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lions [1.4K]
3 years ago
7

Which student solves and explains the equation correctly? Will choose brainliest.

Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0

Answer:

Jerry  is correct

Step-by-step explanation:

8^{x} = 512

this equation is asking 8 to what power is 512

Emma said the solution is x=3. Her explanation is 8 x 3 which would equal 24. This is not the correct answer.

Jerry's solution  is x = 3. His explanation is 8 x 8 x 8 which would equal 512. This is the correct answer.

Mel's solution is x = 8. Her explanation is 8 x 3 which equals 24. This is not the correct answer.

Victoria's solution is x = 8. Her explanation is 8 x 8 x 8 which would equal 512. However, her explanation is correct, her solution is not. 8^{8} = 16777216. That is what her solution is saying.

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Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
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Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
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