Answer:
My answer to the question is 34.0
Answer: ALL ANSWERS BELOW
1.) 1:4 ratio
2.) 100
3.) 125
4.) perimeter multiplied by 4 for every 1 toothpick as side length. + Side length always smaller than perimeter.
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There are

total ways to draw any 6 numbers from the range 1 to 51, regardless of order.
Given 6 selected numbers that match those drawn by the lottery, there are

ways of rearranging them. So the probability of winning 1st prize is

Next, given 6 selected numbers of which 5 match those drawn by the lottery, there are

ways of rearranging those 5 matching numbers. There are 46 remaining numbers that didn't get drawn, so the probability of winning 2nd prize is

The "divisor" in synthetic division is most conveniently the value of the zero of the binomial term. Here, that is x=5. You also need to make sure you include all of the coefficients in the "dividend", putting zero where terms are missing.
The appropriate choice is
A.