Question

completing a two - way table. 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. 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:

We check each statement against the data in the two - way table. For the number of students preferring math or English in each grade, we look at the appropriate cells in the table.

Answer:

• Twenty - three ninth graders and fifteen eleventh graders prefer math: False. We need to calculate the number of ninth - graders who prefer math as \(63 - 40=23\), but the number of eleventh - graders who prefer math is \(29 - 15 = 14\), not 15.
• Fourteen eleventh graders prefer math and eight tenth graders prefer English: True. The number of eleventh - graders who prefer math is \(29 - 15=14\), and the number of tenth - graders who prefer English is \(26 - 18 = 8\).
• Thirty - five twelfth graders prefer math and nine tenth graders prefer English: False. The number of twelfth - graders who prefer math is \(67 - 32=35\), but the number of tenth - graders who prefer English is \(26 - 18 = 8\), not 9.
• Twenty - three ninth graders and thirty - five twelfth graders prefer math: True. The number of ninth - graders who prefer math is \(63 - 40 = 23\) and the number of twelfth - graders who prefer math is \(67 - 32=35\).
• Eighteen tenth graders prefer English and fourteen eleventh graders prefer math: False. The number of tenth - graders who prefer English is \(26 - 18 = 8\), not 18.

So the true statements are:

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