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madreJ [45]
3 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]3 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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I NEED HELP
Ann [662]

B.

Mean: 208.08

Median: 224.4

Mode: 122.4

Range: 183.6

First, we can make it easier by rearranging them from least to greatest in proper numerical form.

$120, $120, $220, $260, $300

Mean: (120 + 120 + 220+ 260 + 300)(1/5)=1020

1020 x 1.02( tax rate) = 1040.4

1040.4/5= 208.08

Median: %220 x 1.02= 224.4

Mode: 120 x 1.02 = 122.4

Range: (300 x 1.02)-(120 x 1.02)= 306-122.4

306 - 122.4 = 183.6

6 0
3 years ago
All rectangles are rhombuses. TrueFalse
Nezavi [6.7K]

Answer:

No, not every rectangles are rhombuses

Step-by-step explanation:

Rhombus has all its sides equal, but all its angles are not equal. However, opposite angles are equal.

While rectangle has all its angles equal, but all its sides are not equal. However, opposite sides are equal.

4 0
3 years ago
Consider the radical equation √c+22 = c + 2.
dimulka [17.4K]

First square both sides to get:

c + 22 = (c + 2)^2

or

c + 22 = c^2 + 4c + 4

Move the terms on the left side to the right side:

c^2 + 3c - 18 = 0

Factor to get:

(c + 6) * (c - 3) = 0.

The solutions are c = -6 and c = 3.

Check to see if these answers work by plugging them into the original equation:

c = -6:

sqrt (-6 + 22) ?= -6 + 2

But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

c = 3:

sqrt (3 + 22) ?= 3 + 2

5 = 5. So, 3 works.

The answer is: B

7 0
3 years ago
HELP PLEASE I HAVE A TIME LIMIT
kykrilka [37]

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

<h3>What is the Euler's Formula?</h3>

The Euler's formula is given as,  F + V = E + 2, where:

  • F = number of faces (number of regions)
  • V = vertices
  • E = number of edges (number of segments).

Given that the pentagonal prism has the following dimensions:

  • F = 7
  • V = 10
  • E = number of segments = ?

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

brainly.com/question/1178790

5 0
2 years ago
In which quadrants of the coordinate plane is the shaded region of the system located?
marta [7]

Answer: The answer is A

Step-by-step explanation:

I just did it on USA Test Prep, its not C

4 0
3 years ago
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