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

Math 18 90

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.

Question

deaunaharris2 deaunaharris2

04-11-2026
Mathematics

Answered

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

Math 18 90

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.

Verified Answer :

Related Questions

I need the as I read graphic organizer for war of the worlds

Make statement true 17 2 3 83

What is the tone of the following excerpt from Edgar Allan Poes The Masque of the Red Death

List all the factors of 15 Tell whether 15 is prime or composite

Can you explain in words how do you solved 1 14 times 2

which statements about Western African kingdoms of the 1300 and 1400 are correct

LOOK 25 POINTS YALL this is a logicmath combo question that was from my 5th grade math book singapore math just for fun I never solved it on my own MUST SHOW AL

In what three ways do the state legislative branches resemble the federal governments legislative branch

please read first The thousand injuries of Fortunato I had borne as I best could but when he ventured upon insult I vowed revenge You who so well know the natur

Which single transformation can be applied to the graph of $y=72 \sqrt{x}$ to produce the graph of $y=9 \sqrt{x}$? A. vertical translation B. vertical compr

GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-04T00:12:51-05:00

Calculate missing math and English preference counts for each grade based on the provided totals.
9th grade: $M_9=23, E_9=40$.
10th grade: $M_{10}=18, E_{10}=8$.
11th grade: $M_{11}=14, E_{11}=15$.
12th grade: $M_{12}=35, E_{12}=32$.
The true statements are:
$\boxed{\text{Fourteen eleventh graders prefer math and eight tenth graders prefer English.}}$
$\boxed{\text{Twenty-three ninth graders and thirty-five twelfth graders prefer math.}}$

Explanation

Calculate Missing Values in the Table

To find the number of students in each grade who prefer math or English, we use the fact that the sum of students preferring math and English in each grade equals the total number of students in that grade. Let $M_g$ and $E_g$ be the number of students in grade $g$ who prefer math and English, respectively. The data provided is as follows:

9th grade: $M_9 + E_9 = 63$. We are given $E_9 = 40$, so $M_9 = 63 - 40 = 23$.
10th grade: $M_{10} + E_{10} = 26$. We are given $M_{10} = 18$, so $E_{10} = 26 - 18 = 8$.
11th grade: $M_{11} + E_{11} = 29$. We are given $E_{11} = 15$, so $M_{11} = 29 - 15 = 14$.
12th grade: $M_{12} + E_{12} = 67$. We are given $E_{12} = 32$, so $M_{12} = 67 - 32 = 35$.

We can verify the total number of students preferring math: $M_9 + M_{10} + M_{11} + M_{12} = 23 + 18 + 14 + 35 = 90$, which matches the provided total. Similarly, the English total is $40 + 8 + 15 + 32 = 95$, which also matches.

Evaluating the Statements

Now we evaluate each of the given statements:

"Twenty-three ninth graders and fifteen eleventh graders prefer math." Since $M_9 = 23$ and $M_{11} = 14$, this statement is false.
"Fourteen eleventh graders prefer math and eight tenth graders prefer English." Since $M_{11} = 14$ and $E_{10} = 8$, this statement is true.
"Thirty-five twelfth graders prefer math and nine tenth graders prefer English." Since $M_{12} = 35$ and $E_{10} = 8$, this statement is false (the English count for 10th graders is 8, not 9).
"Twenty-three ninth graders and thirty-five twelfth graders prefer math." Since $M_9 = 23$ and $M_{12} = 35$, this statement is true.
"Eighteen tenth graders prefer English and fourteen eleventh graders prefer math." Since $E_{10} = 8$ and $M_{11} = 14$, this statement is false (the English count for 10th graders is 8, not 18).

Examples

Surveys are essential in education for understanding student engagement and tailoring curricula to meet their needs. By calculating missing data from such surveys, school administrators can identify trends in student interests—like determining which grades show a stronger affinity for math or English. This data-driven approach helps in resource allocation, such as scheduling more math electives or providing additional language support where needed, ultimately fostering a more balanced and effective learning environment for all students.