SAT College

In a study of exercise, a large group of male runners walk on a treadmill for six minutes. Their heart rates in beats per minute at the end vary from runner to runner according to the (104,12.5) distribution. The heart rates for male nonrunners after the same exercise have the (130,17) distribution.
(a) What percent of the runners have heart rates above 140?

Answers

Answer 1

Percentage for the runners with heart rate of above 140 is 50.199% probability.

How to calculate heart rate probability?

To calculate percentage of runners heart rate;

Mean, μ = 104

Standard deviation, σ = 12.5

Probability = P(X > 140)

P(X > 140) = [tex]1 - P (\frac{X - μ}{σ} \leq \frac{140 - μ}{σ})[/tex]

P(X > 140) = [tex]1 - P (Z \leq \frac{140 - 104}{12.5})[/tex]

P(X > 140) = [tex]1 - P (Z \leq \ 2.88)[/tex]

For a Z score of 2.88, the cumulative from mean probability and percentile are:

The normal distribution for 2.88 = 0.49801

P(X > 140) = 1 - 0.49801

P(X > 140) = 0.50199

P(X > 140) = 0.50199 x 100

The percentage for the heart rate = 50.199%

The probability of of runners heart rate above 140 is a 50.199% chance.

Learn more on heart rate percent here: https://brainly.com/question/19153235

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Related Questions

Write an argumantive essay for or against viewing sports figures and celebrities as positive role models. please help a ASAP I need to write a 150 word essay

Answers

Answer:

Sports figures and celebrities have long been viewed as positive role models for many people. On the one hand, they have the power to inspire and motivate others to achieve their goals, as well as provide a sense of belonging to those who look up to them. For example, athletes can demonstrate the importance of hard work, dedication, and discipline needed to succeed in any field. Furthermore, celebrities can show that one can become successful despite their background or circumstances. On the other hand, there are some drawbacks to viewing sports figures and celebrities as role models. For example, they often live extravagant lifestyles and may not be the best examples of how to handle money responsibly. Additionally, their behavior may not be the best representation of the values that should be instilled in young people. Ultimately, while sports figures and celebrities can be inspiring, it is important to remember that they should not be viewed as role models in all aspects of life.

Explanation:

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