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luda_lava [24]
3 years ago
7

Give the slope of a line parallel to the given.

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

1/2

Step-by-step explanation:

2x - 4y = 12

-4y = -2x + 12

-4y/-4 = -2x/-4 + 12/-4

y = 1/2x - 3

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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
3 years ago
Vicci designed a square tile in art class. Each corner of the square tile has a measure of 90 degrees. 30° Which equation could
miv72 [106K]
X=90 degrees you can get the answer by adding up all the angles
4 0
3 years ago
If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Jo
Gala2k [10]

Answer:

Step-by-step explanation:

If J can paint a room in 3 hours, in 1 hour she gets \frac{1}{3} of the job done.

If A can paint a room in 4 hours, in 1 hour she gets \frac{1}{4} of the job done. We need to find out how long it takes them if they paint together. The equation for this is:

\frac{1}{3}+\frac{1}{4}=\frac{1}{x} where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get

4x + 3x = 12 so

7x = 12 and

x = 1.7 hours to get the room painted together.

7 0
3 years ago
WILL MARK BRAINLIST!!What is the measure of one interior angle in a regular pentagon?
never [62]
The answer is 108°

A regular pentagon has all its five sides equal and all five angles are also equal. Hence, the measure of each interior angle of a regular pentagon is given by the below formula. Measure of each interior angle = [(n – 2) × 180°]/n = 540°/5 = 108°.
8 0
2 years ago
Read 2 more answers
1 tablespoon is equivalent to _____ ml.
svet-max [94.6K]

Answer:

14.7868 ml are equal to 1 tablespoon

Step-by-step explanation:

1 tablespoon is equivalent to __14.7868___ ml.

Hope This Helped

4 0
2 years ago
Read 2 more answers
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