An officer at a prison was studying recidivism among the prison inmates. The officer questioned cach inmate to find out how many times the inmate had been convicted prior to the inmate's current conviction. The officer came up with the following table that shows the relative frequencies of X, the number of times previously convicted:

Length of hypotenuse = √( a² + b²)

Step-by-step explanation:

The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.

Find attached the diagram used in solving the question.

From the diagram,

a = opposite

b = adjacent

c = hypotenuse

To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.

Using Pythagoras theorem

Hypotenuse² = opposite ² + adjacent²

Insert the values of each, we have:

c² = a² + b²

Then we find the Square root both sides

c = √( a² + b²)

So we can insert the values of a and b if we are given.

For instance, if b = 6

c = √( a² + 6²)

Using the diagram,

Hypotenuse: c = √( a² + b²)

(Not Mine)