a survey was conducted with high school students in each grade to see how many prefer math or english. some…

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.\n| |9|10|11|12|total|\n|--|--|--|--|--|--|\n|math| |18| | |90|\n|english|40| |15|32|95|\n|total|63|26|29|67|185|\nwhich statements are true? check all that apply.\n□ twenty - three ninth graders and fifteen eleventh graders prefer math.\n□ fourteen eleventh graders prefer math and eight tenth graders prefer english.\n□ thirty - five twelfth graders prefer math and nine tenth graders prefer english.\n□ twenty - three ninth graders and thirty - five twelfth graders prefer math.\n□ eighteen tenth graders prefer english and fourteen eleventh graders prefer math.
Answer
Explanation:
Step1: Analyze the table data
The number of ninth - graders who prefer math is (63 - 40=23). The number of tenth - graders who prefer English is (26 - 18 = 8). The number of eleventh - graders who prefer math is (29 - 15=14). The number of twelfth - graders who prefer math is (67 - 32 = 35).
Step2: Check each statement
- For the statement "Twenty - three ninth graders and fifteen eleventh graders prefer math": False, since 14 eleventh - graders prefer math.
- For the statement "Fourteen eleventh graders prefer math and eight tenth graders prefer English": True.
- For the statement "Thirty - five twelfth graders prefer math and nine tenth graders prefer English": False, since 8 tenth - graders prefer English.
- For the statement "Twenty - three ninth graders and thirty - five twelfth graders prefer math": True.
- For the statement "Eighteen tenth graders prefer English and fourteen eleventh graders prefer math": False, since 18 tenth - graders prefer math.
Answer:
Fourteen eleventh graders prefer math and eight tenth graders prefer English.; Twenty - three ninth graders and thirty - five twelfth graders prefer math.