Which of the following random variables are continuous variables and which are discrete​

For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 y=-2x^2+2x+2

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2