A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du
1 answer:
Answer:
19.5 miles
Step-by-step explanation:
The question is represented in the image attached.
∠A = 45°, ∠B = 45° + (216° - 180°) = 81°
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
45° + 81° + ∠C = 180°
126 + ∠C = 180
∠C = 180 - 126
∠C = 54°
The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:
b = length of beginning of submarine to end point. Using sine rule:
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Answer:
We need a sample of size at least 13.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
90% confidence interval: (0.438, 0.642).
The proportion estimate is the halfway point of these two bounds. So
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?
We need a sample of size at least n.
n is found when M = 0.08. So
Rounding up
We need a sample of size at least 13.