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All Textbook Solutions for High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
Simplify each expression. (Hint: Multiply before adding or subtracting.) 8314+1.56460Simplify each expression. (Hint: Multiply before adding or subtracting.) 033521430Simplify each expression. (Hint: Multiply before adding or subtracting.) 43020.511562Simplify each expression. (Hint: Multiply before adding or subtracting.) 051.23+0.5861.28Simplify each expression. (Hint: Multiply before adding or subtracting.) 35232112502423Simplify each expression. (Hint: Multiply before adding or subtracting.) 2113461.5022.5+0.12.24101.631046.6For Exercises 1-5, choose the correct letter. What is the sum 3243+5432? A8216B2271C2675D2675For Exercises 1-5, choose the correct letter. What is the difference 324325712? F3317G13315H33315I13315For Exercises 1-5, choose the correct letter. Which matrix is equal to 62734? A41392B13315C12421824D12421824For Exercises 1-5, choose the correct letter. What is the value of x in the equation 269314653=8x11? F. -24 G. -12 H. 12 I. 24For Exercises 1-5, choose the correct letter. What is the value of x in the equation x51223=35841421? A. -40 B. -7 C. 7 D. 16The table at the right shows the sales of cell phones and televisions at an electronics store on Fridays, Saturdays, and Sundays of June and July. On which day did the store sell the most televisions during these two months? Find the answer using matrices.Use the data to make a frequency table. runs per game: 5 4 3 6 1 9 3 4 2 2 0 7 5 1 6Use the data to make a frequency table. Weight (Ib): 10 12 6 15 21 11 12 9 11 8 8 13 10 17Use the data to make a histogram. number of pages: 452 409 355 378 390 367 375 514 389 438 311 411 376Use the data to make a histogram. price per yard: $9 $5 $6 $4 $8 $9 $12 $7 $10 $4 $5 $6 $6 $7Tell whether each histogram is uniform, symmetric, or skewed.Tell whether each histogram is uniform, symmetric, or skewed.Tell whether each histogram is uniform, symmetric, or skewed.Tell whether each histogram is uniform, symmetric, or skewed.Use the data to make a cumulative frequency table. call length (min): 3 5 12 39 12 3 15 23 124 2 1 1 7 19 11 6Use the data to make a cumulative frequency table, package weight (kg): 1.25 3.78 2.2 12.78 3.15 4.98 3.45 9.1 1.39Use the snowfall amounts, in inches, below. 10 2.5 1.5 3 6 8.5 9 12 2 0.5 1 3.25 5 6.5 10.5 4.5 8 8.5 What is a histogram of the data that uses intervals of 2?Use the snowfall amounts, in inches, below. 10 2.5 1.5 3 6 8.5 9 12 2 0.5 1 3.25 5 6.5 10.5 4.5 8 8.5 What is a histogram of the data that uses intervals of 4?The amount of gasoline that 80 drivers bought to fill their cars gas tanks is shown. Gasoline Purchased Which interval represents the greatest number of drivers?The amount of gasoline that 80 drivers bought to fill their cars gas tanks is shown. How many drivers bought more than 12 gallons?The amount of gasoline that 80 drivers bought to fill their cars' gas tanks is shown. How many drivers bought 9 gallons or less?For Exercises 1-2, choose the correct letter. What is the shape of the histogram at the right? symmetric C. skewed proportional D. uniformFor Exercises 1-2, choose the correct letter A student rolled two 6-sided number cubes several times. The numbers below are the sums of the numbers she rolled. Which histogram represents the data? 7 11 2 6 7 9 12 3 7 4 8 3 5 10 7 8 11 5 4 12The number of emails a friend received each day over the last 20 days is shown below. Create a cumulative frequency table that represents the data. For how many days did she receive 19 or fewer emails? 15 22 18 9 32 35 14 10 34 45 21 25 6 12 7 14 16 20 5 37.Find the mean, median, and mode of each data set. Explain which measure of central tendency best describes the data. touchdowns scored: 1 3 4 4 3Find the mean, median, and mode of each data set. Explain which measure of central tendency best describes the data. Distance from school (mi): 0.5 3.9 4.1 5 3Find the mean, median, and mode of each data set. Explain which measure of central tendency best describes the data. Average speed (mi/hr) 63 59 47 56 67Find the mean, median, and mode of each data set. Explain which measure of central tendency best describes the data. Price per pound $30 $8 $2 $5 $6Find the mean, median, and mode of each data set. Explain which measure of central tendency best describes the data. Daily high temperature (ºF) 74 69 78 80 92Find the mean, median, and mode of each data set. Explain which measure of central tendency best describes the data. Number of volunteers: 24 22 35 19 35Find the value of x such that the data set has the given mean. 11, 12, 5, 3, x: mean 7.4Find the value of x such that the data set has the given mean. 55, 60, 35, 90, x: mean 51Find the value of x such that the data set has the given mean. 6.5, 4.3, 9.8, 2.2, x; mean 4.8Find the value of x such that the data set has the given mean. 100, 112, 98, 235, x; mean 127Find the value of x such that the data set has the given mean. 1.2, 3.4, 6.7, 5.9, x; mean 4.0Find the value of x such that the data set has the given mean. 34, 56, 45, 29, x; mean 40One golfers scores for the season are 88,90,86, 89,96, and 85. Another golfers scores are 91,86,88, 84,90, and 83. What are the range and mean of each golfers scores? Use your results to compare the golfers' skills.Find the range and mean of each data set Use your results to compare the two datasets. Set A: 5 4 7 2 8 Set B: 3 8 9 2 0Find the range and mean of each data set Use your results to compare the two datasets. Set C: 1.2 6.4 2.1 10 11.3 Set D: 8.2 0 3.1 6.2 9Find the range and mean of each data set Use your results to compare the two datasets. Set E: 12 12 0 8 Set F: 1 15 10 2Find the range and mean of each data set Use your results to compare the two datasets. Set G: 22.4 20 33.5 21.3 Set H: 6.2 15 50.4 28The heights of a painters ladders are 12 ft, 8 ft, 4 ft, 3 ft, and 6 ft. What are the mean, median, mode, and range of the ladder heights?Find the mean, median., mode, and range of each data set after you perform the given operation on each data value. 4, 7, 5,9, 5,6; add 1Find the mean, median., mode, and range of each data set after you perform the given operation on each data value. 23, 21, 17, 15, 11; subtract 3Find the mean, median., mode, and range of each data set after you perform the given operation on each data value. 1.1, 2.6, 5.6, 5, 6.7, 6; add 4.1Find the mean, median., mode, and range of each data set after you perform the given operation on each data value. 5, 2, 8, 6, 11, 1; divide by 2Find the mean, median., mode, and range of each data set after you perform the given operation on each data value. 12.1, 13.6, 10, 9.7, 13.2, 14; divide by 0.5Find the mean, median., mode, and range of each data set after you perform the given operation on each data value. 3.2, 4.4, 6, 7.8, 3, 2; subtract -4The lengths of Anas last six phone calls were 3 ruin, 19 min, 2 min, 44 min, 120 min, and 4 min. Gregs last six phone calls were 5 min, 12 min, 4 min, 80 min, 76 min, and 15 min. Find the mean, median, mode, and range of Anas calls and Gregs calls. Use your results to compare each persons phone call habits.The table shows a basketball players scores in five games. How many points must the basketball player score in the next game to achieve an average of 13 points per game?You and a friend weigh your loaded backpack every day for a week. The results are shown in the table. Find the mean, median, mode, and range of the weights of your backpack and your friends backpack. Use your results to compare the backpack weights.Over six months, a familys electric bills averaged $55 per month, the bills for the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was the electric bill in the sixth month? Find the median, mode, and range of the six electric bills.For Exercises 1-5, choose the correct letter. What is the mean of the data set 23,36, 42,33, 27,32,42,28,18, and 39? A. 23 B. 32 C. 35 D. 42For Exercises 1-5, choose the correct letter. Six line segments were drawn at equal intervals across a sketch of Jackson Pond. Using the lengths of the line segments, what is the mean width of Jackson Pond? 190 ft 301.67 ft 300 ft 375 ftFor Exercises 1-5, choose the correct letter. What is the range of the data set 125, 236, 185,125, 201, and 155? A. 62.5 B. 111 C. 125 D. 171.17For Exercises 1-5, choose the correct letter. A world-class sprinter is the coach of a high school track team. There are 52 members of the track team. The coach times everyone on the team, including himself, running the 100-meter race. Which measure will be the most greatly affected by the inclusion of the coachs time? F. mean 6. median H. mode I. rangeFor Exercises 1-5, choose the correct letter. What is the mode of the data set 87, 78,42, 97,78,92,78, 48, 87, 94, and 59? A. 55 B. 76.36 C 78 D. 87The table at the right shows the number of wins a baseball team had in its first five seasons. What is the mean number of wins the team had per season? What is the median number of wins the team had per season?Find the minimum, first quartile, median, third quartile, and maximum of each dataset. 220 150 200 180 320 330 300Find the minimum, first quartile, median, third quartile, and maximum of each dataset. 14 18 12 17 14 19 18Find the minimum, first quartile, median, third quartile, and maximum of each dataset. 33.2 45.1 22.3 76.7 41.9 39 32.2Find the minimum, first quartile, median, third quartile, and maximum of each dataset. 5 8 9 7 11 4 9 4Find the minimum, first quartile, median, third quartile, and maximum of each dataset. 1.4 0.2 2.3 1.0 0.8 2.4 0.9 2.1Find the minimum, first quartile, median, third quartile, and maximum of each dataset. 90 47 88 53 59 72 68 62 79Make a box and whisker plot to represent each set of data. Snack prices: $0.99 $0.85 $1.05 $3.25 $1.49 $1.35 $2.79 $1.99Make a box and whisker plot to represent each set of data. Ticket buyers: 220 102 88 98 178 67 42 191 89Make a box and whisker plot to represent each set of data. Marathon race finishers: 3,869 3,981 3,764 3,786, 4,310 3,993 3,258Make a box and whisker plot to represent each set of data. Winning times (min): 148 148 158 149 164 163 149 156Make a box and whisker plot to represent each set of data. Ticket prices: $25.50 $ 45 $24 $32.50 $32 $20 $38.50 $50 $45Make a box and whisker plot to represent each set of data. Head circumference (cm): 60.5 54.5 55 57.5 59 58.5 57 56.75 57Use the box-and-whisker plot below. What does it tell you about the test scores in each class? Explain.Of 200 golf scores during a city tournament, 32 are less than or equal to 90 What is the percentile rank of a score of 90?Of 25 dogs, 15 weigh more than 35 pounds. What is the percentile rank of a dog that weighs 35 pounds?The table shows how many votes each student who ran for class president received. What is Lis percentile rank?Ten students earned the following scores on a test: 89,90, 76, 78, 83,88, 91, 93, 96, and 90. Which score has a percentile rank of 90? Which score has a percentile rank of 10?Make box-and-whisker plots to compare the data sets Test scores; Andrews: 79 80 87 87 99 94 77 86 Dipak s: 93 79 78 82 91 87 80 99Make box-and-whisker plots to compare the data sets Monthly sales: Kieras: 17 50 26 39 6 49 62 40 3 Pauls: 18 47 32 28 12 49 60 28 15Solve each exercise and enter your answer on the grid provided. During the eight-game regular season, a running back ran the football for 125, 82,105,155,98,68, 111, and 95 yards. What is the third quartile of the data set?Solve each exercise and enter your answer on the grid provided. During the last two weeks of work, a salesperson has sold 14,22,31, 7,14, 15, 34,42,10, and 17 items each day. What is the first quartile of the data set?Solve each exercise and enter your answer on the grid provided. This year, a toy drive for a charity lasted 15 days. The charity received 55,63, 44,110,99,67,88,75,53,47,64,76,92,56, and 110 toys on the days of the drive. What is the median of the data?Solve each exercise and enter your answer on the grid provided. Using the box-and-whisker plot shown below, what is the interquartile range of the data?Solve each exercise and enter your answer on the grid provided. Of the 32 students in the class. 12 stand 5 feet 5 inches or are shorter. What is the percentile rank of a student who is 5 feet 5 inches tall?Determine whether each data set is qualitative or quantitative. Price of cell phonesDetermine whether each data set is qualitative or quantitative. Video game salesDetermine whether each data set is qualitative or quantitative. favorite clothing brandDetermine whether each data set is qualitative or quantitative. age at graduationDetermine whether each data set is qualitative or quantitative. Ounces per packageDetermine whether each data set is qualitative or quantitative. birthday monthDetermine whether each data set is univariate or bivariate. ages and gender of your neighborsDetermine whether each data set is univariate or bivariate. weights of your friends' petsDetermine whether each data set is univariate or bivariate. how many TV shows your friends watchDetermine whether each data set is univariate or bivariate. distances ranDetermine whether each data set is univariate or bivariate. number of games playedDetermine whether each data set is univariate or bivariate. width and depth of lakesDetermine whether the sampling method is random, systematic, or stratified. Tell whether the method will produce a good sample. A bottle manufacturer checks the quality of every third bottle it makes.Determine whether the sampling method is random, systematic, or stratified. Tell whether the method will produce a good sample. A pollster phones every fourth registered Republican in the state to find out which candidate for Senator the person prefers.Determine whether the sampling method is random, systematic, or stratified. Tell whether the method will produce a good sample. Every student whose drivers license ends in an odd number is asked to complete a survey on safe driving habits.Determine whether the sampling method is random, systematic, or stratified. Tell whether the method will produce a good sample. You ask 15 of the residents on your street whether they support the local bond issue to build a community center across town.Determine whether each question is biased. Explain your answer. What is your favorite television show?Determine whether each question is biased. Explain your answer. Would you rather go to a boring museum or an exciting amusement park?Determine whether each question is biased. Explain your answer. You want to find out how much families in your community spend on entertainment each month. You ask every tenth person at the local movie theater. How might this cause a bias in your results?Determine whether each question is biased. Explain your answer. You want to find out how much time students in your school spend doing math homework each week. You ask every fourth student in your math class. How might this cause a bias in your results?Determine whether each question is biased. Explain your answer. An ice cream store owner wants to determine whether a new flavor, cafe mocha, would be popular with his customers. How could each factor below cause bias in the survey results? The owner interviews customers outside a local coffee shop. The owner interviews his adult customers. The owner asks, 'Which flavor would you prefer: cafe mocha or chocolate?'In each situation, identify the population and sample. Tell whether each sample is a random, systematic, or stratified sample. At an online store, every tenth purchaser is asked to complete an online surveyIn each situation, identify the population and sample. Tell whether each sample is a random, systematic, or stratified sample. You text all of the people in your cell phones contact list and ask them what their favorite website is,Classify the data as qualitative or quantitative, and as univariate or bivariate. age of movie goers at the Tuesday afternoon showing of a popular filmClassify the data as qualitative or quantitative, and as univariate or bivariate. names of U.S. Senators and how many terms they have servedClassify the data as qualitative or quantitative, and as univariate or bivariate. length and weight of fish caught in fishing contestClassify the data as qualitative or quantitative, and as univariate or bivariate. hours of daylight per day in Anchorage, AlaskaClassify the data as qualitative or quantitative, and as univariate or bivariate. number of jellybeans for each color in a five-gallon jarClassify the data as qualitative or quantitative, and as univariate or bivariate, names of baseball players and their batting averages over three seasonsFor Exercises 1-6, choose the correct letter. When statisticians collect information to find characteristics of a large group of people, they survey part of the group. What is the part of the group called? A. specimen B. part C. population D. sampleFor Exercises 1-6, choose the correct letter. You want to find out what the favorite hot lunch in the school cafeteria is among the high school students. At an assembly for the whole school, you decide to survey all students who are sitting on the end of their rows in the auditorium. What type of survey are you conducting? F. biased G. random H. systematic I. stratifiedFor Exercises 1-6, choose the correct letter. A survey is being conducted to determine the favorite movies for various ages. Which of the following best describes this survey? qualitative and univariate C. quantitative and univariate qualitative and bivariate D. quantitative and bivariateFor Exercises 1-6, choose the correct letter. A town wants to know the number of cell phones in each household. The town divides the population up by neighborhood and surveys a random number of households in each. What type of survey is this? F. biased G. random H. systematic I. stratifiedFor Exercises I-6, choose the correct letter. In order to find out what the best restaurant in town is, you call 25 of your friends at random. What type of survey is this? A. stratified B. systematic C. biased D. unbiasedFor Exercises 1-6, choose the correct letter. A store would like to understand what is important to their customers. They randomly select every 50th customer to survey. What type of survey is this? F. biased G. random H. systematic I. stratifiedA pollster is trying to determine who the people in the state think will be the best candidate for senate. Her staff calls 1000 people in the 4 major cities of the state. Will this plan give a good sample? Explain.A six-character license plate number can begin with any two letters and end with four one-digit numbers. How many possible choices are there for the first two characters? For the last four characters? How many different six-character license plate numbers are possible?Use the map at the right and the Multiplication Counting Principle to find each of the following: the number of routes from Piketon to Dublin the number of routes from Piketon to Blaise the number of routes from Blaise to PiketonSix runners are available for the 400-meter relay. Four runners are needed to run 100 m a piece, in a specified order. How many different runner lineups can the coach consider for the relay with one of each?A restaurants menu offers 8 different sandwiches and 5 side dishes. How: many lunch combinations can you order?Find the value of each expression 5P2Find the value of each expression. 4P3Find the value of each expression. 9P3Find the value of each expression. 10P3Find the value of each expression. 9P4Find the value of each expression. 6P3Find the value of each expression. 5p3Find the value of each expression. 11p2Find the value of each expression. 8P5Find the value of each expression. 5P4Find the value of each expression. 6P5Find the value of each expression. 100P2There are 100 songs on your music player. In how many different ways can you arrange 20 songs to listen to while exercising?Find the value of each expression. 5C2Find the value of each expression. 10C8Find the value of each expression. 5C4Find the value of each expression. 9C4Find the value of each expression. 6C3Find the value of each expression. 7C5Find the value of each expression. 4C3Find the value of each expression. 8C4Find the value of each expression. 6C5Find the value of each expression. 5C4Find the value of each expression. 7C3Find the value of each expression. 10C3There are 15 slips of paper in a jar. Each slip has a different name on it. How many ways can you draw 5 names from the jar?Find the number of combinations of numbers taken four at a time can be formed from each set of cards.Find the number of combinations of numbers taken four at a time can be formed from each set of cards.Find the number of combinations of numbers taken four at a time can be formed from each set of cards.Find the number of combinations of numbers taken four at a time can be formed from each set of cards.Explain whether each situation is a combination problem or a permutation problem. Your friends rented 6 different video games. In how many different orders can you play the 6 games?Explain whether each situation is a combination problem or a permutation problem. There are 20 games to choose from at the local game store. How many different sets of 4 games could you choose to rent?Explain whether each situation is a combination problem or a permutation problem. The Alurus family has a garage door that opens with a 4-digit PIN. They decide to base the code on Mrs. Alurus birthday: 01/24/63. How many PINs are there that use four of the digits in Mrs. Alurus birthday?Explain whether each situation is a combination problem or a permutation problem. You have 10 photographs to choose from. How many different ways can you arrange 5 of the photographs in a single row above the sofa?Explain whether each situation is a combination problem or a permutation problem There are 6 class periods in the school day. There are 10 subjects to choose from. How many different class schedules are passible?Determine which value is greater. 9P6 or 6P3Determine which value is greater. 9C6 or 9C5Determine which value is greater. 10C4 or 10C6Determine which value is greater. 10P4 or 6P6For Exercises 1 -7, choose the correct letter. What is the value of 5p3?. A. 20 B. 40 C. 60 D. 120For Exercises 1-7, choose the correct letter. What is the value of 10C6? F. 210 G. 5040 H. 151,200 I. 3,628,800For Exercises 1-7, choose the correct letter. There are 12 people on the basketball team. How many different starting lineups can be chosen? A. 120 B. 792 C. 95,040 D. 3,991,680For Exercises 1-7, choose the correct letter. The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup? F. 5005 G. 362,880 H. 3,603,600 I. 1,816,214,400For Exercises 1-7, choose the correct letter. For a road trip, a friend is going to place 5 CDs into her CD player. She has 9 CDs to choose from. How many different selections of CDs can she make? A. 126 B. 3024 C. 15,120 D. 362,880For Exercises 1-7, choose the correct letter. There are 8 students on the ballot who are running for student council. Four students will be selected for the council. How many different groups of students can be selected for the council? F. 24 G. 70 H. 1680 I. 40,320For Exercises 1-7, choose the correct letter. A website requires a 4-digit numerical password in which the digits cannot repeat. How many possible passwords are there? A. 24 B. 5040 C. 151,200 D. 3,628,800A restaurant serves 4 different sandwiches, 3 different sides, and 3 different beverages for lunch. How many possible meals are there? Show your work.You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P(15)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P (odd number)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P (even number)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P(not 5)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P (lessthan5)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P (greater than 8)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P (multiple of 5)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P(less than 16)You spin a spinner that has 15 equal-sized sections numbered 1 to 15. Find the theoretical probability of landing on the given section(s) of the spinner. P (prime number)You roll a number cube. What is the probability that you will roll a number less than 5?The probability that a spinner will land on a red section is 16. What is the probability that the spinner will not land on a red section?You choose a marble at random from a bag containing 2 red marbles, 4 green marbles, and 3 blue marbles. Find the odds. odds in favor of redYou choose a marbles at random from a bag containing 2 red marbles, 4 green marbles, and 3 blue marbles. Find the odds. Odds in favor of blueYou choose a marble at random from a bag containing 2 red marbles, 4 green marbles, and 3 blue marbles. Find the odds. odds against greenYou choose a marble at random from a bag containing 2 red marbles, 4 green marbles, and 3 blue marbles. Find the odds. odds against redYou choose a marble at random from a bag containing 2 red marbles, 4 green marbles, and 3 blue marbles. Find the odds. odds in favor of greenYou choose a marble at random from a bag containing 2 red marbles, 4 green marbles, and 3 blue marbles. Find the odds. odds against blueYou roll a number cube. What are the odds that you will roll an even number?One hundred twenty randomly selected students at Roosevelt High School were asked to name their favorite sport. The results are shown in the table. Find the experimental probability that a student selected at random makes the given response.One hundred twenty randomly selected students at Roosevelt High School were asked to name their favorite sport. The results are shown in the table. Find the experimental probability that a student selected at random makes the given response.One hundred twenty randomly selected students at Roosevelt High School were asked to name their favorite sport. The results are shown in the table. Find the experimental probability that a student selected at random makes the given response.One hundred twenty randomly selected students at Roosevelt High School were asked to name their favorite sport. The results are shown in the table. Find the experimental probability that a student selected at random makes the given response.A meteorologist says that the probability of rain today is 35%. What is the probability that it will not rain?Hank usually makes 11 out of every 20 of his free throws. What is the probability that he will miss his next free throw?There are 250 freshmen at Central High School. You survey 50 randomly selected freshmen and find that 35 plan to go to the school party on Friday. How many freshmen are likely to be at the party?The Widget Company randomly selects its widgets and checks for defects. If 5 of the 300 selected widgets are defective, how many defective widgets would you expect in the 1500 widgets manufactured today?For Exercises 1-5, choose the correct letter. A letter from the word MISSISSIPPI is selected at random. What is the probability that the letter is 7? 211 B. 15 C. 411 D. 25For Exercises 1-5, choose the correct letter. You spin a spinner that has 8 equal-sized sections numbered 1 to 8. Which event is least likely to occur? The number is even. H. The number is less than 3. The number is greater than 3. I. The number is a multiple of 5.For Exercises 1-5, choose the correct letter. You toss a number cube. What are the odds against getting a number less than 3? A. 2:1 B. 1:2 C. 3:1 D. 1:3For Exercises 1-5, choose the correct letter. A. meteorologist says that the probability of snow today is 45%. What is the probability that it will not snow? F. 211 G. 920 H. 1120 I. 911For Exercises 1-5, choose the correct letter. What is the probability that a number picked from the set {— 4, 3, —2, -1,0,1,2,3,4,5} will be a solution of 2x - 5 > 1? A. 20% B. 30% C 70% D. 80%A pizza restaurant is having a contest. The restaurant advertises that one out of every 25 customers will win a small pizza. What is the probability that a customer will win? If the restaurant has 275 customers on Monday, how many winners would you expect?You spin a spinner that has 12 equalized sections numbered 1 to 12. Find each probability, P (3 or 4)You spin a spinner that has 12 equalized sections numbered 1 to 12. Find each probability. P(even or 7)You spin a spinner that has 12 equalized sections numbered 1 to 12. Find each probability. P(even or odd)You spin a spinner that has 12 equalized sections numbered 1 to 12. Find each probability. P(multiple of 3 or odd)You spin a spinner that has 12 equalized sections numbered 1 to 12. Find each probability. P(odd or multiple of 5)You spin a spinner that has 12 equal .sized sections numbered 1 to 12. Find each probability. P(less than 5 or greater than 9)You spin a spinner that has 12 equal-sized sections numbered 1 to 12. Find each probability. P(even or less than 8)You spin a spinner that has 12 equal-sized sections numbered 1 to 12. Find each probability. P(multiple of 2 or multiple of 3)You spin a spinner that has 12 equalized sections numbered 1 to 12. Find each probability. P(odd or greater than 4)You spin a spinner that has 12 equalized sections numbered 1 to 12. Find each probability. P(multiple of 5 or multiple of 2)Reasoning Why can you use P(A or B) = P(A) + P(B) — P(A and B)for both mutually exclusive events and overlapping events?You roll a red number cube and a blue number cube. Find each probability P(red 2 and blue 2)You roll a red number cube and a blue number cube. Find each probability P(red odd and blue even)You roll a red number cube and a blue number cube. Find each probability. P(red greater than 2 and blue 4)You roll a red number cube and a blue number cube. Find each probability P(red odd and blue less than 4)You roll a red number cube and a blue number cube. Find each probability P(red 1 or 2 and blue 5 or 6)You roll a red number cube and a blue number cube. Find each probability P(red 6 and blue even)You roll a red number cube and a blue number cube. Find each probability P(red greater than 4 and blue greater than 3)The probability that Bob will make a free throw is 25. What is the probability that Bob will make his next two free throws?You choose a marble at random from a bag containing 3 blue marbles, 5 red marbles, and 2 green marbles. You replace the marble and then choose again. Find each probability. P(both blue)You choose a marble at random from a bag containing 3 blue marbles, 5 red marbles, and 2 green marbles. You replace the marble and then choose again. Find each probability. P(both red)You choose a marble at random from a bag containing 3 blue marbles, 5 red marbles, and 2 green marbles. You replace the marble and then choose again. Find each probability. P(blue then green)You choose a marble at random from a bag containing 3 blue marbles, 5 red marbles, and 2 green marbles. You replace the marble and then choose again. Find each probability. P(red then blue)You choose a marble at random from a bag containing 3 blue marbles, 5 red marbles, and 2 green marbles. You replace the marble and then choose again. Find each probability. P(green then red)Yon choose a marble at random from a bag containing 3 blue marbles, 5 red marbles, and 2 green marbles. You replace the marble and then choose again. Find each probability. P(both green)You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You pick a second tile without replacing the first. Find each probability. P(X then Y)You choose a tile at random from a bag containing 2 tiles with X, fi tiles with Y, and 4 tiles with Z. You pick a second tile without replacing the first. Find each probability. P(both Y)You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You pick a second tile without replacing the first. Find each probability. P(Y then X)You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You pick a second tile without replacing the first. Find each probability. P(Z then X)You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You pick a second tile without replacing the first. Find each probability. P(both Z)You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You pick a second tile without replacing the first. Find each probability. P(Y then Z)There are 12 girls and 14 boys in math class. The teacher puts the names of the students in a hat and randomly picks one name. Then the teacher picks another name without replacing the first. What is the probability that both students picked are boys?For Exercises 1-5, choose the correct letter, You spin a spinner that has 10 equal-sized sections numbered 1 to 10- Which compound event is most likely to occur? a 2 or a 3 a 1 or a number greater than 8 an odd number or a 7 an even number or a 5For Exercises 1-5, choose the correct letter. What type of compound event is represented by die roll of two number cubes? dependent events independent events overlapping events mutually exclusive eventsFor Exercises 1-5, choose the correct letter. You choose a marble at random from a bag containing 3 orange marbles, 4 green marbles, and 3 yellow marbles. You replace the marble and then pick a second marble. What is the probability that you will pick a green marble both times? 650 B. 215 C. 425 D. 845For Exercises 1-5, choose the correct letter, Seven of 28 domino tiles show the same number of dots on each side. These tiles are called doubles. You pick a domino tile at random. Then you pick another tile without replacing the first. What is the probability that both tiles are doubles? F. 356 G. 118 H. 116 I. 7648For Exercises 1-5, choose the correct letter. There are 8 jellybeans in a bag. The probability of randomly picking two orange jellybeans without replacement is 314. How many orange jellybeans are in the bag? 3 orange jellybeans 5 orange jellybeans 4 orange jellybeans 6 orange jellybeansThere are 20 marbles in a bag. The probability that you pick one red marble at random is 15. What is the probability that you will pick two red marbles in a row if you do not replace the first? Explain.