Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
The margin of error is of:

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
Margin of error:



The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Answer:
Quarters: 2 = 50 cents. 50cents
Dimes: 2 = 20 cents. 70cents
Nickels: 8 = 40 cents. $1.10
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Hope this Helps!</h3>
:)
Answer:students are the independent because he will get a number of cards depending on how many students there are so its
s independent and c dependent
Step-by-step explanation:
Answer:
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46</h2>
Step-by-step explanation:
x - age of a son three years ago
3x - age of a father three years ago
x + 3 - age of the son now
3x + 3 - age of the father now
x + 3 + 5 - age of the son in five years time
3x + 3 + 5 - age of the father in five years time
in five years time, the father will be twice as old as his son, so:
3x + 3 + 5 = 2(x + 3 + 5)
3x + 8 = 2x + 16
3x - 2x = 16 - 8
x = 8
x + 3 + 4 - age of the son in four years time
8 + 3 + 4 = 15
3x + 3 + 4 - age of the father in four years time
3×8 + 3 + 4 = 31
the sum of their ages in four years time:
15 + 31 = 46