The data below shows the number of hours a week in average group of students spend volunteering for community service projects what is a cumulative frequency table that represents the data. 4, 5, 10, 21, 6, 2, 9, 8, 12, 15, 8, 14, 6, 4, 6, 11, 3, 2, 9, 16, 22, 23

The correct option is D.

Step-by-step explanation:

The given data set is

4, 5, 10, 21, 6, 2, 9, 8, 12, 15, 8, 14, 6, 4, 6, 11, 3, 2, 9, 16, 22, 23

A running total of the frequencies is called Cumulative frequency.

Hours          data                  frequency       cumulative frequency      

0-4            4,2,4,3,2                   5                         5+0=5

5-9            5,6,9,8,8,6,6,9         8                         5+8=13

10-14         10,12,14,11                  4                         13+4=17

15-19          15,16                        2                          17+2=19

20-24        21,22,23                  3                          19+3=22

Therefore the correct option is D.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

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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