Answer with Step-by-step explanation:
The given differential equation is
Now the above differential equation can be re-written as
Checking for exactness we should have
As we see that the 2 values are equal thus we conclude that the given differential equation is exact
The solution of exact differential equation is given by
The value of can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)
Becouse k and n are 'neighbours' so their sum are 180
so k=180-42=138
Answer:
Population is <u>></u> 1,000,000, 000
Step-by-step explanation:
Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
2.3+0.23 = 2.53
2.53+0.023 = 2.553