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:
We have
SinC/ c = Sin A / a
Sin 71/ 26 = Sin A / 27
Sin A = 27 Sin 71 / 26 = about .982
So°
Sin-1(.982) = A = 79. 08°
Then angle B = 180 - 71 - 79.08 = 29.92°
And b is given by
b/sin29.92 = 26/sin 71
b = 26sin29.92/sin71 = about 13.72
But A could also be an obtuse angle = 180 - 79.08 = 100.92°
So we have
B = 180 - 71 - 100.92 = 8.08°
And we have
b / sin 8.08 = 26/sin71
b = 26sin8.08/sin 71 = 3.865
Answer:
9 - 5x = 7
Step-by-step explanation:
Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7
9 - 5x = 7
d1 = ax + by + c = 0 and d2= mx + ky + f = 0
if they are parallel :

8x + 2y = 7
8x + 2y - 7 = 0
- 8x + 2y -9 = 0
- 4x + y -6 = 0
- 16x + 4y - 19 = 0
you can create more whatever you want =)
Hope this helps ^-^
Answer:
"Retained earnings increases by $4,800"
Step-by-step explanation:
Retained Earnings are the amount of money left over for a business after it has paid its dividends from its net income.
Simply put:
Retained Earnings = Income - Dividends
Here, it is given:
Income = 5000
Dividends = 200
Hence,
Retained Earnings = 5000 - 200 = $4800