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? Fill in the missing values from each table.

Respuesta :

Answer and explanation-
Absolute Frequency Table:
- Perfect squares: 7
- Long rectangles: 11

Relative Frequency Table:
- Bright white tiles: 0.35
- Off-white tiles: 0.65

To find the missing values, we need to calculate the total number of tiles. From the absolute frequency table, we know that there are 7 perfect squares and 11 long rectangles. So, the total number of tiles is 7 + 11 = 18.

Now, let's calculate the missing values in the relative frequency table. Since the relative frequencies represent proportions, we can use the formula:

Relative frequency = Absolute frequency / Total number of tiles

For the missing value of bright white tiles:
Relative frequency of bright white tiles = Absolute frequency of bright white tiles / Total number of tiles
0.35 = Absolute frequency of bright white tiles / 18

Solving for the missing value, we get:
Absolute frequency of bright white tiles = 0.35 * 18 = 6.3 (rounded to the nearest whole number)

For the missing value of off-white tiles:
Relative frequency of off-white tiles = Absolute frequency of off-white tiles / Total number of tiles
0.65 = Absolute frequency of off-white tiles / 18

Solving for the missing value, we get:
Absolute frequency of off-white tiles = 0.65 * 18 = 11.7 (rounded to the nearest whole number)

So, the missing values are:
- Absolute frequency of bright white tiles: 6
- Absolute frequency of off-white tiles: 12