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Q1:2. Calculate the volume of a rectangular prism with a width of 5 cm, a length of 7 cm, and a height of 2 cm.See Answer
Q2:3. Calculate the surface area of a box with a width of 6 mm, a length of 5 mm, and a height of 7 mm. See Answer
Q3:5. In a triangle labelled ∆ABC, ∠C = 90", A = 44", and AC = 27.3 cm. Calculate the length of BC. See Answer
Q4:6. In a triangle labelled ∆ABC,∠C = 90", AB = 17 mm, and BC = 15 mm. Calculate ∠A. See Answer
Q5:9. Given the following data: 35 67 56 78 56 67 82 73 67 72 82 67 85, find the: a) mean b) median c) mode See Answer
Q6:7. In a non-right-angled triangle labelled ∆PQR, ∠P = 124°, ∠R = 32", and p= 37.5 m. Calculate the length of r. See Answer
Q7:8. In a non-right-angled triangle labelled ∆PQR, p = 52.9 m, q = 10.4 m, and r = 47.6 m. Calculate the size of ∠R it to the nearest degree. See Answer
Q8:10.Using the formula C = Pi d, calculate the diameter of a circle with a circumference of 12.4 cm. See Answer
Q9:11.A cereal box is designed to hold a volume of 4096 cubic centimetres of cereal. What dimensions will minimize the cost of producing the box? See Answer
Q10:12. The average age of a university student was found to be 24 with a standard deviation of 2. What age group is within 2 standard deviations of the mean? See Answer
Q11:13. Given the following set of numbers, use the measures of central tendency to identify the type of distribution. Defend your answer. 70 67 75 60 67 65See Answer
Q12:14. Toss a coin 10 times and record how many times you tossed heads. a) What is your experimental probability of tossing heads? b) What is the theoretical probability of tossing heads? c) Compare the two probabilities and determine if you are considered to be "lucky" at tossing heads. See Answer
Q13:14. Toss a coin 10 times and record how many times you tossed heads. a) What is your experimental probability of tossing heads? b) What is the theoretical probability of tossing heads? c) Compare the two probabilities and determine if you are considered to be "lucky" at tossing heads. d) If you were to toss the coin 100 times, what would you expect the experimental probability of heads to be? Defend your answer. See Answer
Q14:2. In each of the following examples, identify the level of measurement used. a. Movie ratings of one star through five stars b. Number of bags of dog food used in a month c. Favorite type of music d. Monthly temperatures in my officeSee Answer
Q15:4. In each of the following examples, identify the sampling method used. a. Instructors are interested in knowing what eating techniques their students are utilizing. Rather than assessing all students, the researchers randomly select one specific class to comprise their sample. b. National Geographic collects data on its readers by asking them to fill out and send in a survey from the March issue. c. A psychologist is studying the sleep patterns of the 3960 students in her basement. She decides to start by asking a random sample of 30 students how many hours of sleep they get weekday nights. The psychologist assigns each student a number from 0001 to 3960 and uses a computer to randomly generate a list of 30 numbers to select the students for the sample.See Answer
Q16:5. My character in the classic Xbox game, Knights of the Old Republic, wants to create a new lightsaber. I have decided that the following attributes (and what percent of my decision they represent) will determine which crystal I choose: Cost (15%), Attack Modifier (32%), Damage (34%), Regeneration Force Points (19%). The following table lists the crystals I will consider, and their ratings (out of 10). Which crystal is the best fit for my character's lightsaber? Crystal Cost Rubat Damind Eralam Sapith -1 -2 -3 -4 Attack Modifier 1 4 5 5 Damage 1 1 5 7 Regeneration Force Points 3 2 0 0See Answer
Q17:6. The Ferguson Privacy Infiltration Bureau reported the percent of people in each US state who talk in their sleep for the year 2020. The following table gives the summaries for the percent of people who talk in their sleep: Count Minimum 5.2 50 Q1 14.3 Median 21.2 Q3 26.5 Maximum 34.5 Stan Dev 8.3 a. Calculate the lower and upper fences. b. Draw a boxplot. Be sure to show your five number summary on your boxplot. c. Describe the shape of your boxplot. d. The middle 50% of values are located where? e. Are there any outliers? f. Would you expect the mean to be roughly equal to, higher than, or lower than the median? Explain!See Answer
Q18:7. Nymphadora Tonks scored an 87 on her Defense Against the Dark Arts N.E.W.T. (Nastily Exhausting Wizarding Test) and a 94 on her Transfiguration N.E.W.T. The average score for the first test was a 79.5 with a standard deviation of 13.7. The average score for the second test was a 78.4 with a standard deviation of 9.3. Which test did she do relatively better on? Explain!See Answer
Q19:8. The super compassionate, Ferguson Privacy Infiltration Bureau, is interested in showing the relation between the amount of fat (in grams) in burgers from different fast food restaurants and the number of calories. Use the following data to answer the questions. Burger Fat (in grams) 79 Burger King Bacon Burger Carl's Jr. 1/2 lb. Guacamole Bacon Thickburger Hardee's 2/3 lb. Monster Thickburger Burger King Triple Whopper Sandwich with Cheese Whataburger Triple Meat Whataburger 89 90 82 84 Calories 1,150 1,200 1,300 1,220 1,885 a. Find the correlation coefficient between fat content and calories. Does a linear correlation exist? Give a sound statistical justification for your answer. b. Find the equation of the least-squares regression line. c. Predict the calories for a burger with 95 grams of fat. d. Compute the residual for a burger with 90 grams of fat. e. Interpret the slope, if appropriate. If not, explain why. f. Interpret the y-intercept, if appropriate. If not, explain why. g. What is the coefficient of determination? h. Explain your coefficient of determination in context.See Answer
Q20:9. When I play Pathfinder, I sometimes use my loaded dice. The twenty-sided dice is made in such a way where a 20 is rolled 15% of the time. Find the probability of rolling three 20's in a row with the loaded dice.See Answer

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