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3 years ago

Practice Problems

Mathematics

1 answer:

katen-ka-za [31]3 years ago

6 0

15 red marbles
12 green marbles
15+12 = 27 marbles in total

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median

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What is the quotient of 8,595 ÷ 24

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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 $\dfrac{228}{91885}$ .

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3 years ago

F(x) = x² -3x find (-8)

e-lub [12.9K]

Answer:

Step-by-step explanation:

plug -8 into the x so

f(-8)=(-8)^2-3(8)=

=64-24=

=40

therefore, f(-8)=40

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The _____ function is the most basic function in a family of functions.

grandymaker [24]

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Parent function

Step-by-step explanation:

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