$a_1=-33;\ a_9=-121\\\\a_9-a_1=8d\\\\8d=-121-(-33)\\8d=-121+33\\8d=-88\ \ \ \ |divide\ both\ sides\ by\ 8\\d=-11\\\\a_{32}=a_1+31d\\\\a_{32}=-33+31\cdot(-11)=-33-341=-374\\\\Answer:\boxed{a_{32}=-374}$

8 0

3 years ago

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What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles 14 red marbles

Zinaida [17]

The probability of drawing both without replacing either is :

14/41 * 12/40 = 7/41 * 3/5 = 21/205

The probability of drawing both WITH replacement is:

14/41 * 12/41 = 168/ 1681

7 0

3 years ago

A parabola is a set of points in a plane that are __________ a fixed line called the directrix and a fixed point called the focu

Paladinen [302]

I think the correct answer from the choices listed above is option B. A parabola is a set of points in a plane that are equidistant from <span>a fixed line called the directrix and a fixed point called the focus. The distance is equal all through out from the directrix to the focus.</span>

5 0

3 years ago

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