Answer:
The probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Step-by-step explanation:
Let the random variable <em>X</em> represent the amount of gas in Sarah's car.
It is provided that .
The amount of gas in a car is a continuous variable.
So, the random variable <em>X</em> follows a continuous uniform distribution.
Then the probability density function of <em>X</em> is:
For a continuous probability distribution the probability at an exact point is 0.
So, to compute the probability that the amount of gas in Sarah's car is exactly 7 gallons use continuity correction on both sides:
P (X = 7) = P (7 - 0.5 < X < 7 + 0.5)
= P (6.5 < X < 7.5)
Thus, the probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
add the 2 equations together
x+y =9
x-y =7
----------
2x = 16
divide by 2
x=8
x+y =9
substitute in x=8
8+y =9
subtract 8 from each side
y =1
(8,1)
2*7b =
use the distributive property
14b
Answer and Step-by-step explanation:
Solve for x.
Distribute the 2.
4x - 5 = 4x - 2 - 3
Combine like terms
4x - 5 = 4x - 5
Add 5, and subtract 4x.
0 = 0
There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.
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