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blondinia [14]
3 years ago
12

Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and

a standard deviation of 16 seconds. How fast does a man have to run to be in the top 5% of runners (quickest runner)?
Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer: The running time should at least 119.32 seconds to be in the top 5% of runners.

Step-by-step explanation:

Let X= random variable that represents the running time of men between 18 and 30 years of age.

As per given, X is normally distrusted with mean \mu=93\text{ seconds} and standard deviation \sigma=16\text{ seconds}.

To find: x in top 5% i.e. we need to find x such that P(X<x)=95% or 0.95.

i.e. P(\dfrac{X-\mu}{\sigma}

P(Z

Since, z-value for 0.95 p-value ( one-tailed) =1.645

So,

Hence, the running time should at least 119.32 seconds to be in the top 5% of runners.

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Answer:

3. 30 degrees

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Step-by-step explanation:

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An angle measures 48.4° less than the measure of its complementary angle. What is the measure of each angle?
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Answer:

The angles are 69.2 degrees and 20.8 degrees

Step-by-step explanation:

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