QUESTION IMAGE
Question
- the math teachers at miller intermediate made an experiment to determine how many delta math lesson students were completing in both the 7th and 8th grade. the results of their experiment are in shown in the table.
| 0-20 | 21-30 | more than 30 | |
|---|---|---|---|
| 8th grade | 25 | 45 | 30 |
based on the results, what is the experimental probability that a student is in the 7th grade and completed more than 30 delta math lessons?
type a response
Step1: Find total number of students
First, calculate the total number of students by summing all the values in the table.
For 7th grade: \(15 + 25 + 60 = 100\)
For 8th grade: \(25 + 45 + 30 = 100\)
Total students: \(100 + 100 = 200\)
Step2: Find favorable outcomes
The number of 7th grade students who completed more than 30 lessons is 60 (from the table: 7th grade, MORE THAN 30 column).
Step3: Calculate probability
Experimental probability is the number of favorable outcomes divided by the total number of outcomes.
So, probability \(= \frac{\text{Number of 7th grade, more than 30}}{\text{Total number of students}} = \frac{60}{200} = \frac{3}{10} = 0.3\)
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\(\frac{3}{10}\) (or \(0.3\))