1. Check the tree diagram in the picture attached.
2. The blue segment represents "on time"
The red segment represents "not on time"
3. blue - blue - red represents the case 1st on time, 2nd on time, 3rd not on time.
the combined probability is 90/100*90/100*10/100=9/10*9/10*1/10=99/1000=0.099
4. Remark with a tree diagram we can tell anything asked about the probability of an experiment.
As we could "drag" these together, we could then do it the easy way.
56
+56
+56
-------
168
------------------------
Or we could also do the following:
56

3:
6

3= 18.
Carry the one.
5

3 = 15+1 (which was carried). = 16
(16+8) =
168
1 minute = 60 seconds
300 seconds / 60 seconds = 5 minutes
The value of the sine, cosine and tangent of the figure will be found as follows:
a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x= 7/25
b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25
Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24