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Sagot :
Answer:
94.5%
Step-by-step explanation:
0.2 x 0.95 (Quizzes)
+ 0.1 x 0.97 (Homework)
+ 0.35 x 0.92 (Unit Tests)
+ 0.35 x 0.96 (Speaking assignments)
= 0.945
The final Spanish grade of Andre for the considered score he achieved is given by: Option B: 94.5%
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Equivalently, it is:
[tex]a \times \dfrac{b}{100}[/tex]
Let the maximum achievable grade be 'G' for this case.
Then, we have, in terms of score,
- Quizzes = 20% of G
- Homework = 10% of G
- Unit test = 35% of G
- Speaking assignments = 35% of G
Now, Andre got:
- 95% on his quizzes
- 97% on his homework,
- 92% on his unit tests, and
- 96% on his speaking assignments
Thus, the score he obtained is:
Total score = 95% of (20% of G) + 97% of (10% of G) +92% of (35% of G) +96% of (35% of G)
[tex]= G \times \dfrac{20}{100} \times \dfrac{95}{100} + G\times \dfrac{10}{100} \times \dfrac{97}{100} + G\times \dfrac{35}{100} \times \dfrac{92}{100} + G\times \dfrac{35}{100} \times \dfrac{96}{100}\\\\= G(0.20*0.95 + 0.10 * 0.97 + 0.35 *0.92 + 0.35 * 0.96 )\\= G ( 0.945)\\\\= G \times \dfrac{94.5}{100}[/tex]
Thus, the score he got is 94.5% of G.
Thus, the final Spanish grade of Andre for the considered score he achieved is given by: Option B: 94.5%
Learn more about percent here:
https://brainly.com/question/11549320
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