Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.
<h3>What is the area of a circle?</h3>The area of a circle of radius r is given by:
In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:
Hence the probability is given by:
p = 0.7854/16 = 0.049 = 4.9%
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Considering the situation described, we have that:
At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:
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At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:
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Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:
Step 1
Write the given equation in slope-intercept form and identify its slope m.
Thus:
Step 2
Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.
Answer
From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is: