HELP PLEASE I DON'T UNDERSTAND AND IT'S AN OVERDUE LESSON PLEASE HELP ASAP!!!!!!!!!!!!!
A survey about the student government program at a school finds the following results:
218 students like the program
27 students think the program is unnecessary
245 students plan on running for student government next year.
If a circle graph were made from this data, what would the measure of the central angle be for the group that likes the program? Round your answer to the nearest whole number.?
assuming no overlap, 218 of 490 students like the program. So, the angle is
218/490 * 360°
To find the measure of the central angle for the group that likes the program in the circle graph, we need to determine the percentage of students who like the program out of the total number of students.
First, we need to find the total number of students. To do this, we add the number of students who like the program, the number who think the program is unnecessary, and the number who plan on running for student government next year:
Total number of students = 218 + 27 + 245 = 490.
Next, we find the percentage of students who like the program by dividing the number of students who like the program by the total number of students and multiplying by 100:
Percentage of students who like the program = (218 / 490) * 100 = 44.49%.
Since the question asks for the measure of the central angle rounded to the nearest whole number, we round the percentage to the nearest whole number:
Measure of the central angle for the group that likes the program = 44%.
Therefore, the measure of the central angle for the group that likes the program in the circle graph is approximately 44 degrees.
To find the measure of the central angle for the group that likes the program, we need to calculate the percentage of students who like the program out of the total number of students surveyed.
To do that, we add the number of students who like the program (218) and the number of students who think the program is unnecessary (27):
218 + 27 = 245
Now, we can calculate the percentage:
(218 / 245) × 100 = 89.02%
To find the measure of the central angle, we multiply the percentage by 360 degrees:
89.02% × 360 degrees ≈ 320.46 degrees
Rounded to the nearest whole number, the measure of the central angle for the group that likes the program would be 320 degrees.