the spinner has three regions 5 0 and 20to play the game you spin one time and then you win the amount in the region that the spinner lands on. what is the expected valuse of the game

Step-by-step explanation:

Each region is equally likely.

5 * 1/3 = 5/3 = 1 2/3 = 1.67

0 * 1/3 =                          0

20*1/3 = 6 2/3 =          6.67

Total   =                       8.34

So if this really were a game you should be willing to put up 8.34 to play it.

You can create a simulation. Let the computer play 10000 times (which will take seconds). I'm going to try this for you. and see what happens.  

You throw 0          3309 times

You throw 5          3394 times

You throw 20        3290 times

The net result is that you will win 2.71 as you pay, which is what it should be.                                                        

the answer is (2x+8)²= 16

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.