In the data set of weights of hummingbirds (in grams) randomly selected from a population, below, what proportion of the observa
tions fall within 1, 2, and 3 standard deviations of each other, and do these figures indicate that the sample may have come from a normally distributed population?
A.) 69%, 92%, 100%; yes
B.) 69%, 92%, 100%; no
C.) 50%, 89%, 99%; yes
D.) 50%, 89%, 99%; no
E.) Can't be determined
A.) 69%, 92%, 100%; yes
B.) 69%, 92%, 100%; no
C.) 50%, 89%, 99%; yes
D.) 50%, 89%, 99%; no
E.) Can't be determined
1 answer:
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Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
