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notsponge [240]
3 years ago
7

simon is doing a card trick using a standard 52-card deck with four suits: hearts, diamonds, spades, and clubs. He shows his fri

end a card, replaces it, and then shows his friend another card. What is the probability that the first card is not a club and the second card is a diamond?
Mathematics
1 answer:
Ganezh [65]3 years ago
6 0
Probability that the first card is not a club is 1 minus probability that it is a club. i.e. 1 - 1/4 = 3/4
Probability that the second card is a diamond = 1/4
Probability that the first card is not a club AND the second card is a diamond is 3/4 x 1/4 = 3/16
You might be interested in
The perimeter of a square is 4/5 what is its area
34kurt

Answer:

1/25

Step-by-step explanation:

square has 4 sides, if you add them all up you get 4/5.

1/5+1/5+1/5+1/5=4/5

so each side is 1/5

Area=length * width

A=1/5*1/5=1/25

3 0
3 years ago
Grapes are 2.55 per pound and on two separate occasions Dana went to the store to
fomenos

Answer: $11.48

Step-by-step explanation:

First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.

8 0
3 years ago
The equation 10x + 5y = 150​
Verdich [7]

Answer:

x = 14.5      y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

      - 5y    -5y

10x = -5y + 150

divide both sides by 10

<u>10x</u> = <u>-5y + 150</u>

10            10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5  -150            -150 +5

5y = 5

now divide by 5

<u>5y</u> = <u>5</u>

5     5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

x = 14.5

4 0
3 years ago
"New Orleans is in Louisiana." Which of the following is the negation of this statement? A. New Orleans is not a city. B. Louisi
yaroslaw [1]
D. because new Orleans is located in Louisiana.
3 0
3 years ago
Read 2 more answers
Al and Beverly thought of the same number. Al doubled the number and added 15 to the result. He got 51.Beverly did the same oper
laiz [17]
Assume the secret number is x.

"Al doubled the number and added 15 to the result. He got 51."

means 2x+15=51 

solving for x:

2x+15=51 

2x=51-15

2x=36

x=18


"Beverly did the same operations with their number, but in the reversed order." means she first added 15 to the number, then she doubled the result, 

that is she performed the operation: 

First: x+15

then: 2(x+15)


since we found x=18, then we have 2(x+15)=2(18+15)=2*33=66


Answer: 66

6 0
3 years ago
Read 2 more answers
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