A submarine is 600 feet below sea level. It is rising to the surface at a rate of 15 feet per hour. Which expression represents
1 answer:
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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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Answer:
The probability experiment represents a binomial experiment
Step-by-step explanation:
On a Binomial experiment we have the following:
- There are n identical experiment
- Every experiment has 2 possibilities: success or fail
- There is a probability p of success and (1-p) of fail
- Every experiment is independent
Therefore, the probability experiment represents a binomial experiment because we have:
- The investor purchases 3 stocks listed on a stock exchange
- Every stock has 2 possibilities: increase in value over the course of a year or doesn't increase in value over the course of a year
- There is a probability of 0.49 that the stock increase in value over the course of a year and a probability of (1-0.49) that the stock doesn't increase in value over the course of a year
- The probability that every stock listed on this exchange increase in value over the course of a year is independent.
So, the probability that x stocks from the 3 that the investor purchases increase in value over the course of a year is equal to:
Where n is 3, and p is 0.49