Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Carter measures a line to be 5.17ft long. If the actual measurement is 5ft, find Carter's relative error to the nearest thousandth. Answer:

Carter measures a line to be 5.17ft 5.17 \mathrm{ft} long. If the actual measurement is 5ft 5 \mathrm{ft} , find Carter's relative error to the nearest thousandth.\newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Geometryright chevron icon
Percent errorright chevron icon

Full solution

Q. Carter measures a line to be 5.17ft 5.17 \mathrm{ft} long. If the actual measurement is 5ft 5 \mathrm{ft} , find Carter's relative error to the nearest thousandth.\newlineAnswer:
  1. Understand relative error: Understand the concept of relative error. Relative error is the absolute error divided by the actual measurement, often expressed as a percentage or in this case, to the nearest thousandth. The absolute error is the difference between the measured value and the actual value.
  2. Calculate absolute error: Calculate the absolute error.\newlineAbsolute error = ∣Measured Value−Actual Value∣|\text{Measured Value} - \text{Actual Value}|\newlineAbsolute error = ∣5.17ft−5ft∣|5.17\text{ft} - 5\text{ft}|\newlineAbsolute error = ∣0.17ft∣|0.17\text{ft}|
  3. Calculate relative error: Calculate the relative error.\newlineRelative error = Absolute errorActual Value\frac{\text{Absolute error}}{\text{Actual Value}}\newlineRelative error = 0.17 ft5 ft\frac{0.17\,\text{ft}}{5\,\text{ft}}\newlineRelative error = 0.0340.034
  4. Round relative error: Round the relative error to the nearest thousandth.\newlineRelative error rounded to the nearest thousandth = 0.0340.034 (It is already at the thousandth place, so no further rounding is needed.)

More problems from Percent error

Question
An element with mass 230230 grams decays by 27.7% 27.7 \% per minute. How much of the element is remaining after 88 minutes, to the nearest 11oth of a gram?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
An element with mass 910910 grams decays by 16.6% 16.6 \% per minute. How much of the element is remaining after 2020 minutes, to the nearest 11oth of a gram?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
An element with mass 990990 grams decays by 18.8% 18.8 \% per minute. How much of the element is remaining after 1313 minutes, to the nearest 11oth of a gram?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
An element with mass 570570 grams decays by 15.2% 15.2 \% per minute. How much of the element is remaining after 1616 minutes, to the nearest 11oth of a gram?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
An element with mass 490490 grams decays by 18.8% 18.8 \% per minute. How much of the element is remaining after 88 minutes, to the nearest 11oth of a gram?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The number 2222 is increased to 3939 . What is the percentage by which the number was increased, to the nearest tenth of a percent?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The number 3535 is increased to 3737 . What is the percentage by which the number was increased, to the nearest tenth of a percent?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The number 3232 is increased to 3535 . What is the percentage by which the number was increased, to the nearest tenth of a percent?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The number 3333 is decreased to 3232 . What is the percentage by which the number was decreased, to the nearest tenth of a percent?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The number 3535 is decreased to 3232 . What is the percentage by which the number was decreased, to the nearest tenth of a percent?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

View all (33)