Probability, Functions, and Polynomials

This video tutorial covers problems from the North Carolina math exam, focusing on probability, polynomial simplification, graphing quadratic functions, and solving number problems. It uses Venn diagrams to solve allergy-related probability questions, checks for independent events, simplifies polynomial expressions, finds zeros of quadratic functions, and applies substitution to solve number problems.

What is the main focus of the video tutorial?

• Solving geometry problems

• Discussing North Carolina common exams

• Exploring historical events

• Learning about biology

How many students are allergic to both peanuts and shellfish?

• 7

• 5

• 3

• 9

What is the probability of event M?

• 0.12

• 0.56

• 0.4

• 0.28

Which expression is equivalent to the given polynomial?

• X^5 + 17X^3 + 7

• 3X^5 + 17X^3 - 1

• 2X^5 + 17X^3 - 7

• X^5 + 17X^3 - 7

What are the zeros of the function f(x) = 2x + 3 times x - 2?

• x = -3 and x = 0

• x = 0 and x = 2

• x = 3/2 and x = -2

• x = -3/2 and x = 2

What is the product of the two numbers if their sum is 24 and the sum of their squares is 306?

• 165

• 150

• 135

• 120