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Magazine Problem 39
You are given the probability that an event will not happen. Find the probability that the event will happen. $$P\left(E^{\prime}\right)=\frac{13}{20}$$
Problem 39
Use the Binomial Theorem to expand and simplify the expression. \(\left(5-x^{2}\right)^{5}\)
Problem 39
Finding a Term of a Geometric Sequence Find a formula for the \(n\)th term of the geometric sequence. Then find the indicated term of the geometric sequence. 9th term: \(7,21,63, \dots\)
Problem 40
Finding a Term of a Geometric Sequence Find a formula for the \(n\)th term of the geometric sequence. Then find the indicated term of the geometric sequence. 7th term: \(3,36,432, \ldots\)
Problem 40
Write an expression for the apparent \(n\) th term of the sequence. (Assume \(n\) begins with \(1 .\)) $$3,7,11,15,19, \ldots$$
Problem 40
Use the Binomial Theorem to expand and simplify the expression. \(\left(3-y^{2}\right)^{3}\)
Problem 40
Write the first five terms of the arithmetic sequence. Find the common difference and write the \(n\) th term of the sequence as a function of \(n .\) $$a_{1}=6, a_{k+1}=a_{k}+5$$
Problem 40
You are given the probability that an event will not happen. Find the probability that the event will happen. $$P\left(E^{\prime}\right)=\frac{61}{100}$$
Problem 40
Evaluate \(_{n} P_{r}\) using a graphing utility. $$_{100} P_{5}$$
Problem 41
From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many ways can the offices be filled?
