A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375
The equivalent expression to the value given using the laws of indices is
Evaluating the options given based on the laws of indices :
Therefore, the only expression which would give a correct way of representing
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The percentage of that ratio is 16%
The simplest way to find any percentage is to divide the numerator by the denominator.
in this case that would be 8/15=0.16
16/100=16%