Abstract algebra higher level 1. If A and B are both normal in G. then 1. AB is a subgroup of G 2. AB is normal
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A: As you mentioned.. I will solve 4) a )
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Abstract algebra higher level
1. If A and B are both normal in G. then
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- When the value of σ2 (or σ) is not known, it is inappropriate to do a z-test. Group of answer choices True FalseFind the order of the given factor group (Z8 x S3)/<(2,(1,2,3))>A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below. Vacation Days 11 11 15 4 13 0 3 3 0 5 3 7 Sick Days 3 -0 0 3 0 7 9 9 6 4 10 5 r2r2 = (Round to two decimal places) Interpret r2r2 : Given any group with a fixed number of vacation days taken, 67% of all of those employees will take the predicted number of sick days. There is a 67% chance that the regression line will be a good predictor for the number of sick days taken based on the number of vacation days taken. 67% of all employees will take the average number of sick days. There is a large variation in the number of sick days employees take, but if you only look at employees who take a fixed number of vacation days, this variation on average is reduced by 67%.
- Abstract Algebra I think I answered question, Just do not know what put as to why these are normal subgroups as stated in second partProve that A3= {(1), (1,2,3), (1,3,2)} is a Normal Subgroup of S3a.) What’s special about a normal subgroup? b.) When we say xH = Hx where H is a normal subgroup of G and x is an element of G, what exactly does that mean? c.) If y is an element of xH, what do we know about y? If y is also an element of Hx, what do we know about y? d.) How are these two “facts” linked together by the “=”?