Which graph shows the equation y = x + 2?
2 answers:
You might be interested in
Answer: The third quartile of the distribution is 23.
Step-by-step explanation:
First we write the data in ascending order:
4,5,8,10, 11,11, 13,15,16, 18, 18, 18, 21, 23, 24, 24, 25, 27, 31, 32
Since there are 20 terms:
First half is for First Quartile :
4,5,8,10, 11,11, 13,15,16, 18
Second half is for third Quartile:
18, 18, 21, 23, 24, 24, 25, 27, 31, 32.
So, Value of third quartile would be
Hence, the third quartile of the distribution is 23.
Answer:
see the attached table
Step-by-step explanation:
We assume the formula of interest is ...
residual = (initial amount)(1 -k)^t . . . . . . assuming k is a positive number
Where T is the half-life, this formula can also be expressed as ...
residual = (initial amount)(1/2)^(t/T)
Then the relationship between k and T is ...
(1 -k)^t = (1/2)^(t/T)
or ...
1 -k = (1/2)^(1/T)
This lets us write k in terms of T as ...
k = 1 -(1/2)^(1/T)
and it lets us write T in terms of k as ...
log(1-k) = (1/T)log(1/2)
T = log(1/2)/log(1-k)
__
The attached spreadsheet table implements these formulas to compute T from k and vice versa. Formatting is in % and to four decimal places as required by the problem statement.
