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A company sells furniture for home assembly. Their largest bookcase has shelves that should be 105 cm, with a tolerance of 0.8 cm (105cm 0.8cm). A set of six shelves had lengths of 105.3 cm, 105.2 cm, 104.1 cm, 105.1 cm, and 105.9 cm. Find the minimum and maximum allowable shelf length. Which , if any, of the shelves are not within the specified tolerance?

User Nickbusted
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Answer:

Minimum allowable shelf length = 105 cm - 0.8 cm = 104.2 cm

Maximum allowable shelf length = 105 cm + 0.8 cm = 105.8 cm

The third shelf measuring 104.1 cm is not within the specified tolerance.

The fifth shelf measuring 105.9 cm is also not within the specified tolerance.

Explanation:

i)A company sells furniture for home assembly. Their largest bookcase has shelves that should be 105 cm, with a tolerance of 0.8 cm (105cm 0.8cm). A set of six shelves had lengths of 105.3 cm, 105.2 cm, 104.1 cm, 105.1 cm, and 105.9 cm. Find the minimum and maximum allowable shelf length. Which , if any, of the shelves are not within the specified tolerance?

ii) Minimum allowable shelf length = 105 cm - 0.8 cm = 104.2 cm

iii) Maximum allowable shelf length = 105 cm + 0.8 cm = 105.8 cm

iv) The third shelf measuring 104.1 cm is not within the specified tolerance.

The fifth shelf measuring 105.9 cm is also not within the specified tolerance.

User Dschoni
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