Step-by-step answer:
Given an enlargement from preimage (ABC) to image (A'B'C').
Need to find scale factor.
Solution:
Scale factor = linear size of image / linear size of preimage.
From the accompanying diagram, we see that
L(preimage) = AC = 4 units
L(image) = A'C' = 12 units
Therefore
Scale factor = L(image) / L(preimage) = 12 / 4 = 3
Answer:
As a fraction, the answer is exactly 86/969
In decimal form, the answer is approximately 0.08875
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Work Shown:
The assumption is that no replacements are made for each selection.
5 red, 6 blue, 8 green
5+6+8 = 19 total
A = P(3 red) = (5/19)*(4/18)*(3/17) = 10/969
B = P(3 blue) = (6/19)*(5/18)*(4/17) = 20/969
C = P(3 green) = (8/19)*(7/18)*(6/17) = 56/969
D = P(3 all same color)
D = A+B+C
D = 10/969 + 20/969 + 56/969
D = (10+20+56)/969
D = 86/969
D = 0.08875
Answer:
about 40 kilometers
Step-by-step explanation:
