Linda bought 13 plants to arrange along the border of her garden. How many distinct arrangements can she make if the plants are
1 answer:
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Answer:
66.76% probability that the levee will NEVER fail in the next 20 years.
Step-by-step explanation:
For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that
What is the risk that the levee will NEVER fail in the next 20 years?
This is when
. So
66.76% probability that the levee will NEVER fail in the next 20 years.
Answer:
The amount of nuclear fuel required is 1.24 kg.
Step-by-step explanation:
From the principle of mass energy equivalence we know that energy generated by mass 'm' in an nuclear plant is
where
'c' is the speed of light in free space
Since the power plant operates at 1200 MW thus the total energy produced in 1 year equals
Thus using the energy produced in the energy equivalence we get
Now since the efficiency of conversion is 34% thus the fuel required equals