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Sliva [168]
3 years ago
9

At a dog competition, a dog is awarded 10 points if it runs through 4 pipes, makes 10 jumps, and walks on 2 beams. If Roofy gets

9 points after missing a pipe and Ralph gets 7 points after missing a pipe and a beam, how many points does Butch get if he misses 4 jumps but goes through the rest of the exercises perfectly?
Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

Butch should be awarded with 9,2 points

Step-by-step explanation:

Roofy gets 9 points out of 10 missing only a pipe, that means that each pipe is awarded with 1 point

Ralph gets 7 points out of 10 missing one pipe ( 1 point ) and 2 points missing a beam

So points are awarded as follows

1 point by pipe              then 4 points   for    4 pipes

2 points by beam         then  4 points  for     2 beams

We just have 2 points to award 10 jumps then each jump is awarded by 0,2 points

Finally as Butch missed 4 jumps, Butch should be awarded with 9,2 points

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Answer:

<em>Choose the first alternative</em>

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Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

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The probability is then

\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}

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3 years ago
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