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Serggg [28]
3 years ago
6

My friend takes 10 cards at random from a 52-card deck, and places them in a box. Then he puts the other 42 cards in a second, i

dentical box. He hands me one of the two boxes and asks me to draw out the top card. What is the probability that the first card I draw will be the Ace of Spades?
Mathematics
2 answers:
IRINA_888 [86]3 years ago
5 0

Answer:


Step-by-step explanation:

The card you draw is just as likely to be the ace of spades as that can be selected from any other from  51 cards.So the chance of it being the ace of spades is 1/52

Wittaler [7]3 years ago
5 0

Answer:

P=\frac{1}{52}

Step-by-step explanation:

Notice that each box doesn't have any advantage at all, because he didn't place the ace of spades at a specific box, that's a random outcome. That means the general probability doesn't change, it's the usual.

It's like choosing a card form a 52-card deck. In other words, splitting the deck doesn't change your probabilities, it's the same scenario.

Now, we know that there's only one Ace of Spades and the total outcomes are 52. So, the probability is

P=\frac{1}{52}

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Alenkasestr [34]

Answer:

\alpha = 60°,\:\beta = 30°, \: 90°

Step-by-step explanation:

Arccos( \frac{ \sqrt{3} }{2} ) =  \beta  \\ Arccos(  \cos \: 30 \degree ) =  \beta  \\30 \degree =  \beta  \\  \therefore \:  \alpha  = 60 \degree \\ remaining \: angle = 90 \degree \\

3 0
3 years ago
In the smoky mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by P = 10.0 ln
Mars2501 [29]

Answer:

  A. About 4,900 ft

Step-by-step explanation:

We want h such that ...

  5 = 10·ln(h) -80

  8.5 = ln(h) . . . . . . . add 80, divide by 10

  e^8.5 = h ≈ 4914.8 . . . . take the antilog

  h ≈ 4900 . . . . feet

7 0
3 years ago
Triangle ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the s
Allisa [31]

For line B to AC:  y - 6 = (1/3)(x - 4);  y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14

For line A to BC:  y - 6 = (-1)(x - 0);  y - 6 = -x, so y + x = 6

Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:

(3y - x = 14) + (y + x = 6) =>  4y = 20, y = +5;  Substitute this into y + x = 6:  5 + x = 6, x = +1

<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>

5 0
3 years ago
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olga_2 [115]

Answer:

A

Step-by-step explanation:

Because they want you to see the number who is repeating like 80 in the later A is 4 times repeated. I hope it help

3 0
2 years ago
The sum of four consecutive even integer numbers is 84. find the four numbers.
vodomira [7]

84/4=21

 now take the 2 even numbers below 21 and the 2 even numbers above 21

18 +20 + 22 +24 = 84

 the numbers are 18, 20, 22 & 24

3 0
2 years ago
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