An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that
come up. If x equals the outcome on the green die
and y the outcome on the red die, describe the sample
space S by listing the elements (x, y) and by using the rule method.
For the sample space:
e) list the element corresponding to the event C that a number less than 3 occurs on the die;
f)list the elements correspond to the event A';
g)list the elements corresponding to the event A'U B.

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

The number of nails of a given length is normally distributed with a mean length of 5.00 in, and a standard deviation of 0.03 in. find the number of nails in a bag of 120 that are less than 4.94 in. long.

Find the greatest common factor of -30x 4 yz 3 and 75x 4 z 2.