Answer:
a = 94
b = -66√3
Step-by-step explanation:
Given z = 

![(-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2](https://tex.z-dn.net/?f=%28-1-i%5Csqrt%7B3%7D%29%5E6%3D%5B%28-1-i%5Csqrt%7B3%7D%29%5E3%5D%5E2)
![=[(1+i\sqrt{3})^3]^2](https://tex.z-dn.net/?f=%3D%5B%281%2Bi%5Csqrt%7B3%7D%29%5E3%5D%5E2)
[(a + b)³ = a³ + b³ + 3a²b + 3ab²]
= [1 + 3i² + 3i√3 + 9i²]²
= [1 - 3 + 3i√3 - 9]²
= [-11 + 3i√3]²
= (11)² -2(3i√3)(11) + (3i√3)²
= 121 - 66i√3 + 27i²
= 121 - 66i√3 - 27
= (94 - 66i√3)
Comparing it with (a + bi),
a = 94 and b = -66√3
Answer:
−
5.55
−
4.2
c
Step-by-step explanation:
Answer:
A. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last less than 184184 days.
Step-by-step explanation:
The mean, standard deviation, and population size can be used for the analysis. In the problem above, the population size is 100 and the estimated number of days for no pregnancy to occur is less than approximately 184 days. This shows that there will not be any pregnancy for any given day that is below the 184th day.
Answer:
33 inches
Step-by-step explanation:
The problem above shows a <em>"direct proportion,"</em> which means that when one quantity increases <em>(days)</em>, the other quantity increases<em> (inches of rain).</em>
Step 1: Represent the amount of rain by n.
Step 2: Setup a proportion.
=
(where 14 refers to the number of days in 2 weeks)
Step 3: Cross multiply:
15 x 31 = 14n
465 = 14n
Step 4: Find n by dividing both sides by 14.
n = 33.21
Step 5: Round off to the nearest inch.
n = 33 inches