Answer :
Sure! Let's break down the problem and find the missing values step by step.
We need to fill in the missing values for the table. Here's what we have:
### Step by Step Calculation:
1. Off-white Square:
- We know the total for off-white is 33, and off-white rectangle is 10.
- To find the off-white square, we subtract the number of rectangles from the total:
[tex]\[
\text{Off-white square} = \text{Off-white total} - \text{Off-white rectangle} = 33 - 10 = 23
\][/tex]
2. Bright White Rectangle:
- We know the column total for squares is 48.
- We need to find the bright white rectangle. To do this, we subtract the bright white square (25) and the off-white square (23) from the total squares (48):
[tex]\[
\text{Bright white rectangle} = \text{Column total square} - (\text{Bright white square} + \text{Off-white square}) = 48 - (25 + 23) = 0
\][/tex]
3. Finding [tex]\(x\)[/tex]:
- [tex]\( x \)[/tex] represents the row percentage for off-white rectangles.
- The total number of off-white items is given as 33.
- The number of off-white rectangles is 10.
- We calculate the percentage for [tex]\( x \)[/tex] as:
[tex]\[
x = \left(\frac{\text{Off-white rectangle}}{\text{Off-white total}}\right) \times 100 = \left(\frac{10}{33}\right) \times 100 \approx 30.30\%
\][/tex]
### Final Values:
- Bright white rectangle = 0
- Off-white square = 23
- [tex]\( x \)[/tex] (off-white rectangle row percentage) = 30.30%
These are the missing values and steps needed to fill the table.
We need to fill in the missing values for the table. Here's what we have:
### Step by Step Calculation:
1. Off-white Square:
- We know the total for off-white is 33, and off-white rectangle is 10.
- To find the off-white square, we subtract the number of rectangles from the total:
[tex]\[
\text{Off-white square} = \text{Off-white total} - \text{Off-white rectangle} = 33 - 10 = 23
\][/tex]
2. Bright White Rectangle:
- We know the column total for squares is 48.
- We need to find the bright white rectangle. To do this, we subtract the bright white square (25) and the off-white square (23) from the total squares (48):
[tex]\[
\text{Bright white rectangle} = \text{Column total square} - (\text{Bright white square} + \text{Off-white square}) = 48 - (25 + 23) = 0
\][/tex]
3. Finding [tex]\(x\)[/tex]:
- [tex]\( x \)[/tex] represents the row percentage for off-white rectangles.
- The total number of off-white items is given as 33.
- The number of off-white rectangles is 10.
- We calculate the percentage for [tex]\( x \)[/tex] as:
[tex]\[
x = \left(\frac{\text{Off-white rectangle}}{\text{Off-white total}}\right) \times 100 = \left(\frac{10}{33}\right) \times 100 \approx 30.30\%
\][/tex]
### Final Values:
- Bright white rectangle = 0
- Off-white square = 23
- [tex]\( x \)[/tex] (off-white rectangle row percentage) = 30.30%
These are the missing values and steps needed to fill the table.