Increase the quantity 75 by 25%
2 answers:
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The right answer is c. –2.24, 2, 2.24
This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.
1. Using a graphing calculator.
We have the following polynomial equation:
By ordering this equation we have:
So, we can say that this equation comes from a function given by:
Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of which are:
Finally, rounding noninteger roots to the nearest hundredth we have:
2. Using a system of equations.
The ordered equation is:
By arranging to factor out we have:
Then, by factoring:
Term is a common factor, thus:
Answer:
1.76% probability that in one hour more than 5 clients arrive
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.
This means that
What is the probability that in one hour more than 5 clients arrive
Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So
We want P(X > 5). So
In which
1.76% probability that in one hour more than 5 clients arrive