A random sample of 27 items is drawn from a population whose standard deviation is unknown. The sample mean is x¯ = 940 and the
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Given:
In the given figure the vertices of triangle ABC are A(-2,2), B(4,2), C(-2,-2).
The vertices of triangle A'B'C' are A'(-4,4), B'(8,4), C'(-4,-4).
To find:
The center of dilation and the scale factor.
Solution:
In the given graph, draw the lines AA', BB' and CC'. The intersection point of these lines is the center of dilation.
From the below graph, it is clear that the lines AA', BB' and CC' intersect each other at (0,0).
Therefore, the center of dilation is (0,0).
If a figure is dilated by factor k and the center of dilation is origin, then
It is given that A'(-4,4). So,
On comparing both sides, we get
Therefore, the scale factor is 2.
The value of k to the nearest integer is 21
- Let the number of international tourist arrivals in Russia in 2011 be k
If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:
k = 24.7 - (13% of 24.7)
k = 24.7 - (0.135 * 24.7)
k = 24.7 - 3.3345
k = 21.3655
Hence the value of k to the nearest integer is 21
Learn more on decrement here: brainly.com/question/24304697
