A teacher gave her class two functions, f(x) = |x – 5|+4 and g(x) = -x² + 21, and aske for the solution(s) of the equation f(x) = g(x). The answers given by four students are shown below: Betty: only 4 Donna: only 5 Edward: 12 and 5 Gary: -3 and 4 Who found the solution correctly and why? A. Betty, because the solutions are the x-values of the points of intersection of the graphs of f(x) and g(x) but the negative solutions must be discarded because f(x) is an absolute value function. B. Edward, the solutions are the y-values of the points of intersection of the graphs of f(x) and g(x). C. Donna, the solutions are the y-values of the points of intersection of the graphs of f(x) and g(x) but solutions paired with negative x-values must be discarded because f(x) is an absolute value function. D. Gary, the solutions are the x-values of the points of intersection of the graphs of

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.