Math 123 Quantitative Reasoning Homework 8 - Sec 9 Weighted Averages 1. An \"A\" is considered 4.0, a \"B\" is 3.0, a \"C\" is 2.0, a \"D\" is 1.0, and an \"F\" is 0. In your first semester you received the following grades. Calculate your grade point average. (round to two decimal places) Course Credits Grade English 3.0 C Biology 4.0 B Communications 3.0 A New Student Seminar 1.0 A 2. Julie the Jeweler has fifteen gold necklaces worth $120 each, nine silver necklaces valued at $90 each, ten plated necklaces valued at $60 each and thirty beaded necklaces worth $15 each. What is the average value of a necklace at Julie's shop? (round to two decimal places) 3. A worker is exposed to 98 dB for five hours and 82 dB for a three hours, giving an eight hour working day. On average what noise level is this worker exposed to? (round to the nearest whole number) 4. On a quiz worth 5 points, four students earned a 5, seven students earned a 4, six students earned a 3, two students earned a 2, and one student earned a zero. Find the average score. (round to one decimal place) Questions 5-6. Sara is researching phones and decides to create a weighted average to determine the 'best'. She uses the following weights: 50% battery life, 30% cost, 20% camera to calculate a 'score' for each phone. She finds the following ratings out of 10 for each category on the internet. Battery Cost Camera iPhone 9 7 8 Samsung 9 7 7 Motorola 8 9 8 5. Calculate the weighted average 'score' for each phone. (round to one decimal place) 6. Which phone should Sara choose based on a weighted averages calculated in the previous question? Math 123 Quantitative Reasoning Questions 7-9. A student's final grade in chemistry is determined by the following weights: Quizzes 5% Exam 1 20% Exam 2 20% Lab Reports 15% Research Paper 15% Final Exam 25% The student received the following grades: Lab reports: 75 80 70 75 85 69 90 75 Quizzes: 85 60 70 0 75 80 80 80 Exam 1: 80 Exam 2: 70 Research paper: 85 Final exam: 75 7. What is the average lab report grade for this student? (round to three decimal places) 8. What is the average quiz score? (round to two decimal places) 9. What is the final grade for this student? (round to two decimal places) Homework 8 - Sec 9 Weighted Averages