There are 180 students in a school band attending an awards dinner. A random survey of 20 band students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown. 11 students selected Cajun pasta. 4 students selected chicken pasta. 5 students selected shrimp pasta.

See explanation

Step-by-step explanation:

Number of students in the school band = 180

Sample selected = 20

Fraction of students that selected Cajun pasta. = 11/20

Fraction of students that selected chicken pasta = 4/20

Fraction of students that selected shrimp pasta = 5/20

Cajun pasta to be prepared = 11/20 × 180 = 99

Chicken pasta to be prepared = 4/20 × 180 = 36

Shrimp pasta to be prepared = 5/20 × 180 = 45

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.

i'm sorry i don't know

step-by-step explanation: