Exam 10: Additional Topics in Algebra

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Use the following to answer questions : Kelly earns $8.80 per hour. Each year she receives a $0.80 hourly raise. -How much will Angie make the fifth year if she works 8 hr per day for 250 working days?

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Evaluate the sum. Use the summation properties from Section 8.1. Evaluate the sum. Use the summation properties from Section 8.1.

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Use mathematical induction to prove that n2 - 13n is divisible by 2.

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Use the binomial theorem to write the first three terms. Use the binomial theorem to write the first three terms.

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Find a6 for a geometric sequence with a1 = 3 and r = Find a<sub>6</sub> for a geometric sequence with a<sub>1</sub> = 3 and r =   . .

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Use the following to answer questions : A teacher asked her students, "Do you like strawberry ice cream?" The responses are shown in the following table. Use the following to answer questions : A teacher asked her students, Do you like strawberry ice cream? The responses are shown in the following table.    One student is selected at random. -What is the probability the student answered No and is a boy? One student is selected at random. -What is the probability the student answered "No" and is a boy?

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Find the probability indicated using the information given. Given P(E1) = 0.6, P(E2) = 0.5, and P(E1 \cup E2) = 0.9, compute P(E1 \cap E2).

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Write the first four terms of the geometric sequence given a1 = 2 and r = -4.

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Use the following to answer questions : an = (-1)n (n + 1) -Find the 20th term.

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A lock uses the numbers 0 through 12 for a four-number combination. How many different combinations are possible?

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Use the following to answer questions : 14, 20, 26, 32, 38, . . . -Predict the next term for the sequence.

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Simplify the factorial expression. Simplify the factorial expression.

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Use the binomial theorem to write the first three terms. (x + 2y)10

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Evaluate the sum. Evaluate the sum.

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Use the following to answer questions : A teacher asked her students, "Do you like strawberry ice cream?" The responses are shown in the following table. Use the following to answer questions : A teacher asked her students, Do you like strawberry ice cream? The responses are shown in the following table.    One student is selected at random. -What is the probability the student answered No or is a girl? One student is selected at random. -What is the probability the student answered "No" or is a girl?

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Use the following to answer questions : A game is played using a spinner like the one shown. Use the following to answer questions : A game is played using a spinner like the one shown.   -For each spin, what is the probability the arrow lands on a prime number? -For each spin, what is the probability the arrow lands on a prime number?

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Simplify the factorial expression. Simplify the factorial expression.

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Use the following to answer questions : In a class of 20 students, there are 12 girls and 8 boys. Three students are randomly selected to be teacher's assistants. -What is the probability that the group has at least two boys? Round your answer to four decimal places.

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Find the probability indicated using the information given. Given P(E1) = 0.5, P(E2) = 0.3, and P(E1 \cap E2) = 0.1, compute P(E1 \cup E2).

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Simplify the factorial expression. Simplify the factorial expression.

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