Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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Easy tip: just multiply seven and four together!
7•4=28
So both seven and four fit into 28
Reliable taxis : for 30 miles
C = 1.5x....x = 30
C = 1.5(30)
C = 45
speedy taxis : for 30 miles
C = 1.1x + 11.5....x = 30
C = 1.1(30) + 11.5
C = 33 + 11.5
C = 44.5
city taxis : for 30 miles
C = 1.25x + 8...x = 30
C = 1.25(30) + 8
C = 37.5 + 8
C = 45.5
the cheapest company is : speedy taxis
Answer:
A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
The most important difference is that in the binomial distribution, the value of x represents the successes in n trials.
And by the other hand in the geometric distribution, x represents the number of failures before you get a success in a series of Bernoulli trials.
So then the best answer for this case is:
A. In a binomial distribution, the value of x represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.
