Determine the relationship between the two triangles and whether or not they
1 answer:
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Answer:
Explanation:we will solve this question with help of linear programming.
Now, let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y
And s.t.r. 2x+3y≤105, where x≥5, y≥15.
since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.
But, 0≥5 and 0≥15 are false, so their area will not cover the origin.
Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)
Z at A- 180×5+300×31.667=10,400.1
at B-180×5+300×15=1350( which is minimum.)
at C- 180×30+300×15=5,850
Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.
Answer:
(a) The value of <em>x</em> is 0.30.
(b) The probability that a reported case of rabies is not a raccoon is 0.45.
(c) The probability that a reported case of rabies is either a bat or a fox is 0.15.
Step-by-step explanation:
Denote the events as follows:
<em>R</em> = reported case of rabies is a raccoon
<em>F</em> = reported case of rabies is a fox
<em>B</em> = reported case of rabies is a bat
<em>O</em> = reported case of rabies is a some other animal.
The data provided is:
P (R) = 0.55
P (F) = 0.11
P (B) = 0.04
P (O) = <em>x</em>.
(a)
A property of a probability distribution is that the sum of all individual properties is 1.
That is,
Compute the value of <em>x</em> as follows:
Thus, the value of <em>x</em> is 0.30.
(b)
The probability of the complement of an event is the probability of its not happening.
Compute the probability that a reported case of rabies is not a raccoon as follows:
Thus, the probability that a reported case of rabies is not a raccoon is 0.45.
(c)
Compute the probability that a reported case of rabies is either a bat or a fox as follows:
Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.