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Ludmilka [50]
3 years ago
6

Twenty-one fish are swimming in an aquarium. Eleven are removed, leaving 10 fish. Which number is the additive inverse of the nu

mber of fish left? A) −10 B) −11 C) −21 D) 10
Mathematics
2 answers:
agasfer [191]3 years ago
7 0

The additive inverse: The usage of addition with a negative number.

The original equation is 21 - 11 = 10

To use the additive inverse, change it so that there is an addition sign.

21 + (-11) = 10

B) -11 is your answer

hope this helps

I am Lyosha [343]3 years ago
6 0

The correct answer is B. -11

11 fish were taken out which is why there is a negative sign

Hope this helps

-AaronWiseIsBae

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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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Step-by-step explanation:

A store ships cans by weight. A small box can hold 3 to 5 pounds. A medium box can hold 5 to 8 pounds. A large box can hold 8 to 10 pounds. The weights of the cans are given below.

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