If
then the derivative is
Critical points occur where . This happens for
In the first case, we find
In the second,
So all the critical points occur at multiples of , or
. (This includes all the even multiples of
.)
Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY, gets an average of 35.4 inches of rain eac
h year, with a standard deviation of 4.2 inches.
During what percentage of years does Ithaca get more than 40 inches of rain?
a. approximately 13.7%
b. approximately 10.95%
c. approximately 31.2%
During what percentage of years does Ithaca get more than 40 inches of rain?
a. approximately 13.7%
b. approximately 10.95%
c. approximately 31.2%
1 answer:
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Answer:
0.08065
Step-by-step explanation:
Given that in a recent study,1 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months with whom you discussed matters that are important to you.
If X is random variable then X has mean 2.2 and s = 1.4
n=2006
Std error of mean =
For 99% since sample size is large, t and z distn almost coincide.
Hence we can take 2.58 as critical value
Margin of error at 99% =
Calculate the hypotenuse( h ) using Pythagoras' identity
h =√(4² + 7²) = √(16 + 49) = √65
sinΘ = 4 / √65 ⇒ cscθ = √65 / 4
cosθ = 7/ √65 ⇒ secθ = √65 / 7
tanθ = ⇒ cotθ =