Answer:
264 with a remainder of 4
Step-by-step explanation:
9514 1404 393
Answer:
a) 1,544,804,416
b) 52,523,350,144
c) 34
Step-by-step explanation:
(a) Each character position can be any of 24 letters or 10 digits, so any of 34 characters. The number of possible characters sets increases by a factor of 34 for each added character. A six-character plate will have ...
34^6 = 1,544,804,416 . . . possibilities
__
(b) 34^7 = 52,523,350,144 . . . possibilities
__
(c) 34^7/34^6 = 34 . . . times as many
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average
is:

The standard deviation
is:

The Z-score is:

We seek to find

For P(x>800) The Z-score is:



The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

For P(x<200) The Z-score is:



The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

Therefore



The answer is 13.1
Since it is a right triangle, it has to be 90 degrees. If you add 35.7 and 41.2, you get 76.9. So, 90-76.9=13.1
Answer:
28 billion dollars
Step-by-step explanation:
The total spent on research and development by the federal government in the United States during 2002–2012 can be approximated by
billion dollars (2 ≤ t ≤ 12), where t is the year since 2000.
If t=6, that is, In the year 2006,


=28 billion dollars (To the nearest billion dollars)
In 2006, the federal government of the United States spent approximately $28 billion on research and development.