Excursions in Modern Mathematics (9th Edition)
Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Chapter 7, Problem 15E

In Exercises 11 through 24 you are given information about a network. Choose one of the following three options: (A) the network is definitely a tree; (B) the network is definitely not a tree; (C) the network may or may not be a tree (more information is needed). Accompany you answer with a brief explanation for your choice.

The network has redundancy R – 1.

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4.96 The  breaking  strengths  for  1-foot-square  samples  of  a  particular  synthetic  fabric  are  approximately  normally  distributed  with  a  mean  of  2,250  pounds  per  square  inch  (psi)  and  a  standard deviation of 10.2 psi. Find the probability of selecting a  1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.4.97 Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15  1-foot sections is obtained, and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, describe the sampling distribution forybased on random samples of 15  1-foot sections of new fabric
Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter | (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) ☐ 1. For all n > 1, seriesΣ In(n) In(n) converges. 2, 1, arctan(n) the series arctan(n) n³ ☐ 4. For all n > 1, 123 converges. 1 n ln(n) series In(n) diverges. 2n . and the seriesΣconverges, so by the Comparison Test, 2, 3, and the series converges, so by the Comparison Test, the series-3 1 converges. ☐ 6. For all n > 2, In(n) >, and the series Σ converges, so by the Comparison Test, the seriesΣ In(n) converges.
In 2012, the employees of Radcliff Ltd. agreed to purchase 5% of the share capital of 10 million shares of $2 each. There are 20 employees in the plan, and each purchased an equal number of shares. Johnson works at Radcliff Ltd. What would be his ESOP share deduction?        $45,000      $25,000      $75,000   $50,000.

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Excursions in Modern Mathematics (9th Edition)

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