Answer:
Minimum.
(5, -1).
-1.
Step-by-step explanation:
Minimum value as the coefficient of x^2 is positive.
Convert to vertex form to find the minimum point:
3x^2 - 30x + 74
= 3(x^2 - 10x) + 74
= 3[(x - 5)^2 - 25 ] + 74
= 3(x - 5)^2 - 75 + 74
= 3(x - 5)^2 - 1.
This vertex form shows that the minimum is at the point (5, -1).
The value of the minimum is -1.
Z at 75% ≈ 0.674. Since the spending is more than $75, Z = -0.674
Z at 15% ≈ - 1.036. Since the spending is more than $150, Z = 1.036
Now,
Z = (x-mean)/SD => Z*SD = x-mean
Therefore,
-0.674*SD = 75 - mean ------- (1)
1.036*SD = 150 -mean ------- (2)
---------------------------------------------
(1) - (2)
-1.71SD = - 75 => SD = 75/1.71 = 43.8596
Substituting SD in (1) => -0.674*43.8596 = 75 -mean => mean = 75+(0.674*43.8596) = 104.46.
Then,
SD = 43.86, mean = 104.46
2(m) = 2m
2(7) =14
2(m-7)= 2m+14-9=9
2m-5=9
+5=+5
2m=14
2/2=14/2
m=7
2(7-7)-9=9
2-9=9
-7=9