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:

Answer:
∴Third side = 12 units
Step-by-step explanation:
In ΔCAB, the measure of segment AB is 8 units and the measure of segment AC is 5 units.
The sum of two sides of a triangle always grater than third side.
Therefore,
(5+8)=13 units
third side<13
∴Third side = 12 units
50% of X-Treamline Crank Radios are likely to play 30 minutes or longer after 30 cranks, while only 25% of Secure Hike Emergency Radios are likely to play 30 minutes or longer after 30 cranks
Ok so our two variables will be:
x=age y=price
Our equation is:
y= -3000x + $25,635