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Dmitriy789 [7]
3 years ago
7

In a state pick 4 lottery​ game, a bettor selects four numbers between 0 and 9 and any selected number can be used more than onc

e. Winning the top prize requires that the selected numbers match those and are drawn in the same order. Do the calculations for this lottery involve the combinations rule or either of the two permutations​ rules? Why or why​ not? If​ not, what rule does​ apply?
Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

See explanation below

Step-by-step explanation:

The calculations for this lottery <em>do not involve </em>the combinations rule because <em>the order of the numbers does matter</em>. For example, 1234 and 4321 are different although they have the same digits.

The calculations for this lottery <em>do involve</em> the permutations with replacement rule because any selected number can be used more than once.

By <em>the fundamental rule of counting</em>, there are 10*10*10*10 = 10,000 possible outcomes of the event with a probability 1/10,000 = 0.0001 each outcome.

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Kryger [21]

Answer:

2^{17}

Step-by-step explanation:

(2^{2 \times 5})^3/(2^5 \times 5^8)

(2^{10})^3/(2^{5+8})

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2^{30}/(2^{13})

2^{30-13}

=2^{17}

4 0
3 years ago
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Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the sh
Shkiper50 [21]

Write and solve a compound inequality to model the possible length of the dog run.

The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥ 200

And the possible length of the dog run is 80ft.

Minimum spending = $100

Maximum spending = $200

Cost per square feet = $2.50

let

x = possible number of square feet

The inequality:

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This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200

solve:

100 ≤ 2.50x ≥ 200

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the other part:

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x ≥ 200/2.50

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Therefore,

the possible length of the dog run is 80 feet

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-Hai There! :3


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-Remember to mark this answer as Brainliest! Glad I could help!




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