Answer :
To determine the probability that a randomly selected pet is a female puppy, we need to follow these steps:
1. Identify the total number of pets:
According to the given table, the total number of pets is calculated by adding all entries in the 'Total' column.
[tex]\[ \text{Total number of pets} = 19 + 7 = 26 \][/tex]
2. Identify the number of female puppies:
According to the table, the number of female puppies is listed specifically in the row for puppies under the 'Female' column.
[tex]\[ \text{Number of female puppies} = 2 \][/tex]
3. Calculate the probability:
The probability of selecting a female puppy is given by the ratio of the number of female puppies to the total number of pets. We can then convert this probability to a percentage.
[tex]\[ \text{Probability} = \frac{\text{Number of female puppies}}{\text{Total number of pets}} = \frac{2}{26} \][/tex]
4. Convert the fraction into a percentage:
To find the percentage, multiply the fraction by 100.
[tex]\[ \text{Probability as a percentage} = \left( \frac{2}{26} \right) \times 100 \][/tex]
5. Simplify and compute the percentage:
Perform the division and multiplication operation.
[tex]\[ \frac{2}{26} \approx 0.0769 \][/tex]
[tex]\[ 0.0769 \times 100 = 7.69 \][/tex]
6. Round to the nearest tenth of a percent:
According to the requirement, we need to round the result to the nearest tenth of a percent.
[tex]\[ 7.69\% \approx 7.7\% \][/tex]
Thus, the probability that a randomly selected pet is a female puppy, when expressed as a percent rounded to the nearest tenth of a percent, is:
[tex]\[ \boxed{7.7\%} \][/tex]
1. Identify the total number of pets:
According to the given table, the total number of pets is calculated by adding all entries in the 'Total' column.
[tex]\[ \text{Total number of pets} = 19 + 7 = 26 \][/tex]
2. Identify the number of female puppies:
According to the table, the number of female puppies is listed specifically in the row for puppies under the 'Female' column.
[tex]\[ \text{Number of female puppies} = 2 \][/tex]
3. Calculate the probability:
The probability of selecting a female puppy is given by the ratio of the number of female puppies to the total number of pets. We can then convert this probability to a percentage.
[tex]\[ \text{Probability} = \frac{\text{Number of female puppies}}{\text{Total number of pets}} = \frac{2}{26} \][/tex]
4. Convert the fraction into a percentage:
To find the percentage, multiply the fraction by 100.
[tex]\[ \text{Probability as a percentage} = \left( \frac{2}{26} \right) \times 100 \][/tex]
5. Simplify and compute the percentage:
Perform the division and multiplication operation.
[tex]\[ \frac{2}{26} \approx 0.0769 \][/tex]
[tex]\[ 0.0769 \times 100 = 7.69 \][/tex]
6. Round to the nearest tenth of a percent:
According to the requirement, we need to round the result to the nearest tenth of a percent.
[tex]\[ 7.69\% \approx 7.7\% \][/tex]
Thus, the probability that a randomly selected pet is a female puppy, when expressed as a percent rounded to the nearest tenth of a percent, is:
[tex]\[ \boxed{7.7\%} \][/tex]
