Answered

Lesson
Cool Down: Off by a Little Bit?
Clare
estimates that her brother is 4 feet tall. When they get measured at the doctor's
office, her brother's height is 4 feet, 2 inches.
1. Should Clare's or the doctor's measurement be considered the actual height?
Explain your reasoning.
2. What was the error, expressed in inches?
3. What was the error, expressed as a percentage of the actual height?



Answer :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given

  • Estimated value  - 4 feet,
  • Measured value - 4 feet, 2 inches

Solution

1. The measured height is the exact value therefore it is to be considered as actual height.

2. The error is the difference between actual and estimated values:

  • 4 feet 2 inches - 4 feet = 2 inches

3. Percent error is:

  • Error / Actual value * 100%

or

  • 2 in / 4 ft, 2 in *100% =
  • 2 in / (4*12 + 2) in * 100% =                    convert ⇒ 1 foot = 12 inches
  • 2 in / 50 in * 100% =
  • 4%

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