4. suppose you plan to collect data on your classmates. identify three discrete random variables and three continuous random variables you might observe.

Discrete: IQ score, number of siblings, number of electronics gadgets they own.

Continuous: Weight, height, time spent in studying.

Step-by-step explanation:

The data collected consists of three discrete variables that are IQ score of a student, number of sibling that a student have and number of electronic gadget the student own such as cellphone, laptop etc.

The data collected consists of three continuous variables that are weight of students in kg,height of students in cm and amount of time spent in studying in minutes.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

expression #3 is not equivalent. the others are.