Answer:
Step-by-step explanation:
The average value theorem sets:
if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that
, where
f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4
f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4
⇒
c≅130
The student council at mountain view high school plans to conduct a survey to determine the student body's opinion of the new lu
1 answer:
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Answer:
Now we can calculate the p value with the following probability:
The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.
Step-by-step explanation:
Information given
represent the mean for sample 1 (younger)
represent the mean for sample 2 (older)
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for the group 2
sample size for the group 2
t would represent the statistic
System of hypothesis
We want to test if that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And the degrees of freedom are given by
Replacing the info given we got:
Now we can calculate the p value with the following probability:
The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.
Answer:
Step-by-step explanation:
Let the function of quantity in the lung of air be A(t)
So
so, A(t) = Amax sin t + b
A(t) = 2.8t⇒ max
A(t) = 0.6t ⇒ min
max value of A(t) occur when sin(t) = 1
and min value of A(t) = 0
So b = 0.6
and A(max) = 2.2
at t = 2 sec volume of a is 0.6
So function reduce to
and t = 5 max value of volume is represent
so,
when t = 5
so the equation becomes