Question

1. multiselect there are 118 different elements in the periodic table. while giving a presentation, clark says that there are 128 different elements. select each true statement. (lesson 7)

there are actually 118 elements.
the amount of error in clarks estimate is 10.
the amount of error in clarks estimate is 118.
to the nearest tenth percent, the percent error in clarks estimate is 8.5%.
to the nearest tenth percent, the percent error in clarks estimate is 10%.

Explanation:

Step1: Check the first statement

The problem states there are 118 elements. So, "There are actually 118 elements" is true.

Step2: Calculate the amount of error

The amount of error is \(|128 - 118|=10\). So, "The amount of error in Clark’s estimate is 10" is true.

Step3: Calculate the percent error

The formula for percent error is \(\frac{\text{amount of error}}{\text{actual value}}\times100\%\). Substituting the values, we get \(\frac{10}{118}\times 100\% \approx 8.5\%\) (to the nearest tenth of a percent). So, "To the nearest tenth percent, the percent error in Clark’s estimate is \(8.5\%\)" is true.

Answer:

• There are actually 118 elements.
• The amount of error in Clark’s estimate is 10.
• To the nearest tenth percent, the percent error in Clark’s estimate is \(8.5\%\).