in jeromes statistics class, the final grade is based on four categories. the categories are tests, labs…

in jeromes statistics class, the final grade is based on four categories. the categories are tests, labs, homework assignments, and a final exam. the final average for the course is the weighted average of scores earned in these categories with the following weights.\n|category|weight|\n|--|--|\n|homework|30%|\n|labs|30%|\n|tests|10%|\n|final exam|30%|\nsuppose jerome earned the following grades on each of the categories:\n|homework|47%|\n|labs|56%|\n|tests|85%|\n|final exam|46%|\ndetermine jeromes weighted average in the course.\nrecord the average below as a percentage accurate to two decimal places.\ncourse average: %\n> next question

in jeromes statistics class, the final grade is based on four categories. the categories are tests, labs, homework assignments, and a final exam. the final average for the course is the weighted average of scores earned in these categories with the following weights.\n|category|weight|\n|--|--|\n|homework|30%|\n|labs|30%|\n|tests|10%|\n|final exam|30%|\nsuppose jerome earned the following grades on each of the categories:\n|homework|47%|\n|labs|56%|\n|tests|85%|\n|final exam|46%|\ndetermine jeromes weighted average in the course.\nrecord the average below as a percentage accurate to two decimal places.\ncourse average: %\n> next question

Answer

Explanation:

Step1: Convert weights to decimals

$0.3$ (homework weight), $0.3$ (labs weight), $0.1$ (tests weight), $0.3$ (final - exam weight)

Step2: Multiply each grade by its weight

Homework: $0.3\times47 = 14.1$; Labs: $0.3\times56 = 16.8$; Tests: $0.1\times85 = 8.5$; Final Exam: $0.3\times46 = 13.8$

Step3: Sum the products

$14.1 + 16.8+8.5 + 13.8=53.2$

Answer:

$53.20%$