In a survey, three out of seven people named blue as their favorite color. One out of six named red. If 1,092 people were included in the survey, how many named neither blue or red as their favorite color a:650 b:468 C:442 D:86
Assuming they only picked one colour, so there is no overlap
1/6 picked red and 3/7 picked blue
so 1/6+3/7 or 25/42 picked red or blue
---> 17/42 did not pick either red or blue
so ....
To find the number of people who named neither blue nor red as their favorite color, we need to subtract the number of people who named blue or red from the total number of people surveyed.
The number of people who named blue as their favorite color is 3 out of 7, so we can calculate the number of people who named blue as follows:
Number of people who named blue = (3/7) * 1092 = 468
Similarly, the number of people who named red as their favorite color is 1 out of 6, so we can calculate the number of people who named red as follows:
Number of people who named red = (1/6) * 1092 = 182
To find the number of people who named neither blue nor red as their favorite color, we subtract the sum of those who named blue and red from the total number surveyed:
Number of people who named neither blue nor red = 1092 - (468 + 182) = 442
Therefore, the correct answer is C: 442.
To find the number of people who named neither blue nor red as their favorite color, we need to subtract the number of people who named blue or red from the total number of people in the survey.
Let's calculate the number of people who named blue:
3 out of 7 people named blue as their favorite color, so the proportion of people who named blue is 3/7.
Therefore, the number of people who named blue is (3/7) * 1092 = 469.71 (rounded to the nearest whole number).
Now, let's calculate the number of people who named red:
1 out of 6 people named red as their favorite color, so the proportion of people who named red is 1/6.
Therefore, the number of people who named red is (1/6) * 1092 = 182 (rounded to the nearest whole number).
To find the number of people who named neither blue nor red, we subtract the sum of the people who named blue and red from the total number of people in the survey:
1092 - (469 + 182) = 441.
Therefore, the correct answer is option C: 442.