To find the interval of possible masses, we need to consider the maximum and minimum values that the mass could be, given the percentage error.
The maximum mass will be the original mass plus the maximum percentage error:
Maximum mass = 58 g + (2% of 58 g) = 58 g + (0.02)(58 g) = 58 g + 1.16 g = 59.16 g
The minimum mass will be the original mass minus the maximum percentage error:
Minimum mass = 58 g - (2% of 58 g) = 58 g - (0.02)(58 g) = 58 g - 1.16 g = 56.84 g
Therefore, the interval of possible masses of cereal bars from this factory is from 56.84 g to 59.16 g.
A factory produces cereal bars with mass 58 g, and percentage error up to 2%. Find the interval of possible masses of cereal bars from this factory.
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