(i) Given that
when 
this reduces to
(ii) Differentiate 
implicitly with respect to 
. By the chain and product rules,
(iii) Differentiating both sides of the given equation leads to
where we use the result from (ii) for the derivative of .
Solve for 
:
From part (i), we have and 
, and substituting these leads to
as required.
The surveyor selects the twentieth student who enters the building. The student do not enter the building to be surveyed but for other reasons and the researcher take advantage of that and selects them. This is a form of continence sampling.
The researcher selects every twentieth student and not any other. Therefore, the sampling is systematic in nature.
Finally, students selected to participate in the survey are free to choose if to participate in he survey or not. Therefore, it is voluntary kind of sampling.
Therefore, the applicable sampling methods are convenience, systematic, and voluntary.
Answer:
C. No, the Normal/large sample condition is not met.
Step-by-step explanation:
There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers
Answer: $2.87
Step-by-step explanation:
0.41 per pack
0.41 x 7 = 2.87
92% 23 divided by 25 is 0.92
