Please show work for all calculated answers. Show work in a neat and organized manner.

Transcription

1 Math 083 Review for Exam 1 Name Please show work for all calculated answers. Show work in a neat and organized manner. 1) Using the frequency table for a monthly budget, find all of the relative frequencies (rounded to 3 decimal places) and percentages (rounded to tenths of a percent). a) Expenditure Dollars Spent Relative Frequency Percentage food $ 400 rent $1000 utilities $ 150 other $ 250 b) The relative frequencies should add to. c) The percentages should add to. 2) Fill in the 2 missing values in each row: fraction decimal percent 3 / ) Tickets were purchased for a dance recital. The pie chart is shown below. a) Approximate the percentage of adult tickets purchased. b) Which is the most reasonable percentage for the senior tickets purchased? 20% 25% 30% 45% 50% 60% c) If 33.3% of the tickets were purchased for children and a total of 600 tickets were purchased, how many child tickets were purchased? 4) Using the nested bar graph: a) How many kilograms of apples were sold on Day 1? b) On which day were more papayas sold? c) Which fruits had more sales on Day 2 than on Day 1?

2 5) Using the histogram at the right of male heights in inches: a) How many males were there? b) What is the interval with a midpoint of 72 inches? c) What is the interval with a frequency of 7? d) What percent have heights of at least 71 inches? e) What percent of males have heights of less than 69 inches? 6) Make a Venn diagram using all of the given information: A survey of 55 college students found that 32 like hot dogs, 39 like hamburgers, 20 like both hot dogs and hamburgers, and 4 are vegetarian and like neither. 7) Make a Venn diagram using all of the given information. Be sure you have 105 total students. A survey of 105 college students found that: 50 have a math class 40 have an English class 35 have a geography class 10 have both a math and an English class 15 have both an English and a geography class 8 have both a math and a geography class 2 have all three classes 8) Using the Venn diagram on classic films people own, answer the following: a) How many people were surveyed? The Godfather Casablanca b) How many own all 3 films? c) How many own The Godfather and Casablanca, but do not own Star Wars? d) How many own Star Wars? e) How many own exactly one of these films? f) How many own The Godfather and Star Wars? Note they may or may not own Casablanca Star Wars g) How many do not own Casablanca?

3 9) Find the perimeter of each figure. Be sure to include units. a) b) a square c) a rectangle 8 cm 5 cm 5 cm 11 cm 5 cm 15 cm 10) Combine each of these: a) 5x + 7x c) e) b) -9 + (-14) d) 5 feet + 8 feet f) ) You buy a calculator for $95.99 and the tax rate is 8%. a) What is the tax? b) What is the total cost of the calculator? 12) You have a nice meal at a restaurant and wish to leave a 20% tip for the check of $ a) What is the tip? b) What is the total cost of the meal? 13) Fill in any appropriate symbol: >, <,, or a) 3 19 d) 7 7 b) e) -6-6 c) 12-5 f) ) Fill in the following chart: For the first three columns, we will use all possible numbers. For the last column, we will use the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 words inequalities interval notation at least 10 list the appropriate numbers at most 10 more than 10 fewer than 10 strictly between 5 and 10 between 5 and 7, inclusive no more than 5

4 15) Write interval notation for each of these: a) x 20 b) x < 15 c) 10 x 20 16) Using the set of whole numbers a) Give a number that makes x > 12 true. b) Give a number that makes x < 10 true c) Give a number on the interval: [ 4, 8 ). d) Assume that x is at least 12. Is 10 a possible value for x? 17) Practice with integers: a) d) 11 - (-4) g) (-3) (-6) j) -4 2 b) e) -20 / 5 h) (-5) k) (-4) 2 c) -5-9 f) - (-6) i) 30 / -10 l) 5-3 (-2) 18) Practice with fractions. Reduce to lowest terms. a) c) 2 3 e) / 3 2 b) 3 d) ) You currently have $5,000 and can earn 2% annual interest. a) Rewrite (.02) using the distributive property and factoring. b) Rewrite (.02) (.02) (.02) (.02) in a simpler way. c) Is the expression in (b) simple or compound interest? d) Rewrite 5000 (1.02) (1.02) (1.02) (1.02) a simpler way. e) Is the expression in (d) simple or compound interest? f) If you earn simple interest, write a mathematical expression that would find the amount you have after n years. g) If you earn compound interest, write a mathematical expression that would find the amount you have after n years.

5 20) How much will you have in your account if you deposit $2000 and it earns 2% interest compounded annually for 10 years? Consider the two accounts below for Problems ) Use what you know about simple and compound interest to explain the numbers you see listed for each account. Where do they come from? What do they mean? 22) Determine the amount in Account 1 after 5 years. How much interest was earned after 5 years? 23) Determine the amount in Account 2 after 5 years. How much interest was earned after 5 years? 24) Assuming the trend continues for each account, write a numerical calculation that will determine the amount in Account 1 after 20 years. 25) Assuming the trend continues for each account, write a numerical calculation that will determine the amount in Account 2 after 20 years.