Class Activity 160 X Empirical Versus Theoretical Probability: Picking Cubes from a Bag
CCSS CCSS SMP4, 7.SP6
Each person (or small group) will need an opaque bag. 3 red cubes. 7 blue cubes, and a sticky note.
Bag
C
1. Put the 10 cubes in the bag. mix them up, and randomly pick a cube from the bag with
out looking. Record the color of the cube, and put the cube back in the bag. Repeat
until you have picked 10 cubes. Record the number of red cubes you picked on your
sticky note Calculate the empirical probability of picking a red cube based on your
10 picks. Is it the same as the theoretical probability of picking reur

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!

what "following statement"?

step-by-step explanation:

answer: '

the distance between points l and m

step-by-step explanation:

what was there favorite food