Answer :
To find the complement of the given event, we need to determine the percentage of nineteen-year-old males who are not at least 173 pounds.
1. Understand the Given Information:
We know that 74% of nineteen-year-old males weigh at least 173 pounds.
2. Define the Complement:
The complement of an event is everything that is not part of the original event. So, for this problem, we are looking for the percentage of nineteen-year-old males who do not weigh at least 173 pounds.
3. Calculate the Complement:
Since the total percentage for all possibilities must add up to 100%, the complement can be calculated by subtracting the given percentage from 100%.
[tex]\[
\text{Percentage of males not at least 173 pounds} = 100\% - 74\%
\][/tex]
4. Perform the Subtraction:
[tex]\[
100\% - 74\% = 26\%
\][/tex]
So, 26% of nineteen-year-old males are not at least 173 pounds.
1. Understand the Given Information:
We know that 74% of nineteen-year-old males weigh at least 173 pounds.
2. Define the Complement:
The complement of an event is everything that is not part of the original event. So, for this problem, we are looking for the percentage of nineteen-year-old males who do not weigh at least 173 pounds.
3. Calculate the Complement:
Since the total percentage for all possibilities must add up to 100%, the complement can be calculated by subtracting the given percentage from 100%.
[tex]\[
\text{Percentage of males not at least 173 pounds} = 100\% - 74\%
\][/tex]
4. Perform the Subtraction:
[tex]\[
100\% - 74\% = 26\%
\][/tex]
So, 26% of nineteen-year-old males are not at least 173 pounds.
