College Algebra
1st Edition
ISBN: 9780078035630
Author: Julie Miller
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 8.7, Problem 87PE
(a)
To determine
To calculate: The most common blood type, if the blood type of an individual is classified according to the presence of certain antigens, substances that cause the immune system to produce antibodies. These antigens are denoted by A, B, and Rh. If an individual’s blood contains either the A or B antigens, these letters are listed in the blood type. If neither A nor B is present, then the letter O is used. If the Rh antigens is present, the blood is said to be Rh positive
The distribution of blood types for people is,
| 0.374 | |
| 0.066 | |
| 0.357 | |
| 0.063 | |
| 0.085 | |
| 0.015 | |
| 0.034 | |
| 0.006 |
(b)
To determine
To calculate: The most rare blood type, if the blood type of an individual is classified according to the presence of certain antigens, substances that cause the immune system to produce antibodies. These antigens are denoted by A, B, and Rh. If an individual’s blood contains either the A or B antigens, these letters are listed in the blood type. If neither A nor B is present, then the letter O is used. If the Rh antigens is present, the blood is said to be Rh positive
The distribution of blood types for people is,
| 0.374 | |
| 0.066 | |
| 0.357 | |
| 0.063 | |
| 0.085 | |
| 0.015 | |
| 0.034 | |
| 0.006 |
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You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
Plane II is spanned by the vectors:
- (2) · P² - (4)
P1=2
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2
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