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So far this season the last athletes fastest time 53.18 seconds, and his average is 53.92. In this race the last athlete expects to run faster than his slowest time. Is it possible for the team to fail to meet their goal? Write an inequality for the problem.

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Final answer:

To determine if the team will fail to meet their goal, we compare the last athlete's slowest time to his expected time in the current race. With the given information, it is not possible for the team to fail their goal.

Step-by-step explanation:

To determine if the team will fail to meet their goal, we need to compare the last athlete's slowest time to his expected time in the current race. Let's assume the last athlete's slowest time is denoted by S and his expected time in the current race is denoted by E. According to the information given, the last athlete's fastest time is 53.18 seconds, and his average time is 53.92 seconds. Since the last athlete expects to run faster than his slowest time, we can write the inequality as:

E > S

Therefore, if the team fails to meet their goal, it means that the last athlete's expected time is not faster than his slowest time, which contradicts the given information. So, it is not possible for the team to fail to meet their goal.

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