Answer:
Now we can calculate the p value based on the alternative hypothesis with this probability:
The p value is very low compared to the significance level of 
then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24
Step-by-step explanation:
Information given
n=200 represent the random sample taken
X=75 represent the number of people Liberal
estimated proportion of people liberal
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true proportion of adults liberal is higher than 0.24:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value based on the alternative hypothesis with this probability:
The p value is very low compared to the significance level of then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24
The fourth vertex would be at point (-9,1).
The slope from (5,-4) to (3,4) is -8/2 or -4.
So I did that with (-7,-7) to the fourth vertex to get the answer.
Answer:
18
Step-by-step explanation:
58 - |-40| =
58 -40=
18
Answer:
I = 91.125
Step-by-step explanation:
Given that:
where E is bounded by the cylinder 
and the planes x = 0 , y = 9x and z = 0 in the first octant.
The initial activity to carry out is to determine the limits of the region
since curve z = 0 and
∴ 
Thus, z lies between 0 to 
GIven curve x = 0 and y = 9x
As such,x lies between 0 to 
Given curve x = 0 , and z = 0,
y = 0 and
∴ y lies between 0 and 9
Then 
I = 91.125
