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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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If y varies inversely as x, find the constant of variation if y=36 when x=9
Jobisdone [24]

Answer:

k = 324

Step-by-step explanation:

Y varies inversely as x

Let k be the constant of variation

Y = k/ x

Y= 36 and x= 9

Substitute the value of Y and x

36 = k/9

Make k the subject of the formula

k= 36*9

k =324

5 0
3 years ago
The amount of gas that a helicopter uses is directly proportional to the number of hours
AleksandrR [38]

Answer:

60 gallons

Step-by-step explanation:

We can create a ratio for this. If we consider 2 as the 1 in the ratio, we have a ratio of 1 : 2.5. Therefore, we just need to multiply 24 by 2.5, which equals 60.

7 0
2 years ago
Does (3/2)^2 equal 2
Viktor [21]

Answer:

no

Step-by-step explanation:

3/2*3/2= 9/4

9/4= 2 1/4

3 0
3 years ago
15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0
3 years ago
ANSWERS THIS PLZ PLZ PLZ!!!!!
Alexandra [31]

Answer:

Should be D, the one you selected

Step-by-step explanation:

Hope it helps

5 0
2 years ago
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