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:

Step1: Calculate the number of ninth - graders who prefer math

Since the total number of ninth - graders is \(63\) and the number of ninth - graders who prefer English is \(40\), then the number of ninth - graders who prefer math is \(63 - 40=23\).

Step2: Calculate the number of tenth - graders who prefer English

Since the total number of tenth - graders is \(28\) and the number of tenth - graders who prefer math is \(18\), then the number of tenth - graders who prefer English is \(28 - 18 = 10\).

Step3: Calculate the number of eleventh - graders who prefer math

Since the total number of eleventh - graders is \(29\) and the number of eleventh - graders who prefer English is \(15\), then the number of eleventh - graders who prefer math is \(29 - 15=14\).

Step4: Calculate the number of twelfth - graders who prefer math

Since the total number of twelfth - graders is \(67\) and the number of twelfth - graders who prefer English is \(32\), then the number of twelfth - graders who prefer math is \(67 - 32 = 35\).

Answer:

• "Twenty - three ninth graders and fifteen eleventh graders prefer math" is false.
• "Fourteen eleventh graders prefer math and eight tenth graders prefer English" is false.
• "Thirty - five twelfth graders prefer math and nine tenth graders prefer English" is false.
• "Twenty - three ninth graders and thirty - five twelfth graders prefer math" is true.
• "Eighteen tenth graders prefer English and fourteen eleventh graders prefer math" is false.

So the correct statement is: Twenty - three ninth graders and thirty - five twelfth graders prefer math.