Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the percent error for a measurement of $2$ tons? $\newline$ If needed, round your answer to the nearest hundredth of a percent. $\newline$ $\newline$ $\_\_\_\%$

View step-by-step help

View step-by-step help

Full solution

Q. What is the percent error for a measurement of

2

tons?

\newline

If needed, round your answer to the nearest hundredth of a percent.

\newline

\newline

\_\_\_\%

Find Error in Tons: Find the greatest possible error for $2$ tons. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Assuming the smallest unit of measurement is $1$ pound (since the problem does not specify), and there are $2000$ pounds in a ton: $\newline$ $\frac{1}{2} = 0.5$ pounds $\newline$ Greatest possible error in tons: $\frac{0.5 \text{ pounds}}{2000 \text{ pounds/ton}} = 0.00025$ tons
Calculate Percent Error: Calculate the percent error. $\newline$ We have: $\newline$ Measurement: $2$ tons $\newline$ Greatest possible error: $0.00025$ tons $\newline$ Percent error = $(\text{Greatest possible error} / \text{Measurement}) \times 100\%$ $\newline$ Percent error = $(0.00025 / 2) \times 100\%$ $\newline$ = $0.000125 \times 100\%$ $\newline$ = $0.0125\%$
Round to Nearest Hundredth: Round the answer to the nearest hundredth of a percent. $0.0125\%$ rounded to the nearest hundredth of a percent is $0.01\%$ .

More problems from Percent error

Question

A square window has a perimeter of \(136\) inches. How long is each side?

\newline

\_\_\_\_\_

Posted 1 month ago

Question

What is the greatest possible error for a measurement of

2

\newline

\_\_\_

Posted 2 months ago

Question

What is the percent error for a measurement of

5

?

\newline

If needed, round your answer to the nearest hundredth of a percent.

\newline

\newline

Posted 1 month ago

Question

Which measurement is more precise?

\newline

\newline

29.4

\newline

31

Posted 2 months ago

Question

A new dictionary in the shape of a rectangular prism will have a thickness of

3

inches (in). The volume of the dictionary will be

216 \mathrm{in}^{3}

. What must be the area of the front cover, a face perpendicular to the thickness, in square inches?

Posted 4 months ago

Question

Sako's garden is

6

yards long. What is the length of his garden in feet?

Posted 2 months ago

Question

Avery is designing a large rectangular sign. They want the sign to have an area of

2\,\text{m}^2

\frac{4}{5}\,\text{m}

. How tall should the sign be?

Posted 2 months ago

Question

Find the monthly payment for a

30

100000

4\%

Posted 2 months ago

Question

Gabriel is designing a rectangular planter box for their garden. It needs to cover an area of

15 \frac{1}{2} \text{ m}^2

. Gabriel wants it to be

7 \frac{3}{4}

long. How wide does the planter box need to be?

Posted 2 months ago

Question

An electrician plans to install solar panels on a rectangular section of roof with an area of

180\text{m}^2

. This width of this section of roof is

7\frac{1}{5}

Posted 2 months ago