Nandini's phone battery dies as she is driving to her hometown. She knows that there are two 4 way junctions before reaching her hometown. So, she drives on until she reaches a four way junction and arbitrarily chooses one of the ways in front of her, and at the next four way junction, she again randomly chooses one of the ways in front of her. What is the probability that Nandini will reach her hometown without having to head back? Enter the answer up to 2 decimals accuracy.

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.

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation: