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Sliva [168]
4 years ago
14

Question 13

Mathematics
1 answer:
Inessa05 [86]4 years ago
3 0
D is the correct answer
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What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit?
Liono4ka [1.6K]

\displaystyle |\Omega|=\binom{52}{5}=\dfrac{52!}{5!47!}=\dfrac{48\cdot49\cdot50\cdot51\cdot52}{2\cdot3\cdot4\cdot5}=2598960\\ |A|=\binom{13}{5}\cdot4=\dfrac{13!}{5!8!}\cdot4=\dfrac{9\cdot10\cdot11\cdot12\cdot13}{2\cdot3\cdot4\cdot5}\cdot4=5148\\\\ P(A)=\dfrac{5148}{2598960}=\dfrac{33}{16660}\approx0.2\%

7 0
3 years ago
What is the area of this composite figure?
12345 [234]

Answer:

216

Step-by-step explanation:

the area is ((B + b) x h) / 2

which is ((22 + 14) x 12) / 2

4 0
3 years ago
Read 2 more answers
How many terms are in 12x - 3 = 18​
kaheart [24]

Answer: 1.75

Step-by-step explanation:

12x-3=18

+3 +3

12x=21

12 12

x=1.75

4 0
3 years ago
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How many solutions exist for the given equation?<br><br> 3(x – 2) = 22 – x
Orlov [11]

Answer:

One solution

Step-by-step explanation:

3(x – 2) = 22 – x

Distribute

3x - 6 = 22 -x

Add x to each side

3x-6+x = 22-x+x

4x -6 =22

Add 6 to each side

4x-6+6 = 22+6

4x = 28

Divide by 4

4x/4 = 28/4

x = 7

4 0
3 years ago
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Suppose an object moves along the y-axis so that its location is y = f(x) = x 2 + x at time x (y is in meters and x is in second
Lerok [7]

the answer should be 16

4 0
3 years ago
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