Answer:
Hi! The answer to your question is B.
Step-by-step explanation:
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Find the nth term in the sequence -6,-3,0,3,6
2 answers:
First, determine what type of sequence the set of numbers make up. Through simple logic, it is an arithmetic sequence, because one can see by inspection that there is a common difference of 3 (positive 3, just to be a bit more pedantic).
We then use the formula,
where
represents the 
term; a represents the starting term (so the first number in the set of numbers, which in this case is -6); n is the term number (1st, 2nd, 3rd term, etc.); d is the common difference, that is, when you subtract the next term to the previous term – what is that numerical value.
To elaborate a bit more, your 1st term is -6, 2nd is -3, 3rd is 0, etc.
Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.
So, here,
, which can be expanded to:
Therefore,
We then use the formula,
where
To elaborate a bit more, your 1st term is -6, 2nd is -3, 3rd is 0, etc.
Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.
So, here,
Therefore,
You might be interested in
To solve this proportion, cross multiply.
By cross multiplying, you will multiply 2.75 * (2/9) and 9 * x.
0.61 = 9x
Divide both sides by 9.
x = 0.067... which rounds to 0.068, so your answer is:
D) x 0.068
Answer:
So on this case the 80% confidence interval would be given by (31.999;35.801)
And the margin of error is given by:
And replacing we got:
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 for the sample
population mean (variable of interest)
s=7.2 represent the sample standard deviation
n=25 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 0.80 or 80%, 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(0.01,24)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 80% confidence interval would be given by (31.999;35.801)
And the margin of error is given by:
And replacing we got: