The initial population is
P₀ = 94 million in 1993
The growth formula is
where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.
Because P(5) = 99 million (in 1999),
In the year 2005, t = 12 years, and
Answer: 106 million (nearest million)
A. No matter what M is, it will correspond to the squared version of 18m
Answer:
The probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is 0.9973.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let 
represent the sample mean, the distribution for the sample mean is given by:
On this case 
Solution to the problem
We are interested on this probability
If we apply the Z score formula to our probability we got this:
And we can find this probability on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
The probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is 0.9973.
Answer: he will be able to play 32.6 games at the arcade
Step-by-step explanation:
