Answer:
Step-by-step explanation:
Given that two fair dice, one blue and one red, are tossed, and the up face on each die is recorded.
a) P(E) = P(the difference of the numbers is 3 or more}
Favourable events are (1,4) (1,5)(1,6) (2,5) (2,6) (3,6) (4,1) (5,1) (5,2) (6,1) (6,2)(6,3)
P(E) =
b)P(F)
Favourable events for F = (1,1) (2,2)...(6,6)
P(F) =
c) P(EF)
There is no common element between E and F
P(EF) =0
We have been given that fuel efficiency for a 2007 passenger car was 31.2 mi/gal and the same model of car, the fuel efficiency increased to 35.6 mi/gal in 2012. Also, the gas tank for this car holds 16 gallons of gas.
We need to write a function and graph a linear function that models the distance that each car can travel for a given amount of gas up to one tankful.
Let represent the functions as and
where
and
represent the distances traveled by car in years 2007 and 2012 and x represents the number of gallons. Therefore, we can express the required functions as:
Domain of both these functions are [0,16] and ranges are [0,499.2] and [0,569.6] respectively for years 2007 and 2012.
The difference function will be:
Domain of this function is [0,16] and range is [0,67.2].
The graphs are shown below.
