Answer:
a
b

Step-by-step explanation:
From the question we are told that
The probability that an employees suffered lost-time accidents last year is 
The probability that an employees suffered lost-time accident during the current year is

The probability that an employee will suffer lost time during the current year given that the employee suffered lost time last year is

Generally the probability that an employee will experience lost time in both year is mathematically represented as

=> 
=> 
Generally the percentage of employees that will experience lost time in both year is mathematically represented as

=> 
=>
Generally the probability that an employee will experience at least one lost time accident over the two-year period is mathematically represented as

=> 
=> 
Generally the percentage of the employees who will suffer at least one lost-time accident over the two-year period is mathematically represented as

=> 
=> 
Answer:
$300,000
Step-by-step explanation:
To find 8% of 100,000 all you need to do is multiply 100,000 by .08.
100,000 (.08) = 8,000
The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.
8,000 (25) = 200,000
Now add the initial amount to the additional 200,00 that will be paid to the retirement account.
100,000 + 200,000 = 300,000
The answer is $300,000.
Answer:
(r o g)(2) = 4
(q o r)(2) = 14
Step-by-step explanation:
Given


Solving (a): (r o q)(2)
In function:
(r o g)(x) = r(g(x))
So, first we calculate g(2)




Next, we calculate r(g(2))
Substitute 9 for g(2)in r(g(2))
r(q(2)) = r(9)
This gives:


{

Hence:
(r o g)(2) = 4
Solving (b): (q o r)(2)
So, first we calculate r(2)




Next, we calculate g(r(2))
Substitute 3 for r(2)in g(r(2))
g(r(2)) = g(3)




Hence:
(q o r)(2) = 14