91Ó°ÊÓ

The mathematics department of a college has 8 male professor. II female professors, 14 male teaching assistants, and 7 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is: a professor or a male.

Find the term indicated in each expansion. \(\left(x^{2}+y^{3}\right)^{8} ;\) sixth term

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for \(a_{n}\) to find \(a_{20}\), the 20 th term of the sequence. Find the sum of the odd integers between 30 and 54.

Find the term indicated in each expansion. \(\left(x^{3}+y^{2}\right)^{8} ;\) sixth term

Find the sum of each infinite geometric series. $$\sum_{i=1}^{\infty} 12(-0.7)^{i-1}$$

The mathematics department of a college has 8 male professor. II female professors, 14 male teaching assistants, and 7 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is: a professor or a female.

Express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. $$1^{4}+2^{4}+3^{4}+\dots+12^{4}$$

Use the formula for \(_{n} C\), to solve Exercises \(41-48\). There are 14 standbys who hope to get seats on a flight, but only 6 seats are available on the plane. How many different ways can the 6 people be selected?

Express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. $$2+2^{2}+2^{3}+\dots+2^{11}$$

Express each repeating decimal as a fraction in lowest terms. $$0 . \overline{5}=\frac{5}{10}+\frac{5}{100}+\frac{5}{1000}+\frac{5}{10,000}+\cdots$$