The same price of an item is $48 after a 40% discount what was the original price
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The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.
<h3>What is the multiplication of a complex number and its conjugate</h3>Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:
(a + i b) · (a - i b)
Then, we proceed to obtain the result by some algebraic handling:
a · (a + i b) + (- i b) · (a + i b)
a² + i a · b - i a · b - i² b²
a² - i² b²
a² + b²
If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:
To learn more on complex numbers: brainly.com/question/10251853
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Answer:
Anne is the best hitter as she has the best hitting average of 0.406
Step-by-step explanation:
Anne hits 65 bases out of 160 at - bats.
Beth's betting average = 0.399
Collin's hit = 40%
Now, we need to convert all the three hitting rates into same parameters to compare them with each other.
Average hit rate of Anne =
⇒The betting average of Anne = 0.406
Now, The hit - rate of Collin = 40%
Converting the percentage rate into decimal, we get the hit rate of Collin
=
Hence, we get that Hitting Average of :
<u>Anne = 0.406</u>, Beth = 0.3999 and Collin = 0.400
Hence, from the above data Anne is the best hitter as she has the best hitting average of 0.406.