Answer:
D
Step-by-step explanation:
X is 21
z is the same as 111
y is 48
The probability of getting heads on the first toss is 1/2 .
Then, the probability of getting heads on the second toss is 1/2 .
Then, the probability of getting heads on the third toss is 1/2 .
The probability of all three things happening is ...
(1/2) x (1/2) x (1/2) = 1/8 = 0.125 = 12.5% .
Answer:
The given series converges and 
Step-by-step explanation:
Given is 108, -18, 3,...
It is an alternate series. An alternate series is convergent if:
1. The series is decreasing.
2. If the last term (n-th term) of series converges to 0.
<u>Since each next term is less than its preceding term, so it is decreasing.</u>
First term, a = 108
Second term = -18
Common ratio, r = -18/108 = -1/6
General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ
<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>
Hence, the given series converges.
Now limit will be: 

Hence, 
Answer: 
Step-by-step explanation:
By definition the domain of an inverse function
is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).
If you have a function
, then to find the inverse function, follow these steps:
1. Make 


2. Solve for the variable "x":

3. Exchange the variable "x" with the variable "y":

4. Exchange "y" with
. Then the inverse function is:

Answer:
5/12
Step-by-step explanation: