Question

a survey was conducted with high school students in each grade to see how many prefer math or english. some of the data are shown below.

	9	10	11	12	total
english	40		15	32	95
total	63	26	29	67	185

which statements are true? check all that apply.

• twenty - three ninth graders and fifteen eleventh graders prefer math.
• fourteen eleventh graders prefer math and eight tenth graders prefer english.
• thirty - five twelfth graders prefer math and nine tenth graders prefer english.
• twenty - three ninth graders and thirty - five twelfth graders prefer math.
• eighteen tenth graders prefer english and fourteen eleventh graders prefer math.

Explanation:

Step1: Calculate ninth graders who prefer math

Total ninth graders: 63, English-preferring ninth graders: 40. So math-preferring ninth graders: \( 63 - 40 = 23 \).

Step2: Calculate tenth graders who prefer English

Total tenth graders: 26, math-preferring tenth graders: 18. So English-preferring tenth graders: \( 26 - 18 = 8 \).

Step3: Calculate eleventh graders who prefer math

Total eleventh graders: 29, English-preferring eleventh graders: 15. So math-preferring eleventh graders: \( 29 - 15 = 14 \).

Step4: Calculate twelfth graders who prefer math

Total twelfth graders: 67, English-preferring twelfth graders: 32. So math-preferring twelfth graders: \( 67 - 32 = 35 \).

Now check each statement:

1. "Twenty - three ninth graders and fifteen eleventh graders prefer math." Eleventh graders preferring math is 14, not 15. False.
2. "Fourteen eleventh graders prefer math and eight tenth graders prefer English." From steps 2 and 3, this is true.
3. "Thirty - five twelfth graders prefer math and nine tenth graders prefer English." Tenth graders preferring English is 8, not 9. False.
4. "Twenty - three ninth graders and thirty - five twelfth graders prefer math." From steps 1 and 4, this is true.
5. "Eighteen tenth graders prefer English and fourteen eleventh graders prefer math." Tenth graders preferring English is 8, not 18. False.

Answer:

B. Fourteen eleventh graders prefer math and eight tenth graders prefer English.
D. Twenty - three ninth graders and thirty - five twelfth graders prefer math.