Was the average (arithmetic mean) of the temperature at noon in degrees celsius in town a during the first 5 days of last month at least 28 degrees celsius?
(1) the sum of the temperatures at noon in town a during the first 4 days was 116 degrees celsius.
(2) the average of the temperatures at noon in town a during the second, third, fourth, and fifth days was 30 degrees celsius

1. Yes

2. No

Step-by-step explanation:

You can have a case such as 26,30,30,30,30 and another case :  of 4,40,40,32,8 satisfying the 2 statements at the same time but in the 2nd case, the average that is less than 28.

From the given statements combined together, to get e-a=4. So once you get this information, you can have a big range of values that may or may not have average >28.

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.