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kaheart [24]
3 years ago
13

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

e final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 22.5%, and the final exam is worth 32%. Compute the weighted average for the following scores: 85 on the lab, 95 on the first major test, 91 on the second major test, and 76 on the final exam. (Enter your answer to one decimal place.)
Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

The weighted average for the following score is   W = 85.72

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  23% of  total grade  i.e 0.23

   The worth of each major test is 22.5% of the total grade  0.225

   The  worth of the final  exam is  32% of the total  grade 0.32

   The  score on lab is 85  

    The score on first major test is 95

    The score on the second major test is 91

     The score on the final exam is  76

Generally the weighted average is mathematically represented as

     W  =  [0.23 *  85 ]+ [0.225 * 95] +  [0.225 * 91 ]+ [0.32 *76  ]

=>  W = 85.72

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Step-by-step explanation:

You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as x and the number of chickens there are as y.

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There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, 2x+2y=64. Then, I would subtract that from the first equation, eliminating y. 2x=26. Solving for x gives 13. We can then plug that value into the second equation, making y be 32-13=19. This means that x=13 and y=19, meaning that there are 13 sheep and 19 chicken.

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