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
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