How many significant digits are contained in the following

1. 4.17
2. 417
3. 0.0417
4. 0.000417
5. 4.017

Solution Preview

When are Digits Significant?
Non-zero digits are always significant. Thus, 22 has two significant digits, and 22.3 has three significant digits.
With zeroes, the situation is more complicated:
1. Zeroes placed before other digits are not significant; 0.046 has two significant digits.
2. ...

Solution Summary

The solution provides detailed explanations and answers for the problem.

a. A book of 450 pages contains 450 random misprint error(s). What is the probability of exactly 0 errors on a randomly selected page?
b. What is the probability of at least 3 error(s) on any one page?
c. What is the probability of between 1 and 4 (inclusive) random misprint error on any one page? Express you answer using 3 s

In the New York State Win 4 lottery, you place a bet by selecting four digits. Repetition is allowed, and winning requires that your sequence of four digits matches the four digits that are later drawn. Assume you placed one bet with a sequence of four digits.
a. Use the multiplication rule to find the probability that your f

Howmany different license plate numbers can be made using 2 letters followed by 4 digits selected from thedigits 0 through 9, if
a) Letters and digits may be repeated?
b) Letters may be repeated, but digits may not be repeated?
c) Neither letters nor digits may be repeated?
Show reasoning

1. You must show all steps including formulas used and all calculations done to arrive at the final answers. Incomplete solutions will receive partial credit.
2. Use at least four significantdigits at all intermediate steps. Round off the final answers appropriately. Note: 0.0042 is only two significantdigits as leading zer

On January 1, 2000, B. Company purchased equipment at a cost of $50,000. The equipment was estimated to have a salvage value of $5,000 and it is being depreciated over eight years under the sum-of-the-years'-digits method.
What should be the charge for depreciation of this equipment for the year ended December 31, 2007?

If n >= 1, the number of strings using thedigits 0,1, and 2 with no two consecutive places holding the same digit, is 3x2^n-1. For example, there are 12 such strings of length three: 010, 012, 020, 021, 101, 102, 120, 121, 201, 202, 210, and 212.
Prove this claim by induction on the length of the strings. Is the formula tr

Derive rules to test whether a number is divisible by N, where N ranges from 2 to 13. E.g. A number is divisible by 3 if the sum of thedigits is divisible by 3. Show that a palindromic number which has an even number of digits is always divisible by 11.

Could someone show me how to solve thefollowing.
20. Howmany different license plates can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits?

Multiply or Divide thefollowing problems. Round to the correct number of significant figures.
a) (64.69)(8.08) = _____________ b) 0.7406/0.144 = ____________
c) (354.43)(4.596) = _____________ d) 345.67/9.01 = _____________