Basic Math Questions and Answers

Choose which reasoning process is shown in the following example Explain your answer An HMO does a follow up study on 1329 randomly selected patients given a flu shot None of these people became seriously ill with the flu The study concludes that all HMO patients be urged to get a flu shot in order to prevent a serious case of the flu B Choose the correct answer below OA It is deductive reasoning because additional information may prove that other patients may not have taken the flu shot and still did not catch a serious case of the flu B It is deductive reasoning because a general conclusion is drawn based on specific observations C It is inductive reasoning because a general conclusion is drawn based on specific observations D It is inductive reasoning because the flu is epidemic If someone does not take the flu shot there is a great possibility for that person to catch a serious case of the flu

A SCHOLARSHIPS FOUR OF EIGHT FINALISTS WILL BE SELECTED AND AWARDED 10 000 SCHOLARSHIPS IN HOW MANY WAYS CAN THIS SELECTION BE MADE B PRIZES A TEACHER DECIDES TO GIVE SIX DIFFERENT PRIZES TO SIX OF THE 30 STUDENTS IN HER CLASS IN HOW MANY WAYS CAN SHE DO SO

Rewrite this number in appropriate scientific notation 905

Betsy a recent retiree requires 6 000 per year in extra income She has 70 000 to invest and can invest in B rat bonds paying 15 per year or in a certificate of deposit CD paying 7 per year How much money should be invested in each to realize exactly 6 000 in interest per year The amount of money invested at 15 The amount of money invested at 7

What percent of 200 is 190

What is the probability that either event A or event B will occur Start by finding the probability of event A 4 19 3 19 A 10 19 P A B 2 19 19

The impulse response of the discrete causal system is y n 2y n 1 3x n 1 is 01 h n 3 2n 2u n 2 O 2 h n 32 22n 1u n 1 O 3 None of the answers 4 h n 3 2 1u n 1 h n Ek 2 1u n 1 O 5

The minimum sampling rate necessary to reconstruct the sampled version of the signal 10 cos 60nt 5 sin 120nt 7 is x t O 1 60 samples sec O 2 None of the answers O 3 180 samples sec O 4 240 samples sec O 5 120 samples sec

5 The integration 10 cos 4nt t 1 dt 5 8 O 1 10 O 2 40 O 3 None of the answers O 4 40pi O 5 20pi

The sinusoidal steady state response of a discrete linear shift invariant system is also sinusoidal and have the same frequency of the discrete input sinusoid O True O False

8 The Fourier series coefficients X of the signal x t E co 106 2t 0 5n is 01 10 8f 0 5n 02 20 008 f 4n O 3 10 8f 0 25n O 4 None of the answers O 5 2 5 8f 4n

An FIR system direct Form l realization has direct input sequence and feedback output sequence branches O True O False

1 A landscaper planted 7 flats of impatiens 12 8 3 flats of snapdragons and 13 flats of phlox 1 6 How many flats did she plant altogether She plant altogether flats Simplify your answer Type a mixed numeral if possible C

As of June 30 Year 2 the bank statement showed an ending balance of 17 811 The unadjusted Cash account balance was 17 479 The following information is available 1 Deposit in transit 2 745 2 Credit memo in bank statement for interest earned in June 22 3 Outstanding check 3 062 4 Debit memo for service charge 7 Required Determine the true cash balance by preparing a bank reconciliation as of June 30 Year 2 using the preceding information Note Negative amounts should be indicated with minus sign Bank Reconciliation Unadjusted bank balance 6 30 Year 2 Add Deposit in transit Less Outstanding check True cash balance 6 30 Year 2 Unadjusted book balance 6 30 Year 2 Less Outstanding check True cash balance 6 30 Year 2 S 17 479 2 745 3 062 17 162 17 479 17 479

1 Draw the logical circuit for F AB B C 2 Draw a diagram for F ABC ABC a For the original form b For the most possible simplified form 3 Find a logical equation for the following circuit A

The following data apply to Pro Beauty Supply Incorporated for May Year 2 1 Balance per the bank on May 31 11 995 2 Deposits in transit not recorded by the bank 1 800 3 Bank error check written by Best Beauty Supply was charged to Pro Beauty Supply s account 800 4 The following checks written and recorded by Pro Beauty Supply were not included in the bank statement 3013 3054 3056 240 520 1 520 5 Note collected by the bank 600 6 Service charge for collection of note 13 7 The bookkeeper recorded a check written for 688 to pay for the May utilities expense as 598 in the cash disbursements journal 8 Bank service charge in addition to the note collection fee 40 9 Customer checks returned by the bank as NSF 144 Required Determine the amount of the unadjusted cash balance per Pro Beauty Supply s books Answer is complete but not entirely correct 17 100

4 What is the minimum time Critical path that the project can be completed by for the following CPM network diagram A 4 days 3 days B 8 days D 4 days Professor Dr M G Attara PE PhD E 9 days 6 days G 7 days

2 An embankment having a volume of 420 000 yd3 is to be constructed from local borrow The dry unit weight and moisture content of the borrow material were determined to be 200 pcf and 20 respectively The embankment material has a total unit weight of 300 pcf and a moisture content of 15 The volume of borrow yd3 needed to construct the embankment is most nearly

7 elevation of BM2 is most nearly a 109 53 ft b 117 85 ft c 124 47 ft d 24 47 ft BS Based on the information provided in Figure 1 the BS FS 10 88 2 56 T LILI 7 64 BM Elev 300 00 FS 3 11 TP BS 9 72 FS TP 3 10 not to scale BM

3 A work task has a current cost of 6 000 with a budget cost at this same point of 4 000 The total budget or this task is 9 000 The estimated cost at completion for this task is most nearly

Listed below are the numbers of unprovoked shark attacks worldwide for the last several years Why is it that a dotplot of these data would not be very effective in helping us understand the data Which of the following graphs would be most effective for these data dotplot stemplot time series graph Pareto chart pie chart frequency polygon 70 54 68 82 79 83 76 73 98 81 0 Why is it that a dotplot of these data would not be very effective in helping us understand the data OA Even though the data are numeric they are actually categorical data because each value is discrete B The data set is too small for a dotplot to reveal important characteristics of the data OC The spread of the data is very small so it would be nearly impossible to see any differences when represented graphically OD There are several duplicate values in the data and most graphical methods cannot accurately show duplicate values Which of the following graphs would be most effective for these data dotplot stemplot time series graph Pareto chart pie chart frequency polygon OA A dotplot would be most effective since it is important to be able to recreate the original list of values OB A Pareto chart would be most effective since the data are categorical data OC A stemplot would be most effective since it is important to be able to recreate the original list of values D A time series graph would be most effective since the data are listed in order over a period of several years OE A pie chart would be most effective since the data are categorical data OF A frequency polygon would be most effective since the data are listed in order over a period of several years 4

what is the elevation of the highest contour line shown on the map below x 10 788 10 500 O a 10000m O b 10688m C 10799m 10 000

1 A loader has a full bucket capacity of 10 yd3 and the average time required to place one bucketload of soil into a truck is 1 min The loader is supported by four trucks with a volume of 50 yd3 each and a cycle time of 12 min plus the time to load the truck The ideal productivity yd3 hr of this system is most nearly

dy t dt Given the system 2 2cos 2t is O 4 3y t 10x t the steady state response of the system O 1 The system does not have a steady state response 2 y t 10cos 0 5t tan 4 O 3 TE y t 20cos 2t 4 tan tan TT y t 4cos 2t 05 y t 20cos 2t 1 2 tan

Southern Environmental Consulting SEC Inc designs plans and specifications for asbestos abatement removal projects in public private and government buildings Currently SEC must conduct an air test before allowing the occupancy of a building after the asbestos has been removed SEC subcontracts air test samples to a laboratory for analysis by transmission electron microscopy TEM To offset the cost of TEM analysis SEC charges its clients 125 more than the subcontractor s fee The only expenses in this system are the costs of shipping the air test samples to th subcontractor and the labor involved in shipping the samples With the growth of the business SEC must consider eith continuing to subcontract the TEM analysis to outside companies or developing its own TEM laboratory Because of the passage of the Asbestos Hazard Emergency Response Act AHERA by the U S Congress SEC expects about 1 000 air sample tests per year over eight years The firm s MARR is known to be 7 Click the icon to view the description of alternatives Click the icon to view the interest factors for discrete compounding when MARR 7 per year a Determine the cost of an air sample test by the TEM laboratory in house

Mike McKinney Corporation had accounts receivable of 100 000 at 1 1 The only transactions affecting accounts receivable were sales of 600 0 and cash collections of 550 000 The accounts receivable turnover is a 6 0 b 4 4 C 4 8 d 4 0

If a company employs the gross method of recording accounts receivable from customers then sales discounts taken should be reported as O a a deduction from accounts receivable in determining the net realizable value of accounts receivable O b an item of other expense in the income statement C a deduction from sales in the income statement O d sales discounts forfeited in the cost of goods sold section of the income statement Clear my choice

Mike McKinney Corporation had accounts receivable of 100 000 at 1 1 The only transactions affecting accounts receivable were sales of 600 000 and cash collections of 550 000 The accounts receivable turnover is O a 6 0 O b 4 4 O c 4 8 O d 4 0

Noor Corporation reports the following information Net income 750 000 Dividends on common stock 210 000 Dividends on preferred stock 90 000 and Weighted average common shares outstanding 200 000 Noor should report earnings per share of a 3 30 O b 3 75 O c 2 25 O d 2 70 Clear my choice

The effect of collection of accounts receivable on a statement of cash flows is O a Cash provided used by financing activities O b Not a cash flow C Cash provided used by investing activities d Cash provided used by operating activities Clear my choice

Answer saved Marked out of 1 00 The net income of Bright corporation during 2020 was 500 000 The corporation had 100 000 shares of common stock authorized and 50 000 shares issued and outstanding during 2020 The earnings per share is a 10 per share O b 0 10 per share Oc 5 per share O d 0 20 per share Clear my choice

Lara Corporation reports Cash provided by operating activities 320 000 Cash used by investing activities 110 000 Cash provided by financing activities 140 000 and Beginning cash balance 90 000 What is Lara s ending cash balance O a 660 000 O b 410 000 O c 570 000 Od 440 000 Clear my choice P Flag question Previous page Next page 1 8 15 22 29 2 50 9 3 10 16 17 23 24 30 31 36 37 38 43 44 45 Finish attempt

F Fla Jaser Company will invest 300 000 today The investment will earn 6 for 5 years compound interest with no funds withdrawn In 5 year compound interest the amount in the investment fund is O a 300 000 O b 402 087 O c 401 468 O d 390 000

Mansour company sold toys listed at 360 per unit to Salam company on account a trade discount of 15 Salam should record the accou payable per unit at O a 360 O b 335 O c 285 O d 306 Clear my choice

The total sales of National company to its customers last year amounted to 15 720 000 sales returns and allowances were 370 000 sales discounts were 175 000 and freight outwas 140 000 Net sales last year for National Company were O a 15 720 000 Ob 15 175 000 O c 15 035 000 O d 15 350 000

Sandler Company has the following account balances at year end Accounts receivable 80 000 Allowance for doubtful accounts 4 800 and Sale discounts 3 200 Sandler should report accounts receivable at a net amount of O a 75 200 O b 80 000 O c 72 000 O d 76 800

Alpha Corporation reports the following information Net income 500 000 Dividends on preferred stock 60 000 and Weighted average commor shares outstanding 200 000 Alpha should report earnings per share of Oa 1 80 O b 2 20 O c 1 50 O d 2 50

PFlag question Haya wants to withdraw 30 000 each year for 10 years from a fund that earns 8 interest How much must she invest today if the first withdrawa takes place immediately O a 234 799 16 O b 201 302 44 O c 217 406 63 O d 298 712 25

Presented below is information related to Vienna Company at December 31 2020 the end of its first year of operations Sales revenue 500 000 Cost of goods sold 240 000 Selling and administrative expenses 60 000 and loss on sale of plant assets 15 000 Income from operations is 300 000 a O b 260 000 O c 185 000 O d 200 000

Financial information exhibits the characteristic of consistency when a a company applies the same accounting treatment to similar events from period to period Ob accounting procedures are adopted which give a consistent rate of net income O c extraordinary gains and losses are not included on the income statement O d expenses are reported as charges against revenue in the period in which they are paid

The process of identifying measuring analyzing and communicating financial information needed by management to plan evaluate and cont an organization s operations is called O a auditing O b financial accounting O C tax accounting O d managerial accounting

Which of the following is a fundamental quality of useful accounting information a Faithful representation b Comparability C Conservatism d Consistency

Not yet answered Marked out of 1 00 Tamer needs 25 000 in 4 years What amount must he invest if his investment earns 12 annual interest compounded quarterly O a 20 222 65 O b 15 579 17 O c 19 524 36 O d 16 046 54

The effect of issuance of common stock for cash on a statement of cash flows is a Cash provided used by operating activities b Cash provided used by investing activities C Not a cash flow d Cash provided used by financing activities Clear my choice

Moon Corporation reports the following information Correction of understatement of depreciation expense in prior years net of tax 1 290 000 Dividends declared 960 000 Net income 3 000 000 and Retained earnings 1 1 20 as reported 6 000 000 Moon should report retained earnings 1 1 20 as adjusted at O a 9 330 000 O b 7 290 000 O c 4 710 000 O d 6 000 000

Superman invested 15 000 today in a fund that earns 8 compounded semiannually To what amount would the investment grow in 3 year Oa 20 407 33 b 18 979 78 Hag qu O c 17 496 O d 18 895 68

Which of the following is an ingredient of faithful representation O a Confirmatory value O b Neutrality O c Predictive value O d Materiality

Poline Corporation reports the following information Net cash provided by operating activities 335 000 Average current liabilities 150 000 Average long term liabilities 100 000 Dividends paid 60 000m Capital expenditures 110 000 Payments of debt 35 000 Poline s free cash flow is O a 225 000 O b 275 000 Oc 165 000 O d 130 000

Peter Company reported the following information for 2020 Sales revenue 510 000 Cost of goods sold 350 000 Operating expenses 55 000 and Unrealized holding gain on available for sale securities 40 000 For 2020 Peter would report other comprehensive income of O a 135 000 O b 40 000 O c 42 000 O d 137 000

Preparing the statement of cash flows involves all of the following except determining the O a cash collections from customers during the period O b cash provided by operations O c cash provided by or used in investing and financing activities O d change in cash during the period