Okay, all of these pairs add up to 1 or 100%, except for one pair. I'll convert them all to decimals, so all must add up to 1.
3/8 = 0.375
0.625 + 0.375 = 1
62% = 0.62
0.38 + 0.62 = 1
7/8 = 0.875
0.875 + 0.125 = 1
70% = 0.70
1/3 <span>≈</span> 0.33
0.70 + 0.33 = 1.03
So the last pair of probabilities(70%, 1/3) does not belong with the other three because it does not add up to 1 like the others.
The greatest common factor is 4r so
4r(d-4)
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:
The home printer is faster.
Step-by-step explanation:
25 photos in 12.5 minutes
12.5 is half of 25 and therefore this is a two to one ratio.
So 2 photos print in 1 minute with the office printer.
And 4 photos in 2 minutes(this is relevant later)
The home printer prints 15 photos in 6 minutes. Since 15 is not divisible by 6 without a remainder divide both by 3.
So 5 photos in 2 minutes. This is faster than the office printer.
To find how many photos it would print in 12 more minutes, simply multiply 15 by two, since the minutes(6) was multiplied by 2 to get 12. This leaves you with an answer of 30 photos in 12 minutes
