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2 years ago

Question 1 (1 point)

Mathematics

1 answer:

nasty-shy [4]2 years ago

8 0

Answer:

0 because both equations on either side will cancel out

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A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

Andrew [12]

Answer: $\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$ or $\dfrac{228}{91885}$ .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = $^{52}C_9$

Now , the combination of 9 cards such that exactly 6 of them are face cards = $^{12}C_{6}\times^{40}C_3$

Now , the probability that the hand contains exactly 6 face cards will be :-

$\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$

$=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}$

Hence, the probability that the hand contains exactly 6 face cards. is $\dfrac{228}{91885}$ .

6 0

2 years ago

What is the equation of the blue line?

AveGali [126]

Answer:

Y= 4x-3

Step-by-step explanation:

The y-intercept is -3,

the slope is 4:

rise over run= 4/1 or 4

so 4x-3

I hope this helps!

6 0

2 years ago

HELP ON TIMER!!!

Law Incorporation [45]

I’d say the second one, the fourth one and the fifth one.

Hope it works :)

4 0

2 years ago

Which statement is best represented by the inequality t less-than negative 15?

Tems11 [23]

Answer:

The first one

Step-by-step explanation:

Today’s temperature was less than Negative 15 degrees Fahrenheit.

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2 years ago

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What is the absolute value of |6|

motikmotik

Answer:

Step-by-step explanation:

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2 years ago