A student is selected at random. What is the probability, as a decimal rounded to the nearest

thousandth, that the selected student is an eleventh grader given that the student is going on the field

trip?

The question is not complete, so i have attached it.

Probability ≈ 0.245

Step-by-step explanation:

The question says we should find the probability that the selected student going on the field trip is an eleventh grader.

Now, from the image attached, the number of eleventh grade students going on the field trip are 13.

Also, total number of students going for the field trip from all grades is;

Total no. = 12 + 9 + 13 + 19

Total no= 53

Now,

Probability = Expected outcome of event/Total outcome of event

Thus,

Probability = 13/53

Probability ≈ 0.245

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.