Final Practice 1 Date: Section: Name: . Find: n(a) 2) na= ( ) 25

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1 Final Practice 1 Date: Section: Name: 1. Is the set A={ x x is a rational nmber less than 6 } finite or infinite 1) infinite 2. Let A = { 32, 33, 34, 35,...,55,56}. Find: n(a) 2) na= ( ) Fill in the blank with either or to make the statement true: 3) {8} {3, -2, 5, 7, 8} 4. List the element of the set A={ x x is a whole nmber less than 6 } 4) { 0,1, 2,3, 4,5 } =, then what is na= ( )? 5) na= ( ) 8 5. Given set A { x x is a letter in the word Pizzalight} 6. If set A is all whole numbers between 5 and 7 inclusive, then is set A finite or infinite? 6) finite Given {,,,,, } {,,,, } {,,, } {,, } {,,, } {,, } A = { } B = { } C = { } D = { } E = { } F= { ram,, } G= { gem,, } H= { ran,, } K= { rage,,, } J= { are,, } F = { } G = { } H = { } K = { } J = { } U= german A= range B= gear C= age D= germ E= ear Just write T or F for the answer. 1. Is it true or false? G D. 1) True 2. Is it true or false? H A. 2) True 3. Is it true or false? E B. 3) True 4. Is it true or false? E J. 4) True 5. Is it true or false? E J. 5) False 6. Is it true or false? A. 6) True Write the complement for each set 1. Is it true or false? G D. 1) False 2. Is it true or false? H A. 2) False 3. Is it true or false? E B. 3) False 4. Is it true or false? E J. 4) True Given set A= { a,b, e} 1.Find the number of subset for set A and list them 3 There are 2 = 8 subsets, and they are: { a,b, e }, { a,b},{ ae,{b,,} e },{ a },{b},{ e },{ } 2.Find the number of proper subset for set A and list them 3 There are 2 1= 7 subsets, and they are: { a,b},{ ae,{b,,} e },{ a },{b},{ e },{ } Let U= {,,, abcde,} A= {,,, abcd} A = { e } B= {,, bead, } B = { c } C = { a,b, e} C = { cd, } 1

2 List all the elements for problem 1-5: 1 B A 1) { c } 2. A B 2) { bead,,, } 3. A C 3) { e } 4. B U 4) { bead,,, } 5. U C 5) { cd, } 6 B A 6) 7. A B 7) { ce, } 8. A C 8) 9. ( A B) C 9) { cd, } 10. ( A B) ( C A) 10) { c } 11. B U 11) { c } Let U= { hardtop,,,,,, } A= {, road,, } B= { port,,,} C= {, tard,, } A = { ht,, p} B = { had,, } C = { ho,, p} List all the elements for problem 1-10: 1 A B C 1) { r } 2. A B C 2) { h } 3. ( A B) C 3) { ad, } 1 Convert 505 six to base eight 1) 271 eight 2. Convert 2210 three to base five 2) 300 five 3 Convert CAB sixteen to base eight 3) 6253 eight 4. Convert 1234 five to base Sixteen 4) C 2 sixteen 5 Convert 2AC sixteen to base nine 5) 840 nine 6. Convert two to base six 6) 213 six Add the numbers with the same bases 1) 342 five five = 1) 1301 five 2) 342six + 404six = 2) 1150 six 3) BADsixten ABEsixteen + = 3) 166B sixteen 4) 4205eight eight = 4) 7552 eight 5) 10101two two = 5) two 6) BBCsixten + ABCsixteen = 6) 1678 sixteen 7) ABE1sixteen + BAD2sixten = 7) 166B 3 sixteen 2

3 Date: Section: Name: Find the future value of invested money under different options. 1) $1000 at 4 % for 8 years compounded monthly 1) $ ) $ 5000 at 8 % for 10 years compounded quarterly. 2) $ How much must be invested to have a future value of $50,000 under following options 3) 8 % for 10 years. 3) $ ) 4 % for 8 years. 4) $ ) In how many ways Moe can dress up, if he has 8 shirts, 4 pants, and 3 pair of shoes? 5) 96,,, 6) Find 5 C4 6 C3 6) 100 7) Find 6 P 4 7 C 5 7) ) How many different passwords are possible if a password should consist of 2 letters, 8) 676,000 first and 3 digits after not case sensitive? 9) License plates are made using 3 letters followed by 3 digits. How many plates can be made if 9) 17,576,000 repetition of letters and digits is allowed? 9-b) License plates are made using 3 letters followed by 3 digits. How many plates can be made if 9-b) 11,232,000 repetition of letters and digits is not allowed? 10) How many different 7-digit phone numbers are possible if the first digit cannot be a 0? 10) 9,000,000 11) In how many ways a teacher can give different prizes to 5 of his 10 students? 11) 30,240 12) How many ways can a president and a treasurer be selected in a club of 11 members)? 12) ) In how many ways can we select 3- member committee from a group of 8 people? 13) 56 14) How many ways can a president, vice-president, and a treasurer be selected in 14) 720 a club with 10 members? 15) In how many ways a teacher can select 5 of his 23 students for a fieldtrip? 15) 33,649 16) How many different 5-digit sequences can be formed using the digits 0, 1,...,6 16) 720 if repetition of digits is not allowed 3

4 A. For the given data that represent the homework scores, ) Find Mean, (Round in 2 decimal) 1) ) Find Median, (Round in 2 decimal) 2) ) Find Mode, (Round in 2 decimal) 3) 9,13,28 4) Find Q1, (Round in 2 decimal) 4) 13 5) Find Q2, (Round in 2 decimal) 5) ) Find Q3, (Round in 2 decimal) 6) ) 75% of data are below what number, (Round in 2 decimal) 7) ) 75% of data are above what number, (Round in 2 decimal) 8) 13 9) Find Range, (Round in 2 decimal) 9) 27 10) Use the number line at bottom to draw the Box-Plot for above data and explain its shape ) Use the number line at bottom to draw the Dot-Plot for above data and the values for min, Q1, Q2, Q3, max. Also, describe if the Box_Plot is skewed to right, left or centered. 4

5 Probability Date: Section: Name Find the probability. 1) A bag contains 9 red marbles, 8 blue marbles, and 6 green marbles. What is the probability that a randomly selected marble is blue? A) 8 23 B) 9 23 C) 8 17 D) ) 2) Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 3? A) 2 B) 17 C) 1 D) ) 3) A bag contains 6 red marbles, 3 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue? A) 7 B) 10 7 C) D) ) 4) A bag contains 13 balls numbered 1 through 13. What is the probability that a randomly selected ball has an even number? A) B) C) D) ) 5) A class consists of 13 women and 29 men. If a student is randomly selected, what is the probability that the student is a woman? A) B) C) D) ) Solve the problem. 6) The results of a school election for student president are shown in the following table. Candidate A B C D E Votes for ) What is the probability that a randomly polled voter voted for Candidate C? A) 0.50 B) 0.24 C) 0.14 D) ) It has been observed in one country, that 56 out of every 100 births is a baby with brown eyes. In 670 births how many brown eyed babies would you expect? A) 370 B) 375 C) 56 D) 335 7) 1) A 2) D 3) C 4) C 5) C 6) B 7) B 1

6 Use each diagram to solve the problems. Basic Probability 1) How many pieces are there total in the spinner? 2) If you spun the spinner 1 time, what is the probability it would land on a gray piece? 3) If you spun the spinner 1 time, what is the probability it would land on a black piece? 4) If you spun the spinner 1 time, what is the probability it would land on a white piece? 5) If you spun the spinner 1 time, what is the probability of landing on either a white piece or a black piece? Name: Answer Key Answers out of out of out of out of out of out of out of 6 6) If you were to roll the dice one time what is the probability it will land on a 3? 7) If you were to roll the dice one time what is the probability it will NOT land on a 2? 8) If you were to roll the dice one time, what is the probability of it landing on an even number? out of square 12. circle 9) How many shapes are there total in the array? 10) If you were to select 1 shape at random from the array, what is the probability it will be a circle? 11) If you were to select 1 shape at random from the array, what shape do you have the greatest probability of selecting? 12) Which shape has a 32% chance (8 out of 25) of being selected? Math