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CSP 02 Math Study Questions

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Questions and Answers

What is the probability that there will NOT be a problem on any given day with the computer?

0.99999977

0.9999999977

0.999999977

0.999977 (correct)

What is the average breakthrough time for the respirator filters in hours?

17.1

16.1

15.7 (correct)

18.3

What is the standard deviation of the breakthrough times for the respirator filters in hours?

3.88 (correct)

17.4

21.0

15.0

What percentage of respirator filters is expected to have a breakthrough time of less than 8 hours?

2.4% Signup and view all the answers

How high must the spill containment wall be to contain the contents of the 4,000 gallon tank plus 10%?

3.0 ft Signup and view all the answers

What is the area of the spill containment wall in square feet?

400 ft^2 Signup and view all the answers

What is the value of x in the equation 4x2 + 4x - 2 = 0?

-0.87 or 0.87 Signup and view all the answers

What is the value of x in the equation x = 5253, if x = 5?

3125 Signup and view all the answers

What is the value of x in the equation 60 = 4x?

15.0 Signup and view all the answers

What is the value of x in the equation x = log 125?

4.83 Signup and view all the answers

What is the value of x in the equation 0.125 = log x?

1.33 Signup and view all the answers

What is the value of x in the equation x2 + 4x + 4 = 0?

-2.00 Signup and view all the answers

What is the speed of 15 mph in meters per second?

6.71 m/sec Signup and view all the answers

How often do you expect a power failure to cause a problem in the given scenario?

1 day out of every 118 years Signup and view all the answers

Study Notes

Algebraic Equations

To solve for x in the equation 4x2 + 4x - 2 = 0, the possible solutions are -0.87 or 0.87.
The equation x = 5253 has a solution of 625.
The equation 60 = 4x has a solution of 15.
The equation x = log 125 has a solution of 2.10.
The equation 0.125 = log x has a solution of 1.33.
The equation x2 + 4x + 4 = 0 has a solution of -2.00.

Unit Conversions

15 mph is equivalent to 6.71 m/sec.
700 mm Hg is equivalent to 31.3 in H2O.
3 gallons is equivalent to 0.424 ft3.

Probability and Statistics

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.
The probability of a power failure causing a problem is 1 day out of every 118,000 years.
The probability of there NOT being a problem on any given day with the computer is 0.99999977.
The average breakthrough time for respirator filters is 15.7 hours, with a standard deviation of 3.88 hours.
2.4% of respirator filters are expected to have a breakthrough time of less than 8 hours.

Real-World Applications

A spill containment wall built around the base of a 4,000 gallon tank must contain the contents of the tank plus 10%, and must be at least 3.0 ft high.