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In a recent poll conducted by the Avalanche High School student newspaper, 
45% of respondents said they have performed community service. If the poll respondents are representative of the 1,300 students attending Avalanche High School, how many students have performed community service?
Choose 1 answer:
(A) 
130
(B) 260
(C) 450
(D) 585

In a recent poll conducted by the Avalanche High School student newspaper, 45% 45 \% of respondents said they have performed community service. If the poll respondents are representative of the 11,300300 students attending Avalanche High School, how many students have performed community service?\newlineChoose 11 answer:\newline(A) 130 \mathbf{1 3 0} \newline(B) 260 \mathbf{2 6 0} \newline(C) 450450\newline(D) 585585

Full solution

Q. In a recent poll conducted by the Avalanche High School student newspaper, 45% 45 \% of respondents said they have performed community service. If the poll respondents are representative of the 11,300300 students attending Avalanche High School, how many students have performed community service?\newlineChoose 11 answer:\newline(A) 130 \mathbf{1 3 0} \newline(B) 260 \mathbf{2 6 0} \newline(C) 450450\newline(D) 585585
  1. Determine Total Students: Determine the total number of students at Avalanche High School. According to the problem, there are 1,3001,300 students attending Avalanche High School.
  2. Calculate Percentage: Determine the percentage of students who have performed community service. The problem states that 45%45\% of respondents said they have performed community service.
  3. Calculate Number of Students: Calculate the number of students who have performed community service.\newlineTo find this number, we multiply the total number of students by the percentage (in decimal form) who have performed community service.\newlineNumber of students who have performed community service =Total number of students×Percentage of students who have performed community service= \text{Total number of students} \times \text{Percentage of students who have performed community service}\newlineNumber of students who have performed community service =1,300×0.45= 1,300 \times 0.45
  4. Perform Calculation: Perform the calculation.\newlineNumber of students who have performed community service = 1,300×0.45=5851,300 \times 0.45 = 585
  5. Match with Options: Match the result with the given options.\newlineThe calculated number of students who have performed community service is 585585, which corresponds to option (D)(D).

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