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Choosing a Gauge for a Model Channel 4 questions

Choosing a Gauge for a Model Channel

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A model channel carries a rinse solution past a sensor. The channel works only if its width is at most 1.00 mm. A gauge’s maximum error means the actual width can be that much above or below its reading. The class approves a channel only when every width in the resulting range meets the limit.

GaugeDisplayed width (mm)Maximum error (mm)
P0.960.06
Q0.980.01
R1.010.02

Question 1

Which gauge reading is enough to approve the channel under the rule?

  1. P only
  2. Q only
  3. P and Q only
  4. R only

Question 2

Find the range of possible widths for the P reading. Use the stated maximum error.

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Question 3

A student says R proves the channel is too wide. Evaluate the claim using the R range.

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The class confirms that Q and R measured the same unchanged channel and that both stated error bounds apply.

Question 4

Find a width that fits both the Q and R readings, or explain why there is none. Use both ranges to decide whether the channel can be approved under the stated rule.

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