Without solving completely, explain why the function x? + 5x [0, 1]. Give an informal description of the applicable theorem. 3 has a zero on the interval

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…

A biologist is examining two genetic mutations. Genetic mutation A occurs in 15% of the population, mutation B occurs in 4% of the population, and 1% of the population have mutation B and do not have mutation A. a) Is having mutation A independent of having mutation B? Explain/show the reasoning for your answer. b) Is not having mutation A independent of having mutation B? Explain/show the reasoning for your work.

a) Compute C5,2. b) Compute C6,2. c) Compute P4,3. d) Compute P7,2.