A survey is conducted among 700 high-school students to see who their favorite college basketball teams are. If 250 students like the Hawks, 200 students like the Vikings, 50 students like the Bears, and the remaining students like the Warriors, approximately what percentage of the 700 high school students answered that the Warriors were their favorite team? (round to the nearest tenth of a percentage point)a)14.3%b)28.6%c)42.9%d)56.2%e)78.6%Correct answer is option 'B'. Can you explain this answer?

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A survey is conducted among 700 high-school students to see who their favorite college basketball teams are. If 250 students like the Hawks, 200 students like the Vikings, 50 students like the Bears, and the remaining students like the Warriors, approximately what percentage of the 700 high school students answered that the Warriors were their favorite team? (round to the nearest tenth of a percentage point)

a)
14.3%
b)
28.6%
c)
42.9%
d)
56.2%
e)
78.6%

Correct answer is option 'B'. Can you explain this answer?

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A survey is conducted among 700 high-school students to see who their ...

The correct answer is B. To ﬁnd the percentage of the 700 high-school students who answered that the Warriors were their favorite team, divide the number of students who answered Warriors by 700 and multiply by 100%. To ﬁnd the number of students who answered Warriors, add the total number of students who answered that they liked a different team and subtract that quantity from 700. Thus the percentage of students who answered

approximately 28.6%.

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A survey is conducted among 700 high-school students to see who their ...

Given:
- Total number of high-school students surveyed = 700
- Number of students who like the Hawks = 250
- Number of students who like the Vikings = 200
- Number of students who like the Bears = 50

To find:
- Approximately what percentage of the 700 high school students answered that the Warriors were their favorite team?

Solution:
To find the percentage of students who like the Warriors, we need to subtract the number of students who like the Hawks, Vikings, and Bears from the total number of students surveyed.

Step 1: Calculate the number of students who like the Warriors.
Number of students who like the Warriors = Total number of students surveyed - Number of students who like the Hawks - Number of students who like the Vikings - Number of students who like the Bears
Number of students who like the Warriors = 700 - 250 - 200 - 50
Number of students who like the Warriors = 200

Step 2: Calculate the percentage of students who like the Warriors.
Percentage = (Number of students who like the Warriors / Total number of students surveyed) * 100
Percentage = (200 / 700) * 100
Percentage ≈ 28.6%

Therefore, approximately 28.6% of the 700 high school students answered that the Warriors were their favorite team.

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