Solve the problem on paper, take a picture, and upload. You can only upload one Image for each question. Six-year old Billy is starting to question the existence of Santa, so he conducts an experiment. One of Santa's major tenets is that nice children get presents, but naughty children do not. So, Billy collects the data below from three groups of different children: nice, mediocre, and naughty. The scores are number of presents that "Santa" brings each child. Using an independent-measures ANOVA, go through the steps of hypothesis testing to determine if Billy can conclude there is an effect of goodness on number of presents received (set a = .05). Nice Mediocre Naughty
4 4 1
2 5 5
3 4 4
5 2 2
8 1 2
2 3 3
M=4 M=3.17 M=2.83
T=24 T=19 T=17
Also, G-60 and X-252.

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!

27

step-by-step explanation:

ummm seems that u didnt post the attachement !

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh