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VashaNatasha [74]
2 years ago
10

Problem in image. Explain it too.

Mathematics
1 answer:
alexandr1967 [171]2 years ago
5 0

\sqrt{40}  = 6.32\\\\\\or\\5\sqrt{15} \\\\

this is because when 40 is broken down into two numbers (one divisible to get out of the square root, and one not) you get 25 + 15 under the square root. we know that the square root of 25 is 5, so we can put 5 outside the root and leave 15 inside.

-------------- try the next problem, and if you don't understand, please reply back.

answer is for a) 5\sqrt{15}

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The percentage of population has a resting heart rate is 15.7%.

Given that the mean of the data is 70 beats per minute and standard deviation is 4 beats per minute.

A probability distribution is a mathematical function that describes the probability of several possible values ​​of a variable.

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Standard deviation, σ=4

Given that the heart rate is resting between 74 and 82.

Now, we will use the standard normal formula

P(x₁<x<x₂)=P((x₁-μ)/σ<x<(x₂-μ)/σ)

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Now, we will find the values by using the z-table, we get

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P(74<x<82)=0.157

P(74<x<82)=15.7%

Hence, the percentage of the population has a resting rate between 74 and 82 with the mean data is 70 beats per minute and the standard deviation data is 4 beats per minute is 15.7%.

Learn more about standard normal from here brainly.com/question/1407349

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