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(5 - x)/2 = 2x - 7, 5 - x = 2(2x - 7), 5 - x = 4x - 14, 5 + 14 = 4x + x, 19 = 5x, 19/5 = x

x=0.777...10x=7.77...9x=10x-x=7
9x=7so x=7/9so x=0.777...=7/9

This problem can be solved by using algebra and rearranging as follows:

Let x = 0.545454...
Then 100x = 54.545454...

If we then subtract x from 100x we g...

v² =u²+2asv²-u²=2asa=(v²-u²)/2s as required

Step 1: Calculate probability of getting tails by subtracting 1-0.8 = 0.2.Step 2: Calculate probability of getting heads then tails by multiplying 0.80.2 = 0.16.Step 3: Calculate probability of gettin...