Answer:
(x) = √ x + 4
Step-by-step explanation:
step 1) replace f(x) with y
y = x² - 4
step 2) switch the x and y (because every (x, y) has a (y, x))
x = y² - 4
step 3) add 4 to both sides of the equal sign
x + 4 = y²
step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)
√ x + 4 = y
step 5) you know have the inverse of f(x) = x² - 4
(x) = √ x + 4
Answer:
0.128
Step-by-step explanation:
We know the probability for any event X is given by,
,
where p is the probability of success and q is the probability of failure.
Here, we are given that p = 0.533.
Since, we have that q = 1 - p
i.e. q = 1 - 0.533
i.e. q = 0.467
It is required to find the probability of 4 wins in the next 5 games i.e. P(X=4) when n = 5.
Substituting the values in the above formula, we get,
i.e.
i.e.
i.e. i.e.
Hence, the probability of 4 wins in the next 5 games is 0.128.
Answer:
0.9855 or 98.55%.
Step-by-step explanation:
The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:
The probability that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.