Answer :
Final answer:
When we round the height to the nearest cm, its bounds would be half a cm less than and half a cm more than the stated height. Therefore, the bounds for the door's height are 194.5 cm (lower bound) and 195.5 cm (upper bound).
Explanation:
The subject of your question pertains to the concept of rounding and its associated implications in mathematics. When the height of the door is stated as being 195 cm to the nearest cm, it means that the actual height of the door was rounded to the nearest cm - in this case, 195 cm. Therefore, the actual height of the door could potentially be a little less than 195 cm or a little more.
The 'bounds' of the door height refer to the maximum ('upper bound') and minimum ('lower bound') values the actual door height could be, based on the level of precision of the given measurement. Given that the height is measured to the nearest cm, the lower bound is hence half a cm less than the given height and the upper bound is half a cm more than the given height. Therefore, the correct answer is C) 194.5 cm and 195.5 cm.
The upper and lower bounds of the door's height can be determined by considering the nearest centimeter to 195 cm. Since the door's height is given as 195 cm to the nearest cm, the upper bound would be 196 cm (one cm higher than 195 cm) and the lower bound would be 194 cm (one cm lower than 195 cm).
Learn more about Rounding here:
https://brainly.com/question/29022222
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