In which quadrant would you find the graph of (-5, -6)?
1 answer:
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Pre Image having vertices : △ABC with vertices A(−5, −4), B(−7, 3), C(3, −2)
Image having vertices : △A′B′C′ with vertices A′(−3.75, −3), B′(−5.25, 2.25), C′(2.25, −1.5).
As, Size of Preimage > Size of image
So, 0<Dilation Factor <1
When a triangle is dilated , the preimage and image are similar to each other .
Scale factor can be get through by finding the ratio of any of corresponding sides of triangle.
So, Scale Factor of Dilation =
Answer:
Step-by-step explanation:
For this case we can create the following table
Interval Frequency (f) Midpoint(xi) xi *f xi^2* f
0-499 9 249.5 2245.5 560252.3
500-999 13 749.5 9743.5 7302753
1000-1499 33 1249.5 41233.5 51521258.25
1500-1999 115 1749.5 201193.5 361986278.8
2000-2499 125 2249.5 281187.5 632531281.3
2500-2999 81 2749.5 222709.5 612339770.3
3000-3499 47 3249.5 152726.5 496284761.8
3500-3999 45 3749.5 168727.5 632643761.3
4000-4499 22 4249.5 93489 397281505.5
4500-4999 10 4749.5 47495 225577502.5
Total 500 1220750 3408029125
For this case we can calculate the sample mean with this formula:
And for the sample variance we can use the following formula:
And if we replace we got:
And the deviation is just the square root of the sample variance and for this case is: