the distance from the center of a compact disc to the edge of the disc is 6 centimeters what is the area of the compact desk
2 answers:
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Answer:
52 Trees
Step-by-step explanation:
If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.
Yield = 85 X 80
Let x be the additional tree planted per acre.
For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.
Therefore, the yield:
Next, we maximize F(x) by taking its derivatives and solving for its critical point.
It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.
Therefore, number of trees per acre she should plant:
85+(-32.5)
=85-32.5
=52.5 Trees
Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.
Answer:
35.41%
Step-by-step explanation:
The average weighted mean is a mean that is calculated by multiplying the probability of an event by its quantitative outcome and then summing all the products and dividing this result by the number of people surveyed. We use this mean when not all the data has the same weight (some of them contribute more than others)
- To find the weighted mean of this data, we are going to multiply the percentage of people who liked the new diet cola by the number surveyed.
40 x 1000 = 40,000
30 x 3000= 90,000
50 x 800 = 40,000
2. Now we are going to sum these results
40,000 + 90,000 + 40,000 = 170,000
3. The total of people who were surveyed is:
1000 + 3000 + 800 = 4800.
4. Dividing the sum of the products by the number of people we get:
Therefore, the average percentage of people who prefer the taste of the new diet coke is 35.41%