Bridget surveyed some students at her school about their favorite classes. Of the students surveyed, 3 said Spanish was their favorite class, while 9 of the students had other favorite classes. If Bridget surveys 8 more students, how many of them should she expect to pick Spanish, based on past data?
3/12 = x/20
Cross multiply and solve for x.
To find out how many of the 8 additional students Bridget should expect to pick Spanish as their favorite class, we need to calculate the probability based on the past data.
First, determine the total number of students surveyed initially. The given information mentions that 3 students said Spanish was their favorite class, while 9 students had other favorite classes. Therefore, the total number of students surveyed can be calculated as:
3 (students who picked Spanish) + 9 (students with other favorite classes) = 12 students surveyed initially.
Next, calculate the probability of a student picking Spanish. Divide the number of students who picked Spanish by the total number of students surveyed:
3 (students who picked Spanish) / 12 (total students surveyed initially) = 1/4.
Now that we have the probability, we can use it to estimate how many of the 8 additional students will pick Spanish. Multiply the probability by the number of additional students:
1/4 (probability) * 8 (additional students) = 2 students.
Therefore, based on past data, Bridget should expect that 2 of the 8 additional students will pick Spanish as their favorite class.