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1 answer:
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See the attached figure to better understand the problem
we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft
in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft
<span>the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft
the answer is
</span>the distance between the ships is 767.4 ft<span>
</span>
we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft
in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft
<span>the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft
the answer is
</span>the distance between the ships is 767.4 ft<span>
</span>
Answer: (0.5496, 0.5754)
Step-by-step explanation:
The confidence interval for population proportion (p) is given by :-
, where
= Sample proportion , n= sample size , z*= Critical z-value.
Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.
Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.
i.e. n=4000
z-value for 90% confidence level is 1.645
Now , 90% confidence interval for p would be :
Hence, the required 90% interval = (0.5496, 0.5754)