F(x) = (1/x) + ln x
At the extreme values, f'(x) = 0
f'(x) = -1/x^2 + 1/x = 0
(x - 1)/x^2 = 0
x - 1 = 0
x = 1
f(1) = 1/1 + ln 1 = 1
Therefore, the extereme value is 1 and occurs at x = 1.
Answer:
The probability that 8 mice are required is 0.2428.
Step-by-step explanation:
Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.
To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?
Solution :
Applying binomial distribution,

Where, p is the probability of success 
q is the probability of failure q=1-p, 
n is total number of trials n=8
r=3
Substitute the values,




Therefore, the probability that 8 mice are required is 0.2428.
<span>The sample space of the rolling the cube is 6.
The probability of rolling 2 in a cube is 1. So p(2) is 1/6
Similarly the probability of rolling 5 in cube is 1.
So, p(5) = 1/6
To find p (2 or 5) which is p(2) + p(5)
p(2) + p(5) = 1/6 + 1/6 which is 2/6.
2/6 can be reduced to 1/3.
so right answer is 1/3</span>
The answer for the question above is the B/Second one or
Y=3(1/3)^x
3x + 7 = x
First, subtract 3x from both sides. / Your problem should look like: 7 = x - 3x
Second, simplify x - 3x to -2x. / Your problem should look like: 7 = -2x
Third, divide both sides by -2. / Your problem should look like:

= x
Fourth, simplify

to

/ Your problem should look like:

= x
Fifth, switch sides. / Your problem should look like: x =

Answer as fraction:

Answer as decimal: -3.5