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mote1985 [20]
3 years ago
11

Three cards are drawn from a standard deck of 52 playing cards. Recall that there are 4 suits with 13 cards each. After each car

d is drawn, the card is replaced and the deck is shuffled. What is the probability that the first card is a club, the second card is a 3 and the third card is red??
Mathematics
1 answer:
fenix001 [56]3 years ago
7 0

Answer:

1/104

Step-by-step explanation:

Probability that the first card is a club = 1/4. (There are 13 club cards in the deck, and 13/52 = 1/4).

Probability that the second card is a 3 = 1/13. (There are four 3 cards in the deck, and 4/52 = 1/13).

Probability that the third card is red = 1/2. (There are 26 red cards in the deck, and 26/52 = 1/2).

Probability that the first card is a club, the second card is a 3, and the third card is red = 1/4 * 1/13 * 1/2

= 1/104

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3 years ago
What is an equation of the line that passes through the point (3, -8) and has slope -2?
BabaBlast [244]

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

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(2,-6)

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3 years ago
Sam has $440 in $20, $10, and $5 dollar bills. The number of twenties, tens and fives are consecutive integers in this order. Ho
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Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.

Step-by-step explanation:

Let the number of twenties be x

Let the number of tens be x+1

Let the number of fives be x+2

Amount from twenties will be given as

20\times x=20x

Amount from tens will be given as

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Amount from fives will be given as

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According to question,

20x+10x+10+5x+10=440\\\\35x+20=440\\\\35x=440-20\\\\35x=420\\\\x=\frac{420}{35}\\\\x=12

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Answer:

The scale factor is  

Is a reduction

Step-by-step explanation:

we know that

The scale factor is the ratio of the corresponding side of resulting triangle by the corresponding side of the first triangle

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x------> the corresponding side of resulting triangle

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so

In this problem we have

substitute

The scale factor is less than one

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