Answer:
As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5
Step-by-step explanation:
Given function:

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at
(where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator). This is the end behavior.

This is because as
the -7 of the numerator and the +8 of the denominator become negligible. Therefore, we are left with:

Therefore:


Answer:
no pictur no answer
Step-by-step explanation:
Step-by-step explanation:

Answer:
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "number of craked eggs", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the probability:
And replacing we got:

Answer:
0.8%
Step-by-step explanation:
Because they are two independent events, the final probability is the product of the probability of each event.
First event:
The complement of a student being male is that he is female.
Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.
Second event:
If she's taller than 5'4", we're told she has a 2% chance of being a woman.
Therefore the final probability is:
0.4*0.02 = 0.008
That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.