Basic Math Questions and Answers

Chan s new balance is 567 89 He made a payment of 123 45 He made a purchase of 89 00 The finance charge was 2 34 What was the previous balance

While your instructor was lecturing what happened outside the window house A kid fell off a bike A small fender bender between two cars Amazon prime delivery interrupted the lecture with a package A bird landed on the window pane

a Find the class width Recall that the class width is computed by finding the difference of the largest data value and the smallest data value and dividing that difference by the desired number of classes Here we are asked to use five classes Therefore we have the following class width Now examine the data set and determine the largest and smallest data values Percent Male Students Enrolled in Coed Universities and Colleges 33 41 51 49 42 51 55 45 47 28 41 81 47 52 38 47 47 51 41 50 56 52 45 44 40 33 51 43 44 60 40 57 47 69 V The largest data value is 81 largest data value smallest data value desired number of classes 48 55 51 48 47 48 51 46 55 35 54 65 39 43 53 46 Step 3 largest data value smallest data value 7 5 X Step 2 Substitute the largest data value 81 and the smallest data value 28 into the formula for finding the class width for five classes and simplify the result largest data value class width 10 6 81 28 First class Third class 5 Second class The result is not an integer but it is illogical to talk about a fraction of a student Here to ensure the classes cover all the data we should round this value up to the next whole number Doing this allows us to state that the class width is 11 11 Fourth class b Make a frequency table showing class limits class boundaries midpoints frequencies relative frequencies and cumulative frequencies 5 Recall that a frequency table partitions data into classes or intervals of equal width The process of creating a frequency table has many steps First we will create the five distinct classes Determine all lower and upper class limits knowing that the smallest value is 28 the largest value is 81 and the class width is 11 39 ng 81 and the smallest data value is 28 smallest data value 28 10 6 50 61 Lower class limit Upper class limit 28 38 60

The following data represent baseball batting averages for a random sample of National League players near the end of the baseball season 195 126 0 195 0 257 0 191 0 290 0 159 0 294 216 0 126 0 106 0 259 0 308 0 308 0 275 0 216 0 251 0 245 0 259 0 264 0 183 a Multiply each data value by 1 000 to clear the decimals Keep data values in the same order they appear in the table above 257 106 X 251 Class Limits 191 X 259 245 290 308 259 0 260 0 249 0 182 0 286 0 316 0 253 0 114 0 199 159 308 264 100 294 275 183 Class Boundaries Midpoint Frequency 260 286 114 b Use the standard procedures of this section to make a frequency table with your whole number data Use five classes 249 316 199 182 253

The Sugar Sweet Company delivers sugar to its customers Let C be the total cost to transport the sugar in dollars Let S be the amount of sugar transported in tons The company can transport up to 20 tons of sugar Suppose that C 130S 1500 gives C as a function of S Identify the correct description of the values in both the domain and range of the function Then for each choose the most appropriate set of values 5 Domain Range Description of Values O amount of sugar transported in tons O cost to transport sugar in dollars O amount of sugar transported in tons O cost to transport sugar in dollars Set of Values Choose one Choose one

sample of 50 such institutions give the following data Percent Male Students Enrolled in Coed Universities and Colleges 33 41 51 49 42 51 55 45 47 28 41 81 47 52 38 47 47 41 50 56 52 45 44 40 33 51 43 44 60 40 57 47 69 51 48 55 51 48 For this problem use five classes a Find the class width c Draw a histogram Step 1 b Make a frequency table showing class limits class boundaries midpoints frequencies relative frequencies and cumulative frequencies d Draw a relative frequency histogram e Categorize the basic distribution shape f Draw an ogive a Find the class width 47 48 51 46 55 35 54 Recall that the class width is computed by finding the difference of the largest data value and the smallest data value and dividing that difference by the desired number of classes Here we are asked to use five classes Therefore we have the following class width largest data value smallest data value desired number of classes largest data value smallest data value 51 41 50 Now examine the data set and determine the largest and smallest data values Percent Male Students Enrolled in Coed Universities and Colleges 33 41 51 49 42 51 55 45 47 28 41 81 47 52 38 47 48 55 51 The largest data value is 56 52 45 48 44 40 5 65 39 43 53 46 33 51 43 47 48 51 46 55 35 54 44 60 40 57 47 69 65 39 43 53 46 47 an and the smallest data value is e is

Convert the decimal number 0 008 to a whole number percentage

Convert the decimal number 0 007 to a whole number percentage

Convert the decimal number 0 473 to a whole number percentage

The Pie Emporium cuts its Boston cream pies into 8 slices If diners at a table order 5 slices of Boston cream pie for dessert what percentage of a pie did they consume Round the answer to the nearest whole percentage Simplify your answer completely

Convert the decimal number 0 946 to a whole number percentage

Convert the fraction 8 to a whole number percentage 54

Convert the fraction X 415 1 245 to a whole number percentage

Convert the decimal number 0 958 to a whole number percentage X

et screet heate Stude Teacher Unit 2a Trigonometry similar triangles Grade 1 Find a situation that can be modeled using similar triangles ni 05 14

A manager must decide how many machines of a certain type to buy The machines will be used to manufacture a new gear for which there is increased demand The manager has narrowed the decision to two alternatives buy one machine or buy two If only one machine is purchased and demand is more than it can handle a second machine can be purchased at a later time However the cost per machine would be lower if the two machines were purchased at the same time The estimated probability of low demand is 30 and the estimated probability of high demand is 70 The net present value associated with the purchase of two machines initially is 75 000 if demand is low and 130 000 if demand is high The net present value for one machine and low demand is 90 000 If demand is high there are three options One option is to do nothing which would have a net present value of 90 000 A second option is to subcontract that would have a net present value of 110 000 The third option is to purchase a second machine This option would have a net present value of 100 000 How many machines should the manager purchase initially

primary A producer of pottery is considering the addition of a new plant to absorb the backlog of demand that now exists being considered will have fixed costs of 7 400 per month and variable cost of 50 cents per unit produced Each item is sold to retailers at a price that averages 77 cents Round all answers to a whole number a What volume per month is required in order to break even Volume per month b What profit would be realized on a monthly volume of 51 000 units 67 000 units profits at volume of 51 000 profits at volume of 67 000 c What volume is needed to obtain a profit of 10 000 per month Volume d What volume is needed to provide a revenue of 30 000 per month

The following diagram shows a 4 step process that begins with Operation represent the effective capacity of that operation 11 hr 10 hr Operation 1 Operation 2 a Determine the capacity of this process Capacity per hour 12 hr Operation 3 18 hr Operation 4 b Which action would yield the greatest increase in process capacity 1 increase the capacity of Operation 1 by 12 percent 2 increase the capacity of Operation 2 by 14 percent or 3 increase the capacity of Operation 3 by 10 percent

A new machine will cost 24 000 but it will result in a savings of 4 000 per year What will the payback time be in years

A firm plans to begin production of a new small appliance The manager must decide whether to purchase the motors for the appliance from a vendor at 11 each or to produce them in house Either of two processes could be used for in house production Process A would have an annual fixed cost of 200 000 and a variable cost of 6 per unit and Process B would have an annual fixed cost of 165 000 and a variable cost of 7 per unit Determine the range of annual volume for which each of the alternatives would be best Round your first answer to the nearest whole number Include the indifference value itself in this answer For annual volumes of purchase from the vendor or less is best For annual volumes above that amount process A process B is best

3 Consider the sets A red green blue B red yellow orange C red orange yellow green blue purple Find the following 1 Find A U B 2 Find An B 3 Find An C 4 Consider the sets A red green blue B red yellow orange C red orange yellow green blue purple Illustrate the VENN DIAGRAM for the following 1 Find A U B 2 Find An B find 45o

5 During March the business completed the following transactions Please use straight depreciation method for this case Please record the financial transactions and show adjusted trial balances 62 points a Borrowed 45 000 from the bank with Calderon signing a note payable in the name of the business 500 b Purchased supplies on credit 2300 Performed customer service and earned revenue on account 4 600 c d f i j Paid 200 on account Paid the following cash expenses salaries 5 000 rent 2 500 and interest Received 3 100 on account Received a 200 utility bill that will be paid next week Pruchased a computer workstation on credit 5000

9 Bir manav n g n i erisinde satt domates biber ve patl can ile ilgili a a da verilen Birmanavn esaus miundo salti i domates biber ve patlican 1 grafik Sat miktarlar n n da l m n ile ilgili a a da verilen grafik Sat miktarlar n n da l m n 2 grafik Sat miktarlar n 1 grafik g stermektedir Domates 150 Biber 120 Patlican 80 2 grafik Sat miktar kg a b 80 b Samil kg Domates Buna g re a b toplam ka t r A 106 B 112 C 120 Patlican Biber D 126 r nler r nler E 132

0 76 0 76 Determine the probability that the system will operate under each of these conditions a The system as shown Do not round your intermediate calculations Round your final answer to 4 decimal places Probability b Each system component has a backup with a probability of 76 and a switch that is 100 percent reliable Do not round your intermediate calculations Round your final answer to 4 decimal places Probability c Each system component has a backup with a probability of 76 and a switch that is 97 percent reliable Do not round your intermediate calculations Round your final answer to 4 decimal places

A product is composed of four parts In order for the product to function properly in a given situation each of the parts must function Two of the parts have a 0 88 probability of functioning and two have a probability of 0 74 What is the overall probability that the product will function properly Round your answer to 4 decimal places Probability

A system consists of 4 identical components In order for the system to perform as intended all of the components must perform Each has the same probability of performance If the system is to have a 0 82 probability of performing what is the minimum probability of performing needed by each of the individual components Round your answer to 4 decimal places

For the scenario given determine the smallest set of numbers for its possible values and classify the values as either discrete or cont the number of rooms vacant in a hotel Choose the smallest set of numbers to represent the possible values O integers irrational numbers Onatural numbers Orational numbers Oreal numbers whole numbers Are the values continuous or discrete continuous

For the scenario given determine the smallest set of numbers for its possible values and classify the values as either discrete or c the number of presidents in U S history Choose the smallest set of numbers to represent the possible values O integers irrational numbers Onatural numbers Orational numbers Oreal numbers Owhole numbers Are the values continuous or discrete continuous

A group of numbers is given Choose the correct number line for the group of numbers being plotted the whole numbers less than 4 including 4 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 7 6 5 4 3 2 1 0 1 2 4 5 6 7 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8

20 Ben va 21 Cameryn y Moon 22 D nde 23 Tu 24 Sara y yo 25 Austin va tomas recibe 26 Autumn y Michelle 27 Ustedes 28 T y Aneesa 29 Yo somos van leen escriben corren mucho en la clase de ingl s escrib Simion los viernes ir caf por las ma anas tomar buenas amigas ser buenas notas recibir despu s de la escuela correr a leer en la biblioteca o en la clase ir muchos libros leer en la bilbioteca con Micah los martes leer

A group of numbers is given Choose the correct number line for the group of numbers being plotted the integers between 3 and 3 including 3 and 3 5 4 3 2 1 0 1 2 3 S 3 2 1 0 2 3 4 5 5 4 3 2 0 2 3 4 S

Determine the distance between the two given numbers Simplify your answer completely 18 and 2

Choose the correct number line for the number being plotted 50 7 6 5 4 3 2 1 0 1 2 3 7 6 5 4 3 2 1 0 1 2 3

3 f x 5x 21x 21x 5 x 5 5x 641 4 f x 10x 37x 37x 6 5x 1 4

Consider the following group of numbers 6 4 8 3 14159265 0 6 7 17 List the integers Enter your answers as a comma separated list Round your answers to eight decimal places as neede

Rewrite the group of numbers ordered from least to greatest Enter your answers as a comma separated list 6 7 3 0 6 7

Choose the correct number line for the number being plotted 5 9 8 7 6 5 4 3 2 0 0 1 2 3 4 5 6 7 8 9

Classify the statement as true or false If it is false give a reason why it is false The smallest whole number is 1 True False O is the smallest whole number False There is no smallest whole number False The smallest whole number is 1 False 1 is not a whole number

Solve the equation Enter your answers as a comma separated list Simplify your answers comple 19x 81 28 X Suggested tutorial Learn It Sol

Write the slope intercept equation of the line that passes through the given points 1 9 2 13

Write the point slope equation of the line with the given slope that passes through the given point Solve the equation for y m 9 1 7

7 O No Solution y 8 10 9 8 7 6 5 4 3 2 1 10 6 8 7 6 5 3 2 t 7 2 34 4479 6 N 02 4 5 6 7 8 9 10 Fill Gi A ca pre

Solve the inequality State the result in interval notation Simplify your answer completely If there is no solution enter NO SOLUTION 3 b 2 5 3 5 Graph the solution set Use the tools to enter your answer

Perform the operation 4 610 718 X

Perform the operation Enter your answer as a simplified proper fraction simplified improper fraction or integer 39 65 3 26

Perform the operation 99 33

Simplify the complex fraction 6 7

Perform the operation Enter your answer as a simplified proper fraction simplified improper fraction or intege 7 10 1 18

A manufacturer of portable tools has three sets Basic Homeowner and Pro which must be painted assembled and packaged for shipping The following table gives the number of hours required for each operation for each set Basic Painting 1 1 Assembly 0 7 Packaging 0 8 Homeowner 1 9 din 00 15 0 8 Pro 2 8 2 21 1 If the manufacturer has 126 6 hours for painting per day 92 2 hours for assembly per day and 54 4 hours for packaging per day How many sets of each type can be produced each day The manufacturer can produce Basic sets Homeowner sets and

Use inverse matrices to find the solution of the system of equat fa I 2y 15 27 5y 33 What is the coefficient matrix for this system 36 What is the constant matrix for this system What is the solution to the system as an ordered pair