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madreJ [45]
2 years ago
11

A high school teacher gives three regular exams during a semester and one final exam at the end of the semester. A student’s fin

al grade is found by taking of the student’s three regular exam scores and then adding 40% of the student’s final exam score. Sophia earned scores of 78, 92, and 80 on the three regular exams and a score of 90 on the final exam. What is Sophia’s final grade?
Mathematics
1 answer:
statuscvo [17]2 years ago
5 0
To get an average score of 80% (out of four exams), a total of 4*80%=320% is needed, so the minimum required for the 4th test is 320-(75+97+60)=88.
To get an average score of 89% (out of four exams), a total of 4*89%=356% is needed, so the maximum required for the 4th test is 356-(75+97+60)=124, which is impossible.
So the next exam grade must range between 88 and 100 to get a grade b in the class.

Hoped I help! Mark brainly it would help<3
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oksano4ka [1.4K]

Answer:

Mean : 95

Median : 85

Mode : 90

Part B : Impossible

Step-by-step explanation:

We can make an equation to find the mean using the first 5 history test scores.

85=\frac{80+75+90+75+95+n}{6} \\ \\ 85=\frac{415+n}{6} \\ \\ 510=415+n \\ \\ n=95

So a 95 would be needed to have a mean of 85.

Next, the median.

First, we sort the first 5 history scores from least to greatest.

We get 75, 75, 80, 90, 95.

Since, 80 is the middle value, it will be used in the calculation of the median.

We can make an equation with this.

82.5=\frac{80+n}{2} \\ \\ 165=80+n \\ \\ n=85

So a score a 85 would be needed to have a median of 82.5

Thirdly, the mode.

Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).

Finally, Part B.

We can use the equation we had for the first mean calculation but change 85 to 90.

90=\frac{80+75+90+75+95+n}{6} \\ \\ 90=\frac{415+n}{6} \\ \\ 540=415+n \\ \\ n=125

So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.

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3 years ago
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Answer:

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Step-by-step explanation:

The point where both lines meet is the solution to the system of equations.

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Step-by-step explanation:

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Step 2: Divide both sides by 3.

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So your answer will be 6,2.

Another answer to your question would be 4,1.
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