A cylinder has a radius of 14 m and a height of 6 m.
1 answer:
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Answer:
(25,18) is the required solution.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of trips to the airport and y represent the number of trips from the airport.
Total number of fares to and from the airport = 43
Thus, we can write the equation:
Price for a ride to the airport = $12
Price for a ride from the airport = $10
Total amount collected by the driver = $480
Thus, we can write the equation:
Solving the two equations, we get,
Thus, the driver made 25 trips to the airport and 18 trips from the airport.
The solution can be represented as (25,18)
Answer:
(a) 0.29412 .
(b) No, the events selecting company A and incurring in cost overruns are not independent.
Step-by-step explanation:
We are given that a certain federal agency employs three consulting firms (A, B and C) with probabilities 0.4, 0.35 and 0.25 respectively i.e.;
P(A) = 0.4 P(B) = 0.35 P(C) = 0.25
Also, From past experience it is known that the probability of cost overruns for the firms are 0.05, 0.03, and 0.15, respectively which means;
Let CO = Event of cost overruns
P(CO/A) = 0.05 - It means probability of cost overruns given the consulting firm involved was A.
Similarly, P(CO/B) = 0.03 P(CO/C) = 0.15
(a) Probability that the consulting firm involved is company A given a cost overrun is experienced by the company is given by, P(A/CO);
We will use Bayes' theorem here calculating the above probability ;
P(A/CO) =
= = 0.29412 .
(b) No, the events selecting company A and incurring in cost overruns are not independent because the cost overruns happens only when the consulting firm is involved and also the cost overruns will differ as we move towards another consulting firm so the chances of cost overruns will depend on the fact that which consulting firm has been involved.