You flip a coin and roll a number cube. what is the probability that you
flip tails and roll a number less than 5?

the probability that u flip tails is 1/2 and the probability that u role a five is 4/6

Step-by-step explanation:

there are 2 sides and the chance of u rolling one is is 1/2 because there only 2 sides.  there are 6 sides of a dice and the chance of u rolling less then 5 is 4/6 because there are four numbers that are less then five.

d

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.