Solving Exponential and Logarithmic Equations In Exercise, solve for x. In 2x - In(3x - 1) = 0
1 answer:
You might be interested in
Simply divide 3 by 0.7,
Or ≈ 4.28571 which is ≈ 4 years.
Or ≈ 4.28571 which is ≈ 4 years.
Answer:
Step-by-step explanation:
We were given the slope formula;
This line is vertical if the denominator is zero.
That is when
This implies that;
Justification;
When , then, the line passes through;
and
The slope now become
The equation of the line is
This implies that;
... This is the equation of a vertical line.
Answer:
a) P(t>3)=0.30
b) P(t>10|t>9)=0.67
Step-by-step explanation:
We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.
The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.
The probabity that a repair time exceeds k hours can be written as:
(a) the probability that a repair time exceeds 3 hours?
(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?
The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.
In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.