At a carnival, the probability that you choose a winning rubber duck from 25 sucks is 0.24. a. how many are not winning ducks? b. describe the likelihood of not choosing a winning duck.

The game is formed such that a duck is either winning duck or a non winning duck .

there is no other result for any duck present in the game .

Also choosing a duck is a fair game it is independent of any prior situation .

here we would be using a basic probability formula , that is

Probability of a result = number of items in favour of that result divide by total number of items present in the game .

Let us start with assuming that total number of winning ducks are = x

The probability of winning a duck =

: number of winning ducks divide by total number of ducks

this gives us : 0.24 = x/ 25

0.24 times 25 = x

6= x

so there are 6 ducks are winning duck rest 25- 6 = 19 are non winning duck

the probability of not choosing a winning duck =

( total number of ducks which are non winning )/ total number of ducks

( 25- 6 ) divide by 25

19/25 = 0.76

Answer ( a)= 19

Answer (b) = 0.76

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.