Express the number in scientific notation. 780,000,000
2 answers:
Scientific notation implies that all the zeros are taken away and replaced with a 10 raised to whatever appropriate power would be necessary to make the number in scientific notation equal to the original number.
In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.
7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.
The final number looks like this:
780,000,000 in scientific notation is <span>
Hope that helped =)</span>
In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.
7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.
The final number looks like this:
780,000,000 in scientific notation is <span>
Hope that helped =)</span>
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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.