The given points are the vertices of the quadrilateral
By Green's theorem, the line integral is
Which evidence from "Charles" supports the inference that Laurie enjoys that his parents believe his stories about Charles? Sele
1 answer:
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Part A: Option e:
Option f:
Part B: Option c:
Option d:
Part C: Option a:
Option b:
Explanation:
Part A: The equation is
Simplifying, we have,
Taking the term 5 common out, we have,
Thus, the above two expressions are equivalent to the equation .
Hence, Option e and Option f are the correct answers.
Part B: The equation is
Taking the term 15 common out, we have,
Also, the equation can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option c and Option d are the correct answers.
Part C: The equation is
Multiplying, we have,
The above expression can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option a and Option b are the correct answers.
Answer:
a) 91.33% probability that at most 6 will come to a complete stop
b) 10.91% probability that exactly 6 will come to a complete stop.
c) 19.58% probability that at least 6 will come to a complete stop
d) 4 of the next 20 drivers do you expect to come to a complete stop
Step-by-step explanation:
For each driver, there are only two possible outcomes. Either they will come to a complete stop, or they will not. The probability of a driver coming to a complete stop is independent of other drivers. 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.
20% of all drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible.
This means that
20 drivers
This means that
a. at most 6 will come to a complete stop?
In which
91.33% probability that at most 6 will come to a complete stop
b. Exactly 6 will come to a complete stop?
10.91% probability that exactly 6 will come to a complete stop.
c. At least 6 will come to a complete stop?
Either less than 6 will come to a complete stop, or at least 6 will. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
19.58% probability that at least 6 will come to a complete stop
d. How many of the next 20 drivers do you expect to come to a complete stop?
The expected value of the binomial distribution is
4 of the next 20 drivers do you expect to come to a complete stop