g A mid-sized tech company believes that 60% of its employees get no regular exercise, 25% exercise sporadically, while 15% engage in regular exercise. You suspect that this numbers may have changed due to a recent exercise campaign targeting the company employees. From a random sample of 470 employees, you find that 255 do not engage in regular exercise, 125 exercise sporadically, and 90 engage in regular exercise. Based on this data, is there enough evidence to suggest that the numbers have changed

Based on this sample data, there is enough evidence to suggest that the numbers have changed.

The number of those who do not do regular exercise has reduced from 60% to 54%.  The number of those who do sporadic exercise has increased from 25% to 27%.  The number of those who engage in regular exercise has increased from 15% to 19%.

So the numbers have changed much.

Step-by-step explanation:

                                   No Regular       Sporadic         Regular

                                      Exercise          Exercise        Exercise               Total

Estimated proportion    60%                   25%                15%                   100%

Random sample            255                    125                  90                    470

Random proportion      54% (255/470) 27% (125/470)  19% (90/470)  100%

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

answer: on kudzu, being female and being green are independent events.

step-by-step explanation: