Answer:
The correct option is C. 5
Therefore,

Step-by-step explanation:
Simplify

Solution:
Using Identity

So in the given expression

Therefore,

Therefore,

Answer:
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis 
Step-by-step explanation:
We have the following info given from the problem:
the random sample of voters selected from the town
represent the proportion of residents favored construction
represent the value desired to test.
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis 
And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:
(1)
And with the data given we have:
Answer:
The answer is 8.5
Step-by-step explanation:
Just list all the numbers and cross them out one by one.
Answer:75
Step-by-step explanation: Find the area of the triangle which is 1/2 base times height. The base is 9 while the height is 4+5+1 which is 10. 10 times 9 is 90 and half of 90 is 45. Then find the area of the rectangle which is length times width which is 5 times 3 which is 15. Then subtract 15 from 90 which gets you the answer 75.