Answer:
t = 6162 years
Step-by-step explanation:
Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.
The equation to use is that for carbon decay:

If the skull contains 54% of its original amount of C14, then that means that :

we use this to solve for the time (t) in our equation:

which rounded to the nearest year as requested gives :
t = 6162 years
To do this you first have to set this up vertically.
First you multiply through with the 2 (44×2=88). Then next, you have to multiply through with the 1 (44×1=44) But since this is the second line, you have to add the 0 to the end (440).
Now you simply add 88+440=528.
The larger number is (-7+14)/2 = 3.5.
The smaller number is (-7-14)/2 = -10.5.
_____
The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.
Answer:
Incomplete question, but you can use the formulas given to solve it.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:

The probability of finding a value between c and d is:

The probability of finding a value above x is:

Uniform distribution over an interval from 0 to 0.5 milliseconds
This means that 
Determine the probability that the interarrival time between two particles will be:
Considering
, and the question asked, you choose one of the three formulas above.
The quadratic formula is
.
From the problem, a is 1, b is -1, and c is 12. Plugging in these values gives:

Because there is a square root of a negative number, there is no solution.