The mean of all integers between 6 and 24 is?
2 answers:
Answer:
15
Step-by-step explanation:
The mean is basically the average. To find it, we add up all the numbers and then divide that sum by the number of numbers.
Here, we need to find the sum: 7 + 8 + 9 + ... + 22 + 23. To do so, we can use the formula: , where a_1 is the first number (7 in this case), a_n is the last number (23 in this case), and n is the number of numbers (23 - 7 + 1 = 17 numbers in this case). So:
is the sum.
Now, we need to divide 255 by the number of numbers, which is 17: 255/17 = 15.
Thus, the mean is 15.
Hope this helps!
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I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product
You should know from your classes that i^2 = -1, thefore the numerator simplifies to
You can do it as a curious thing, but simplifying yields the result: