tailieunhanh - Solve prpblem sat 6

Tham khảo tài liệu 'solve prpblem sat 6', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | PRACTICE TEST 2 7. a. At the start there are 5 3 2 10 pens in the box 3 of which are black. Therefore the probability of selecting a black pen is - 3y. After the black pen is removed there are nine pens remaining in the box five of which are blue. The probability of selecting a blue pen second is - . To find the probability that both events will happen multiply the probability of the first event by the probability of 3 5 15 1 the second event 1q 9 900 6 8. b. Angle CBD and angle PBZ are alternating angles their measures are equal. Angle PBZ 70 degrees. Angle PBZ angle ZBK form angle PBK. Line PQ is perpendicular to line JK therefore angle PBK is a right angle 90 degrees . Angle ZBK angle PBK - angle PBZ 90 - 70 20 degrees. 9. c. For the first four days of the week Monica sells 12 pretzels 12 pretzels 14 pretzels and 16 pretzels. The median value is the average of the second and third values 12 14 y 13. If Monica sells 13 pretzels on Friday the median will still be 13. She will have sold 12 pretzels 12 pretzels 13 pretzels 14 pretzels and 16 pretzels. The median stays the same. 10. a. The denominator of each term in the pattern is equal to 2 raised to the power given in the numerator. The numerator decreases by 1 from one term to the next. Since 10 is the numerator of the first term 10 - 9 or 1 will be the numerator of the tenth term. 21 2 so the tenth term will be -y 11. a. No matter whether p is positive or negative or whether p is a fraction whole number or mixed number the absolute value of three times any number will always be positive and greater than the absolute value of that number. 12. d. Line OB line OC which means the angles opposite line OB and OC angles C and B are congruent. Since angle B 55 degrees then angle C 55 degrees. There are 180 degrees in a triangle so the measure of angle O is equal to 180 - 55 55 180 - 110 70 degrees. Angle O is a central angle. The measure of its intercepted arc minor arc BC is equal to the measure of angle O 70 degrees.