{24, 95, 76, 60, 15, 48, 80, 75} a. Mean = b. Median c. Mode =
1 answer:
Answer:
a)59.125, b)67.5, c)None
Step-by-step explanation:
Mean = All values added up and divided by the number of values
Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two. The middle ones are 60 & 75 so
Mode = The number that repeats more times. In this case none of them repeat.
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substitute in the equation:
The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5.
<h3>How to determine the product of two complex numbers</h3>
Let be two numbers of the form <em>z = a + i · b</em>, where <em>i =</em> √-1, the product of two of these numbers in <em>rectangular</em> form is described by the following formula:
<em>z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c)</em> (1)
If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:
<em>z₁ · z₂ =</em> 7.794 - i · 13.5
The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5.
<h3>Remark</h3>
The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:
<em>Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.</em>
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To learn more on complex numbers, we kindly invite to check this verified question: brainly.com/question/10251853