Pre image ABCD was dilated to produce image A’B’C’D why is the scale factor from the pre image? Enter your answer in the box as
a fraction
1 answer:
The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Step-by-step explanation:
Step 1:
In the pre-image ABCD, the length of one of the sides is given as 14 units.
For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given length of the sides CD and C′D′.
So the scale factor =
So the shape ABCD is dilated by a scale factor of to produce the shape A′B′C′D′.
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Answer:
could not be the same
Step-by-step explanation:
Given that approximately US drivers are agewise as follows:
<25 13.2
25-45 37.7%
>45 49.1%
Observations are made for a sample of 200 fatal accidents.
Let us create hypotheses as
(Two tailed chi square test at 5% significance level)
Age <25 25-45 >45
Expected 13.2 37.7 49.1 100
Observed 42 80 78 200
Expected no 26.4 75.4 98.2 200
Chi square 9.218181818 0.280636605 4.155193483 13.65401191
df = 2
p value = 0.001084
Since p <0.05 we reject null hypothesis
At the 0.05 level, the age distribution of drivers involved in fatal accidents within the state could not be the same as the age distribution of all US drivers as there seems to be significant difference.