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\begin{tabular}{|c|c|c|c|}
\hline Sample & \begin{tabular}{c}
Number of \\
Pennies
\end{tabular} & \begin{tabular}{c}
Abundance \\
(\%)
\end{tabular} & \begin{tabular}{c}
Average \\
Mass (g)
\end{tabular} \\
\hline Pre-1982 & 8 & & 3.1 \\
\hline Post-1982 & 12 & & 2.5 \\
\hline Total & 20 & 100 & X \\
\hline
\end{tabular}

What is the percent abundance of pre-1982 pennies in the data sample above?


Sagot :

To find the percent abundance of pre-1982 pennies in the data sample above, let's proceed through the problem step-by-step:

1. Count the number of pre-1982 pennies:
- According to the table, the number of pre-1982 pennies is 8.

2. Count the number of post-1982 pennies:
- According to the table, the number of post-1982 pennies is 12.

3. Determine the total number of pennies in the data sample:
- The total number of pennies is the sum of pre-1982 and post-1982 pennies.
- So, the total number of pennies [tex]\( = 8 + 12 = 20 \)[/tex].

4. Calculate the percent abundance of pre-1982 pennies:
- The formula to find percent abundance is:
[tex]\[ \text{Percent Abundance} = \left( \frac{\text{Number of specific type of pennies}}{\text{Total number of pennies}} \right) \times 100 \][/tex]
- Substitute the values into the formula:
[tex]\[ \text{Percent Abundance of pre-1982 pennies} = \left( \frac{8}{20} \right) \times 100 \][/tex]

5. Simplify the fraction and calculate the result:
- [tex]\(\frac{8}{20} = 0.4\)[/tex]
- Therefore,
[tex]\[ 0.4 \times 100 = 40.0 \][/tex]

So, the percent abundance of pre-1982 pennies in the data sample is 40.0%.
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