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Setler79
12 days ago
15

From a group of 8 people, 5 will each win $1,000. How many different winning groups are possible?

Mathematics
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From a bag containing 5 nickels, 8 dimes, and 7 quarters, 5 coins are drawn at random and all at once. What is the probability o
Svet_ta [12734]

Answer:

0.13

Detailed explanation:

In a bag containing 5 nickels, 8 dimes, and 7 quarters, we randomly select 5 coins at once.

This means we need to pick 2 nickels from the 5 available, 2 dimes from the 8, and 1 quarter from the 7 quarters.

In total, there are 5 + 8 + 7 = 20 coins.

Selecting 5 coins from the entire set of 20 coins.

2 nickels can be chosen from 5 in 5C2 ways.

5C2=\frac{5!}{2!(5-2)!} =\frac{5!}{2!(3!)!}=10

2 dimes can be taken from 8.

8C2=\frac{8!}{2!(8-2)!} =\frac{6!}{2!(6!)}=28

1 quarter from 7 quarters.

7C1=\frac{7!}{1!(7-1)!} =\frac{7!}{1!(6!)}=7

5 coins chosen from 20.

20C5=\frac{20!}{5!(15)!} =15504

The probability of obtaining 2 nickels, 2 dimes, and 1 quarter is given by:

\frac{10 \cdot 28 \cdot 7}{15504} =\frac{1960}{15504} =0.13

5 0
4 months ago
Suppose an ant is sitting on the perimeter of the unit circle at the point (1,0). if the ant travels a distance of 2π3 in the co
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A pineapple is 7 times as heavy as an orange. the pineapple also weighs 870 grams more than the orange. what is the total weight
zzz [12365]
Let's convert each statement into mathematical terms.

Pineapple = p

Orange = x

is indicates equality

 

Pineapple has a weight that is 7 times that of an orange:  p = 7x

Pineapple is 870 grams heavier than the orange. p = 870 + x

 

Insert  p = 7x  into the second equation:

7x = 870 + x

Subtract  x from both sides

6x = 870

Divide by 6

x = 145

 

The weight of the orange is 145 grams.

The weight of the pineapple is 7 times that of the orange = 7(145) = 1015 grams.

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2 months ago
Who ever gets it right first gets brainliest
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Answer: 942

Detailed explanation: this was quite challenging!

6 0
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A recent review of a compact disc distributor’s product line is summarized as follows: Selling Price ($) Number of Titles Midpoi
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