Which statements about the local maximums and minimums for the given function are true? Choose three options.
1 answer:
The statements about the local maximums and minimums for the given function which are true include:
- Over the interval [2, 4], the local minimum is –8.
- Over the interval [3, 5], the local minimum is –8.
- Over the interval [1, 4], the local maximum is 0.
This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.
According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.
Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.
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Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that
8 authors in total.
This means that
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is . So
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common