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Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in imillimetres, the lower bound of his measurement.​

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Xero099idn

The lower bound of the measurement is 65.5 millimetres.

A centimetre equals 10 millimetres, a measure is expressed by the measured magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:

[tex]y = x + \epsilon[/tex] (1)

Where:

  • [tex]x[/tex] - Measured magnitude, in millimeters.
  • [tex]y[/tex] - Possible magnitude, in millimeters.
  • [tex]\epsilon[/tex] - Uncertainty, in millimeters.

If we know that [tex]y = 67.5\,mm[/tex] and [tex]\epsilon = 1\,mm[/tex], then the lower bound of the measurement is:

[tex]y = 67.5\,mm - 2\cdot (1\,mm)[/tex]

[tex]y = 65.5\,mm[/tex]

The lower bound of the measurement is 65.5 millimeters.

We kindly invite to check this question on measurements: https://brainly.com/question/4205362

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