<h3>
Answer: D. x = 4</h3>
===============================================
Explanation:
First compute f(2)
f(x) = 3x-1
f(2) = 3(2) - 1 ... replace every x with 2; use PEMDAS to simplify
f(2) = 6 - 1
f(2) = 5
When we say g(x) = f(2), we really mean g(x) = 5
g(x) = 2x-3
2x-3 = g(x)
2x-3 = 5 .... plug in g(x) = 5
2x-3+3 = 5+3 ... add 3 to both sides
2x = 8
2x/2 = 8/2 ... dividing both sides by 2
x = 4
Product is another word for multiplication. so its 8 multiplied by 5 multiplied by 't'
8× 5(t)
2^4x^11000000 would be the answer in scientific notation.
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