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juin [17]
3 years ago
10

Two cards are drawn from a pack of 52 cards one by one without replacement; that is, the first card is not replaced before the s

econd card is drawn. What is the probability of the second card being a king of spades if the first card is a king of club
Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

The probability is 1/51

Step-by-step explanation:

In a deck of cards, there are 52 cards

one king of spades and one king of club

If the first is a king of club, after drawing it, the number of cards that we will have left will be 52-1 = 51 cards

So the probability that the second is a king of spades is the number of king of spades/number of remaining cards

Mathematically that will be 1/51

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You discover that you are over serving a dish because customers keep taking a third of it home. If the dish requires 4 ingredien
devlian [24]

Answer:

4 parts

Step-by-step explanation:

If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3

To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:

12 * 1/3 = 12/3 = 4

You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.

5 0
4 years ago
Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the
Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

\text{Distance}=\text{Speed}\times\text{Time}

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

\Rightarrow6x+18+6x = 162

\Rightarrow12x=162-18

\Rightarrow x=\frac{144}{12}\rightarrow x=12

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be x+3=12+3=15 \text{ mph}

8 0
3 years ago
41. Which system is represented by the graph?
nekit [7.7K]

Answer:

the answer is the first choice please mark me brainliest

6 0
3 years ago
Can you please help with equations tables and graphs
Oxana [17]
I will be able to answer this question, if it wasn't sideways
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3 years ago
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A is the right answer.
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4 years ago
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