Solve the right triangle, AABC, for the missing sides and angle to
1 answer:
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Answer:
The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Step-by-step explanation:
Let , for
.
represents the temperature of the water, measured in degrees Celsius, and
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for :
And all roots are found by Quadratic Formula:
,
Only the first root is inside the given interval of the function. Hence, the correct answer is:
Now we evaluate the second derivative at given result. That is:
According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Both the sample can be used to make inferences about the population.
The correct option is D.
Given
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.
Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.
<h3>Percentage;</h3>A percentage is a number or ratio that can be expressed as a fraction of 100.
According to the question
Total number of population = 25000
Percent of a sample of Jason = 0.24%
Percent of the sample of Yolanda's = 0.32%
So, the number of the population according to Jason's sample is given by;
The number of the population according to Yolanda's sample is given by;
Hence, Both the sample can be used to make inferences about the population
To know more about the percentage click the link given below.