Use the inclusion–exclusion principle for (nonconditional) probabilities to show that, if E , F , and G are events in S , then Pr ( E ∪ F | G ) = Pr ( E | G ) + Pr ( F | G ) − Pr ( E ∩ F | G ) .
Use the inclusion–exclusion principle for (nonconditional) probabilities to show that, if E , F , and G are events in S , then Pr ( E ∪ F | G ) = Pr ( E | G ) + Pr ( F | G ) − Pr ( E ∩ F | G ) .
Solution Summary: The author explains that the inclusion-exclusion principle is to be used if E,F,G are events in S.
Use the inclusion–exclusion principle for (nonconditional) probabilities to show that, if E, F, and G are events in S, then
Pr
(
E
∪
F
|
G
)
=
Pr
(
E
|
G
)
+
Pr
(
F
|
G
)
−
Pr
(
E
∩
F
|
G
)
.
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
[)
Hwk 29
SUBMIT ANSWER
Hwk 29 - (MA 244-03) (SP25) || X
-
Mind Tap Cengage Learning
☑
MA244-03_Syllabus_Spring, 20 ×
b Answered: ( Homework#8 | ba X
+
https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36606608&tags=autosave#question3706218_2
2. [-/2.85 Points] DETAILS
MY NOTES
LARLINALG8 7.3.003.
Prove that the symmetric matrix is diagonalizable. (Assume that a is real.)
0 0 a
A =
a 0
a 0 0
Find the eigenvalues of A. (Enter your answers as a comma-separated list. Do not list the same eigenvalue multiple times.)
λ=
Find an invertible matrix P such that P-1AP is diagonal.
P =
Which of the following statements is true? (Select all that apply.)
☐ A is diagonalizable because it is a square matrix.
A is diagonalizable because it has a determinant of 0.
A is diagonalizable because it is an anti-diagonal matrix.
A is diagonalizable because it has 3 distinct eigenvalues.
A is diagonalizable because it has a nonzero determinant.
A is diagonalizable because it is a symmetric…
A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
Chapter 6 Solutions
Finite Mathematics & Its Applications (12th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY