A relation is a function if the value in its Domain does not occur more than once. This means each domain value is paired with exactly one value of range.
In the given scenario, the domain is the students (e.g name of a student) and the function returns the date of birth of the student. A student can have only one date of birth. So it is not possible that a value in Domain(i.e. a student) is paired with more than one date of births.
Therefore, we can conclude that the given relation describes a function.
Let N be the number of blue counters. This implies that 3N counters are red, and there are 4N counters in total.
Assuming that you don't reinsert the first counter, for the first pick, you have N blue counters over 4N total counters, so you'll pick a blue counter with probability
For the second pick, you're left with N-1 blue counters over 4N-1 counters, so you'll pick a blue counter with probability
The probability of picking two blue counters with two picks is the product of the two probabilities:
And we want this to equal 1/20, so we have
We can expand the left hand side and solve for N:
So, there are 4 blue counters and 12 red counters, for a total of 16 counters in the bag.
We can indeed verify that the probabilities of picking the two blue counters is
For 300 more square feet the rent is $150 more.
Rent per additional square foot is 150/300 or 0.50.
For an additional 400 square feet the rent is an additional 400(0.50) or $200.
The rent for 1500 feet squared office is $1325.
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Answer: <em>
B.) 1/8 of a gallon</em></h3>
Step-by-step explanation: