Answer:
a. 
b. 
Step-by-step explanation:
Theoretical probability is what we expect to happen and experimental probability is what actually happens.
a. In theoretical probability, it doesn't matter what happened in the past. So basically we want to know the probability of rolling a 3 when a number cube is rolled.
There are 6 faces (from 1 to 6) in a number cube. And there is 1 "3". So the probabilty of rolling a 3 is:
1/6
b. In experimental probability, we need to know what happened before. When the cube was rolled 450 times, it came up "3", 67 times.
Hence the experimental probabilty of rolling a "3" is:
67/450
For calculating the mean, you want to add up all of the numbers then divide by how many numbers there are. So you'd do:
5+10+12+4+6+11+13+5 then divide that by 8
The answer to your question is: 8.25
We have to find the number of ways an employer send 3 employees to a job fair if she has 11 employees.
This is the problem from combination.
The formula for combination is given by

Here, n= 11, r= 3
Therefore, total number of ways is given by

A is the correct option.
As stated in (i), the equation of the line is: ln y = -0.015x + .26
(By the way, I checked your answers for parts (i) and (ii) and they are both correct)
(iii)
Plug in (1.1) for y and solve:
ln (1.1) = -0.015x + .26
0.095 = -0.015x + .26
-0.165 = - 0.015x
10.979 = x
Answer: x = 10.979