n Juanita's Art History class Quizzes are worth 15% of the final grade, Exams are worth 55%, Projects are worth 25%, and Attendance is worth 5%. At mid-semester Juanita scored 119 out of 150 points on quizzes, 80, 85, and 96 on the first three exams,each worth 100 points. She got extra credit on her project with a score of 26 out of 25 possible points, and she had perfect attendance to class. Compute Juanita's grade percentage in the class so far. (Round your percent to 2 decimal places)

Respuesta :

Answer:

90.75%

Step-by-step explanation:

Given;

Of the total final score;

Quizzes = 15%

Exam = 55%

Project = 25%

Attendance = 5%

Resolving the values of each section of the total score;

she had perfect attendance to class. 100% attendance;

Attendance = 5% of total score

She got extra credit on her project with a score of 26 out of 25 possible points.

Project = 26/25 × 25% = 26%

80, 85, and 96 on the first three exams,each worth 100 points;

Total exam score = 80+85+96 = 261 out of 300

Of the total score;

Exam = 261/300 × 55% = 47.85%

At mid-semester Juanita scored 119 out of 150 points on quizzes.

Quizzes = 119/150 × 15% = 11.9%

Total exam score is;

= Quizzes+exam +project+attendance

= 11.9% + 47.85% + 26% + 5%

= 90.75%

The Total Grade value is "90.75%".

Calculating the Quizzes Score:

[tex]\to 15\% \times \frac{119}{150} \\\\\to \frac{15}{100} \times \frac{119}{150} \\\\\to \frac{1}{100} \times \frac{119}{10} \\\\\to \frac{1}{100} \times 11.9 \\\\\to 11.9\%[/tex]

Calculating the Exam Score:

[tex]\to 55\% \times \frac{( 80 + 85 + 96 )}{ (100 + 100 + 100)}\\\\\to 55\% \times \frac{( 261)}{ (300)}\\\\\to \frac{55}{100} \times 0.87\\\\\to \frac{47.85}{100}\\\\ \to 47.85\%[/tex]

Calculating the Extra Credit:

[tex]\to 25\% \times ( \frac{26}{25})\\\\ \to 1\% \times ( 26)\\\\ \to 26\%\\\\[/tex]

Calculating the attendance:

Attendance is flawless. Therefore, if overall attendance is 100, we can conclude she received 100.

[tex]\to 5\% \times ( \frac{100}{100}) \\\\\to 5\% \times 1 \\\\\to 5\%[/tex]

Calculating the Total Grade:

[tex]\to \text{Quiz + Exam + Extra + Attendance}\\\\ \to 11. 9\% + 47.85\% + 26\% + 5\%\\\\\to 90.75 \%[/tex]

Therefore, the final answer is "90.75%"

Learn more about the Total Grade:

brainly.com/question/13132964

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