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Answer:
The possible rational roots are: +1, -1 ,+3, -3, +9, -9
Step-by-step explanation:
The Rational Root Theorem tells us that the possible rational roots of the polynomial are given by all possible quotients formed by factors of the constant term of the polynomial (usually listed as last when written in standard form), divided by possible factors of the polynomial's leading coefficient. And also that we need to consider both the positive and negative forms of such quotients.
So we start noticing that since the leading term of this polynomial is , the leading coefficient is "1", and therefore the list of factors for this is: +1, -1
On the other hand, the constant term of the polynomial is "9", and therefore its factors to consider are: +1, -1 ,+3, -3, +9, -9
Then the quotient of possible factors of the constant term, divided by possible factor of the leading coefficient gives us:
+1, -1 ,+3, -3, +9, -9
And therefore, this is the list of possible roots of the polynomial.
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Answer:
The probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the travel times to get to work.
The expected travel time is, <em>μ</em> = 38.3 minutes.
The distribution of random variable <em>X</em> can be defined as the distribution of time interval between which a person reaches their work place at a constant average rate.
This implies that <em>X</em> follows an Exponential distribution with parameter, .
The probability density function of <em>X</em> is:
Compute the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work as follows:
Thus, the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.