Answer:
Exact Form:
x= -3/2
Decimal Form:
x= -1.5
Mixed Number Form
x= -1 1/2
Step-by-step explanation:
Answer:
<u>The domain is the set of x-values:</u>
<u>The range is the set of y-values:</u>
This can be a function as each x- value has exactly one corresponding y- value.
4x-t-4 is the final answer.
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