Use the rule and the fact that the summary statistics come from a distribution that is symmetric and bell-shaped to find an interval that is expected to contain about
of the data values.

A bell-shaped distribution with mean 230 and standard deviation 29 .

In Statistics, if the set of data values are normally distributed in a bell shaped curve, the following data point percentages exist:

   1.  68% of the data points will lie within one STD of the Mean.

   2.  95% of the data points will lie within two STDs of the Mean.

   3.  99% of the data points will lie within three STDs of the Mean.

Applying the above rules, we can answer our two questions:

   1.  Set of Data (Mean = 78; STD = 5)

            78 - 2(5) = 78 - 10 = 68

            78 + 2(5) = 78 + 10 = 88

            95% Rule:  68 - 88 (range of data points)

   2.  Set of Data (Mean = 1100; STD = 15)

            1100 - 2(5) = 1100 - 10 = 1090

            1100 + 2(5) = 1100 + 10 = 1110

            95% Rule:  1090 - 1110

                             (range of data points)

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

answer by yourhope:

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