Simplify (10 + 3i)(5 − 2i).
2 answers:
Answer: The correct option is
(C) 56-5i.
Step-by-step explanation: We are given to simplify the following product of complex numbers :
To simplify the given product, we must multiply each term of the first factor each term of the second factor and will be using the following vale of i :
From (i), we get
Thus, the required simplified form is 56-5i.
Option (C) is CORRECT.
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Answer:
Therefore the variance on the data set is 8.3
Step-by-step explanation:
In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:
mean = sum of each element / number of elements
mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6
We can now find the variance by applying the following formula:
So applying the data from the problem we have:
s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)
s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4
s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3
Therefore the variance on the data set is 8.3