A nonagon has 9 sides, so n = 9
S = sum of the interior angles
S = 180*(n-2)
S = 180*(9-2)
S = 180*7
S = 1260
Answer is choice B
[(21-13)+(32-24)] x 4
[(8)+(8)] x 4
16 x 4
= 64
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<span>You have the following inequality given in the problem shown above:
(x^2-1)/(x^2+5x+4)</span>≤<span>0
1. To solve it, you must factor it and then you must make the study of the signs.
2. Once you do the proccedure mentioned above, you obtain the following solutions:
-4<x<-1 -1<x</span>
≤<span>
1
3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Answer:
$156.35
Step-by-step explanation:
we know that
A group of friends went to lunch, and their bill was $132.50
In this problem
$132.50 represent the 100%
100%+18%=118%
so
using proportion
Find out the total amount that represent 118%
Let
x ----> the total amount of the bill
