The student populations of 10 universities are shown. 38,364 39,143 39,619 40,742 41,038 41,828 45,289 48,960 49,863 54,513 determine whether the mean or the median best describes the center of the data set and give its value. (4 points)

Median better describes the data

Step-by-step explanation:

MEAN:

Mean = sum of data/number of data

Mean = 38,364+ 39,143+ 39,619+ 40,742+ 41,038+ 41,828+ 45,289+ 48,960+ 49,863+ 54,513 / 10

Mean = 439359/10

Mean = 43935.9

MEDIAN

Median = n/2

Median = 10/2

Median = 5th and 6th term / 2

5th term: 41038

6th term: 41828

Median = 5th + 6th term/2

Median = 41038 + 41828 / 2

Median = 82866/2

Median = 41433

The median better describes the data as it is more in the middle values. The middle values in the data set are the 5th term and 6th term which is 41,038 and 41,828 respectively. Median is 41,433 which lies exactly between these. Mean is 43935.9 which is after the 6th term which means it is not the centre of the data set.

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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22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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