Which answer correctly describes the change in the standard deviation for the data set {3,4,6,7,8,20} when the outlier is not included in the calculation? The standard deviation is still 5.63, which means a graph of the values doesn't change without the outlier.

The standard deviation increases from 1.85 to 5.63, which means a graph of the values is more spread out without the outlier.

The standard deviation decreases from 8 to 5.6, which means a graph of the values is less spread out without the outlier.

The standard deviation decreases from 5.63 to 1.85, which means a graph of the values is less spread out without the outlier.

answer: -8.2562234e+13

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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