The spinner is spun 75 times. A spinner has 4 sections labeled A, B, C, D. D is 75 percent, A is 25 percent, and B and C are both around 12.5 percent.
What is the experimental probability of spinning the given result? Round your answer to the nearest hundredth if necessary.
Outcome
A
B
C
D
Frequency
20
11
14
30

C
a.
0.14
c.
0.81
b.
1
d.
0.19

Please select the best answer from the choices provided

A
B
C
D
Mark this and return

The

The answer is 0.27

How I did it:

The frequency for A is given as 20, this means A was spun 20 out of 75 spins.

20/75 = 0.2666 which rounds to 0.27

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!

3

step-by-step explanation: