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
 the random sample of voters selected from the town
 represent the proportion of residents favored construction
 represent the proportion of residents favored construction
 represent the value desired to test.
 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)
 (1)  
And with the data given we have:
 
  
 
        
             
        
        
        
Answer:
42
Step-by-step explanation:
x=3
6+x6+x6
6+(3)6+(3)6
6=6
(3)6=18
(3)6=18
6+18+18
24+18
42
Hope this helps ;) ❤❤❤
 
        
                    
             
        
        
        
Answer: x = 6
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Explanation:
The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,
OP = 2*MO 
and
MP = MO + OP
MP = MO + 2*MO .... replace OP with 2*MO
MP = 3*MO
9x-24 = 3*(x+4) ... plug in the given expressions
9x-24 = 3x+12
9x-3x = 12+24
6x = 36
x = 36/6
x = 6
 
        
             
        
        
        
The coefficient is the number 6/7.
        
                    
             
        
        
        
Answer:
Range is 6 and mode is 2
Step-by-step explanation:
Range is the greatest number of the set (7) subtracted by the smallest number of the set(1).
Mode is the most repeated number of the set(2).
<em>Hope this was helpful:)</em>