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.
Answer: if you simplify the equation, your answer should be 16
Step-by-step explanation: Simplify 2+22+22+2 to 444.
8÷2×48\div 2\times 48÷2×4
2
Simplify 8÷28\div 28÷2 to 444.
4×44\times 44×4
3
Simplify.
16
Answer:
Sales of 35 leather wallets will give profit of $192.5
Step-by-step explanation:
If sales of 20 leather wallet gives $110
Sales of 35 leather wallet gives x
Cross multiply
20x = 110 x 35
20x = 3850
Divide both sides by 20
x = 3850/20
x = $192.5
Answer:
a) 0.88
b) 0.35
c) 0.0144
d) 0.2084
e) 0.7916
Step-by-step explanation:
a) The probability of a peanut being brown is 12/100 = 0.12. Hence the probability of it not being brown is 1-0.12 = 0.88
b) 12% of peanuts are brown, 23% are blue. So 35% are either blue or brown. The probability of a peanut being blue or brown is, therefore 35/100 = 0.35.
c) 12% of peanuts are red, so the probability of a peanut being red is 12/100 = 0.12. In order to calculate the probability of 2 peanuts being both red, we can assume that the proportion doesnt change dramatically after removing one peanut (because the number of peanuts is absurdly high. We can assume that we are replenishing the peanuts). To calculate the probability of 2 peanuts being both red, we need to power 0.12 by 2, hence the probability is 0.12² = 0.0144.
d) Again, we will assume that the probability doesnt change, because we replenish. The probability of a peanut being blue is 0.23. The probability of it not being blue is 0.77, so the probability of 6 peanuts not being blue is obtained from powering 0.77 by 6, hence it is 0.77⁶ = 0.2084
e) The event 'at least one peanut is blue' is te complementary event of 'none peanuts are blue', so the probability of this event is 1- 0.2084 = 0.7916
Answer:
<em>-4/5,-1/2,-0.2,0.25</em>
Step-by-step explanation:
To order these, it would be best to convert them into decimals.
-4/5 is equal to -0.8
-1/2 is equal to -0.5
-0.8 is the least, because the further left on a number line, the less the number is.
-0.5 is next and then -0.2
Finally, 0.2 is the greatest
<em>-4/5,-1/2,-0.2,0.25</em>
<u>Hope this helps :-)</u>
