Four friend started a dog walking business in the first month they made $140 and split the money equally among themselves they e
1 answer:
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The distance of Erika from kite directly is 35.71 yards
Step-by-step explanation:
Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base
So,
As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.
Rounding off to nearest hundredth
=> 35.71 yards
Hence,
The distance of Erika from kite directly is 35.71 yards
Keywords: Triangle, Pythagoras
Learn more about triangle at:
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Answer:
a) Atleast 75%
b) Atleast 88.9%
c) 95%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.7
Standard Deviation, σ = 1.6
Chebyshev's Theorem:
- Atleast
percent of data lies within k standard deviation of mean.
Empirical Rule:
- Almost all the data lies within 3 standard deviation for a normal data.
- Around 68% of data lies within 1 standard deviation of mean.
- Around 95% of data lies within 2 standard deviation of mean.
- Around 99.7% of data lies within 3 standard deviations o mean.
a) minimum percentage of individuals who sleep between 3.5 and 9.9 hours
We have to find the percent of data lying within 2 standard deviation of mean.
Putting k = 2
Atleast 75% of of individuals who sleep between 3.5 and 9.9 hours.
b) minimum percentage of individuals who sleep between 2.7 and 10.7 hours
We have to find the percent of data lying within 3 standard deviation of mean.
Putting k = 3
Atleast 88.9% of of individuals who sleep between 2.7 and 10.7 hours.
c) percentage of individuals who sleep between 3.5 and 9.9 hours per day.
Thus, we have to find the percentage of data lying within 2 standard deviation.
By empirical rule, around 95% of data lies within 2 standard deviation.
Thus, 95% of of individuals who sleep between 3.5 and 9.9 hours.
This is higher than the percentage obtained from Chebyshev's rule.