Claudia's father is 7 times as old as Claudia. 20 years from now, Claudia will be 1/2 as old as her father. How old is Claudia's
1 answer:
Lets label the variables...
x=Claudia's age now
y=Claudia's dad's age now
Lets write a system...
7x=y (7 of Claudia's age are equivalent 1 of her father's)
x+20=
(Claudia plus 20 years is equal to half of Claudia's father's age now)
Now solve the system using the elimination of substitution method.
Hope that helps :)
x=Claudia's age now
y=Claudia's dad's age now
Lets write a system...
7x=y (7 of Claudia's age are equivalent 1 of her father's)
x+20=
Now solve the system using the elimination of substitution method.
Hope that helps :)
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Answer:
(a): The 95% confidence interval is (46.4, 53.6)
(b): The 95% confidence interval is (47.9, 52.1)
(c): Larger sample gives a smaller margin of error.
Step-by-step explanation:
Given
-- sample size
-- sample mean
--- sample standard deviation
Solving (a): The confidence interval of the population mean
Calculate the standard error
The 95% confidence interval for the z value is:
Calculate margin of error (E)
The confidence bound is:
--- approximated
--- approximated
<em>So, the 95% confidence interval is (46.4, 53.6)</em>
Solving (b): The confidence interval of the population mean if mean = 90
First, calculate the standard error of the mean
The 95% confidence interval for the z value is:
Calculate margin of error (E)
The confidence bound is:
--- approximated
--- approximated
<em>So, the 95% confidence interval is (47.9, 52.1)</em>
Solving (c): Effect of larger sample size on margin of error
In (a), we have:
In (b), we have:
<em>Notice that the margin of error decreases when the sample size increases.</em>