Answer:
parallel
Step-by-step explanation:
they have the same slope, but different y intercepts
I'm just gonna assume that 6/3 and 1/2 are fractions.
First you have to find common denominators for the fractions to be added.
The first common denominator divisible by both the denominators is 6.
So 2x3=6 and 1x3=3
and 3x2+6 and 6x2+12
so that would be 12/6 + 3/6
Then you would proceed to add both of the numerators together which are 12 and 3.
To get a total of 15/6. You can also simplify that into a mixed number 2 1/2.
Answer:
2 5/6
Step-by-step explanation:
WE CHANGE 3 1/2 INTO IMPROPER FRACTION WHICH IS 7/2
7/2-2/3=2 5/6
There are 6! = 720 ways of arranging the lamps.
If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.
Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.
Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.
Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So
P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4
