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Zielflug [23.3K]
2 years ago
5

Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1).

Mathematics
1 answer:
svetlana [45]2 years ago
3 0

Answer:

0.14479638

Step-by-step explanation:

Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,

Combination of drawing 1 ace of 4 total aces C(4,1)

Combination of drawing 1 non-ace of 48 total non aces C(48,1)

Combination of drawing 2 cards of total 52 cards C(52.2)

C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326

4*48/1326 = 0.14479638

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larisa [96]

Step-by-step explanation:

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3 0
3 years ago
What’s the volume of 4.3ft 5.2ft cone round to nearest hundredth
Vika [28.1K]

Answer:

Pick the best solution.

Step-by-step explanation:

Volume of a cone is V = ⅓πr²h

If cone diameter is 4.3

V = ⅓π(4.3/2)²(5.2) = 25.17148... ≈ 25.17 ft³

If cone radius is 4.3

V = ⅓π(4.3)²(5.2) = 100.685950... ≈ 100.69 ft³

If cone diameter is 5.2

V = ⅓π(5.2/2)²(4.3) = 30.439938... ≈ 30.44 ft³

If cone radius is 5.2

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5 0
3 years ago
A trapezoid has an area of 35 square inches. It has a base of 8 inches and 6
Liula [17]

the height of the trapezoid of 5, i think.

my work:

i used this formula: 2 x a + b / A

so, you plug in what you know.

2 x 8+6 / 35 = 5

5 0
3 years ago
Why is 4b-7-3b+9 equal to b+2
rodikova [14]
The first expression can be simplified by combining like terms.

First, the terms "4b" and "-3b" can be combined to form "b"
Then, the terms "-7" and "9" can be combined to form "2"

Finally, we simply put these two final terms together, to form "b+2"

Hence, 4b-7-3b+9 is equal to be + 2.

Hope this helps!
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3 years ago
a boat drops an anchor 17.5 feet to the bottom of a lake. If the anchor falls at a rate of 0.07 feet each second, how long will
evablogger [386]
It will take 250 seconds for it to reach the bottom. To find this I did 17.5 divided by .07.
8 0
3 years ago
Read 2 more answers
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