Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points. Identify and describe the
transformation.
D: (x,y) → (4x,4y)
A (2,1) B (4,1) C (4,-3)
A. This is a dilation about (0, 0) with a scale factor of 0.25; A’(8, 4), B’(16, 4), C’(16, –12).
B. This is a dilation about (0, 0) with a scale factor of 4; A’(8, 4), B’(16, 4), C’(16, –12).
C. This is a dilation about (0, 0) with a scale factor of 0.25; A’(0.5, 0.25), B’(1, 0.25), C’(1, –0.75).
D. This is a dilation about (0, 0) with a scale factor of 4; A’(0.5, 0.25), B’(1, 0.25), C’(1, –0.75).
D: (x,y) → (4x,4y)
A (2,1) B (4,1) C (4,-3)
A. This is a dilation about (0, 0) with a scale factor of 0.25; A’(8, 4), B’(16, 4), C’(16, –12).
B. This is a dilation about (0, 0) with a scale factor of 4; A’(8, 4), B’(16, 4), C’(16, –12).
C. This is a dilation about (0, 0) with a scale factor of 0.25; A’(0.5, 0.25), B’(1, 0.25), C’(1, –0.75).
D. This is a dilation about (0, 0) with a scale factor of 4; A’(0.5, 0.25), B’(1, 0.25), C’(1, –0.75).
1 answer:
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Answer:
Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Mean mileage for the Carter Motor Company's new sedan
We can design the null hypothesis and alternate hypothesis as:
Type I error:
- It is the false positive error.
- It is the error of rejection a true hypothesis.
Type II error:
- It is the false negative error.
- It is the non rejection of a false null hypothesis.
Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.