Which graph has the same end behavior as the graph of f(x) = –3x^3 – x^2 + 1?
1 answer:
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The empirical rule says that about 68% of any normal distribution lies within one standard deviation of the mean. This leaves 32% of the distribution that lies outside this range, with about 16% to either side.
At the 16th percentile, there is a value of
such that
where
is the standard deviation for the distribution, and 
is the random variable corresponding to the standard normal distribution. This value of 
would correspond roughly to a z-score of 
.
You're told that
lies at the 15th percentile, so that
Roughly, then, it'd be fair to say that
. So you have
which falls between (A) and (B). To narrow down the choice, notice that would have be slightly larger than 340 in order to have 
. This brings closer to the mean, and thus suggests the standard deviation for the distribution is actually smaller than our approximation.
This tells us that (A) is the answer.
At the 16th percentile, there is a value of
where
You're told that
Roughly, then, it'd be fair to say that
which falls between (A) and (B). To narrow down the choice, notice that
This tells us that (A) is the answer.
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) =
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) =
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) =
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability =
probability = 0.2517
Solution: The correct option is option D.
Explanation:
The end behavior is the behavior of function as the input of the function approaches to very large value and very small value.
If a function is f(x), then at and
the value of f(x) approaches to either infinity or negative infinity which defines the end behavior.
From the given table it is noticed that the as x decreases and approaches to large negative values then the values of the function is also approaches to the large negative values. According to the table as ,
.
From the given table it is noticed that the as x increases and approaches to large positive values then the values of the function is approaches to the large negative values. According to the table as ,
.
Since only option D satisfy the both conditions, therefore the correct option is option D.