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Answer:

Percentage of the senior team's players = 70%  

Step-by-step explanation:

Given : A high school football team has 60 players. 42 of the players are seniors.

We have to find the percentage of the team's players are seniors.

Since, 42 of the players are seniors out of  60 players.

Number of senior players = 42

total number of players = 60

[tex]\text{percentage of the senior team's players}=\frac{\text{Number of senior players}}{\text{total number of players}}\times 100[/tex]

Substitute, we have,

[tex]\text{percentage of the senior team's players}=\frac{42}{60}}\times 100[/tex]

On simplify we have,

Percentage of the senior team's players = 70%

Taking into account the definition of percentage, 70% of the team's players are seniors.

Definition of percentage

The percentage is a value that represents the proportionality between two established quantities. That is, the percentage tells what part of a total represents a quantity.

In other words, probability is the greater or lesser chance that a given event will occur. That is, the probability establishes a relationship between the number of favorable events and the total number of possible events:

[tex]Percentage=\frac{number of favorable events}{total number of possible events}x100[/tex]

The ratio is multiplied by 100 to express it as a percentage.

Percentage of seniors

In this case, you know:

  • number of favorable events= number of seniors's players= 42
  • the total number of possible events= 60

Replacing in the definition of percentage:

[tex]Percentage=\frac{42}{60}x100[/tex]

Solving:

Percentage= 70%

In summary, 70% of the team's players are seniors.

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