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Afina-wow [57]
4 years ago
14

The sum of 4 consecutive even integers is 36, what is the 3rd largest integer in the set?

Mathematics
1 answer:
Dmitry [639]4 years ago
4 0
Smallest #= x
2nd smallest #= x+2
3rd smallest #= x+4
largest #= x+6
x+x+2+x+4+x+6=36
4x+12=36
4x=24
x=6
3rd largest integer= x+2
6+2=8
The 3rd largest consecutive even integer is...
8
Hope this helps!
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Answer: (a) \frac{2}{9}       (b) \frac{6}{41}

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(a) P( Bill hitting the target) = 0.7        P( Bill not hitting the target) = 0.3

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Now the chances that exactly one shot hit the target is = 0.7 x 0.6 + 0.4 x 0.3

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Chances that George hit the target is = 0.4 x 0.3 = 0.12

So given that exactly one shot hit the target, probability that it was George's shot = \frac{0.12}{0.54} = \frac{2}{9} .

(b) The numerator in the second part would be the same as of (a) part which is 0.12.

The change in the denominator will be that now we know that the target is hit so now in denominator we include the chance of both hitting the target at same time that is 0.4 x 0.7 and the rest of the equation is same as above i.e.

Given that the target is hit,probability that George hit it =                                                 \frac{0.4\times 0.3}{0.7\times 0.6 +0.4\times 0.3+0.4\times 0.7}  = = \frac{6}{41}                                                                        

                                                                                           

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