Alright, let’s determine the percent abundance of medium nails in the sample step-by-step:
1. Find the Total Number of Nails:
We start by adding up the number of short, medium, and long nails.
- The number of short nails is 67.
- The number of medium nails is 18.
- The number of long nails is 10.
Adding these together gives the total number of nails:
[tex]\[
\text{Total number of nails} = 67 + 18 + 10 = 95
\][/tex]
2. Calculate the Percent Abundance of Medium Nails:
The percent abundance of a certain type of nail is calculated as the number of that type of nail divided by the total number of nails, and then multiplied by 100 to convert it into a percentage.
For medium nails:
[tex]\[
\text{Percent abundance of medium nails} = \left(\frac{\text{Number of medium nails}}{\text{Total number of nails}}\right) \times 100
\][/tex]
Substituting the numbers:
[tex]\[
\text{Percent abundance of medium nails} = \left(\frac{18}{95}\right) \times 100
\][/tex]
3. Simplify the Calculation:
[tex]\[
\text{Percent abundance of medium nails} = \left(\frac{18}{95}\right) \times 100 \approx 18.947368421052634
\][/tex]
Thus, the percent abundance of medium nails in the sample is approximately [tex]\( 18.95\% \)[/tex].
