Approximation In Exercises 73-76, use the Binomial Theorem to approximate the quantity accurate to three decimal places. For example, in Exercise 73, use the expansion
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College Algebra
- Probability In Exercises 77-80, consider n independent trials of an experiment in which each trial has two possible outcomes: “success” or “failure.” The probability of a success on each trial is p, and the probability of a failure is q=1p. In this context, the term Cnkpkqnk in the expansion of p+qn gives the probability of k successes in the n trials of the experiment. The probability of a sales representative making a sale with any one customer is 13. The sales representative makes eight contacts a day. To find the probability of making four sales, evaluate the term C84134234 in the expansion of 13+238.arrow_forwardExpanding a Binomial In Exercises 17-24, use the Binomial Theorem to write the expansion of the expression. x+16arrow_forwardFinding a Binomial Coefficient In Exercises 5-12, find the binomial coefficient. C120arrow_forward
- Determining Whether a Sequence Is Arithmetic In Exercises 5-12, determine whether the sequence is arithmetic. If so, find the common difference. ln1,ln2,ln4,ln8,ln16,...arrow_forwardProof In Exercises 17–20, prove that the Maclaurin series for the function converges to the function for all x.arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning