Answer:
0.0492
Step-by-step explanation:
Based on the tree diagram we need to tell the the probability that the test for lice returns a false positive. False positive means that the student has no lice but still the test shows a positive result.
So for this we have to first look for the branch, from the starting node, which shows that student has no lice. From the starting point, the upper branch represents the students that have lice and lower branch represents the students who have no lice. So, we will consider the lower branch with probability mentioned as 0.82
Now, the lower branch is divided into two branches further. We have to look for the branch which shows positive test result. This would be the upper branch with probability mentioned as 0.06.
The overall probability of this event is mentioned at the end of the branch which is 0.0492
This is the probability of the combined event: Student has no lice but tests shows positive result which is the False positive.
Thus, the probability that the test for lice returns a false positive is 0.0492
Answer:
Step-by-step explanation:
Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
And the cost of 6 soft drinks can be represented with this expression:
Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
<em>[Equation 1]</em>
The following expression represents the the cost of 3 soft drinks:
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
<em> [Equation 2]</em>
Therefore, the <em>Equation 1 </em>and the <em>Equation 2 </em>can be used to determine the price of a hamburger and the price of a soft drink
The average of both sides are the same.
Hope I helped! ( Smiles )
3 cans = $1.50
1.50
------- = 1 can
3 cans
1.50
------- = .50
3
1 can = $.50