To use De Moivre's theorem, we first write -2i is cis form: 0 - 2i has r = 2 and theta = 270.
Then we take the cube root, which means the new result will have r^(1/3), and the angle (theta/3). This means r = cbrt(2) and theta = 90.
This means that the answer is (cube root of 2)(cos90 + i*sin90), choice C.
I suspect the choices "3sqrt2" is actually a cube root of 2, not 3 multiplied by the square root of 2.
Answer:
a) 0.9964
b) 0.3040
Step-by-step explanation:
Given data:
standard deviation = $90,000
Mean sales price =$345,800
sample mean = $370,000
Total number of sample = 100
calculate z score for [/tex](\bar x = 370000)[/tex]
z = 2.689
P(x<370000) = P(Z<2.689)
FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964
B)
calculate z score for (\bar x = 350000)
z = 2.133
FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR
SO, = 0.9836 - 0.6796 = 0.3040
Answer:
D. The graph of g(x) is the graph of fix) translated to the left 7 units and up 9 units
Step-by-step explanation:
The transformation of f(x) to g(x) ...
g(x) = a·f(b·x -c) +d
involves ...
- vertical expansion by a factor of "a"
- horizontal compression by a factor of "b"
- translation to the right by "c" units
- translation up by "d" units
Here, you have a=b=1, c=-7, d=9, so the graph of f is translated left 7 units and up 9 units to make the graph of g.
Got your answer.
I drew it out on a digital drawing software I have.
