Answer:
0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
Step-by-step explanation:
We are given the following information in the question:
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.
The distribution function can be written as:

The probability for exponential distribution is given as:

a) P( time between the next two calls will be 54 seconds or less)

0.52763 is the probability that the time between the next two calls will be 54 seconds or less. 
b) P(time between the next two calls will be greater than 118.5 seconds)

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
 
        
             
        
        
        
9514 1404 393
Answer:
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Step-by-step explanation:
For interest compounded in discrete intervals, the formula is ...
   A = P(1 +r/n)^(nt)
We want to find t for P=1 and A=2, so we have ...
   2 = (1 +r/n)^(nt)
   ln(2) = nt·ln(1+r/n)
   t = ln(2)/(n·ln(1+r/n))
A table of values for r=0.08 is attached.
__
For continuous compounding, the formula is ...
   A = Pe^(rt)
   t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years
__
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
 
        
             
        
        
        
Answer:   .
 .
Step-by-step explanation:
Distance formula : Distance between points (a,b) and (c,d) is given by :-

Distance between points  .
.

Hence, the correct option is  .
 .
 
        
             
        
        
        
<u>Answer-</u>
An angle is labeled with either one capital letter or three capital letters
<u>Solution-</u>
<em>Point-</em>
As a point is 0 dimensional, so you just need 1 point to define a point.  
<em>Line-  </em>
As a line is 1 dimensional,so you need 2 points to define a line.  
<em>Plane-</em>
A plane is 2 0r 3 dimensional, so you need 3 points to define a plane. 
<em>Angle-</em>
An angle measures the amount of turn. An angles is labeled with a single letter at the vertex, as long as it is perfectly clear that there is only one angle at this vertex. Otherwise, it is named according to the intersecting lines with 3 letters.