Noah has a toy that requires 4 batteries. Noah buys batteries with a chance of lasting more than 2/3 hours, and he wants to estimate the probability that at least one of the 4 batteries in his toy will go dead before 15 hours are up. Noah wants to use a spinner with equal-sized sections to represent each battery’s chance of lasting more than 15 hours. He will use red sections to represent a battery that dies before 15 hours are up and green sections to represent batteries that last more than 15 hours. How many of each section should Noah have in his spinner? Explain.

ilang points po yan hehe sorry

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.