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10.) Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neithea antigen. A third antigen, called the Rh antigen, is important in human reproduction, and may or may not be present in an individual. A person's blood type is A-positive if the individual has the A and Rh antigens, but not the B antigen. The blood type is AB-negative if the person has the A and B antigens, but not the Rh antigen. An individual with only the Rh antigen has blood type 0- positive. Other blood types are defined in a similar manner. In a certain hospital, the following data were recorded: 25 patients had the A antigen 8 patients had the A antigen and not the B antigen 27 patients had the B antigen 22 patients had the B antigen and the Rh antigen 30 patients had the Rh antigen 12 patients had none of the antigens 16 patients had the A antigen and the Rh antigen 15 patients had all three antigens (a) How many patients were represented in this survey? (b) How many patients had exactly one of the antigens? (c) How many patients had exactly two antigens? (d) How many patients had blood type O-positive? (e) How many patients had blood type AB-positive? (f) How many patients had blood type B-negative? (g) How many patients had blood type O-negative? (h) How many patients had blood type A-positive?

10.) Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neithea antigen. A third antigen, called the Rh antigen, is important in human reproduction, and may or may not be present in an individual. A person's blood type is A-positive if the individual has the A and Rh antigens, but not the B antigen. The blood type is AB-negative if the person has the A and B antigens, but not the Rh antigen. An individual with only the Rh antigen has blood type 0- positive. Other blood types are defined in a similar manner. In a certain hospital, the following data were recorded: 25 patients had the A antigen 8 patients had the A antigen and not the B antigen 27 patients had the B antigen 22 patients had the B antigen and the Rh antigen 30 patients had the Rh antigen 12 patients had none of the antigens 16 patients had the A antigen and the Rh antigen 15 patients had all three antigens (a) How many patients were represented in this survey? (b) How many patients had exactly one of the antigens? (c) How many patients had exactly two antigens? (d) How many patients had blood type O-positive? (e) How many patients had blood type AB-positive? (f) How many patients had blood type B-negative? (g) How many patients had blood type O-negative? (h) How many patients had blood type A-positive?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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10.) Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neither antigen. A third antigen, called the Rh antigen, is important in human reproduction, and may or may not be present in an individual. A person's blood type is A-positive if the individual has the A and Rh antigens, but not the B antigen. The blood type is AB-negative if the person has the A and B antigens, but not the Rh antigen. An individual with only the Rh antigen has blood type O- positive. Other blood types are defined in a similar manner. In a certain hospital, the following data were recorded: 25 patients had the A antigen 8 patients had the A antigen and not the B antigen 27 patients had the B antigen 22 patients had the B antigen and the Rh antigen 30 patients had the Rh antigen 12 patients had none of the antigens 16 patients had the A antigen and the Rh antigen 15 patients had all three antigens (a) How many patients were represented in this survey? (b) How many patients had exactly one of the antigens? (c) How many patients had exactly two antigens? (d) How many patients had blood type O-positive? (e) How many patients had blood type AB-positive? (f) How many patients had blood type B-negative? (g) How many patients had blood type O-negative? (h) How many patients had blood type A-positive?
Transcribed Image Text:10.) Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neither antigen. A third antigen, called the Rh antigen, is important in human reproduction, and may or may not be present in an individual. A person's blood type is A-positive if the individual has the A and Rh antigens, but not the B antigen. The blood type is AB-negative if the person has the A and B antigens, but not the Rh antigen. An individual with only the Rh antigen has blood type O- positive. Other blood types are defined in a similar manner. In a certain hospital, the following data were recorded: 25 patients had the A antigen 8 patients had the A antigen and not the B antigen 27 patients had the B antigen 22 patients had the B antigen and the Rh antigen 30 patients had the Rh antigen 12 patients had none of the antigens 16 patients had the A antigen and the Rh antigen 15 patients had all three antigens (a) How many patients were represented in this survey? (b) How many patients had exactly one of the antigens? (c) How many patients had exactly two antigens? (d) How many patients had blood type O-positive? (e) How many patients had blood type AB-positive? (f) How many patients had blood type B-negative? (g) How many patients had blood type O-negative? (h) How many patients had blood type A-positive?
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