a school gave some of its students an assessment on two subjects: language and math. each students score was…

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.\nhere is a summary of the data the school got after assessing 150 students.\n| language | math | number of students |\n|--|--|--|\n| at grade level | at grade level | 31 |\n| at grade level | above grade level | 28 |\n| at grade level | below grade level | 25 |\n| above grade level | at grade level | 33 |\n| above grade level | above grade level | 4 |\n| above grade level | below grade level | 11 |\n| below grade level | at grade level | 9 |\n| below grade level | above grade level | 5 |\n| below grade level | below grade level | 4 |\nsuppose the school will assess 75 more students.\nhow many of these 75 students will score at grade level in at least one subject? use the data to make a prediction.

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.\nhere is a summary of the data the school got after assessing 150 students.\n| language | math | number of students |\n|--|--|--|\n| at grade level | at grade level | 31 |\n| at grade level | above grade level | 28 |\n| at grade level | below grade level | 25 |\n| above grade level | at grade level | 33 |\n| above grade level | above grade level | 4 |\n| above grade level | below grade level | 11 |\n| below grade level | at grade level | 9 |\n| below grade level | above grade level | 5 |\n| below grade level | below grade level | 4 |\nsuppose the school will assess 75 more students.\nhow many of these 75 students will score at grade level in at least one subject? use the data to make a prediction.

Answer

Explanation:

Step1: Count students scoring at - grade level in at least one subject in the first 150 students

Add the number of students in each category where at least one subject is at - grade level: $31 + 28+25 + 33+9 + 5=131$.

Step2: Calculate the proportion

The proportion of students scoring at - grade level in at least one subject in the first 150 students is $\frac{131}{150}$.

Step3: Predict for 75 new students

Multiply the proportion by the number of new students: $\frac{131}{150}\times75$. Since $\frac{131}{150}\times75=\frac{131\times75}{150}=\frac{131}{2}=65.5\approx66$.

Answer:

66