What is the sum of the 12th square number and the 9th square number
1 answer:
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Answer:
And the best option would be:
C. [17.42,20.78]
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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".
represent the sample mean
population mean (variable of interest)
s=1.5 represent the sample standard deviation
n=9 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.99 or 99%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that
Now we have everything in order to replace into formula (1):
And the best option would be:
C. [17.42,20.78]
Answer:
Required ordered pair is (0,0) for system of equation
Step-by-step explanation:
The given system of equation is
A).
B).
On simplifying the equation A
Take log on both side,
(12x) (log9) = (3y) (log9)
4x=y
To find the solution of the system of the equation :
Replacing value of y=4x in equation B,
We get,
x=0 and x=0.829
Since, 0.829 is not integer number
Only solution of equations is x=0
For the value of y
Replace value x in y=4x=0
Thus, Required ordered pair is (0,0)