In the circle shown below, ∠BAC is a central angle, and r is the length of AB.
2 answers:
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Dilation involves enlarging or reducing the size of a shape.
The scale factor of dilation is 1/6
From the complete question, the side lengths of corresponding sides of both triangles are:
This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.
So, the scale factor of dilation from the larger triangle to the smaller triangle is:
This gives
Remove the common units
Reduce fraction
Hence, the scale factor of dilation is 1/6
Read more about dilation at:
Answer:
0.424 is the probability that a sample taken from the site will have a water content above 16% or below 12%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 14%
Standard Deviation, σ = 2.5%
We are given that the distribution of water content of soil is a bell shaped distribution that is a normal distribution.
Formula:
P(water content above 16% or below 12%)
= 1 - P(water content between 12% and 16%)
0.424 is the probability that a sample taken from the site will have a water content above 16% or below 12%.