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musickatia [10]
3 years ago
7

Someone help me please

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0
68% of the time, values will be within ONE std dev of the mean.
Thus, if the mean is 50 and the std. dev is 5, values will be between 45 and 55.
45 is one std dev below the mean, whereas 55 is one std dev above.

40 and 60 represent 2 std dev below the mean and above the mean, respectively.  95% of the time, values will be within the interval (40,60).

Here we're making use of the so called EMPIRICAL RULE.

99.9% of the time, values will lie within 3 std dev of the mean.  This comes out to (45, 65).  Unsure of how to conclude the 3rd question here.

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Remark

You cannot give an answer to this unless you are give the fastest speed of a swimmer. That stat is not an easy one to decide upon. At what distance for example or do you eliminate distance? Since this is a college level question, I don't think it unreasonable that you have to research raw distance over fastest time.

The fastest speed I can find is 100 meters in 46.91 seconds.  That means that the actual speed of the swimmer is 100 meters / 46.91 = 2.132 meters / second.

Givens

Set up a proportion with the numbers found and given

Speed of ball / speed of swimmer = 21.12 / 1

Speed of ball = x

Solution

Speed of swimmer = 2.132 m/s

x / 2.132 = 21.12 / 1          Multiply Both sides by 2.132

x = 21.12 * 2.132 / 1

x = 45.02 m/s

Answer

45.02 m/s

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If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

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