Ishaan to have a score of 97 on the next exam have an overall average of 85
What is the mean of exam scores?
The mean of exam scores is the sum of the scores divided by the number of exams taken, more like an average of all scores
Initially, average score on 4 exams is 82
average=total score/number of exams
average score on 4 exams=82
total score =unknown=assume it is
number of exams=4
82=x/4
x=4*82
x=328
In order to have an overall average score of 85, we would sum the total score of 4 exams and the fifth exam and divide by 5 exams
85=(328+y)/5
85*5=328+y
425=328+y
y=425-328
y=97
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Answer:
See below
Step-by-step explanation:
<u>Sides of the garden</u>
<u>New dimensions of the garden</u>
<u>1. The area of the new garden</u>
- (16 + 2x)(8 + x) =
- 2x^2 + 32x + 128
<u>2. The difference in area </u>
- 2x^2 + 32x + 128 - 16*8 =
- 2x^2 + 32x
<u>3. x= 2 effect on the area</u>
- 2*2^2 + 32*2 =
- 8 + 64 =
- 72 ft²
<u>4. Area difference = 160</u>
- 2x^2 + 32x = 160
- x^2 + 16x - 80 = 0
- Solving we get positive root of 4 ft
<u>5. Area difference = 4 times</u>
- 2x^2 + 32x = 128*3
- 2x^2 + 32x - 384 = 0
- x^2 + 16x - 192= 0
- Solving we get positive root of 8 ft
Let p and w represent the speed of the plane and the speed of the wind, respectively.
.. speed = distance/time
.. p +w = 720/3 = 240
.. p -w = 720/4 = 180
Add the two equations to eliminate w.
.. 2p = 420
.. p = 210
.. w = p -180 = 30
The speed of the wind is 30 mph.
The speed of the plane in still air is 210 mph.
Answer:
Step-by-step explanation:
Let C be the number of correct answers
Let B be the number of questions not answered
Let W be the wrong answers
Total = 2*C + B - W
It's a trinomial. There are three unrelated terms.
Answer:
x=−2
Step-by-step explanation:
