Get your bearings A large container of ball bearings has mean diameter 2.5003 centimeters (cm). This is within the specification
s for acceptance of the container by the purchaser. By chance, an inspector chooses 100 bearings from the container that have mcan diaineler 2.5009 cm. Because this is outside the specificd limits, the container is mistakenly rejected.
The parameter is____=_____
The statistic is _____=_____
Options:
A u/q looking thing (my phone doesn't have it)
x-bar
2.5003
2.5009
The parameter is____=_____
The statistic is _____=_____
Options:
A u/q looking thing (my phone doesn't have it)
x-bar
2.5003
2.5009
1 answer:
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Answer:
The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island
Step-by-step explanation:
From the question, we have;
The distance of the island from the shoreline = 1 mile
The distance the person is staying from the point on the shoreline = 15 mile
The rate at which the visitor runs = 6 mph
The rate at which the visitor swims = 2.5 mph
Let 'x' represent the distance the person runs, we have;
The distance to swim =
The total time, 't', is given as follows;
The minimum value of 't' is found by differentiating with an online tool, as follows;
At the maximum/minimum point, we have;
Simplifying, with a graphing calculator, we get;
-4.72·x² + 142·x - 1,070 = 0
From which we also get x ≈ 15.04 and x ≈ 0.64956
x ≈ 15.04 mile
Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi
Therefore, the distance to run, x ≈ 14.96 mile