The answer is "alternate exterior angles theorem."
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
Answer:
12.5
Step-by-step explanation:
0.5x25=12.5. FILLER
2x² - 5 + x is a trinomial with a constant term -5.
Hope this helps.
I believe you can do x + 2.7 = 16.
I took geometry last year and those arrow things are basically saying the line is the same if they have the same number of arrows. Using that logic, you can equal them out and find X.
Your answer is 16 - 2.7
(13.3)
