Let {an} and {bn} be bounded above. State hypotheses which guarantee {anbn} will also be bounded above, and prove it.
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- A company that packages peanuts states that a maximum of 6% of the peanut shells contains no nuts. At random, 300 peanuts were selected and 21 of them were empty. At 0.05 CI, determine if the claims is true.Prove property 4According to the National Center for Health Statistics, 15% of all Americans have hearing trouble. In a random sample of 120 Americans, what is the probability that 12% or fewer have hearing trouble. Assuming that all conditons of the Central Limit Theorem are satisfied
- Prove that {x_n} converges. Need to use info in a) and b)Use Euler's Theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 35. (You should not need to use any brute force searching.)Use a counterexample to prove: If a sum of two integers is even, then one of the summands is even.