Match the chart to the type: A chart that monitors the count of objects with a specific characteristic during a time period, or over consistent amount of area. A chart that monitors the proportion of objects from a sample of size n that does, or does not have, a certain characteristic. A chart that monitors the within sub-group variation with the standard deviations of the subgroups. A chart that monitors the within sub-group variation with the range of the subgroups. A chart that monitors the between sub-group averages of a quantitative characteristic.

1.A chart that monitors the count of objects with a specific characteristic during a time period, or over consistent amount of area. c chart

2.A chart that monitors the within sub-group variation with the range of the subgroups. R chart

3.A chart that monitors the within sub-group variation with the standard deviations of the subgroups. s chart

4.A chart that monitors the proportion of objects from a sample of size n that does, or does not have, a certain characteristic. p chart

5.A chart that monitors the between sub-group averages of a quantitative characteristic. x-"bar" chart

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! : )

cretdit to source

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°