in the survey one out of three people are named blue as their favorite color two out of seven named red is 1,092 people were included in the survey how many name either blue or red as a favorite color?
416 people
432 people
540 people••
512 people
P = 1,092 - (1/3+2/7)*1,092 =
1,092 - (7/21+6/21)*1092 =
1092 - (13/21)*1092 = 1092 - 676 = 416.
To solve this problem, we need to calculate the number of people who named either blue or red as their favorite color.
Given that one out of three people named blue and two out of seven named red, we can determine the number of people who named blue as their favorite color as follows:
1/3 * 1092 = 364 people
Similarly, the number of people who named red as their favorite color would be:
2/7 * 1092 = 312 people
To find the total number of people who named either blue or red as their favorite color, we add these two quantities:
364 + 312 = 676 people.
So, none of the provided answer choices (416, 432, 540, 512) is correct.
To find the number of people who named either blue or red as their favorite color, you need to add the number of people who named blue and the number of people who named red, and then subtract the overlap (the number of people who named both colors) from the sum.
First, let's calculate the number of people who named blue as their favorite color. The problem states that one out of three people named blue. So, to find the number of people who named blue, divide the total number of people (1,092) by 3:
1,092 ÷ 3 = 364
Therefore, 364 people named blue as their favorite color.
Next, let's calculate the number of people who named red as their favorite color. The problem states that two out of seven people named red. So, to find the number of people who named red, divide the total number of people (1,092) by 7, and then multiply the result by 2:
(1,092 ÷ 7) × 2 ≈ 312
Therefore, approximately 312 people named red as their favorite color.
Now, to find the number of people who named either blue or red, add the number of people who named blue (364) to the number of people who named red (312):
364 + 312 = 676
Therefore, 676 people named either blue or red as their favorite color.
Based on the given options, the closest answer is 540 people.