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We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function , since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
Solution:
we are given that
A number picked at random from the numbers 1 through 15 is prime.
As we know the number between 1 and 15 which are primes are listed below
2,3,5,7,11,13.
Here total number of favourable outcomes are 6.
The numbers 1 through 15 are as below:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.
Here total number of possible outcoes are 15.
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime is 0.4