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WILL GIVE BRAINLIEST 50 POINTS

Andre's Spanish grade is calculated using a weighted average. Quizzes are worth 20%, homework is worth 10%, unit tests are worth 35%, and speaking assignments are worth 35%.

Andre earned an average of 95% on his quizzes, 97% on his homework, 92% on his unit tests, and 96% on his speaking assignments.

What is Andre's final Spanish grade?


94.1%

94.5%

95.0%

95.3%

Sagot :

zhiwenc12

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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