Factorizing the denominator gives

Then the partial fraction decomposition would take the form

Answer:
And rounded up we have that n=8068
Step-by-step explanation:
The margin of error for the proportion interval is given by this:
(a)
We want for this case a 95% of confidence desired, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for this case is
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The estimated proportion for this case is
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=8068
4 1/8-2 3/4= 4 1/8 - 2 6/8= 1 3/8
2 3/5 + 1 5/6 = 2 18/30 + 1 25/30= 3 43/30 = 4 13/30
8 9/12 + 2 3/8= 8 18/24 + 2 9/24= 10 27/24 = 11 3/24= 11 1/8
3 1/3 - 1 1/2= 3 2/6 - 1 3/6 = 2 8/6 - 1 3/6= 1 5/6
Answer:
9 cans of tomato soup
Step-by-step explanation:
We are told that only cans of tomato soup and cans of chicken soup are put on the shelf.
Now, we are told that the ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17.
In fraction, this is 8/17
Now, this implies that there are 8 cans of chicken noodle soup while there are a total of 17 cans on the shelf.
Thus,
Since only cans of chicken noodles and cans of tomato soup are on the shelf, it means;
Cans of tomato soup = 17 - 8 = 9
Answer:
a)
b) 
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:

Part b
The p value would be given by this probability:

Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance