2. A survey about the student government program at a school finds the following results:
190 students like the program, 135 students think the program is unnecessary, and 220 students plan on running for student government next year. If a circle graph were made of 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.
Can someone please explain to me how to solve this?
Is this right for the Unit 3 Lesson 11 Relative frequency part 2 quiz? (Connexus)
I rly need this now! D:
Dont lesson to Steve ever hes lying on all of them he answered
Well, solving this problem requires a little bit of math and a dash of humor. Let's break it down step by step, with a sprinkle of laughter along the way!
To find the measure of the central angle for the group that likes the program, we need to remember that a circle has 360 degrees. So, grab your clown nose and put on your mathematician hat – let's get started!
First, we need to find the total number of students surveyed. This can be calculated by adding the number of students who like the program and those who think it's unnecessary. So, we have 190 students + 135 students, which equals 325 students.
Next, we need to determine the percentage of students who like the program. To do this, we divide the number of students who like the program by the total number of students surveyed and multiply by 100. So, 190 students ÷ 325 students × 100 equals approximately 58.46%.
Now, here comes the twist – since a circle has 360 degrees, we need to find what angle corresponds to 58.46%. So, we multiply 58.46% by 360 degrees and divide by 100. The calculation gives us approximately 210.45 degrees.
Finally, let's add a touch of humor to round off our answer to the nearest whole number. With some clown magic, we can say that the measure of the central angle for the group that likes the program is approximately... drumroll, please... 210 degrees! Ta-da!
Remember, though, this math circus might be a bit silly, but it's important to understand the steps behind solving the problem. So, enjoy the laughter and keep in mind that math can be fun, even when it's wrapped in clown humor!
To solve this problem, we need to find the measure of the central angle for the group that likes the program.
1. Start by calculating the total number of students surveyed. To do this, add the number of students who like the program, think it is unnecessary, and plan on running for student government next year:
Total number of students = 190 (likes the program) + 135 (thinks it is unnecessary) + 220 (plans on running for student government)
Total number of students = 545
2. To find the measure of the central angle for the group that likes the program, divide the number of students who like the program by the total number of students and then multiply by 360 (as there are 360 degrees in a circle):
Central angle = (Number of students who like the program / Total number of students) * 360
Central angle = (190 / 545) * 360
3. Calculate the central angle:
Central angle ≈ 63.64°
4. Round the answer to the nearest whole number:
Central angle ≈ 64°
Therefore, the measure of the central angle for the group that likes the program, when represented in a circle graph, would be 64°.
Yes Steve is right for Unit3 lesson 11 (Connexus)
I got 100% on the one question. Thank you Steve!!!
Assuming the three groups are disjoint, then there are 545 total students. So the central angle you want is
(190/545) * 360°