Answer:
(1+√7,0),(1−√7,0)
Step-by-step explanation:
You can't factor the expression evenly, so use the quadratic formula.
a = 2
b= -4
c= -12
End result: (1+√7,0),(1−√7,0)
A water tank contains 12 1/2 liters of water. Two- fifth of it was consumed. How much of it was left?
1 answer:
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Answer:
Step-by-step explanation:
We have been given that
We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes -
And g(x) can be written as
Thus, we have
On cancelling the common factors, we get
Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is