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You should already be aware that the definite integral of is equivalent to the signed area under the curve of
corresponds the area of the triangle on the left, and
is the area of the trapezoid in the middle. You should know how to compute the area of these shapes.
We end up with
since the triangle has height 2 and base 1, and the trapezoid has height 2 with two base lengths 1 and 3.
Edit: The area under the curve is highlighted red in the attachment below. It's the area between the curve and the horizontal axis, but it's also signed, meaning the area <em>below</em> the axis is negative, and the area <em>above</em> the axis is positive.
Answer: h = 49.5 cm
Step-by-step explanation:
A = bh + ½(B - b)h
A = h(b + ½(B - b))
A = h(b + ½B - ½b)
A = h½(b + B)
h = 2A / (b + B)
h = 2(5544) / (119 + 105)
h = 49.5 cm
<h2>
Answer:</h2>
The description that match the type of measure is:
Measure of center-- She found the middle value after arranging all the values from least to greatest.
Measure of variation of this data -- She found the mean and then found the average deviation of the weights from the mean.
<h2>
Step-by-step explanation:</h2>
As we know that the median of the data is the central tendency of the data and exist in the middle of the data.
Hence, the measure for the center of data is: Median.
and it is calculated by arranging the data in ascending or descending order and taking the middle value.
Also, we know that MAD of data or mean absolute deviation is used to tell the variation in a data set.
and the steps to calculate it is:
- Find the absolute deviation of data points from the mean.
- Calculate the mean of these absolute deviation.