a. A sum of 6 e. A sum less than or equal to 11

Transcription

1 Name Date Per CC7 practice quickcheck Classical Probability DOK 1 Directions: Rolling Two Dice If two dice are rolled one time, Die 2 find the probability of getting these results: Diet a. A sum of (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2,1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3,1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4,1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5,1) (5,2) (5.3) (5,4) (5,5) (5,6) (6,1) (6,2) (6.3) (6,4) (6,5) (6,6) b. Not getting Doubles c. A sum of 2 or 12 d. A sum greater than or equal to 4 e. A sum less than or equal to 11 Selecting a Nurse A recent study of 225 nurses found that of 125 female nurses, 7 had bachelor's degrees; and of 1 male nurses, 6 had bachelor's degrees. If a staff person is selected, find the probability that the subject is a. A female or has a bachelor b. A male nurse or has a bachelor c. A male nurse or does not have a bachelor d. Based on your answers to parts a, b, and c, explain which is most likely to occur. Explain why. 2. Flashlight Batteries A flashlight has 8 batteries, 2 of.which are defective. If 2 are selected at random without replacement, find the probability that both are defective. Dok Manufacturing Tests An inspector must select 3 tests to perform in a certain order on a manufactured part. He has a choice of 7 tests. How many ways can he perform 3 different tests?

2 Name Date Per CC7 practice quickcheck 4. A) Board of Directors In a board of directors composed of 8 people, how many ways can 1 chief executive. Officer, 1 director, and 1 treasurer be selected? b) The following is a permutation problem. How would you rewrite the question to make a combination? 5. Television News Stories A television news director wishes to use three news stories on an evening show. One story will be the lead story, one will be the second story, and the last will be a closing story. If the director has a total of eight stories to choose from, how many possible ways can the program be set up? 6. Four students from 3-member math club will be selected to organize a fundraiser. How many groups of 4 students are possible? 7. There are 8 finalists in the 1-meter dash at the Olympic Games. Suppose 3 of the finalists are from the United States, and that all finalists are equally likely to win. What is the probability that the United States will win all 3 medals in this event? 8. An amusement park has 11 roller coasters. In how many ways can you choose 4 of the roller coasters to ride during your visit to the park? 9.. On a television game show, 9 members of the studio audience are randomly selected to be eligible contestants. a. Six of the 9 eligible contestants are randomly chosen to play a game on the stage. How many combinations of 6 players from the group of eligible contestants are possible? b. You and your two friends are part of the group of 9 eligible contestants. What is the probability that all three of you are chosen to play the game on stage? Explain how you found your answer.

3 Name: CC2 Transformations review Directions: match the transformations (x, y) 9 (x, -y) Dilate by a scale factor of 2 and center of dilation of (,) Reflect across the line y = x A' y) --) (2x, 2y) (x, y) -) (y, x) Reflect across the x - axis -! fad.... _., / ,11111 WM amille MO MU MMMMMMM ii:iiii ammen 27 counter-clockwise around the origin y) --> (-x, -y) ass Nes Iwo H.. all \ j_11 ( X/ Y) 4 ( x, -y) Dilate by a scale factor of.2 and center of dilation of (,) 18 counter-clockwise around the origin

4 , 9 counter-clockwise around the origin OM I MINA II NM III ear Translate 2 units to the right and 3 units up, Am: (x, y) -) (.2x,.2y) Dilate by a scale factor of 1.5 and center of dilation of (,), Reflect across the y - axis asousiimitamealsill mpg:ripen:: le as s gm. il Ell IIIIIIIIIIIIIII altillomiiim OM MU IMO limaileilini NM ONO rizinunumm.,... NM MIS Or. leen MINI III IMO II ANSI III IBM MOO ME thinn :Man: Cammill (x, y) - (x, y - 5) (x, y) -) (1.5x, 1.5y) Translate 5 units down I 1 I Y. s iiiiiiimme aleinillialie mailin iiiiinmasas III / MO

5 t=ilaaery tatecn FF2 N ame: Date: Per: Concept Category 2: Transformations Teacher Score: NY DUK Recall et ReproduCtion 1. Dilate the shape.below using a zoom factor of 3 from the origin. :,.... : : i : i ' 4-.--i ,.. :.... f ;.._,. i... : i : ;, -i--4-- i :. ' : : : I... I. --i---i i---i-- i i : I :... I.... I : : :)( )1( 2: Routine Problems Skiii/Concept 2. Joe stopped working on the transformation problem below to check his work. His original triangle was, A( -5, -4), B(-4, -2), C(-1, -1),. a. Translate triangle ABC left 4, up 6. :" : triangle ABC across the x-axis and label the image A' B'C'. c. Rotate 18 triangle ABC around the origin and label the image A"B"C". d. Rotate triangle ABC 9 around the origin and label the image A"' B"'Cm. DOK 2: Routine Problems Skill/Concept 2. Perform each of the transformations on the original figure. State the new coordinates after each transformation. a. Translate Figure A left 2 units and down 3 units. b. Reflect Figure A across the x-axis. c. Reflect Figure A across the y-axis. d. Rotate Figure A 9 counterclockwise about the origin. Figure A V} VAI FAININ MIPMS MNIIIII N MMININ

6 ._ --- Problem So!yin in Geometr with Pro ortions Objective: a c a b, then C= a b d Use properties of proportions. a If a+b c+d = c, then b d b d NOTES 6.2 AB AC EX 1: In the diagram =. BD CE Find the length of BD. MQLQ EX 2: In the diagram = AN LP Find the length of LQ. 15 EX 3: Given: ---- =, find in. MN MP EX 4: Given: = find PQ. NO PT Solve for x. The triangles in each pair are similar. 7) 8) AKLM AKRS 1 5x - 4 9) ARST AKLM 1) ARST ARA;IL

7 Determine whether the two triangles are similar. If they are similar, write the similarity statement. 5. ir 6. A 7 Explain how you know whether the triangles are similar. If possible, find the indicated length. 7. AC 8. AD C 26 A B D QR 1. Find BD. 2 Tr. State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. 1) 2) 3) G AHGF C AABC 1HGF