Which of the following ordered pairs could not be included in this set if its a function? (-4,2) (3,6) (4,3) (?,?)
1 answer:
Given:
The set of ordered pair (-4,2), (3,6), (4,3), (?,?).
To find:
The ordered pairs that could not be included in this set if its a function.
Solution:
We know that, a relation or a set of ordered pairs is a function if there exist a unique output (y-value) for each input (x-value).
If (-4,-3) point is included in the given set of ordered pair, then we have for
.
Since there are more than one output value at , therefore the given set of ordered pairs will not be a functions after including the point (-4,-3).
If points (1,2), (3,6) and (-3,6) are included in the given set of ordered pair, then there exist a unique output for each input.
So, the given set of ordered pairs will be a functions after including the points (1,2), (3,6) and (-3,6).
Therefore, the correct option is A.
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Answer:
The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.
Step-by-step explanation:
We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.
If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.
The standard deviation of the sample is equal to:
With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:
Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is: