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Anna [14]
3 years ago
12

What is the probability of rolling a 6 on a number cube and drawing a diamond from a deck of cards?

Mathematics
2 answers:
Otrada [13]3 years ago
8 0

Answer:

1/6 and 1/4

Step-by-step explanation:

six sides and only one side says six

there are only 4 suits in a deck so 1/4 of a chance

True [87]3 years ago
7 0

<u>Answer:</u>

<h2>P(6 and diamond card) = 1/24</h2>

<u>Explanation:</u>

P(6) = 1/6 (one 6 face in a die)

P(diamond card) = 1/4 (4 suits)

P(6 and diamond card) = 1/6 × 1/4

P(6 and diamond card) = 1/24

P(6 and diamond card)  ≈ 4.17%

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What is the value of the expression (2+4)3÷(26−4)?
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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

5 0
3 years ago
Solve the equation c^2=4
mixas84 [53]

Answer:

c = 2 or c = -2

Step-by-step explanation:

c^2=4\\\\\sqrt{c^2}=\sqrt{4}\\\\ \boxed{c=2; c=-2}

Hope this helps.

7 0
3 years ago
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