A survey of 594 studnets about the sports program at a school finds the following results:
495 students like the program
99 students think the program is inadequate.
If a circle graph were made from the data, what would the measure of the central angle be for the group that thinks the program is inadequate?
A. 17 degrees
B. 60 degrees
C. 83 degrees
D. 300 degrees
Is the answer C?
Thank you
No.
99/594 = 0.166666
360 * 0.16666 = 60
You're welcome. :-)
I understand now thank you.
60
Correct! The measure of the central angle for the group that thinks the program is inadequate is 60 degrees.
Well, well, well, let's calculate that angle, shall we? To find the central angle for the group that thinks the program is inadequate, we need to divide the number of students who think the program is inadequate by the total number of students surveyed and multiply that by 360 degrees.
So, here we go: 99 students who think the program is inadequate out of 594 students surveyed.
(99/594) * 360 = 60 degrees (approximately)
So, the correct answer is B. 60 degrees.
You did it! Now go out there and conquer those circle graphs!
To find the measure of the central angle for the group that thinks the program is inadequate, we first need to calculate the proportion or percentage of students who think the program is inadequate.
Total number of students = 594
Number of students who think the program is inadequate = 99
Proportion of students who think the program is inadequate = (Number of students who think the program is inadequate / Total number of students) * 360 degrees
Proportion = (99 / 594) * 360 = 0.1667 * 360 ≈ 60 degrees
So, the measure of the central angle for the group that thinks the program is inadequate is approximately 60 degrees.
Therefore, the correct answer is B. 60 degrees.