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In the figure below, lengths in units and angle measures in degrees are as marked. How many units long is image? image

(A)3

(B) 3image

(C) 3image

(D) 6

(E) 3image

The Correct Answer

The sum, S, of an arithmetic sequence with first term x1 is given by , where n is the number of terms in the sequence. The sum of 5 consecutive terms in a given arithmetic sequence is 145, and x5 is 48. What is the sixth term of this sequence?

(A)49 (B) 57.5 (C) 77 (D) 154.5 (E) 174

Correct Answer: B

A 16-piece orchestra wants to choose one of its members to speak at performances. They decide that this member CANNOT be one of the 4 soloists in the group. What is the probability that Itzhak, who is NOT a soloist, will be chosen as the speaker?

(A) 0(B) (C) (D) (E)

Correct Answer: C

The perimeter of an elliptical billiard table is to be covered with red velvet. The perimeter of an ellipse is given by the formula image, where l is the length and w is the width, as shown in the diagram below. If the length is 4 feet and the width is 3 feet, what is the outside perimeter of the ellipse in feet? image

(A)imageπ image (B) image (4 image + 3) (C) imageπ image (D) (4π + 3) image (E) 5π image

Correct Answer: A

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