In a Certain Discrete Math Class, Three Quizzes Were Given $\# 1$

question 8

Essay

In a certain discrete math class, three quizzes were given. Out of the 30 students in the class: 15 scored 12 or above on quiz #1,
12 scored 12 or above on quiz #2,
18 scored 12 or above on quiz #3,
7 scored 12 or above on quizzes $\# 1$ and $\# 2$ ,
11 scored 12 or above on quizzes $\# 1$ and $\# 3$ ,
8 scored 12 or above on quizzes #2 and #3,
4 scored 12 or above on quizzes $\# 1$ , #2, and #3.
(a) How many scored 12 or above on at least one quiz?
(b) How many scored 12 or above on quizzes 1 and 2 but not 3?

Recognize the role and assumptions of intuition in the decision-making process.

Identify strategies to develop different cognitive abilities related to decision making.

Understand the process and importance of creativity in decision making.

Understand different decision-making models and their application in various scenarios.

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Definitions:

Otolith Organs

Structures within the inner ear that are involved in detecting linear accelerations and head tilts, thereby contributing to the sense of balance and spatial orientation.

Crystals

are solid materials whose atoms, ions, or molecules are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.

Gestalt Principle

A theory in psychology that proposes the human brain sees objects as whole forms rather than as a collection of parts, emphasizing the context and patterns of perception.

Columns

Structural elements in architecture that serve as support; also refers to vertical arrangements of information or data in tables or spreadsheets.