You would find that in the first quadrant.
Answer:
Mutley would start at 2 feet above sea level or +2, he would then travel 12 feet below sea level (-12) to then return to the surface of the ocean (0). The integers from least to greatest: -12, 0, 2. Visual:
-12(dive level) * * * * * * * * * * * 0(sea level) * 2(boat)
Step-by-step explanation:
Using positive and negative integers, we can determine Mutleys journey above, below and at the surface of the ocean. The surface of the ocean represents his 'origin' or starting point, which is 0. The boat is above the surface or +2. When Mutley dives below the surface, he is at a negative level of the ocean. Think of it in terms of a number line - negative numbers are to the left of 0 and positive numbers are to the right of 0. The further we go to the left on the number line, the lower our number. In this case, -12 would be furthest to the left, then 0, followed by 2.
Multiply by the reciprocal
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: