The number of potholes inThe number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 61 and a standard deviation of 9. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 34 and 70?
any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 61 and a standard deviation of 9. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 34 and 70?
· Assume that you have 100.0 g sample of the compound · Calculate the amount of each element in the sample · Convert the mass composition of each element to a composition in moles by dividing by the appropriate molar mass
You take your percentage and divide it by 100 then times it by your whole number or what you are trying to find the percent of
a number increase from 500 to 625 find the percentage increase
To find the percentage, you multiply by 100, so .2 is 20%.
percentage = 83.33% % rate: = 800/960 * 100% = 0.83333 * 100% = 83.33%
50%
Percent composition can be used to calculate the percentage of an element/compound in a mixture. From the percent composition, you can also find the empirical formula. And from the empirical formula you can find the actual molecular weight.
An empirical rule indicates a probability distribution function for a variable which is based on repeated trials.
Yes, except that if you know that the distribution is uniform there is little point in using the empirical rule.
To determine the empirical formula from percentage composition, first convert the percentages to grams. Then, divide the grams of each element by its molar mass to find the moles. Next, divide the moles of each element by the smallest number of moles to get the simplest whole number ratio. This ratio represents the empirical formula.
The proportion is approx 95%.
No.The empirical rule is a good estimate of the spread of the data given the mean and standard deviation of a data set that follows the normal distribution.If you you have a data set with 10 values, perhaps all 10 the same, you clearly cannot use the empirical rule.
IQ scores for adult students age 25-45 have a bell-shaped distribution with a mean of 100 and a standard deviation of 15.sing the Empirical Rule, what percentage of adult students age 25-45 have IQ scores between 70 and 130?
To determine the empirical formula using percentage composition data, first convert the percentages to grams. Then, divide the grams of each element by its molar mass to find the moles of each element. Finally, divide the moles of each element by the smallest number of moles to get the simplest whole number ratio, which represents the empirical formula.
The empirical rule can only be used for a normal distribution, so I will assume you are referring to a normal distribution. Chebyshev's theorem can be used for any distribution. The empirical rule is more accurate than Chebyshev's theorem for a normal distribution. For 2 standard deviations (sd) from the mean, the empirical rule says 95% of the data are within that, and Chebyshev's theorem says 1 - 1/2^2 = 1 - 1/4 = 3/4 or 75% of the data are within that. From the standard normal distribution chart, the answer for 2 sd from the mean is 95.44% So, as you can see the empirical rule is more accurate.
When using Chebyshev's Theorem the minimum percentage of sample observations that will fall within two standard deviations of the mean will be __________ the percentage within two standard deviations if a normal distribution is assumed Empirical Rule smaller than greater than the same as
The empirical formula of the iron oxide compound is Fe₂O₃. This is determined by dividing the percentage of each element by its molar mass to find the ratio of atoms in the compound.