Answer:
D
Step-by-step explanation:
Answer:
((6 choose 4) * (5 choose 2) + (6 choose 5) * (5 choose 1) + (6 choose 6) * (5 choose 0)) / (11 choose 6) = 181/462 = 0.3918
Answer:
The probability that there are 8 occurrences in ten minutes is
option B. 0 .0771
Step-by-step explanation:
Given:
Random Variable = x
Mean number of occurrences in ten minutes is 5.3.
The probability of an occurrence is the same in any two time periods of an equal length
To Find:
The probability that there are 8 occurrences in ten minutes = ?
Solution:
Let X be the number of occurrences of the event X
Possion of distribution is given by ,
Substituting the values,
P(X=8) = 0.0771
Answer:
3 ln(1-x) - 3 ln3 - 3 ln x
Step-by-step explanation:
We have the following logarithmic expression.
ln(1-x/3x)³
We apply the logarithm power rule.
3 ln(1-x/3x)
We apply the logarithm quotient rule.
3. [ln(1-x) - ln 3x]
We apply the logarithm product rule.
3. [ln(1-x) - (ln3 + ln x)]
3. [ln(1-x) - ln3 - ln x]
We apply the distributive property.
3 ln(1-x) - 3 ln3 - 3 ln x
Answer:
This means the function touches the x-axis at -1 but does not cross.
Step-by-step explanation:
A polynomial graph has several features we look for to determine the equations.
- The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
- Vice versa. If I know the zero and multiplicity, I can make an accurate sketch of the functions behavior.
This means the function touches the x-axis at -1 but does not cross.
