ANSWER
C. The left end goes up; the right end goes down.
EXPLANATION
The given function is
We analyze the end behavior of this function using the leading term.
The leading term of this function is:
Since the degree(5) is odd and the leading coefficient (-2) is negative, the graph rises on the left and falls on the right.
In other words, the left end of the graph goes up and the right end goes down.
The correct option is C.
Answer:
The probability that the assembly line will be shut down is 0.00617.
Step-by-step explanation:
We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.
Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.
Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 12 bottles
x = number of success = 2 or more bottles
p = probabilitiy of success which in our question is probability that
bottles are not within specification, i.e. p = 0.01
So, X ~ Binom (n = 12, p = 0.01)
Now, the probability that the assembly line will be shut down is given by = P(X 2)
P(X 2) = 1 - P(X = 0) - P(X = 1)
=
=
= <u>0.00617</u>
One of the closest answers would be 3.010
The end behavior of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
Degree - 3 (odd);
Leading coefficient - 2 (positive).
Then
See attached graph of the function for graphical illustration.
