Answer:
a) 2048
b)164
c)54
d) 11
Step-by-step explanation:
a) A coin has two faces.
Outcome possible =2^11= 2048
b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways
c)2 heads outcome= 11!/2!8!= 39716800/725760=54
d) 7 heads= 11!/7!6! =39716800/3628800 = 11
-4/3x (or -1 1/3x if you use whole numbers instead of an improper fraction) -7 = 1
To know which number is between 0.5 and 8/9, let us convert all numbers in the same form, the decimal form. 8/9 is equivalent to 0.89.
Option A is 0.29. Option B is 0.14. Option C is 0.21 and option D is 0.29. From the given choices above, THERE IS NO CORRECT ANSWER. None of the choices given fits to be a number that is between 0.50 and 8/9. Hence, the given choices may be incorrect.
The first pipe pumps out

while the second pipe pumps out

So together, both pipes pump out

That is, with both pipes filling the tank, it should take 32 minutes total.
Answer:
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