<span>1. Quizzes (10% each):
60 x 10/100 = 6
69 x 10/100 = 6.9
68 x 10/100 = 6.8
2. Exam (70%)
65 x 70/100 = 45.5
Add them all up now:
6 + 6.9 + 6.8 + 45.5 = 65.2
Therefore, answer is </span><span>65.2</span>
Answer:
You can plug it into a graphing website or calculator to double check
82 + 79 + 72 + 72 + 81 + 77 + 69= 532
532/7 = 76
The mean is 76
The ball takes 1.5 seconds to reach its maximum height
The ball's maximum height is 44 feet
<em><u>Solution:</u></em>
Given that,
<em><u>The height in feet after t seconds is given by the function:</u></em>
Let us first find the derivative of h(t)
Differentiate the given function with respect to t
At the maximum height the derivative of the function needs to be 0
Thus the ball takes 1.5 seconds to reach its maximum height
<h3><u>Find the ball's maximum height:</u></h3>
Substitute t = 1.5 in given function
Thus ball's maximum height is 44 feet
Given that,
The equations : 2f-5g=-9 and -7f+3g=4
To find,
The solution of the above equations.
Solution,
We have,
2f-5g=-9 ....(1)
-7f+3g=4 ......(2)
Multiply equation (1) by 7 and equation (2) by 2.
14f-35g=-63 ....(3)
-14f+6g=8 ......(4)
Add equation (3) and (4)
14f-35g -14f+6g = -63 + 8
-29g = -55
g = 55/29
g = 1.89
Put the value of g in equation (1).
2f-5(1.89)=-9
2f = -9+5(1.89)
f = 0.225
Hence, the solution of the above equations are g = 1.89 and f = 0.225.