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zubka84 [21]
3 years ago
6

in a single elimination tournament starting with 128 teams, half of the remaining teams are eliminated in each round. a) make a

table,a scatter plot and a function rule to represent the situation b) is it possible for 24 teams to remain after a round? which representation in part (a) made it the easiest to answer the question? c) what is the domain of the function? what does the domain represent? d) how many teams will be left after 5 rounds
Mathematics
1 answer:
lesya [120]3 years ago
7 0
B) no
c) D: (0, 128) domain is what are the possible numbers that can be put into a function. the reason it is 0 to 128 is because you cant have a negative number in this situation and 128 is the max because thats what you started out with
d) 4 teams
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                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

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Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

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