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:
I think is 15.39 kilometers
Step-by-step explanation:
1 hour=60 minutes +.5 hours =90 minutes = 9 x 1.71 = 15.39
Answer:
8.06
Step-by-step explanation:
Use the Pythagorean theorem:

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.
Plug the numbers 4 and 7 into the formula.

Now evaluate them to get 
16+49=65
To get c, take the square root of 65

X = arctan(32/19)
x = 59.30 degrees.
You don't say if the answer needs to be rounded, so round it as needed.
Answer:
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Step-by-step explanation:
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