There are 40 mg of bacteria in the sample. The next day there are 50 mg of bacteria, and the following day there are 62.5 mg of
1 answer:
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To solve this we are going to use the half life equation 
Where:
is the initial sample
is the time in years
is the half life of the substance
is the remainder quantity after years
From the problem we know that:
Lets replace those values in our equation to find:
We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.
Where:
From the problem we know that:
Lets replace those values in our equation to find
We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that
Samples of n:
This means that the standard deviation is:
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.