please answer this

1)

Debra is looking for the best deal on a king-size mattress that has a wholesale price of $369. Help her compare the price of the mattress in different situations by completing the following. (a) Debra can go to a specialty store that she knows has the mattress. This specialty store gets it from a distributor who marks up the wholesale price 20%. Then the specialty store marks it up by an additional 50%. Ignoring tax, how much would Debra pay for the mattress at this specialty store? $ (b) Debra can also buy the mattress from a distributor that does direct-to-customer sales. When selling directly to individual customers, this distributor marks up the wholesale price 70%. Ignoring tax, how much would Debra pay for the mattress if she gets it from this distributor? 3 (c) Select the true statement. O Debra would pay less for the mattress if she gets it at the specialty store. O Debra would pay less for the mattress if she gets it directly from the distributor. O Debra would pay the same amount if she gets the mattress from the distributor or at the specialty store. A private college advertised that last year their freshman students, on average, had a score of 1160 on the college entrance exam. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. 0 Next year some of their freshman students will have a score of at least 1160 on the exam. Last year, the number of their freshman students who had a score of less than 1160 on the exam was equal to the O number of their freshman students who had a score of more than 1160 on the exam. 0 Last year at least one of their freshman students had a score of exactly 1160 on the exam. 0 Last year at least one of their freshman students had a score of more than 950 on the exam. 0 Last year all of their freshman students had a score of at least 1160 on the exam. [ None of the above statements are true. The total blood cholesterol level was measured for each of 21 adults. Here are the 21 measurements (in mg/dL). 137, 145, 156, 161, 170, 173, 178, 186, 186, 186, 187, 192, 193, 194, 199, 205, 210, 220, 223, 232, 246 Send data to calculator Frequency 10- 8 - 6. 4 4 4. 2 2 125 150 175 200 225 250 Cholesterol level (in mg/dL) Mean (a) For these data, which measures of Median central tendency take more than one value? Choose all that apply. Mode None of these measures (b) Suppose that the measurement 137 (the Mean smallest measurement in the data set) were O Median replaced by 51. Which measures of central tendency would be affected by the change? Mode Choose all that apply. None of these measures (c) Suppose that, starting with the original Mean data set, the largest measurement were Median removed. Which measures of central tendency would be changed from those of O Mode the original data set? Choose all that apply. ONone of these measures (d) Which of the following best describes the O Negatively skewed distribution of the original data? Choose only O Positively skewed one. Roughly symmetricalOne spinner has two sections. They are marked 4 and B. Another spinner has five sections. They are marked 1, 2, 3, 4, and 5. The two spinners are spun. The tree diagram below shows the possible putcomes. Use the diagram to answer the questions. First spinner Second spinner Outcome (A1) A (a.2) (a.3) (a.4) (a.5) (8.1) (8.2) (8.3) (8.4) (8.5) L o W N = U B W N (a) How many outcomes are there? outcome(s) (b) How many outcomes involve landing on .4 and an odd number? outcome(s) (c) How many outcomes invelve landing on 3 or 42 outcome(s) A number cube is rolled three times. An putcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes O Probability 000 OEE ECO OEOC EEE EEO OO0E EOE maore even [} [} [} [} [} [} [} [} |:| numbers Event B: An even number on the first roll or the third roll (or both) Event C: An even number on both [} [} [} [} [} [} [} [} the first and the D last rolls A toy company is going to issue new ID codes to its employees. Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated. How many employee ID codes can be generated? There are two bags containing only black and green marbles. Bag A has 10 green marbles and 10 black marbles. Bag B has 6 green marbles and 9 black marbles. A marble is randomly chosen from each bag. List these events from least likely to most likely. Event 1: choosing a red marble from Bag A. Event 2: choosing a green marble from Bag A. Event 3: choosing a green marble from Bag B. Event 4: choosing a black marble from Bag B. Least likely _ Most likely Event] , Event , Event Event ' EEN Experiment A box contains tiles labeled A through Z. A tile is randomly chosen from the box and sst aside. Then another random selection is made from the remaining tiles. For each experiment, determine whether events A and B are independent or dependent. (27 Event A: The first selection is a tile labeled witha "1, Independent Dependent Event B: The second - - selection is a tile labeled with a "Z", A paper clip is randomly selected from a container with black Event A: The first clips and white dips and hrown away. Then another random selection is a black selection is made from the remaining clips. paper clip. Event B: The second - - selection is a white paper clip. A spinner with slices numbered 1 through 9 is spun twice. Event A: The first spin lands on 1. Event B: The second O O spin lands on 2. Amanda randomly selects one of her sports trading cards. She Event A: The first then retums the card to the deck and mixes the deck. Then selection is a baseball another random selection is made. player. Event B: The second - - selection is a tennis player. A bag contains red beans and orange beans. 4 bean is selected Event A: The first from the bag and dropped back into the bag, The beans are selection is a red bean. mixed. Then another random selection is made. Event B: The second - selection is an orange bean. Dan won a charity raffle. His prize will be randomly selected from the 9 prizes shown below. The prizes include 3 rings, 1 camera, and 3 headsets. Prizes q@ i @ q@ m dqa (a) Find the odds in favor of Dan winning a ring. O \" (b) Find the odds against Dan winning a ring. [ Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D. (@) How many ways can this be done, if the order of the choices is taken into consideration? 0 (b) How many ways can this be done, if the order of the choices is not taken into consideration? 0 A dartboard has 3 equally sized slices numbered from 1 to 3. Some are grey and some are white. The slices numbered 1, 2, 4, and 3 are grey. The slice numbered 3 is white. A& dart is tossed and lands on a slice at random. Let X be the event that the dart lands on a grey slice, and IetP(X) be the probability of X Let not X be the event that the dart lands on a slice that is not grey, and let P(not X) be the probability of not X, (a) For each event in the table, check the cutcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Event Probability O notX (OD|o|o|O|O P(\"C'tX)=|:I (b) Subtract. 1-2() = 8 {c) Select the answer that makes the sentence true. 1-P(X) is the same as (Choose one) __ |- \" After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 25 adults, 18 said they liked the movie, whereas out of 50 teenagers, 32 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, (Choose one) moviegoers liked the movie less. That is because only | % liked the movie, X 5 whereas | % of the (Choose one) V moviegoers liked the movie.n examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your There are 30,000 adults living in Dak City. main source of news?" The results are shown below. Main Source Number of of News Adults Newspapers 58 Internet 86 Television 130 Radio 21 Other 44 Based on the sample, predict the number of adults in Oak City whose main source of news is the internet. Round your answer to the nearest whole number. Do mot round any intermediate calculations