Based on a survey, 3 out of 8 households have a pet. Mike's neighborhood has 192 households.
1 answer:
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Answer: The correct option is second, a rotation clockwise about the origin followed by a reflection across the x-axis.
Explanation:
From the given figure it is noticed that the vertices of ΔABC are A(-6,4), B(-4,6), C(-2,2) and vertices of ΔA'B'C' are A'(4,-6), B(6,-4), C(2,-2).
It means if the point is P(x,y) then after transformation it will be P'(y,x).
If a point P(x,y) reflection across the y-axis followed by a reflection across the x-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.
If a shape is rotated clockwise about the origin then the point P(x,y) will be P'(y,-x) and after that reflect across the x-axis, so the point after transformation will be P'(y,x), therefore it is the correct option.
If a shape is rotated clockwise about the origin then the point P(x,y) will be P'(-y,x) and after that reflect across the x-axis, so the point after transformation will be P'(-y,-x), therefore it is not the correct option.
If a point P(x,y) reflection across the x-axis followed by a reflection across the y-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.
Hence, the correct option is second, a rotation clockwise about the origin followed by a reflection across the x-axis.
Answer:
Option C) The average contents of all bottles of juice in the population, which is 473 mL
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 473 mL
Sample mean, = 472 mL
Sample size, n = 30
Sample standard deviation, σ = 0.2
First, we design the null and the alternate hypothesis
Representation of
is the population parameter that represents the population mean.
Thus, for the given situation represents:
Option C) The average contents of all bottles of juice in the population, which is 473 mL