Eph4joy
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Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Respuesta :

Using weighted average, it is found that she should score 67% on the computer science test.

  • The weighted average is given by each proportion multiplied by it's score.

In this problem, the proportions and scores are given by:

  • Proportion of 32% = 0.32 for a score of 300.
  • Proportion of x for a score of 200.
  • Proportion of 46% = 0.46 for a score of 300 + 200 = 500.

Then

[tex]0.32(300) + 200x = 0.46(500)[/tex]

[tex]200x = 0.46(500) - 0.32(300)[/tex]

[tex]200x = 134[/tex]

[tex]x = \frac{134}{200}[/tex]

[tex]x = 0.67[/tex]

She should score 67% on the computer science test.

A similar problem is given at https://brainly.com/question/24855677