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Kryger [21]
3 years ago
12

What is the algebraic expression for "a number q tripled"?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

tripled = 3 times q

A number q tripled

3\cdot q=3q

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Choose 5 cards from a full deck of 52 cards with 13values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 kinds(spade, diamond, h
Delvig [45]

Answer:

a) 182 possible ways.

b) 5148 possible ways.

c) 1378 possible ways.

d) 2899 possible ways.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question, we have that:

There are 52 total cards, of which:

13 are spades.

13 are diamonds.

13 are hearts.

13 are clubs.

(a)Two-pairs: Two pairs plus another card of a different value, for example:

2 pairs of 2 from sets os 13.

1 other card, from a set of 26(whichever two cards were not chosen above). So

T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182

So 182 possible ways.

(b)Flush: five cards of the same suit but different values, for example:

4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So

T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148

So 5148 possible ways.

(c)Full house: A three of a kind and a pair, for example:

4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).

3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So

T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378

So 1378 possible ways.

(d)Four of a kind: Four cards of the same value, for example:

4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).

1 from the remaining 39(do not involve the kind chosen above). So

T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899

So 2899 possible ways.

4 0
3 years ago
Anyone know this, if you do plz help me. If the octagon is cm wide what is the area?
DENIUS [597]

Answer:

92

Step-by-step explanation:

Corner triangle: 1/2 (2 x 2) = 2

4 triangles = 4 x 2 = 8

Octagon + 4 triangles forms a square: 10 x 10 = 100

Octagon: 100 - 8 = 92

3 0
3 years ago
Betty is stacking boxes at a factory. Each box is
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Answer:

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Step-by-step explanation:

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The number of times 13.25 inches will fit in this space is ...

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Betty can fit 13 whole boxes in the space.

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3 years ago
C=
malfutka [58]

Answer:

flamecakes

Step-by-step explanation:

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3 years ago
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tia_tia [17]
Consider, pls, the suggested solution.

Answer:
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2 years ago
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