Mathematical Reasoning Questions and Answers

Question 20 12 2 79 HW Sc points O Po hat a hospital wants a patient to have a meal that has 76 grams of pro s of vitamin A The hospital food service tells the dietitian that the din uash Each serving of salmon steak has 20 grams of protein 30 gram ving of baked eggs contains 20 grams of protein 1 gram of carbohyd of acorn squash contains 3 grams of protein 20 grams of carbohydrate of each food should the dietitian provide for the patient CELE ny servings of each food should the dietitian provide Select the corre our choice

a the annual interest rate X For the investment situation below identify the annual interest rate the length of the investment in years the periodic interest rate and the number of periods of the investment 12 compounded quarterly for 6 years b the length of the investment in years 6 yr c the periodic interest rate TES d the number of periods of the investment PRAC

4 A small manufacture 15 decrease in the m chairs it was producing

Use the simplex method to solve subject to with 21 2 2Y3 Y1 y2 Y3 12 3y1 y2 49 Y 20 y 20 y3 20 The minimum is w when y Y2 and y3 Simplify your answers

A poll of 1182 teens aged 13 to 17 showed that 53 of them have made new friends online Use a 0 01 significance level to test the claim that half of all teens have made new friends online Use the P value method Use the normal distribution as an approximation to the binom distribution Let p denote the population proportion of all teens aged 13 to 17 who have made new friends online Identify the null and alternative hypotheses Ho P H p Type integers or decimals Do not round

1 3 1 6 x 4 State your answer using interval notation Use UI for union and 0

to cor uct research to determine if car rental company X is more expensive than car rental company Y to rent a mid size car for a weekend To do this he randomly selects six locations where both car rentals are located and determines the rental cos as shown in the table Location X Y A 493 450 B 185 182 C 322 322 Ho H Type integers or decimals Do not round D 398 390 E 305 350 F 350 350 Suppose the researcher computes the difference as difference X Y Based on this determine the null and alternative hypotheses

Current Attempt in Progress In the Assembly Department of Hannon Company budgeted and actual manufacturing overhead costs for the month of April 2020 were as follows Indirect materials Indirect labor Utilities Supervision Budget 14 200 19 100 11 400 4 600 Controllable Cost Actual 13 700 19 900 12 100 4 600 All costs are controllable by the department manager Prepare a responsibility report for April for the cost center Budget HANNON COMPANY Assembly Department Manufacturing Overhead Cost Responsibility Report For the Month Ended April 30 2020 Actual Fi Un Neith nor l

For its three investment centers Gerrard Company accumulates the following data Sales Controllable margin Average operating assets 2 100 000 1 470 000 5 021 000 11 4 008 000 2 004 000 7 914 000 The expected return 3 911 000 3 519 900 12 150 000 The centers expect the following changes in the next year I increase sales 12 II decrease costs 448 000 III decrease average operating assets 542 000 Compute the expected return on investment ROI for each center Assume center I has a controllable margin percentage of 70 Round ROI to 1 decimal place eg 1 5 11 111

Quantity 3 16 10 O 14 40 164 Price 112 35 29 23 17 Total Revenue 35 64 120 99 80 Average Revenue 32 11 8 Marginal Revenue 29 17 11 Refer to Table 15 1 If the monopolist sells 8 units of its product how much total revenue will it receive from the sa S 1 S 7 S 13

Willy Wonka gives everyone who visits his factory 13 pieces of candy to take home He never gives a person 2 or more pieces of the same type of candy If Mr Wonka has 27 different types of candy in how many different ways could Mr Wonka give a visitor his candy different ways Mr Wonka can distribute candy in If 150 people visit Mr Wonka s factory each day Mr Wonka can go for days without repeating candy selections giving two visitors the same selection of candy

When Jamie was born her grandparents deposited 3500 into a college savings account paying 8 interest compounded 6 times a year How much money will be in the account in 21 years O 12052 60 O 18572 12 O 7623 13

1 Use the Euclidean Algorithm to find integers a and b such that 81a 52b 1

Veronica Bell an interior decorator for Crown Interior Design is married and claims 1 allowance Her salary is 49 200 and she is paid monthly The federal tax rate is 11 2 Her state tax rate is 2 5 of taxable wages Local tax is 1 75 of gross pay Social Security and Medicare tax are also deducted She is covered by her husband s health insurance Determine his monthly earning statement DEPT 15 FIT EMPLOYEE CHECK Period Ending 91666 TAX DEDUCTIONS SOC SEC MEDICARE STATE LOCAL GROSS PAY NET PAY PERSONAL DEDUCTIONS MEDICAL UNION DUES OTHER

Given 986 654321 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 2545699 6 10 Write the quadratic equation that matches the given graph Use vertex form y a x h 2 k f x x 65 89 IC oy 1 4 z 3 syntax erre

7 a When Bob wakes up on tim If he oversleeps there is a On average Bob oversleep What is the probability that

D You are a government funding agency and have received a large number of grant proposals Each proposal has been reviewed by a panel of experts and classified as meritorious or non meritorious Only meritorious proposals can receive funding There are 393 such proposals and you only have enough funding to support 96 of them You decide to hold a lottery However you want to ensure that at least 42 grants are awarded to proposals from public universities Of the meritorious proposals 109 are from public universities You decide to give each meritorious proposal a lottery number then take the 42 proposals from public universities with the lowest lottery numbers then fund the remaining 54 proposals with the lowest lottery numbers On average how many funded proposals will be from public universities Round your answer to the nearest whole number

omework Ch 13 Suppose GDP in this country is 1 260 million Enter the amount for government purchases National Income Account Government Purchases G Taxes minus Transfer Payments 7 Consumption C Investment 1 National Saving S Value Millions of dollars Complete the following table by using national income accounting identities to calculate national saving In your calculations use data from preceding table 270 750 210 million Complete the following table by using national income accounting identities to calculate private and public saving In your calculations use da the initial table

stion 18 unctuation at the end of a senten or an exclamation point is known

O records information that allows another person to locate the source you have used O is only needed on the Reference page O is needed for in text references and on the Reference page O a and b above O a and c above

Match the equation with the first correct step to take to solve it 3x 7 5x 7 2x 12x 3 6 4x 1 2 10 6x 4 5x 7 6x 1 5x 12 5 7 5x 36 3 4x 3 15 4x 3 5 H Multiply each side by 1 3 The same as dividing by 3 Add 3x to each side T T 1 I L LI 11 H LI I LI L Multiply each side by 1 3 The same as dividing by 3 Multiply each side by 3 T Add 3 to each side

Quest Matt is saving to buy a new mo interest rate of 7 5 how much Matt will have in 15 month Round to the nearest cent as

Weights of golden retriever dogs are normally distributed Samples of weights of golden retriever dogs each of size n 15 are randomly collected and the sample means are found Is it correct t conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small Explain Choose the correct answer below A Yes the sample size must be over 30 for the sample means to be normally distributed OB No the original population is normally distributed so the sample means will be normally distributed for any sample size OC No the samples are collected randomly so the sample means will be normally distributed for any sample size D No as long as more than 30 samples are collected the sample means will be normally distributed

vo variables appear to have an exponential relationship What pattern s does the scatterplot ggest for the model Select the two correct answers It is only increasing or only decreasing It has a point of inflection It is only concave up or only concave down It has one or more extrema

rk Question 20 7 2 49 T Part 2 of 3 The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and a standard deviation of 118 chips a Determine the 30th percentile for the number of chocolate chips in a bag b Determine the number of chocolate chips in a bag that make up the middle 95 of bags c What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies CIDID a The 30th percentile for the number of chocolate chips in a bag of chocolate chip cookes is 1200 chocolate chips Round to the nearest whole number as needed HW Score 96 25 19 25 of 20 points Points 0 25 of 1 b The number of chocolate chips in a bag that make up the middle 95 of bags is 1031 to chocolate chips Round to the nearest whole number as needed Use ascending order

6 A ticket at a movie theater costs 8 50 One night the theater had 29 886 in ticket sales a Estimate about how many tickets the theater sold Explain your reasoning The theater sold about 3 516 tickets YOU X100 859129886 16t1 7718 19 b How many tickets did the theater sell Explain your reasoning 3 516 C 16 192 XIDO From Unit 5 Lesson 13 7 A fence is being built around a rectangular garden that is 8 feet by 6 feet Fencing comes in panels Each panel is of a foot wide How many panels are needed Explain or show your reasoning From Unit 4 Lesson 12 MAN 3 46 7 6 48 38 86 3516 850 2988699 25501 413 26 7386 4250 add them divide 12 26 210 ZD 360 850 5102 510

You have been pricing a compact disk player in several stores Three stores have the identical price of 700 Each store charges 12 percent APR has a 30 day grace period and sends out bills on the first of the month On further investigation you find that store A calculates the finance charge by using the average daily balance method store B uses the adjusted balance method and store C uses the previous balance method Assume you purchased the disk player on May 5 and made a 100 payment on June 15 What will the finance charge be for June if you made your purchase from store A From store B From store C Do not round your intermediate calculations Round your answers to 2 decimal places Store A Store B Store C Finance Charge LA LA LA

Be able to calculate APC APS MPC and MPS from a table or graph Be able to locate the consumption curve reference line and the break even income level Be able to define economic investment Know the relationship between interest rate and the level of investment spending Know the most important determinant of investment spending and consumer spending know the multiplier effect and be able to calculate it

the Event A A head on each of the first two tosses Event B Exactly one head Event C A tail on the last toss or the second nt TTT HHT HTT 0 0 Outcomes HHH O TTH THH HTH THT 0 O O Probability 010

A wheel has 10 equally sized slices numbered from 1 to 10 Some are grey and some are white The slices numbered 1 2 3 4 6 7 8 and 10 are grey The slices numbered 5 and 9 are white The wheel is spun and stops on a slice at random Let x be the event that the wheel stops on a white slice and let P x be the probability of x Let not x be the event that the wheel stops on a slice that is not white and let P not X be the probability of not X Event X not X 1 2 3 4 5 6 7 8 9 10 U U O b Subtract Outcomes 1 P not X a For each event in the table check the outcome s that are contained in the event Then in the last column enter the probability of the event 0 0 0 U olo O 0 X Probability P X P not X 00 c Select the answer that makes the sentence true 9 8 X 7 10 1 65 2 3 4

For the following game a 10 pts Which of Player 1 s strategies w x y z are strictly dominated For each dominated strategy identify at least one strategy pure or mixed that dominates it b 10 pts Which of Player 2 s strategies a b c d are strictly dominated For each dominated strategy identify at least one strategy pure or mixed that dominates it c 5 pts Find the strategy profiles that survive the iterated elimination of dominated strategies WX W 7N y Z 2 8 4 3 84 3 8 5 4 b 7 5 5 6 8 7 4 3 d 5 3 TH 6 6 6 6 8 2 C 4 5 4 7 5 7 4 3

x y 2z 6 3x 2y 25 4x y z 12 8 5a 5b 5c 20 4a 3b 3c 6 4a 3b 3c 9

Some are grey and some are white The ball numbered 1 is grey The balls numbered 2 3 4 and 5 are white A ball is selected at random Let X be the event that the selected ball is white and let P X be the probability of X Event Let not X be the event that the selected ball is not white and let P not X be the probability of not X a For each event in the table check the outcome s that are contained in the event Then in the last column enter the probability of the event X not X b Subtract I to 5 are placed into a bag Outcomes 1 2 3 4 5 0 0 0 1 P x 0 U 0 0 0 Probability P X P not X X c Select the ans ver that makes the sentence true H 12340 X Aus

Determine whether the following compound proposition is a tautology a contradiction or a contingency pr p q q r A Tautology B Contradiction OC Contingency D All of the above

Use De Morgan s Laws to write the negation of the proposition Rita will move to Oregon or Washington For the toolbar press ALT F10 PC or ALT FN F10 Mac T

True or False p q r and p r q r are logically equivalent Use the truth table to support your decision True False

Using the truth table determine if the following proposition is a tautology a contradiction or a contingency p q Ap q O Tautology O Contingency Contradiction None of the above

Fill out the truth table and decide if the propositions are logically equivalent p q and p q V p q pqp q TT TF FT FF p g V PA q

Simplify using conditional disjunction equivalence Example 3 Pg 28 p q p OAT OB q OC F OD p

Using truth table determine if the statement is True or False PAT p True False

From the list below please choose ALL propositions that are logically equivalent 0 p q Op q Opv q Opn q p q AF

Identify the type of the given propositions PAP TVP v p F T A Contingency B Tautology C Contradiction

Connect one proposition from the left column and one from the right columns so they form a logical equivalence A pVq p q peq v PVT pVq B p q q p C p q D qVp E T

Identify given logical equivalences 1 p q PV q 2 pvq Vr pV qVr 3 pv p T 4 p F F

s com r s 0 doc 2175576 sp 292410303 mi 859005713 cfi 2F4 2F2 2F248 2C 2F1 3A290 Sketch the dimensions required to completely describe the size of placement with others to evaluate the available options Your inst measurements or simply use X for the number values to focus

Joel can run around a mi track in 81 sec and Jason can run around the track in 69 sec If the runners start at the same point on the track and ru 1 opposite directions how long will it take the runners to cover mi Round your answer to the nearest tenth of a second if necessary 4 1 Joel and Jason can run the mi track together in approximately sec 4

47 of customers at a shoes If a random sam least 160 of them will

The population of Medina Ohio is currently 26 190 people The population is predicted to grow at a rate of 3 7 per year What will the population of Mediana be in 7 3 years round your answer to the neareat hundreth O 34144 47 50369 13 O43210 82

Question 4 8 points According to the 2010 National Health Survey conduc White children aged 3 17 had ADHD attention defic same survey found that 10 5 of African American ch a By looking at the above percents only can we say th children with ADHD was less than the number of Afric ADHD Explain your reasoning by typing your answer b In 2010 there were 46 6 million White children and children Using the percents above calculate the numb ADHD and calculate the number of African American you set up the problem in the space below Then soly

in the demand for pizza and an increase in the supply of pizza occur together What is the effect on the price and quantity of pizza An increase in the demand for pizza together with an increase in the supply of pizza The equilibrium pnce of pizza A will not will fall B will not will not change C might will rise OD might might fall nse or not change The equilibrium quantity of pizza A increases if the price rises and decreases if the price falls B decreases OC increases or decreases but we don t know for sure OD increases create a surplus or a shortage of pizza at the original pr