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question 12 of 20 (1 point) | question attempt: 1 of unlimited
a school gave some of its students an assessment on two subjects: language and math. each students score was classified as at grade level, above grade level, or below grade level for each subject.
here is a summary of the data the school got after assessing 100 students.
| language | math | number of students | ---- | ---- | ---- | at grade level | at grade level | 9 | at grade level | above grade level | 15 | at grade level | below grade level | 7 | above grade level | at grade level | 11 | above grade level | above grade level | 12 | above grade level | below grade level | 13 | below grade level | at grade level | 14 | below grade level | above grade level | 11 | below grade level | below grade level | 8 | suppose the school will assess 125 more students. |
how many of these 125 students will score at grade level in neither subject? use the data to make a prediction.
Step1: Find students at level in both
First, identify the number of students who scored at grade level in both language and math from the table: that is 9 students.
Step2: Calculate proportion of total
Find the proportion of these students out of the initial 100 students.
$\text{Proportion} = \frac{9}{100} = 0.09$
Step3: Predict for 125 students
Multiply the proportion by the new number of students to get the prediction.
$\text{Predicted number} = 125 \times 0.09$
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11.25, which we can round to 11 or 12 students (typically rounded to the nearest whole number, so 11 students)