Respuesta :
Answer:
≈ 197 students
Step-by-step explanation:
Let's start by writing what we know.
150 students sampled
68 prefer soccer
59 prefer basketball
23 prefer swimming
Part A
If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.
59/150 ≈ 39.33% Remember this is only a sample of the students so it is approximate.
Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.
39.33% = .3933
.3933 * 500 = 196.66 ≈ 197 students (because we can't have a partial student we round up)
The best approximation of the number of students in the school who prefer basketball is 197.
What is the percentage?
The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The results from a random sample of 150 students' after-school activities at a school are shown.
68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.
The percentage of students who prefer soccer will be
[tex]\rightarrow \dfrac{68}{150} = \dfrac{34}{75}[/tex]
The percentage of students who prefer basketball will be
[tex]\rightarrow \dfrac{59}{150}[/tex]
The percentage of students who prefer swimming will be
[tex]\rightarrow \dfrac{23}{150}[/tex]
If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be
[tex]\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401