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Check Last year's freshman class at Big State University totaled 5,320 students. Of those, 1,262 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per student). The amount a student received was N($3,450, $480). If the cost of full tuition was $4,050 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition? (Round your answer to the nearest whole percent.) Percentage of students %

Check Last year's freshman class at Big State University totaled 5,320 students. Of those, 1,262 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per student). The amount a student received was N($3,450, $480). If the cost of full tuition was $4,050 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition? (Round your answer to the nearest whole percent.) Percentage of students %

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Title: Merit Scholarships and Tuition Coverage at Big State University** **Introduction:** Last year's freshman class at Big State University totaled 5,320 students. Of those, 1,262 received a merit scholarship to help offset tuition costs during their freshman year (although the amount varied per student). The amount a student received was \( \$3,450, \$480 \). **Question:** If the cost of full tuition was \$4,050 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition? (Round your answer to the nearest whole percent.) **Answer Box:** | Percentage of students | _______ % | **Explanation:** To determine the percentage of students who received a merit scholarship that did not cover the full tuition, the following steps should be taken: 1. Calculate the coverage deficit by comparing the scholarships received by students to the full tuition cost. 2. Determine the number of students receiving each scholarship amount. 3. Calculate the percentage of those who didn't receive full tuition coverage. (A thorough step-by-step mathematical calculation can be added here for better understanding of students.) **Graph/Diagram Explanation:** While there are no graphs or diagrams provided in this instance, a suitable bar graph can be helpful in visualizing the scholarship distribution among students. **For example:** - The x-axis could represent the scholarship amounts (\$3,450 and \$480). - The y-axis could represent the number of students. - Two bars could represent each scholarship amount, giving a clear visual of how many students received either amount. Such visual aids would make the comprehension of data easier for students.
Transcribed Image Text:**Title: Merit Scholarships and Tuition Coverage at Big State University** **Introduction:** Last year's freshman class at Big State University totaled 5,320 students. Of those, 1,262 received a merit scholarship to help offset tuition costs during their freshman year (although the amount varied per student). The amount a student received was \( \$3,450, \$480 \). **Question:** If the cost of full tuition was \$4,050 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition? (Round your answer to the nearest whole percent.) **Answer Box:** | Percentage of students | _______ % | **Explanation:** To determine the percentage of students who received a merit scholarship that did not cover the full tuition, the following steps should be taken: 1. Calculate the coverage deficit by comparing the scholarships received by students to the full tuition cost. 2. Determine the number of students receiving each scholarship amount. 3. Calculate the percentage of those who didn't receive full tuition coverage. (A thorough step-by-step mathematical calculation can be added here for better understanding of students.) **Graph/Diagram Explanation:** While there are no graphs or diagrams provided in this instance, a suitable bar graph can be helpful in visualizing the scholarship distribution among students. **For example:** - The x-axis could represent the scholarship amounts (\$3,450 and \$480). - The y-axis could represent the number of students. - Two bars could represent each scholarship amount, giving a clear visual of how many students received either amount. Such visual aids would make the comprehension of data easier for students.
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