the daily temperatures last week were 68,70,73,75,76,76 and 82 degrees. what fraction of the temperatures were above 75 degress?
2 answers:
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Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have
Therefore,
α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
The confidence interval can be calculated from the margin of error, and vice versa,
The margin of error of the confidence interval is 2.156
The confidence interval is given as:
The formula of confidence interval is:
Where E represents the margin of error.
So, by comparison:
Multiply
Hence, the margin of error of the confidence interval is 2.156
Read more about margin of errors at: