What is the area of this figure?
2 answers:
Answer: The area of the figure is 400 square inches
Step-by-step explanation: Please refer to the diagram attached.
The diagram in the question shows a parallelogram ABCD attached to a right angled triangle EBC.
In order to compute the total area of the entire figure, the area of both detachments would have to be calculated separately and then summed up.
To calculate the area of a parallelogram ABCD, the formula is
Area = b x h
where b = base and h = perpendicular height.
The base is 20 inches while the height is 16 inches.
Therefore,
Area = 20 x 16
Area = 320 in^2
Next we calculate the area of triangle EBC. Area of a triangle is given as
Area = 1/2 base x height
Where the base = 20 (line AD is equal to line BC = 20) and height = 8. Therefore,
Area = 1/2 (20) x 8
Area = 10 x 8
Area = 80 in^2
Having calculated the area of the two parts of the entire figure, the area of the entire figure is given as
Area of parallelogram ABCD + Area of triangle EBC
We now have 320 + 80 = 400
Hence, area of the figure = 400 square inches
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Answer:
The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).
Step-by-step explanation:
The data for the amount of money spent weekly on groceries is as follows:
S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}
<em>n</em> = 10
Compute the sample mean and sample standard deviation:
It is assumed that the data come from a normal distribution.
Since the population standard deviation is not known, use a <em>t</em> confidence interval.
The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:
*Use a <em>t</em>-table.
Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:
Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).