To calculate theoretical probability, divide the number of ______ outcomes by the total number of outcomes.
2 answers:
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Answer:
5 amperes will produce the maximum power of 300 watts.
Step-by-step explanation:
The general form of a quadratic function presents the function in the form
The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.
We can define the vertex by doing the following:
- Identify a, b, and c
- Find, the x-coordinate of the vertex, by substituting a and b into
- Find, the y-coordinate of the vertex, by evaluating
We know that the power generated by an electrical circuit is modeled by
This function is a quadratic function.
To find the current that produce the maximum power you must
- Identify a and b
a = -12 and b = 120
- Find, the maximum current of the vertex, by substituting a and b into
- Find, the maximum-power, by evaluating
5 amperes will produce the maximum power of 300 watts.
We can check our work with the graph of the function and see that the maximum is (5, 300).
Answer:
a) C. No, a carton can have a puncture and a smashed corner.
b) The probability that a carton has a puncture or a smashed corner is P(X ∪ Y) = 0.104.
Step-by-step explanation:
To be mutually exclusive, the probability of the two events happening at the same time should be 0. But the probability that a carton has a puncture and has a smashed corner is 0.004 and not 0.
Then, we can conclude the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" are not mutually exclusive.
The answer is "C. No, a carton can have a puncture and a smashed corner."
We can calculate the probability that the carton has a puncture <em>or </em>has a smashed comer simply by adding the probability of each event:
P(X ∪ Y): probability that a carton has a puncture or a smashed corner.