Write the possible range for the measurement 47 cm ± 2.2%. Round to the nearest hundredth if necessary.

Answers:
44.8 cm - 49.2 cm
45.97 cm - 48.03 cm
46.78 cm - 47.22
45.0 cm - 47.0 cm

Respuesta :

The range of possible values of the measurement is:

[45.97cm, 48.03cm]

Which is the possible range for the measurement?

Here we have the measurement:

measurement 47 cm ± 2.2%

The 2.2 percent of 47cm is:

47cm*( 2.2%/100%) = 47cm*(0.022) = 1.034 cm

Then the minimum of the measurement is:

47cm - 1.034cm = 45.97cm

The maximum of the measurement is:

47cm + 1.034cm = 48.03cm

we conclude that the correct option is the second one:

[45.97cm, 48.03cm]

If you want to learn more about ranges:

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