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Problem 49

$$1+\frac{1}{1}, 1+\frac{1}{2}, 1+\frac{1}{3}, 1+\frac{1}{4}, 1+\frac{1}{5}, \dots$$$$1+\frac{1}{1}, 1+\frac{1}{2}, 1+\frac{1}{3}, 1+\frac{1}{4}, 1+\frac{1}{5}, \dots$$

Problem 49

Use the table, which shows the age groups of students in a college sociology class. $$\begin{array}{|c|c|} \hline \text { Age } & \text { Number of students } \\ \hline 18-19 & 11 \\ \hline 20-21 & 18 \\ \hline 22-30 & 2 \\ \hline 31-40 & 1 \\ \hline \end{array}$$ A student from the class is randomly chosen for a project. Find the probability that the student is the given age. Older than 21 years old

Problem 50

Use a graphing utility to graph the first 10 terms of the sequence. (Assume \(n\) begins with 1.) $$a_{n}=-1.3 n+7$$

Problem 50

Graphing the Terms of a Sequence Use a graphing utility to graph the first 10 terms of the sequence. $$a_{n}=10(-1.2)^{n-1}$$

Problem 50

Use the table, which shows the age groups of students in a college sociology class. $$\begin{array}{|c|c|} \hline \text { Age } & \text { Number of students } \\ \hline 18-19 & 11 \\ \hline 20-21 & 18 \\ \hline 22-30 & 2 \\ \hline 31-40 & 1 \\ \hline \end{array}$$ A student from the class is randomly chosen for a project. Find the probability that the student is the given age. Younger than 31 years old

Problem 50

Find the number of distinguishable permutations of the group of letters. \(\mathbf{M}, \mathbf{I}, \mathbf{S}, \mathbf{S}, \mathbf{I}, \mathbf{S}, \mathbf{S}, \mathbf{I}, \mathbf{P}, \mathbf{P}, \mathbf{I}\)

Problem 50

Write an expression for the apparent \(n\) th term of the sequence. (Assume \(n\) begins with \(1 .\)) $$1+\frac{1}{3}, 1+\frac{1}{6}, 1+\frac{1}{11}, 1+\frac{1}{18}, 1+\frac{1}{27}, \ldots$$

Problem 50

Use the Binomial Theorem to expand and simplify the expression. \((x+3)^{5}-4(x+3)^{4}\)

Problem 51

A random number generator selects three numbers from 1 through 10. Find the probability of the event. All three numbers are even.

Problem 51

Use the table feature of a graphing utility to find the first 10 terms of the sequence. (Assume \(n\) begins with 1.) $$a_{n}=4 n-5$$

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