Photo AI
Question 9
Here are the results of a survey of 437 people in a town. * 62 males speak Spanish. * 153 females do not speak Spanish. * 280 people do not speak Spanish. Jeff say... show full transcript
Step 1
Answer
First, we determine how many females there are in total. Since there are 437 people in the town and 280 do not speak Spanish, we can find the number of people who speak Spanish:
Next, we can find how many females there are. We know that 62 males speak Spanish; thus, the total number of males is:
With 157 males, we can find the number of females by subtracting from the total:
Step 2
Step 3
Answer
To find the proportion of females who can speak Spanish, we take the number of females who speak Spanish and divide it by the total number of females obtained earlier:
rac{127}{280}
To simplify, we can find the equivalent fraction to see if it is greater than or equal to rac{2}{5}:
rac{127 imes 5}{280 imes 5} = rac{635}{1400}
Next, we compare it to rac{2}{5}:
rac{2 imes 280}{5 imes 280} = rac{560}{1400}
Since , we conclude that the proportion of females who can speak Spanish is indeed at least rac{2}{5}.
Step 4
Report Improved Results
Recommend to friends
Students Supported
Questions answered