A group of 32 students have raised money to help pay for a field trip to the Outer Banks Research Park. The trip will cost $3,20
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According to the question, to express the rational function for the vertical asymptote whose equation is and horizontal asymptote whose equation is at
As per the question, the function 'f(x)' is vertical at . Therefore, the denominator be
The function 'g(x)' should have same degree as the denominator function has and it is defined as
The rational function can be written as:
Rational function =
What is rational function?
Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.
To learn more about rational function from the given link:
<u>brainly.com/question/19044037</u>
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Answer:
(a) 11.25 and 1.68
(b) 0.1651
(c) 0.3903
(d) 0.6865
Step-by-step explanation:
We are given that GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases and suppose the 15 cases reported today are representative of all complaints.
This situation can be represented through Binomial distribution as;
where, n = number of trials (samples) taken = 15
r = number of success
p = probability of success which in our question is % of cases in
which customer problems are resolved on the same day, i.e.;75%
So, here X ~
(a) Expected number of problems to be resolved today = E(X)
E(X) = = n * p = 15 * 0.75 = 11.25
Standard deviation = =
=
= 1.68
(b) Probability that 10 of the problems can be resolved today = P(X = 10)
P(X = 10) =
= = 0.1651
(c) Probability that 10 or 11 of the problems can be resolved today is given by = P(X = 10) + P(X = 11)
=
= = 0.3903
(d) Probability that more than 10 of the problems can be resolved today is
given by = P(X > 10)
P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)
=
=
= 0.6865