Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
<u>The center of dilation</u>
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
<u>The scale factor of dilation</u>
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:
So, the scale factor (k) from large to small is:
Read more about dilation at:
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Answer:
Step-by-step explanation:
Answer:
There is evidence for the claim that less than 10% of the test results are wrong
Step-by-step explanation:
Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.
Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)
Sample proportion = 
H0: p = 0.10
Ha: p <0.10
(left tailed test)
p difference = 0.09-0.10 = -0.01
Std error = 
z statistic = -1.9245
p value = 0.027
Since p <0.05 we reject H0
There is evidence for the claim that less than 10% of the test results are wrong
Answer:
3
Step-by-step explanation:
- <em>Each of the seven happy clowns has a red nose.</em>
This means there are (15-7) 8 sad clowns.
- <em>Five of the sad clowns have red noses. </em>
This means out of 8 sad clowns, 5 have red noses. So the clowns that have to act sad and have red noses are (8-5) 3.
The statement is False.
For this, it is enough to show a case in which the subtraction of two positive numbers is negative.
For this, we must choose two numbers.
Suppose we want to subtract the following numbers:
Number 1: 5
Number 2: 10
Subtracting both numbers we have:
We observe that the result is negative. Therefore, the given conclusion is false.
Answer:
Counterexample:
