In a test of the effectiveness of a device that is supposed to increase gasoline mileage in automobiles, 12 cars were run over a prescribed course both with and without the device. The mileages are given below. Conduct hypothesis test at ?=.05.
Car Without Device With Device
1 21 20.6
2 30 29.9
3 29.8 30.7
4 27.3 26.5
5 27.7 26.7
6 33.1 32.8
7 18.8 21.7
8 26.2 28.2
9 28 28.9
10 18.9 19.9
11 29.3 32.4
12 21 22

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

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.

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step-by-step explanation: