Answered

As part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the students' eye color and hair color. The table contains the survey results. Match the descriptions with the correct values.

\begin{tabular}{|l|c|c|c|c|c|}
\hline \multicolumn{5}{|c|}{ Eye Color } & \\
\hline Hair Color & Blue & Gray & Green & Brown & Marginal Total \\
\hline Blond & 42 & 5 & 21 & 10 & 78 \\
\hline Red & 12 & 22 & 19 & 12 & 65 \\
\hline Brown & 22 & 5 & 12 & 34 & 73 \\
\hline Black & 9 & 3 & 11 & 64 & 87 \\
\hline Marginal Total & 85 & 35 & 63 & 120 & 303 \\
\hline
\end{tabular}

Descriptions:
1. Number of students with gray eyes and brown hair
2. Difference of the number of students with gray eyes and brown hair and the number of students with green eyes and black hair
3. Difference of the number of students with green eyes and blond hair and the number of students with blue eyes and red hair

Values:
A. 5
B. 8
C. 9

Match the descriptions with the correct values.



Answer :

GinnyAnswer
Let's look at the descriptions and match them with the correct values from the survey results:

1. Number of students with gray eyes and brown hair:
From the table, the number of students with gray eyes and brown hair is 5.

2. Difference of the number of students with gray eyes and brown hair and the number of students with green eyes and black hair:
From the table, the number of students with gray eyes and brown hair is 5, and the number of students with green eyes and black hair is 11.
The difference is [tex]\( 5 - 11 = -6 \)[/tex].

3. Difference of the number of students with green eyes and blond hair and the number of students with...
Let's assume the sentence should complete with "42". From the table, the number of students with green eyes and blond hair is 21, and we need to find the difference with 42.
The difference is [tex]\( 42 - 21 = 21 \)[/tex].

Thus, the correct matches are:

- Number of students with gray eyes and brown hair → 5
- Difference of the number of students with gray eyes and brown hair and the number of students with green eyes and black hair → -6
- Difference of the number of students with green eyes and blond hair and the number of students with 42 → 21