Answer:
75
Step-by-step explanation:
Let full marks be x
Then pass marks is 40% of x which is 0.4x
As per given, we have
22= 0.4x - 8
Solving for x
0.4x = 30
x = 30/0.4
x = 75
So full marks is 75
Solution:
Albert's medical expenses is = $ 12,000
Sam's come = $ 8,000
Add the amount = 12000 + 8000 = $ 20000
Sue Jones is insured for the amount = 10/20
Now, find the insurance.
(10/20)*(20,000) = 10000
Hence, $10000 pay for the insurance.
Answer:
Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10
Part 2: The research board can be chosen in 32760 ways
Step-by-step explanation:
Part 1:
The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:
- n by 40 participants
- k by 4 groups
- n1, n2, n3 and n4 by 10 participants of every subgroups
We get:

Part 2:
The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.
Therefore, replacing values of:
- n by 15 doctors
- k by 4 offices
We get:

The answer is 1 1/8 hours left or 67.5 minutes!