Answer:
thx for the 32 points
Step-by-step explanation:
Use log definition: if logₐ(b) = c then b = a^c
log₃(x) = 6 → x = 3⁶
x = 3⁶ → x = 726
Therefore, x = 726
Best of Luck!
Answer:
0.0319
Step-by-step explanation:
To approximate this probability, we shall be using the Bernoulli approximation of the Binomial distribution.
Let p = probability of selecting a reference book = 65% = 0.65
Let q = probability of selecting other books= 1-p = 1-0.65 = 0.35
Now, we want to find the probability that all of these 8 books to be re-shelved are reference book.
We set up the probability as follows;
P(X = 8) = 8C8 •p^8•q^0
P(X = 8) = 1 * (0.65)^8 * (0.35)^0
P(X = 8) = 0.031864481289 which is 0.0319 to 4 decimal places
Answer:
0.5152
Step-by-step explanation:
According to defintion of compostion of functions, we can get:

But we know, that:

Our goal, is to express that function as a composition:

I.e:

If

then

. Hence,