Parabola A can be represented using the equation (x + 3)2 = y, while Line B can be represented using the equation y = mx + 9. Is
abel determines one solution to the system of two equations must always pass through the vertex of Parabola A. Which best describes the reasonableness of her solution? Isabel is correct because the y-intercept of Line B is (0, 9) and the value of y when x = 0 in Parabola A is 9. Isabel is correct because the y-intercept of Line B is (9, 0) and the value of x when y = 0 in Parabola A is 9. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the y-intercept of the functions, not necessarily the vertex. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the x-intercept of the functions, not necessarily the vertex.
2 answers:
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Answer:
65.3658 inches
Step-by-step explanation:
Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value such that
, but,
, i.e.,
is the 76th percentile of the standard normal distribution. So,
,
. Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.