The answer is 414,104
Just simply right each number out and then add them together.
Just simply right each number out and then add them together.
1) The figure at the top is a parallelogram; the area is A = bh; where b is the base and h is the height; use properties of spec
ial right triangles to find h, and the area of the parallelogram
a) Read the problem once and state what is the problem about?
a) Read the problem once and state what is the problem about?
1 answer:
Answer:
Step-by-step explanation:
The area of a parallelogram is A=bh.
From the diagram, the base is b=5m
We now use the properties of 30°-60°-90° right angle to find h.
The sides of this triangle is given by x,½x,½x√3
Where x is 4
Therefore we have 4,2, 2√3
So we have h=2√3m
The area now is
a)The problem is about finding area of a plane figure
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Answer:
(2)
(3)
The mean calculated for this case is
The sample deviation calculated
So on this case the 99% confidence interval would be given by (3.896;21.704)
Step-by-step explanation:
Data: 10,9,20,13,12
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 represent the sample standard deviation
n 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 mean and the sample deviation we can use the following formulas:
(2)
(3)
The mean calculated for this case is
The sample deviation calculated
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(0.005,4)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval would be given by (3.896;21.704)