Find the standard form of the equation of the ellipse with the given characteristics.

foci: (–2, 6), (–2, 10)

endpoints of the major axis: (–2, –1), (–2, 17)



a.

b.

c.

d.

e.


b.

Mathematics

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Which of the following uses theoretical probability? ?

A. ?Finding the probability of an outcome when rolling three dice. B. ?Finding the probability of an outcome when tossing a coin and then spinning a spinner. C. ?Theoretical Probability is commonly used in gambling. D. ?Experimental Probability can be used to determine the likelihood of a meteor hitting the Earth. E. ?As the number of trial increases, the probability of an event in an experiment approaches the theoretical probability.

Mathematics

Divide.1,210,000 ÷ 100

A. 121,000,000 B. 1210 C. 121,000 D. 12,100

Mathematics

Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (0, ?); concave down on (-?, 0) B. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (0, ?); concave up on (-?, 0) C. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (-?, -3) and (3, ?); concave down on (-3, 3) D. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (-?, -3) and (3, ?); concave up on (-3, 3)

Mathematics

The following table shows the length L, in inches, and the flying speed S, in feet per second, of certain flying animals. Use power regression to model the flying speed as a function of the length. Use two digits of accuracy for the coefficient and for the power.  L 0.56 3.96 4.08 47.85 62.1 S 21.57 36.57 39.23 61.07 74.12?

A. ?
B. ?
C. ?
D.

Mathematics