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devlian [24]
3 years ago
8

Two cards are drawn without replacement from a standard deck of cards. What is the probability that the second one is a black ca

rd given that the first one is a spade.
Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

The probability is 169/2652

Step-by-step explanation:

The number of cards in a deck of cards is 52

In each deck of cards, there are 13 black cards and 13 spade cards

The probability of selecting a spade card will be;

13/52 = 1/4

Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51

So the probability of the second card being a black card if the first is spade will be ;

13/52 * 13/51

= 169/2,652

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10 points! Solve the equation. If necessary, round your answer to the nearest tenth.
Julli [10]
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That means you have to do:

√196 = x
x = <span>±14. 

We can check this by doing:

14 </span>× 14 = 196
-14 × -14 = 196

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7 0
3 years ago
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Drag each expression to show whether it is equivalent to 54x plus 18, 18(3x minus 1), or (6 times 9x) plus (6 times 1)
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The first option is

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The second option is

6\cdot 9x + 6\cdot 1 = 54x + 6

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8 0
4 years ago
Which property does this example show? 2.61 + 92.7 = 92.7 + 2.61
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6 0
3 years ago
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Two teachers purchase supplies for their classrooms.
inna [77]

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0
3 years ago
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