Suppose the coefficient matrix of a linear system of three equations in three variables has a pivot in each column. Explain why
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With the information given, we deduce that the parabola is
Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes
And to shift down a function, you subtract the shift from the equation: the equation becomes
Similarly, the other function is reflected over the x axis (sign change) and shifted up 3 (add 3 to the equation):
In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have
For the other function, we have
It would help if we represent the information in form of two-ways table as shown below
The number of students who are not on probation is 104 students
There are 23 students who are not on probation and is satisfied is 81 students
The probability of students not on probation and is satisfied is 81/104
The number of students who are not on probation is 104 students
There are 23 students who are not on probation and is satisfied is 81 students
The probability of students not on probation and is satisfied is 81/104