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Let ​(4.0​, 8.32​) represent an interval on the number line. Complete parts​ (a) and​ (b) below. ​(a) Find the value that is in the middle of the interval. The value is nothing. ​(Type an integer or a decimal. Do not​ round.) ​(b) Find the distance from the middle of the interval to either endpoint. The distance is 4.32. ​(Type an integer or a decimal. Do not​ round.)

User Novitoll
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2 Answers

3 votes

Final answer:

The middle value of the interval (4.0, 8.32) is 6.16. The distance from the middle of the interval to either endpoint is incorrect; it should be 2.16, not 4.32.

Step-by-step explanation:

To find the value that is in the middle of the interval (4.0, 8.32), we need to calculate the midpoint. The midpoint, M, can be found using the average of the starting and ending values: M = (start + end) / 2. Therefore, M = (4.0 + 8.32) / 2 = 12.32 / 2 = 6.16. This is the value that is in the middle of the interval.

Next, we determine the distance from the middle of the interval to either endpoint. This distance, D, is the absolute difference between the midpoint and one of the endpoints. Using the given distance, D = 4.32, one can verify it by calculating D = |M - start| = |6.16 - 4.0| = 2.16, which does not match the provided distance 4.32. Therefore, there might be an error in the provided distance, as the correct distance should be 2.16.

User Wloleo
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2 votes

Answer:a

Step-by-step explanation:

User Kevin Dolan
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