3. A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volum
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Answer:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Step-by-step explanation:
<u>Baylor University</u>
6 players who each score 12 points per game
6 players who each score 0 points per game.
The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12
<u>University of Maryland</u>
1 player scores 58 points per game,
1 player scores 14 points per game,
The rest(10) of the players score 0 points per game.
The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58
<u> Dartmouth College</u>
4 players score 5 points per game,
4 players score 6 points per game,
4 players score 7 points per game.
The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7
The following applies:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Answer:
5 trees should be planted to maximize the yield per acre,
The maximum yield would be 1250
Step-by-step explanation:
Given,
The original number of trees per acre = 20,
Average pounds of nuts by a tree = 60,
Let x be the times of increment in number of trees,
So, the new number of trees planted per acre = 20 + x
∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,
So, the new number of pounds of nut = (60 - 2x)
Thus, the total yield per acre,
Differentiating with respect to t ( time ),
Again differentiating with respect to t,
For maxima or minima,
⇒ 20 - 4x = 0
⇒ 20 = 4x
⇒ x = 5,
For x = 5, Y''(x) = negative,
Hence, Y(x) is maximum for x = 5,
And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,
i.e. 5 trees should be planted to maximize the yield per acre,
and the maximum yield would be 1250 pounds