Basic Math Questions and Answers

1 02330 2 88 04300 3 4500 4 00343 5 540500 5 4 3 1 0 022 x 59040 2 5 00 5 3404 CALCULATIONS USING SIGNIFICANT FIGURES 3 120 023 525 3 445 2229 4 66 01 13 89 x 80 5 65 0 0 009000 6 23920 x 1340 6 33 43 7 1 0330 8 525 000 9 9 300 x 104 10 0034300

THOD ow ER GAS ER 1 Phosphorus 2 ELEMENT 3 Zinc 4 Bromine 5 ATOMIC SYMBOL V W ELECTRON S C

12 Part 2 of 2 3 points Required information Prepare the current year income statement what is correct or incorrect for the work you have completed so far It does not indicate completion LEONE COMPANY Income Statement Sales Cost of goods sold Cost of goods manufactured Finished goods inventory beginning Gross profit Selling expenses Rent expense Salaries expense Net income For Year Ended December 31 Goods available for sale Less Finished goods inventory ending Cost of goods sold 33 3 X X 1 255 500 X 57 000 1 312 500 65 000 2 331 000 1 247 500 1 083 500 426 000 55 000 X 317 000 X 285 500 Return to q

Direct mail advertisers send solicitations junk mail to thousands of potential customers in the hope that some will buy the company s product The response rate is usually quite low Suppose a company wants to test the response to a new flyer and sends it to 1170 people randomly selected from their mailing list of over 200 000 people They get orders from 142 of the recipients Use this information to complete parts a through di DE a Create a 90 confidence interval for the percentage of people the company contacts who may buy something Round to one decimal place as needed b Explain what this interval means Submit quiz OA The company is 90 confident that the probability a randomly sampled person will respond to the flyer falls within the confidence interval bounds OB The values for the interval bounds should be subtracted from 90 to obtain the company s true confidence level OC The company is 90 confident that the percentage of people who will respond to the flyer falls within the confidence interval bounds OD The company is 90 confident that the percentage of people who will not respond to the flyer falls within the confidence interval bounds c Explain what 90 confidence means OA About 90 of all random samples of size 1170 will produce intervals that contain the true proportion of people who will respond to the new flyer OB About 90 of all random samples will produce intervals that contain the true proportion of people who will respond to the new flyer OC About 90 of all randomly sampled people will respond to the new flyer O D About 90 of all random samples of size 1170 will produce intervals that do not contain the true proportion of people who will respond to the new flyer d The company must decide whether to do a mass mailing The mailing won t be cost effective unless it produces at least a 6 return What does your confidence interval suggest

Find the chromatic number of each of the graphs given below

4 14 pts The life expectancy of a microwave oven is normally distributed with an average of 16 7 years and a standard deviation of 3 1 years Round all probabilities to 4 decimal places a Sketch and label a complete normal distribution for this situation include values of 30 I H 30 16 7 3 3 1 16 7 9 3 H 20 16 7 2 3 1 16 7 6 2 H o 16 7 3 1 13 6 years H 16 7 years H 0 16 7 3 1 19 8 years H 20 16 7 2 3 1 16 7 6 2 22 9 years H 30 16 7 3 3 1 16 7 9 3 26 0 years 7 4 years I 10 2 years I 7 4 10 5 12 7 13 6 16 7 b Find the probability of buying a microwave that lasts for more than 24 years Label this value shade in this area in the distribution above to show the connection to the probability you calculate P x 24 P z 2 35 1 P Z 2 35 0 0094 c Find the probability of buying a microwave that lasts for less than 13 years P x 13 P Z 1 19 1 P z 1 19 0 1170 center of distribution d Find the probability of buying a microwave that lasts between 12 and 19 years P 12 x 19 P 1 516 Z 0 74 P Z 0 74 P Z 1 516 0 7704 0 0643 x 16 7 3 1 0 7061 e If a microwave manufacturer only wants to replace 10 of their microwaves with their warranty about how long should their warranty period be Round to the nearest year Sketch label this area value on your distribution from part a to make the connection to the value you calculate P z 1 2816 0 10 Their warranty period should be about 13 years x 12 73 f How long do the top 1 of microwaves last Round to 2 decimal places 16 7 2 35 x 16 7 2 35 3 1 X 23 985 19 8 22 9 24 0 The top 1 microwaves will last for more than 23 99 years g The middle 50 of microwaves last for how many years note your solution is a range of values here Round to 2 decimal places 2

Marek invested PLN 4500 Polish z oty in a bank that paid interest per annum compounded quarterly After six years he had PLN 5179 27 in the bank Find the interest rale

In this chapter you learned about one of the major debates in macroeconomics between cas assical a ical and Keynesian economists whether or not the macroeconomy has a natural adjustment mechanism that brings the economy back to long run equilibrium Which of the following would classical economists believe and which of the following would Keynesian economists believe Items 5 items Drag and drop into the appropriate area below Supply is the key side of the market Categories The long run is the key time period Savings is crucial to economic growth Classical economists Cyclical unemployment is the norm Prices are sticky Keynesian economists

2 Calculating Z Scores Calculate the z scores to determine who scored better based on the following data a In 2020 you took your SATS and received a score of 1200 The average score was 1000 with a standard deviation of 100 In 2021 you took your SATS again and received a 1300 The average score was 1250 with a standard deviation of 50 Calculate the following data to determine if you did better on your SATS in 2020 or 2021 2020 1200 1000 100 2 2021 1300 1250 50 1 1 I

Calculate the following net price factors and net prices by using the complement method Round all answers to the nearest cent List Price Trade Discount Rate Net Price Factor Net Price 3 499 00 37 1 244 25 45 8

In 2012 the Pew Research Foundation reported that 45 of US adults report that they live with one or more chronic conditions However this value was based on a sample so it may not be a perfect estimate for the population parameter of interest on its own The study was based on a sample of 3014 adults Below is a distribution of 1000 bootstrapped sample proportions from the Pew dataset Pew Research Center 2013a 0 425 0 430 0 435 0 440 0 445 0 450 0 455 0 460 0 465 0 470 0 475 0 480 a Using the distribution of 1000 bootstrapped proportions approximate a 92 confidence interval for the true proportion of US adults who live with one or more chronic conditions b Interpret the interval in the context of the problem With 92 confidence the true proportion of all US adults who live with one or more chronic nd conditions is between

The half life of the radioactive element unobtanium 59 is 10 seconds If 176 grams of unobtanium 59 are initially present how many grams are present after 10 seconds 20 seconds 30 seconds 40 The amount left after 10 seconds is The amount left after 20 seconds is The amount left after 30 seconds is The amount left after 40 seconds is The amount left after 50 seconds is Round to one decimal place grams grams grams grams grams CIB

At least one of the answers above is NOT correct 1 point Determine whether each of the following statements is true or false 1 K4 4 is not planar n 2 K6 is not planar 3 Kg is not planar 4 K 3 3 is planar 5 K is planar

At least one of the answers above is NOT correct 2 of the questions remain unanswered Let V R and let H be the subset of V of all points on the plane 72 6y 4z 42 Is H a subspace of the vector space V 1 Does H contain the zero vector of V H does not contain the zero vector of V H is a subspace of V 2 Is H closed under addition If it is enter CLOSED If it is not enter two vectors in H whose sum is not in H using a comma separated list and syntax such as 1 2 3 4 5 6 3 Is H closed under scalar multiplication If it is enter CLOSED If it is not enter a scalar in R and a vector in H whose product is not in H using a comma separated list and syntax such as 2 3 4 5 4 Is H a subspace of the vector space V You should be able to justify your answer by writing a complete coherent and detailed proof based on your answers to parts 1 3 H is a subspace of V Note In order to get credit for this problem all answers must be correct Preview My Answers Submit Answers

Find the distance between the points 5 2 8 3 and 5 2 3 2 1 5 2 5 2 units unit s 8 3 3 2 SCLE

Draw a scatter diagram and find r for the data shown in the table Round r to three decimal places O No Solution 45 14 13 12 11 10 9 5 X 1 2 3 4 y 1 5 7 12 Clear All Delete Fill Graph Layers Point 1 Point 2 Point 3 Point 4

Find the regression line for the data points X 1 2 3 4 y 1 6 9 12

A new computer circuit was tested and the times in nanoseconds required to carry out different subroutines were recorded Difficulty Time 1 3 11 3 4 5 6 6 6 13 8 14 19 20 18 9 Find the regression line for the data Assume x is the difficulty level and y is the time Round your values to four decimal places y

V8 07 A V V1 B U2 C V3 D V4 E 05 F 06 V1 G 07 H V8 V6 2 Let S v2 v6 Which of the following vertices are in N S V2 V5 V3 VA

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places Z 0 50

a A n B nC Region b An B n Cc Region c A n BnC Region d An BnC Region A 1 4 2 5 7 6 3 B

Let R x C x and P x be respectively the revenue cost and profit in dollars from the production and sale of x items If R x 8x and C x 0 005x 4 9x 40 find each of the following a P x b R 150 C 150 and P 150 c R x C x and P x d R 150 C 150 and P 150 a P x Use integers or decimals for any numbers in the expression b R 150 Type an integer or a decimal C 150 Type an integer or a decimal P 150 Type an integer or a decimal c R x Type an integer or a decimal C x Use integers or decimals for any numbers in the expression P x Use integers or decimals for any numbers in the expression d R 150 per item Type an integer or a decimal C 150 per item Type an integer or a decimal P 150 per item Type an integer or a decimal

B of 13 Consider the interval 0 27 Find one exact solution of the equation 10 tan x 5 sec x Suggestion First multiply each side of the equation by cos x Express numbers in exact form Use symbolic notation and fractions where needed If the answer is given in degrees include the degree symbol X

Ronald Roth started his new job as controller with Aerosystems today Carole the employee benefits clerk gave Ronald a packet that contains information on the company s health insurance options Aerosystems offers its employees the choice between a private insurance company plan Blue Cross Blue Shield an HMO and a PPO Ronald needs to review the packet and make a decision on which health care program fits his needs The following is an overview of that information a The monthly premium cost to Ronald for the Blue Cross Blue Shield plan will be 43 34 For all doctor office visits prescriptions and major medical charges Ronald will be responsible for 25 percent and the insurance company will cover 75 percent of covered charges The annual deductible is 550 b The HMO is provided to employees free of charge The copayment for doctors office visits and major medical charges is 20 Prescription copayments are 10 The HMO pays 100 percent after Ronald s copayment There is no annual deductible c The POS requires that the employee pay 25 46 per month to supplement the cost of the program with the company s payment If Ron uses health care providers within the plan he pays the copayments as described above for the HMO with no annual deductible He can also choose to use a health care provider out of the network and pay 25 percent of all charges after he pays a 550 deductible The POS will pay for 75 percent of those covered visits Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices He visited his general physician five times during the year at a cost of 110 for each visit He also spent 66 and 90 on two prescriptions during the year Assume Ron visited a physician outside of the network plan but had his prescriptions filled at a network approved pharmacy If Ronald selects the POS plan what will his annual medical costs be Do not round intermediate calculations Round your answer to 2 decimal places T Personal annual cost

K 10 18 6 10 8 6 4 2 4 2 2 6 8 10 4 2 v 4 68 10 a Write an equation for the graph where y depends on I

Question 5 Write an equation for the graph below in terms of 3 2 1 y 3 2 2 3 i Jury

iven a line passes through point 10 3 and the origin find the equation of the line y

Finally which of the following is true Select an answer Consider the following two lines 6 Line 5 y 4 5 3 Line 6 y x 10 5 The slope of Line 5 is m The slope of Line 6 is m Finally which of the following is true Select an answer Consider the following two lines 5 Line 7 y 10 3 Line 8 y x 10 The slope of Line 7 is m The slope of Line 8 is m Finally which of the following is true Select an answer Question Help

4 Find the slope of the above graph

Question 6 Given a line passing through 1 4 and 8 2 which of the following is the corr line Om Om Om Om Om Om Om m 8 1 2 4 2 4 8 1 8 1 2 4 2 4 8 1 8 1 2 4 2 4 8 1 2 4 8 1 8 1 2 4

Use the equation z 5y 5 a Complete the table 0 y b Graph the two points you found in the table to graph the line 6 5 4 3 2 S the 3 N 1

Consider the function f x In this question we will use linear approximation to find a rational number that closely approximates 103 a The x value at which we begin the linear approximation of f x is at a b Our linear approximation to f x is L x c Thus 103 L 103

Problem 3 a Express the complex number 4 3 in the form a hi

Using Fig1a png Fig1b png and Fig1c png answer the following question For values of p near 0 5 e g 0 47 the binomial distribution is nearly Ol left skewed Il right skewed O III symmetric O IV none of the above

and y 24 2 3 3 Evaluate the expression when c 2y c Write your answer in simplest form 1 8 08

1 point If B m 7 Problem 17 101 1 1 2 1 1 1

1 point The determinant of the matrix is A 6 1 4 8 0 1 0 47 00 00 8 2 9 5

Assignm 7 Problem 5 1 point Find the determinant of the n x n matrix A with 6 s on the diagonal l s above the diagonal and 0 s below the diagonal det A 1

Assignm 7 Problem 10 1 point Use the appropriate property of determinants to find a Do not evaluate the determinants 5 23 5 5 23 5

Liam DeWitt ACCOUNT INFORMATION Account Number TRANSACTIONS 22 Aug 23 Aug 25 Aug 1 Sept 2 Sept 3 Sept 5 Sept 10 Sept 12 Sept SUMMARY 4 10700000 Propane Home Heat TJ Marsha s Department Store Brighton University Middle Island Auto Parts Payment Al s Mobal Gas Station Stop Shop and Go Federal Express Computer Depot Previous Balance 3 240 50 Total Credit Line Total Avalable Credit Credit Line for Cash Available Credit for Cash Payments Credits Transactions 5 000 00 5 000 00 4 000 00 4 000 00 Billing Date Late Charge 50 00 Average Daily Balance Finance Charge West Chester OH 13 Sept Payment Due Days in Baling Cycle 30 30 Sept DEBITS CREDITS New Balance APR 250 50 87 60 1 300 00 470 63 2 000 00 19 8 34 76 102 71 45 90 848 60 Minimum Payment 50 00 Monthly Periodic Rate a How many purchases debits were made during the billing cycle b What is the sum of all purchases debits made during the billing cycle c When is the payment for this statement due d What is the minimum amount that can

True False Indicate whether the statement is true or false 1 Base Metal is the metal to be welded or cut 2 A crater is the depression at the start of the weld 3 Under cut is when you cut a piece of metal to short 4 Arc length is the distance between the electrode and the metal being welded 5 You don t need to clean the metal after each weld if you turn the amperage up because the heat will remove all impurities 6 When grinding it is important to know where the sparks are being directed for safety reasons 7 Burns can be caused by ultraviolet light rays 8 When SMAW your helmet should be set between 3 6 9 Damage to your hearing caused by high sound levels is permanent and may not be detected until later in life 10 It is important to maintain a close arc length consistant travel speed and proper electrode angle to create a quality weld 11 When your weld is skinny its because your travel speed was to slow 12 Porosity is caused when the metal isnt cleaned properly arc lenght is to large the flux on the rod is missing and when the rod has moisture in it 13 Any physical movement while welding will cause an irregularity in the finished weld 14 When stick welding you can push or drag the weld 15 SMAW machines require a constant current power source 16 Duty Cycle is the operating time the welding machine can weld without overheating damaging the machine 17 Welding in the Flat position is the most difficult of the 4 basic positions 18 When welding in Horizontal Vertical or Overhead you must adjust the electrode angle Travel Speed and other variables to compensate for gravity

Marlie will be starting college next month She was approved for a 10 year Federal Unsubsidized student loan in the amount of 18 800 at 4 29 She knows she has the option of beginning repayment of the loan in 4 5 years She also knows that during this non payment time interest will accrue at 4 29 Marlie has to decide whether she can afford to make interest only payments for the first 4 5 years or defer all payments for that period of time If she decides to make no payments during the 4 5 years the interest will be capitalized at the end of that period Suppose Marlie decides to defer the payments a What will be the new principal when she begins making loan payments

5 2 pts Fill in SIX equal sections in a spinner so that the probabilities below will all be true for you spinner you can use the same info in more than one section if appropriate P cat dog hamster cow T Rex eagle 1 P animal doesn t naturally fly 5 6 P extinct animal 0 P common household pet 1 2 P 3 letter word 4 6

2 How many days is a stunt driver licence suspension Ref How long is the impound for a motor vehicle for Stunt Driving Ref Who is responsible for payment after the motor vehicle is release from the impound Ref 3 marks

Practice Problem Solving Find the value of each variable and the measure of each labeled angle 44 3x 6 2x 22 45 4x y 46 Construct Arguments Write a proof Given m TUV 90 Prove x 12 T yo 2x 32 U 3x 5 WA 42 V 47 Construct Arguments Write an indirect proof by proving the contrapositive Given GJ 48 2x H Ou

The area of a rectangle is 44 m and the length of the rectangle is 3 m less than twice the width Find the dimensions of the rectangle Length m 010 8 X

Find the angle 0 in the taper shown in figure below The front face is an isosceles trapezoid 4 50 cm A 30 deg B 35 deg D 25 deg 40 deg 4 90 cm 1 86 cm S 0 S H 19 1 Fig 4 52 www Copyright 2015 Pearson Canada Inc X after due date Time limit 240 minutes Automatic s Attempts 3 attempts left Grading Maximum points Description Please review the following detail for Assignment Read the quest check what is being asked Select closest answer 3 attempts allow recorded Time limit 4 hrs Due 8 00 AM Please attach scan cop sheet at the end of the Assignmen deducted if calculation scan file is and drop the calculation file in the box

What is the circumference of the Arctic Circle Latitude 66 32 N The radius of the earth is 6370 km 15 940 km B 15 825 km 15 470 km 15 290 km R 66 32 D X

A ground observer sights a weather balloon to the east at an angle of elevation of 15 A second observer 2 35 km to the east of the first observer also sights the same balloon at an angle of elevation of 24 How high is the balloon A 1 58 km B 1 42 km 1 71 km D 1 84 km 15 0 2 35 km 24 0 Fig 4 81 Copyright 2015 Pearson Canada Inc

Question 2 of 13 t exactly Give an exact answer Use symbolic notation and fractions where needed Let s be an acute angle and sin s Find the value of cot 9 cot