2. Compare and contrast a function and its inverse. Represent your
1 answer:
The table of values for the comparison of a function and its inverse function is shown in the image attached below.
<h3>What is an inverse function?</h3>An inverse function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).
In Mathematics, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property to the table (see attachment), we have:
- f(-6) = -10
- f⁻¹(-10) = -6
- f⁻¹(f(3)) = -9.
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For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98
<h3>What is a sample size?</h3>The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.
Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.
For a population mean of 20.15 and a standard deviation of 3.7
68% are within μ ± σ/√n,
hence,
68% = 20.15 ± 3.7/√20 = (19.32, 20.98)
For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.
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