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saul85 [17]
3 years ago
14

Three consecutive integers have a sum of 45

Mathematics
2 answers:
monitta3 years ago
4 0

Three consecutive integers that have a sum of 45 are 14, 15 and 16. 14+15+16=45

saveliy_v [14]3 years ago
3 0

14 + 15 + 16

13 + 14 + 18

12 + 13 + 20

11 + 12 + 22

10 + 11 + 24

9 + 10 + 26

8 + 9 + 28

7 + 8 + 30

6 + 7 + 32

5 + 6 + 34

4 + 5 + 36

3 + 4 + 38

2 + 3 + 40

1 + 2 + 42

0 + 1 + 44

0 + 0 + 45

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Total number of ways of choosing 8 cards out of 52 = ^{52}C_8

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = ^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1  [since 1 suit has 13 cards]

The required probability = =\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}

=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757

Hence, the required probability is 0.003757 (approx).

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3 years ago
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OleMash [197]

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Step-by-step explanation:

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Complete the equation of variation where y varies inversely as x and y = 0.125
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Answer:

Mr Park has enough money to pay his rent.

Step-by-step explanation:

The amount of the monthly rent paid  = $1000

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Also, $1441.33  >  $1000

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