460802421-CSP-02-Math-Study-Questions-Rev005.pdf

B ow e n E H S, I nc. CSP 02 Math Study Questions Solve for x: 1. 4x2 + 4x -2 = 0 A. -0.87 or 0.87 B. -1.37 or 0.37 C. -1.87 or -0.13 D. -2.00 or 2.00 2. x = 5253 (x = 5?) A....

B ow e n E H S, I nc. CSP 02 Math Study Questions Solve for x: 1. 4x2 + 4x -2 = 0 A. -0.87 or 0.87 B. -1.37 or 0.37 C. -1.87 or -0.13 D. -2.00 or 2.00 2. x = 5253 (x = 5?) A. 25 B. 125 C. 625 D. 3125 3. 60 = 4x A. 2.95 B. 15.0 C. 19.1 D. 891 4. x = log 125 A. 0.02 B. 2.10 C. 4.83 D. 10.08 5. 0.125 = log x A. 1.13 B. 1.33 C. 7.52 D. 13.3 CSP 02 Math Study Questions Page 1 of 4 Copyright © 2007 Bowen EHS, Inc.  B ow e n E H S, I nc. 6. x2 + 4x + 4 = 0 A. -2.00 B. 0.00 C. 1.00 D. 2.00 7. Convert 15 mph into meters/sec A. 0.11 m/sec B. 6.71 m/sec C. 72.2 m/sec D. 403 m/sec 8. Convert 700 mm Hg to inches of water A. 13.5 in H2O B. 31.3 in H2O C. 162 in H2O D. 375 in H2O 9. Convert 3 gallons to cubic feet A. 0.400 ft3 B. 0.424 ft3 C. 1.00 ft3 D. 360 ft3 CSP 02 Math Study Questions Page 2 of 4 Copyright © 2007 Bowen EHS, Inc.  B ow e n E H S, I nc. 10. A computer controls critical procedures at a chemical plant. The computer is powered by the plant electrical system which is powered by the local electric utility. The computer also has a battery back-up (UPS) that will provide power to the computer for up to 30 minutes. The critical procedures can be safely shut down in 10 minutes. The probability of the plant losing power on any given day is 0.0075. The probability that the UPS will fail on any given day is 3.1 x 10-6. How often do you expect a power failure to cause a problem? A. 1 day out of every 118 years B. 1 day out of every 11,800 years C. 1 day out of every 118,000 years D. 1 day out of every 1,180,000 years 11. What is the probability there will NOT be a problem on any given day with the computer? A. 0.999977 B. 0.99999977 C. 0.999999977 D. 0.9999999977 12. A respirator manufacturer randomly samples 7 filters produced each day. The filters are tested for breakthrough. The test results from one day’s sample are given below. What is the average breakthrough time for these filters? What is the standard deviation? All times are in hours. 15.5 17.4 8.3 14.2 16.1 21.0 17.1 A. 15.7 and 3.88 B. 15.7 and 15.0 C. 18.3 and 3.88 D. 18.3 and 15.0 CSP 02 Math Study Questions Page 3 of 4 Copyright © 2007 Bowen EHS, Inc.  B ow e n E H S, I nc. 13. Assume the distribution is normally distributed. What percentage of respirator filters is expected to have a breakthrough time of less than 8 hours? A. 2.4% B. 47.6% C. 97.6% D. This cannot be determined. 14. A spill containment wall built around the base of a 4,000 gallon tank must contain the contents of the tank plus 10%. The containment wall is 20 ft long and 20ft wide. How high must the wall be? A. 1.0 ft B. 1.5 ft C. 3.0 ft D. 4.5 ft CSP 02 Math Study Questions Page 4 of 4 Copyright © 2007 Bowen EHS, Inc.