Prove this conjecture
1 answer:
Answer:
See explanation
Step-by-step explanation:
Consider the natural number
If is the natural number, then
are next two natural numbers, so numbers
and
are three consecutive numbers.
Given three consecutive natural numbers, one of them is always even number and one of them is always multiple of 3, so the product
is divisible by 6.
You might be interested in
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma()
E(X)=
=
=6 weeks
V(x)=
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, ,
, False)
P()
P()
P()
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
To learn more about probability click here:
#SPJ4