Mathematics

A manufacturer of computer chips has a computer hardware company as its largest customer. The computer hardware company requires all of its chips to meet specifications of 1.2 cm. The vice-president of manufacturing, concerned about a possible loss of sales, assigns his production manager the task of ensuring that chips are produced to meet the specification of 1.2 cm.

Based on the production run from last month, a 95% confidence interval was computed for the mean length of a computer chip resulting in:

95% confidence interval: (0.9 cm, 1.1 cm)

What are the elements that the production manager should consider in determining his company’s ability to produce chips that meet specifications?

Do the chips produced meet the desired specifications?

What reasons should the production manager provide to the vice-president to justify that the production team is meeting specifications?

How will this decision impact the chip manufacturer’s sales and net profit?

Math 012

Quiz 4 Page 5

Math 012 Quiz 4

Professor: Dr. Mark Kaplan

Name________________________________

Instructions:

· The quiz is worth 100 points. There are 10 problems, each worth 10 points.

· This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone.

· You must show all of your work to receive full credit. If a problem does not seem to require work, write a sentence or two to justify your answer.

· Please type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your quiz in the Unit Quizzes Module.

· If you have any questions, please contact me by e-mail (mark.kaplan@umuc.edu).

Please remember to show all of your work.

1) Find the excluded values for the algebraic fraction:

2) Find the excluded values for the algebraic fraction:

3) Perform the indicated operation and simplify your answer:

4) Perform the indicated operation and simplify your answer:

5) Perform the indicated operation and simplify your answer:

6) Perform the indicated operation and simplify your answer:

7) Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state than on your paper. Use the method discussed in Section 7.7 of our text, clearing fractions from the equation first.

8) Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state that on your paper. Use the method discussed in Section 7.7 of our text, clearing fractions from the equation first.

9) If a 9-foot tall adult elephant casts an 18-foot shadow, how long is the shadow of the 6-foot zookeeper? Use a proportion to set up and solve an equation. Round your answer to the nearest tenth of a foot if necessary.

10) Ellen worked 12 more overtime hours than Andrew one week. If Ellen worked 8 overtime hours for every 5 overtime hours that Andrew worked, for how many hours of overtime did each person work? Round your answer to the nearest tenth of an hour if necessary.

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