Concept explainers
a.
Find the formula to calculate the total number of interactions that should take place if
a.
Answer to Problem 26E
Explanation of Solution
Given information:
Mellissa needs to coordinate a “get to know you” activity for the group’s first meeting. The activity must last at least
Calculation:
Here, we will sample some groups of
Now, we will count the interactions
Thus, interaction
Hence, the required answer is
b.
Show that the formula is valid for all positive integral values of
b.
Answer to Problem 26E
The formula is valid.
Explanation of Solution
Given information:
Mellissa needs to coordinate a “get to know you” activity for the group’s first meeting. The activity must last at least
Calculation:
Here, we will use mathematical induction to prove the given situation.
Now, when
Thus, the formula gives
Now, suppose that the statement is true for
Hence, the formula is valid.
c.
If
c.
Answer to Problem 26E
It will meet the guidelines.
Explanation of Solution
Given information:
Mellissa needs to coordinate a “get to know you” activity for the group’s first meeting. The activity must last at least
Calculation:
Here,
Thus, it is within the project constraint of
Hence, activity will meet the guidelines.
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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