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.
Answer:
a. (8 × 2) = (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) = 16
b. (8 × 2) = (2 × 8) = (8 + 8 ) = 16 {Using the commutative property}
c. It is easier to calculate (8 + 8 ) than (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2).
Step-by-step explanation:
Multiplication operation is equivalent to the repeated addition operation.
For example (3 × 4) can be treated as 3 groups of 4 or 4 + 4 + 4 then use the addition facts to learn the multiplication facts.
a. Now, (8 × 2) can be treated as 8 groups of 2 or 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 then using the addition facts we get (8 × 2) = (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) = 16
b. If we apply the commutative property of multiplication then (8 × 2) = (2 × 8) and we can assume it as 2 groups of 8 or (8 + 8) i.e. 16 which makes it easier to get the multiplication process by addition operation.
c. It is clear that (8 + 8) is much more easier to calculate than (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) by addition operation. (Answer)
Answer:
The answer is 0.132
Step-by-step explanation:
12/10*11/100
132/1000
=0.132
1) Point-slope form
(y-y1)=m(x-x1)
m= - 3,
point (3,-4), so x1 = 3, y1 = - 4.
(y+4)= -3(x- 3)
2)Point-slope form
(y-y1)=m(x-x1)
m= - 3/4,
point (4,5), so x1 = 4, y1 = 5.
(y-5)= - 3/4(x-4)