Question

the pay - scale for pedros stores is based on the education level of his employees. the education levels are shown for the employees at his two stores. which matrix correctly displays the total number of employees for the two stores based on their education levels? (matrices for two stores and options a - d are shown as in the image)

Explanation:

To find the total number of employees for each education level and gender across the two stores, we need to add the corresponding entries from the two given matrices.

Let's denote the first matrix as \( M_1 \) and the second as \( M_2 \).

Step 1: GED Level

• Male: \( 8 + 2 = 10 \)
• Female: \( 3 + 5 = 8 \)

Step 2: HS Degree Level

• Male: \( 22 + 17 = 39 \)
• Female: \( 15 + 27 = 42 \) Wait, no, wait. Wait, the first matrix for HS degree is 22 (male) and 15 (female), the second is 17 (male) and 27 (female). So male: \( 22 + 17 = 39 \), female: \( 15 + 27 = 42 \)? Wait, no, looking at the options, let's check again. Wait, the first matrix (left) for GED: male 8, female 3; HS: male 22, female 15; College: male 13, female 12. The second matrix (right) for GED: male 2, female 5; HS: male 17, female 27; College: male 15, female 18.

So adding GED male: \( 8 + 2 = 10 \), GED female: \( 3 + 5 = 8 \).

HS male: \( 22 + 17 = 39 \), HS female: \( 15 + 27 = 42 \)? Wait, no, the option D has HS male 39, female 42? Wait, no, let's check the options. Wait, option D: GED male 10, female 8; HS male 39, female 42; College male 28, female 30. Wait, College male: \( 13 + 15 = 28 \), College female: \( 12 + 18 = 30 \). Yes! So let's verify each:

• GED: male \( 8 + 2 = 10 \), female \( 3 + 5 = 8 \)
• HS degree: male \( 22 + 17 = 39 \), female \( 15 + 27 = 42 \)
• College degree: male \( 13 + 15 = 28 \), female \( 12 + 18 = 30 \)

Which matches option D.

Answer:

D. GED: Male 10, Female 8; HS degree: Male 39, Female 42; College degree: Male 28, Female 30