3(-2-4v)<-90 help I'm stuck on this one
1 answer:
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Answer:
Step-by-step explanation:
After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:
Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:
Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:
Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:
, where
,
, and
are interchangeable. Let
represent the distance between the two cruises. We have:
(one significant figure).
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
Difference:
Confidence interval:
In which z is the zscore that has a pvalue of , with
being 1 subtracted by the confidence level.
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Lower bound of the interval:
Upper bound of the interval:
The 95% confidence interval for the difference is (-0.1888, 0.0202).