To boost holiday sales, a jewelry store in Bismarck, North Dakota, is advertising the following promotion: "If more than seven i
nches of cumulative snow fall on December 24, 25, 26, 27, and 28, you get your money back on all purchases made on December 17." To analyze this promotion, the store manager has collected data and determined that snowfall over this 5-day period in December is normally distributed with an average of 6 inches and standard deviation of 0.559 inches. What is the probability that the store will have to refund the money to its December 17 customers? If required, round your answer to three decimal places.
1 answer:
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Answer:
about 14° south of east
Step-by-step explanation:
The river speed is about ...
(2.35 m/s)×(1 mi/(1609.344 m))×(3600 s)/(1 h) ≈ 5.2568 mi/h
The angle of interest is such that its sine is the ratio of river speed to boat speed:
sin(α) = (5.2568 mi/h)/(21.8 mi/h) = 0.241138
α = arcsin(0.241138) = 13.9537°
Since the river is flowing north, the boat should be directed south of its intended course by this angle.
The boat should be directed 14° south of east.
