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Question
question
60 high school teachers in a certain school district were asked about their highest level of education. the incomplete contingency table below shows the number of english, mathematics, and science teachers that have a bachelors or masters degree. complete the table
provide your answer below:
| english teachers | math teachers | music teachers | total | |
|---|---|---|---|---|
| masters degree | 10 | \square | \square | 35 |
| total | 15 | \square | 20 | 60 |
Step1: Find Bachelors English
Total English = 15, Masters English = 10. So Bachelors English = 15 - 10 = 5.
Step2: Find Bachelors Total Check
Bachelors: English=5, Math=14, Music=6. Total=5+14+6=25 (matches given).
Step3: Find Music Masters
Total Music = 20, Bachelors Music = 6. So Masters Music = 20 - 6 = 14.
Step4: Find Math Total
Total teachers = 60. Total English=15, Total Music=20. So Total Math = 60 - 15 - 20 = 25.
Step5: Find Masters Math
Total Math =25, Bachelors Math=14. So Masters Math=25 -14=11.
Step6: Verify Masters Total
Masters: English=10, Math=11, Music=14. Total=10+11+14=35 (matches given).
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| English Teachers | Math Teachers | Music Teachers | Total | |
|---|---|---|---|---|
| Masters Degree | 10 | 11 | 14 | 35 |
| Total | 15 | 25 | 20 | 60 |