Answer:
Step-by-step explanation:
Find the magnitude of the complex number
Notice the magnitude is equal to
where a is the real number and b is the imaginary number.
Substitute
Multiply this by -5
Using it's concept, the standard deviation of the data-set is of 34.2.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the <u>square root of the sum of the differences squared between each observation and the mean, divided by the number of values</u>.
Having this in mind, and inserting the data-set in the calculator, it is found that:
- The standard deviation is of 34.2.
More can be learned about the standard deviation of a data-set at brainly.com/question/12180602
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Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
Answer:
2 sixths are in 1/3
Step-by-step explanation:
2/6 = 1/3