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.

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: Find number of ninth - graders who prefer math

The total number of ninth - graders is 63 and 40 prefer English. So the number of ninth - graders who prefer math is $63 - 40=23$.

Step2: Find number of tenth - graders who prefer English

The total number of tenth - graders is 26 and 18 prefer math. So the number of tenth - graders who prefer English is $26 - 18 = 8$.

Step3: Find number of eleventh - graders who prefer math

The total number of eleventh - graders is 29 and 15 prefer English. So the number of eleventh - graders who prefer math is $29 - 15=14$.

Step4: Find number of twelfth - graders who prefer math

The total number of twelfth - graders is 67 and 32 prefer English. So the number of twelfth - graders who prefer math is $67 - 32 = 35$.

Answer:

  • Twenty - three ninth graders and fifteen eleventh graders prefer math. (False)
  • Fourteen eleventh graders prefer math and eight tenth graders prefer English. (True)
  • Thirty - five twelfth graders prefer math and nine tenth graders prefer English. (False)
  • Twenty - three ninth graders and thirty - five twelfth graders prefer math. (True)
  • Eighteen tenth graders prefer English and fourteen eleventh graders prefer math. (False)

So the correct statements are: Fourteen eleventh graders prefer math and eight tenth graders prefer English; Twenty - three ninth graders and thirty - five twelfth graders prefer math.