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s344n2d4d5 [400]
3 years ago
13

A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen f

rom the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2
Mathematics
1 answer:
podryga [215]3 years ago
3 0

There are 52 cards in the deck.

Picking a spade would be 13/52 which reduces to 1/4

After the first card is picked there are 51 cards left, picking a club would be 13/51

Picking both would be 1/4 x 13/51 = 13/204

The answer is C.

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Write the standard equation of a circle that passes through (−2, 10) with center (−2, 6).
Liono4ka [1.6K]
Standard form of a circle" (x-h)²+(y-k)²=r², (h,k) being the center, r being the radius.
in this case, h=-2, k=6, (x+2)²+(y-6)²=r²
use the point (-2,10) to find r: (-2+2)²+(10-6)²=r², r=4
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3 years ago
A manufacturer produces cherry, peppermint, cinnamon, and orange-flavored gum. Each flavor is available with sugar or sugar-free
Semenov [28]

Answer: The total number of different types of labels will the manufacturers have to produce = 24.

Step-by-step explanation:

Given: Choices for flavours = 4

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By Fundamental counting principle,

Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )

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3 years ago
Which number sentence is not true?
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8 0
2 years ago
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the
Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0

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So , height of the dock is 5 ft .

Hence , this is the required solution .

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