A quadrilateral has vertices A(4, 5), B(2, 4), C(4, 3), and D(6, 4). Which statement about the quadrilateral is true?
2 answers:
By definition, a quadrilateral is a two-dimensional figure that is composed of four sides. There are different kinds of quadrilateral. So, it is best to plot the given points. The graph is shown in the picture. When you connect the dots, you form a diamond. There is no need to use the distance formula to see that their distances are equal. You can already see that visually. The quadrilateral that is composed of two sets of parallel sides, with all of them have equal measure of lengths, is a rhombus.
Therefore, the given quadrilateral is a rhombus,
Therefore, the given quadrilateral is a rhombus,
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The point estimate of the mean for the data set is 90 and the standard deviation is approximately 5.59 .
The value of the parameter in the sample is used to determine the point estimate of a population parameter.
a) In this issue, the mean is the parameter whose estimate we seek.
Sample numbers for this issue are 94, 85, 85, 94, and 92.
(Amount of units sold monthly).
The sample mean is calculated as follows: Since the sample mean is calculated as the sum of all observations in the sample divided by the total number of observations:
Mean = (94 + 85 + 85 + 94 + 92)/5 = 90.
b) The data set for the number of units sold are 94 80 85 94 92
Standard deviation is calculated using the formula:
here n= 5
x = 90
Substituting the values we get
Sₙ = 5.585..
Sₙ ≈ 5.59
Therefore the mean is a) 90 and the standard deviation is approximately 5.59 .
The standard deviation in statistics is a measure of variation or dispersion (which relates to the degree to which a distribution is stretched or compressed) between values in a set of data. It is typically represented by the symbol.
The tendency is that the lower the standard deviation, the closer the data points will be to the mean (or expected value). On the other side, a higher standard deviation indicates a wider range of values
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