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Bad White [126]
3 years ago
14

Solve for x: 2(3x - 9) = 18x x = -3/2 x = 3/2 x = 0 x = 6

Mathematics
2 answers:
Mila [183]3 years ago
5 0
Remember yo can do anything to an equation as long as you do it to both sides

so
remember distributive property
a(b+c)=ab+ac

so first distribute
2(3x)+2(-9)=18x
6x-18=18x
minus 6x both sides
-18=12x
divide both sides by 12
-18/12=x
-9/6=x
-3/2=x

easier way is to first divide both sides by 2


x=-3/2
lidiya [134]3 years ago
3 0
6x-18=18x

-18=12x

-1.5=x
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g What is the probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from
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Answer: 0.02257

Step-by-step explanation:

Given : Total cards in a deck = 52

Number of ways to select any 5 cards : ^{52}C_5

Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).

Of each kind , there are 4 cards.

Number of ways to select three cards in a five card hand of a single kind : ^{4}C_3\times^{48}C_2

Number of ways to select three cards in a five card hand of a exactly three of a kind : 13\times^{4}C_3\times^{48}C_2

Now , the required probability = \dfrac{13\times^{4}C_3\times^{48}C_2}{^{52}C_5}

=\dfrac{13\times4\times\dfrac{48!}{2!46!}}{\dfrac{52!}{5!47!}}\\\\\\=\dfrac{58656}{2598960}

=0.022569027611\approx0.02257

∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257

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Step-by-step explanation:

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