Does -2 (6 - 3x) = -12 + 6x have any solutions?
2 answers:
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Given:
The temperature of the first 6 days in march is:
23F, 58F, 62F, 64F, 64F, 65F
23 F is removed from the data set.
To find:
How much greater is the range of the original 6 temperatures than the range of the 5 temperatures.
Solution:
Range of a data set is:
Range = Maximum value - Minimum value
The given data set is:
23 F, 58 F, 62 F, 64 F, 64 F, 65 F
The range of given data set is:
Range = 65 - 23
= 42
If the temperature 23 F is removed from the data set, then the new data set is:
58 F, 62 F, 64 F, 64 F, 65 F
The range of this new data set is:
Range = 65 - 58
= 7
Now, the difference between original range and new range is:
The original range is 35 more than the new range. Therefore, the correct option is a.