Math Problem Statement

Tyler is bored in history class, so he is staring at the ceiling tiles. He notices that some tiles are perfect squares, while others are long rectangles. He also notices that some of the tiles are bright white, while others are off-white. He makes detailed notes on how often each of these tiles occurs. Tragically, Tyler crumpled up his notes when the teacher looked in his direction, and now he can't read all the numbers. The absolute and relative frequency tables below show the numbers that Tyler is able to read. Can you help him figure out the rest? Square Rectangle Row total Bright white

[\begin{aligned} &\text{Row %} \ &\text{Column %} \ &\text{Total %} \end{aligned}]

[\begin{aligned} &\text{71.43} \ &\text{52.08} \ &\text{36.76} \end{aligned}]

[\begin{aligned} &\text{28.57} \ &\text{50.00} \ &\text{14.71} \end{aligned}]

[\begin{aligned} &\text{100} \ &\text{------} \ &\text{51.47} \end{aligned}] Off-white

[\begin{aligned} &\text{Row %} \ &\text{Column %} \ &\text{Total %} \end{aligned}]

[\begin{aligned} &\text{69.70} \ &\text{47.92} \ &\text{33.83} \end{aligned}]

[\begin{aligned} &\text{30.30} \ &\text{50.00} \ &\text{14.71} \end{aligned}]

[\begin{aligned} &\text{100} \ &\text{-----} \ &\text{48.53} \end{aligned}] Column total

[\begin{aligned} & \text{Row %}\&\text{Column %}\&\text{Total %}\end{aligned}]

[\begin{aligned} &\text{-----} \ &\text{100} \ &\large \text{$x$} \end{aligned}]

[\begin{aligned} &\text{-----} \ &\text{100} \ &{\text{29.41}} \end{aligned}]

[\begin{aligned} &\text{100} \ &\text{100} \ &\text{100} \end{aligned}] Fill in the missing values from each table. Square Rectangle Row total Bright white [25] [10] [35] Off-white [10] Column total [20] [x= ]

Solution

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Math Problem Analysis

Mathematical Concepts

Frequency Tables
Percentage Calculations
Relative Frequencies
Data Analysis

Formulas

Row % = (Row Frequency / Row Total) × 100
Column % = (Column Frequency / Column Total) × 100
Total % = (Frequency / Grand Total) × 100

Theorems

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Suitable Grade Level

Grades 6-8