The number of the families that need to be surveyed will be 2663.
<h3>What is the margin of error?</h3>
Your results will deviate from the actual population value by how many percentage points, as indicated by the margin of error.
We have the following info:
ME = 50 margins of error desired
= 1000 the standard deviation for this case
The margin of error is given by this formula:
(a) 
And on this case, we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b) 
The critical value for the 99% of confidence interval now can be founded using the normal distribution. The significance is
= 0.01. And for this case would be
= 2.58, replacing into formula (b) we got:

So the answer for this case would be n=2663 rounded up to the nearest integer.
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Answer:
The population of the country will be 510 million during the year of 2018.
Step-by-step explanation:
The exponential model for the population, in millions, t years after 2003 is.

Use the model to determine when the population of the country will be 510 million.
t years after 2003, in which t is found when P(t) = 510. So



Applying ln to both sides, so we can find t



15.35 years after 2003, so during the year of 2018.
The population of the country will be 510 million during the year of 2018.
She has totally 10+5+3=18 marbles, so the probability is 10/18=5/9. The complement is (9-5)/9=4/9.
Hope this helped!
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