Is this a function and what's the domain and range. thanks!
2 answers:
This is not a function. Why not? Because it fails the vertical line test. The input x = 3 leads to more than one output (eg: y = 1, y = 2, y = 3). A function is only possible if each input leads to exactly one output.
Domain = {3} so basically x is only allowed to be x = 3.
Range = set of y values such that y is between 1 and 5 (including both endpoints. As a compound inequality, the range is written as
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The upper 70th percentile is the number below which 70% of the data lie.
The 70th percentile position is given by:
Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).
Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74
The 25th data in the data set is 58.
Therefore, the upper P70 is 58.
</span>
The 70th percentile position is given by:
Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).
Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74
The 25th data in the data set is 58.
Therefore, the upper P70 is 58.
</span>
Answer:
$551
Step-by-step explanation:
The maximum profit is found where the derivative of the profit function is 0.
y' = -2x +62 = 0
x = 62/2 = 31
Then the maximum profit is ...
y = (-x +62)x -410
y = (-31 +62)(31) -410 = 961 -410 = 551
Assuming the profit is in dollars, the maximum profit the company can make is 551 dollars.
