Question

over the past 10 years, an archaeologist planned several trips to egypt to dig for the fossilized remains of ancient dinosaurs. the table shows the results of his findings. outcome frequency bones 10 teeth 25 total 35 based on the data table, what is the empirical probability of the archaeologist finding fossilized bones? enter your answer as a percent to one decimal place, such as: 42.5%

Explanation:

Step1: Recall probability formula

The empirical - probability formula is $P(A)=\frac{\text{Number of times event }A\text{ occurs}}{\text{Total number of trials}}$. Here, the event $A$ is finding fossilized bones, the number of times it occurs is 10, and the total number of trials (total number of findings) is 35.

Step2: Calculate the probability as a fraction

$P(\text{Bones})=\frac{10}{35}=\frac{2}{7}$.

Step3: Convert the fraction to a percentage

To convert $\frac{2}{7}$ to a percentage, we use the formula $\text{Percentage}= \frac{2}{7}\times100\%$. $\frac{2}{7}\times100=\frac{200}{7}\approx28.6\%$.

Answer:

28.6%