<span>The one-way ANOVA or one – way analysis of
variance is used to know whether there are statistically substantial
dissimilarities among the averages of three or more independent sets. It
compares the means between the sets that is being examined whether any of those
means are statistically pointedly dissimilar from each other. If it does have a
significant result, then the alternative hypothesis can be accepted and that
would mean that two sets are pointedly different from each other. The symbol, ∑
is a summation sign that drills us to sum the elements of a sequence. The
variable of summation is represented by an index that is placed under the
summation sign and is often embodied by i. The index is always equal to 1 and
adopt values beginning with the value on the right hand side of the equation
and finishing it with the value over head the summation sign.</span>
Answer:
B
Step-by-step explanation:
(+)x(-)=(-)
(-)x(-)=(+)
The answer is- Yes, the piecewise graph is a function because it passes the vertical line test.
Hope that helped!!!
Answer:
<em><u>A.10000</u></em>
<em><u>B.25 more trees must be planted</u></em>
Step-by-step explanation:
⇒Given:
- The intial average yield per acre
= 150
- The initial number of trees per acre
= 100
- For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
- Total yield = (number of trees per acre)
(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre
=
= 200
the yield will decrease by :
- ![y_{i}](https://tex.z-dn.net/?f=y_%7Bi%7D)
![y_{f}= 150-100= 50](https://tex.z-dn.net/?f=y_%7Bf%7D%3D%20150-100%3D%2050)
⇒total yield = ![50*200=10000](https://tex.z-dn.net/?f=50%2A200%3D10000)
<em>B.</em>
⇒to maximize the yield ,
let's take the number of trees per acre to be 100+y ;
and thus the average yield per acre = 150 - y;
total yield = ![(100+y)*(150-y)\\=15000+50y-y^{2} \\](https://tex.z-dn.net/?f=%28100%2By%29%2A%28150-y%29%5C%5C%3D15000%2B50y-y%5E%7B2%7D%20%5C%5C)
this is a quadratic equation. this can be rewritten as ,
⇒ ![=15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}](https://tex.z-dn.net/?f=%3D15000%2B50y-y%5E%7B2%7D%5C%5C%3D15000%2B625%20-%20%28625%20-%2050y%20%2By%5E%7B2%7D%29%5C%5C%3D15625%20-%20%28y-25%29%5E%7B2%7D)
In this equation , the total yield becomes maximum when y=25;
<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>
Answer:
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Step-by-step explanation: