Answered

From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Discover comprehensive answers from knowledgeable members of our community, covering a wide range of topics to meet all your informational needs.

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.​

Sagot :

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

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.