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.
Answer:
Dear student,
Answer to your query is provided below
Probability of drawing a 2 at first is (4/52) = (1/13)
Probability of drawing a face card in second try without replacement = 12/51
Step-by-step explanation:
Total no. Of cards = 52
Total no. Of cards of 2 = 4
Prob. Of drawing 2 = 4/52
Total no. Of face card = 12
Total no.of cards left in deck = 51
Prob. Of drawing face card = 12/51
12 3/8 ÷ 3/4
change the mixed fraction to improper....
99 3
__ ÷ __
8 4
now change the sign to a multiplication sign and flip 3/4.
99 4 396
__× __= _____
8 3 24
396/24..... that changes to 16 22/24. Simplify it and it will be 16 11/12.
Answer:
haha
Step-by-step explanation:
thanks for the points
Answer:
3.6
Step-by-step explanation:
The average of 9 scores is x.
average = (sum of scores)/(number of scores)
x = (sum of scores)/9
sum of scores = 9x
The sum of the 9 scores is 9x.
The tenth score is 36 more than x, so it is x + 36.
The sum of the 10 scores is 9x + x + 36 = 10x + 36.
The average of the 10 scores is (10x + 36)/10 = x + 3.6
The difference of averages is
x + 3.6 - x = 3.6
