Carlos went to gas station A and paid $54 for 25 gallons. Sasha went to gas
1 answer:
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Answer:
A) (17 ; 550)
B) $17/item
C) 550
Step-by-step explanation:
First we must calculate the intersection point of the two lines. Since in that point <em>y</em> has the same value in both equations, we can obtain <em>x </em>by equalling the two equations and then using that value for obtaining <em>y</em>:
So the value of <em>x</em> in the intersection point is 17. We now use this value with either one of the equations to obtain <em>y</em><em>. </em>Let's use the supply equation:
So the intersection point is (17 ; 550)
Supply and demand are in equilibrium when the amount of items on supply are the same as the ones on demand. That is the point were the two lines intersect, which means the selling price is the <em>x</em> coordinate and the amount of items is the <em>y</em> coordinate, so that is a selling price of <em>$17/item</em> with a number of items of <em>550</em>.
The chances that the student was merely guessing is 1/3.
Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.
denoted by
let A be the event that the student knows the answer .
B be the event that the student does not knows the answer .
and
E be the event he gets answer correct .
According to the given question
Probability that the answer is correct ,given that he knows the answer is
Probability that the answer is correct ,given that he guesses it is
[as the MCQ has 3 options and only one is correct]
We need to find the probability that he guesses the answer given that it is correct.
Required probability
Substituting the values we get
Therefore , the chances that the student was merely guessing is 1/3.
Learn more about Probability here brainly.com/question/13140147
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