Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
Answer:
(C) (2,0)
Step-by-step explanation:
The mid point of the line segment is defined as the point on that line that divides the line segment in to two congruent segments and is denoted as:
Mid point=
Now, the line segment having the points (-2,4) and (6,-4) has the mid point:
Mid point= 
=
Hence, the mid point of the given line segment is: (2,0)
Therefore, Option C is correct.
Answer:
C. The standard deviation of the sample mean will be smaller than the population standard deviation.
Step-by-step explanation: Standard deviation is described as the square root variance,it is a Mathematical and statistical analysis tool used to understand the variation of treatments or values around the Mean.
The higher the Population the more the chances for deviation from the Mean, samples are always less than the entire population so the chances for variations will be less with sample than with the population.
What are the options? Where are the statments??
