Questions

In a recent study on world happiness participants were asked to evaluate their cur lives on a decimal scale from 0 to 10 where 0 represents the worst possible life and 10 represents the best possible life The mean response was 5 8 with a standard deviation o 2 6 Assume the distribution can be approximated by a normal distribution a What response represents the 92nd percentile b What response represents the 64th percentile c What response represents the first quartile a The response that represents the 92nd percentile is 9 78 Round to two decimal places as needed

What kind of stream is this 1 Excess Energy B Deficient Energy Balanced Energy

a To graph the relation P 1 5 x 2 4x 60 we ll plot points for different values of x and calculate the corresponding P values using equation Then we ll plot these points on a graph b This relation is quadratic because it has a squared term x 2 in the equation Another way to see this is by noting that the graph of a quadratic equation is a parabola and the given equation has the form of a quadratic function the c The direction of opening of the parabola is downward because the coefficient of the x 2 term 1 5 is negative Since the coefficient of the x 2 term negative the parabola opens downward indicating that the profit function has a maximum We know this because the coefficient of x 2 is negative is d To find the P intercept we set x 0 in the equation and solve for P P 1 5 0 2 4 0 60 60 The P intercept is 0 60 This represents the initial profit of the company in 2020 when x 0 Yes it makes sense that this is a new company because at the beginning in 2020 the profit is 60 million As the company grows and operates the profit can increase or decrease based on various factors

In a survey of a group of men the heights in the 20 29 age group were normally distributed with a mean of 69 4 inches and a standard deviation of 2 0 inches A study participant is randomly selected Complete parts a through d below a Find the probability that a study participant has a height that is less than 65 inches The probability that the study participant selected at random is less than 65 inches tall is 0 0139 Round to four decimal places as needed b Find the probability that a study participant has a height that is between 65 and 72 inches The probability that the study participant selected at random is between 65 and 72 inches tall is Round to four decimal places as needed

solve problems involving quadratic functions including problems arising from real world applications 3M B 3 Mathematics Overall Expectation Problem Solving develop select apply compare and adapt a variety of problem solving strategies as they pose and solve problems and conduct investigations to help deepen their mathematical understanding 3M A 1 Mathematics Mathematical Process Expectation Reasoning and Proving develop and apply reasoning skills e g use of inductive reasoning deductive reasoning and counte examples construction of proofs to make mathematical conjectures assess conjectures and justify conclusions and plan and construct organized mathematical arguments 3M A 2 Mathematics Mathematical Process Expectation Connecting make connections among mathematical concepts and procedures and relate mathematical ideas to situations or phenomena drawn from other contexts e g other curriculum areas daily life current events art and culture sports 3M A 5 Mathematics Mathematical Process Expectation Repreconti

A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0 15 inch a Determine the minimum sample size required to construct a 99 confidence interval for the population mean Assume the population standard deviation is 0 6 inch b The sample mean is 27 6 inches With a sample size of 115 a 99 level of confidence and a population standard deviation of 0 6 inch does it seem possible that the population mean could be less than 27 7 inches Explain Click here to view page 1 of the Standard Normal Table Click here to view page 2 of the Standard Normal Table a The minimum sample size required to construct a 99 confidence interval is 106 soccer balls Round up to the nearest whole number b The 99 confidence interval for a sample size of 115 is It seem possible that the population mean could be less than 27 7 inches because values below 27 7 inches fall the confidence interval Round to two decimal places as needed

Arley s Bakery makes fat free cookies that cost 1 60 each Arley expects 40 of the cookies to fall apart and be discarded Arley wants a 35 markup on cost and produces 200 cookies What should Arley price each cookie Note Round your answer to the nearest cent Price per cookie x This is a numeric cell so please

The study of extrinsic motivation revolves around three central concepts Which of the following is NOT one of those concepts O need O punishment Oreward O incentive

The leadership motive pattern consists of all of the following EXCEPT above average activity inhibition O below average need for intimacy affiliation O above average need for power above average need for achievement

A n is an environmental object that occurs before the start of a sequence of behavior and attracts or repels the individual to engage or not in the behavior O punisher Oreward need O incentive

Entity theorists generally adopt goals incremental theorists generally adopt goals O performance performance O learning learning O performance learning

In a recent year the scores for the reading portion of a test were normally distributed with a mean of 22 4 and a standard deviation of 5 2 Complete parts a through d below a Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 19 The probability of a student scoring less than 19 is 0 2566 Round to four decimal places as needed b Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is between 15 2 and 29 6 The probability of a student scoring between 15 2 and 29 6 is Round to four decimal places as needed

Misu Sheet owner of the Bedspread Shop knows his customers will pay no more than 100 for a comforter Misu Sheet wants to advertise the comforter as percent markup on cost a What is the equivalent rate of percent markup on cost compared to the 40 markup on selling price Note Round your answer to the nearest hundredth percent Rate of percent b Is this a wise marketing decision Yes

Make sure to label all the graphs Use your preferred internet search engine to explore different types of businesses and business owners that you might be able to adapt your business model to in completing the assessment To get you started use the search term Shop First Nations to find an example of a resource that might be helpful This search term is just a suggestion and you are encouraged to research different resources to help you find inspiring examples of businesses and business owners Task 1 Understanding the equation Your company has a profit that is represented by the equation P 2 4x 60 where P is the profit in millions and x is the number of years starting in 2020 Hint You might want to factor out the common denomenator first HINT this means when x 0 it is 2020 Therefore so today being 2023 would be represented by x 4 2024 2020 4 a Graph the relation b Is this relation linear quadratic or neither Explain your answer in two different ways c What is the direction of opening and does profit have a maximum or minimum How do you know d What is the P intercept of this relation What does it represent Do you think it would make sense that this is a new company given the P intercept Explain Task 2 Solving for break even point s A break even point for a company is when they are neither making nor losing money This is when the profit is P 0 a How many break even point s will there be What do you use to determine this b Determine in which year s the company will break even using any algebraic method you wish c Determine in which year s the company will break even using a different algebraic method than you chose in b d Which mothed th

Jane Corporation produces model toy cars Each sells for 25 01 Its variable cost per unit is 17 37 Assuming it has a fixed cost of 187 944 What is the breakeven point for Jane Corporation Breakeven point units

The amounts of time per workout an athlete uses a stairclimber are normally distributed with a mean of 21 minutes and a standard deviation of 7 minutes Find the probability that a randomly selected athlete uses a stairclimber for a less than 18 minutes b between 21 and 29 minutes and c more than 30 minutes a The probability that a randomly selected athlete uses a stairclimber for less than 18 minutes is Round to four decimal places as needed

Solve for x 20 4x 7 5 4

A bag contains 36 red blocks 48 green blocks 22 yellow blocks and 19 purple blocks You pick one block from the bag at random Find the theoretical probability Write your answer as a fraction in simplest form in the form a b P green or yellow

CA A B E J K Proteobacteria Mitochondria Cyanobacteria Chloroplasts Archaea Green algae Plants Brown algae Other protists Fungi Choanoflagellates Sponges Coelenterates jellyfishes Echinoderms sea urchins F H M Bony fishes Birds Crocodiles Hippopotamus N Whales Rodents Primates Molluscs Arthropods

Unit 3 Sample Work Reminder Answer only No x or units for problems with typed response Solve Each Proportion Round to the nearest tenth 6 10 X 6

x x 3x 4 X 2

x ux 2 CX 232

Use substitution to determine whether the given x value is a solution of the equation cos x sin 4x x 3 O X T 13 3 is not a solution of the equation x is a solution of the equation

Find a particular solution to the differential equation 4y 4y 1y 2t 2t 6e 4t

Select the region of the number line that satisfies the Inequali 4x 4x 3 0 x 4x O 4 U 2 0 U 1 O The correct answer isn t listed O 4 0 2 O x U 0 2 U 4 O 4 U 0 U 1 4 U 2 0 0 U 4

7 There are 4 snickers candy bars 6 twix candy bars and 1 kitkat candy bar in a candy jar What is the probability of randomly selecting a snickers eating it and then selecting a twix Write your answer as a percentage Independent or Dependent 8 There are 7 green marbles 9 blue marbles and 3 orange marbles in a bag What is the probability that you randomly select a green marble first set it aside and then select an orange marble second Write your answer as a decimal Independent or Dependent

Select a well known leader president coach educator Evaluate that leader according to the three dimensions of the leadership motive pattern need for power give examples need for affiliation intimacy give examples activity inhibition give examples Discuss all three dimensions as they relate to the person you chose Then answer the following questions Is this person an effective leader Would they be more effective or less effective as a leader if they conformed more closely to the leadership motive pattern

Graph the function on the interval 6 6 h x int 5

5a 45 Find the value of a in the parallelogram 2a 56

3 Find the dimensions of a rectangle of area 324 ft that has the smallest possible perimeter

Verify the following identity 1 sec a tan 2 tan Which of the following statements establishes the identit O A O B OC 1 cos a 1 sec tan 2 2 tan tan 2 1 cos 1 sec a 2 tan tan 2 cos 1 sin 1 sec a tan

consider equation E x y N We Suppose that xy is a caple solutias of the equation E 1 Can x x and y have the same parity 2 KEN copy and complete the tablet E 5 1 2 3 4 2 5 3 Deduce x 1 5 or x 4 5 Find a non triviale solution different from 1 0

b The Bank of NOLA offers personal loans of 35 000 to its customers at an annual nominal rate of 12 compounded every month The loan must be paid off with monthly payments of 502 15 How many years will it take a customer to pay back the loan

Evaluate Feedback Print Consider the f x cos Bx function shown in the figure in blue color What is the value of parameter B for this function This parameter is called angular requency in physics and it is denoted by w 335 0 5 As a reference the g x cos x function is shown in red color and green tick marks are drawn at integer multiples of n Submit Answer Tries 0 99

Suppose a tank leaks toxic chemicals The area affected is tank When the spill is first noticed the circle has a radius of 40 meters A response team arrives 20 minutes later by which time the affected area has grown to a circle with a radius of 190 meters How rapidly was the area of the spill changing in m min between the time the spill was noticed and the arrival of the response team be sure to include the units round your answer to the nearest whole number and If the area of the spill is changing at a constant rate how rapidly will the radius be the spill team arrives round your

2 2 Ex 5y 1 We consider equation E xyEN We Suppose that xy is d caple solutias of the equation E parity 1 Can x and y have the some 2 KEN copy and complete the tablet 6 E 5 1 2 3 4 4 5 3 Deduce x 1 5 or x 4 5 4 Find a non triviale solution different from 1 0

2 Daniel borrowed 50 000 with a promise to repay the loan over a period of 10 years in monthly installments What is the amount of the monthly payment if the nominal annual interest rate is 12 compounded monthly

For 2021 Rahal s Auto Parts estimates bad debt expense at 3 of credit sales The company reported accounts receivable and an allowance for uncollectible accounts of 87 500 and 2 300 respectively at December 31 2020 During 2021 Rahal s credit sales and collections were 406 000 and 410 000 respectively and 2 540 in accounts receivable were written off Rahal s accounts receivable at December 31 2021 are Multiple Choice 91 500 88 960 83 500 80 960

Mohr Company purchases a machine at the beginning of the year at a cost of 36 000 The machine is depreciated using the units of production method The company estimates it will use the machine for 5 years during which time it anticipates producing 80 000 units The machine is estimated to have a 4 000 salvage value The company produces 10 000 units in year 1 and 7 000 units in year 2 Depreciation expense in year 2 is Multiple Choice 4 000 6 400 14 400 2 800 21 600

One characteristic of plant they Multiple Choice Current assets Used in operations Natural resources Long term investments

Plant assets are defined as Multiple Choice Tangible assets used in a company s operations that have a useful life of more than one accounting period Current assets Assets that are physically consumed when used Intangible assets used in the operations of a business that have a useful life of more than one accounting period Tangible assets used in the operation of business that have a useful life of less than one accounting period

Multiple Choice Measures the decline in market value of an asset Measures physical deterioration of an asset Is the process of allocating the cost of a plant asset to expense while it is in use Is an outflow of cash from the use of a plant asset Is applied to land

5 A local minor League Baseball team plays home games in a stadium that has four sections that each hold 3000 fans On an average night attendance in each section is filled to 75 the capacity of the one below it Estimate attendance on an average night if the bottom section is completely filled What percentage of the stadium is full

Two cars are moving towards an intersection One car is 200 meters north of the intersection and moving towards the intersection at 17 m s while the other is 160 meters west of the intersection and moving towards the intersection at 10 m s How rapidly are the cars approaching each other 4 seconds later The cars are getting Select an answer at your answer rounded to 3 decimal places m s Enter

4 a Coles Home Solutions policy is to charge 1 25 interest each month on unpaid credit balances What is the nominal interest rate that Coles is charging What is the effective annual interest rate

Yolanda borrowed 20 000 from her parents to start a bakery She paid them back 25 500 What was the simple rate of interest on this loan if she repaid the loan after a 4 years b 6 years c 8 years

3 Which is more valuable 5 000 000 received today or 475 000 every year for 15 years if the annual rate of interest is 4 5

1 Andrew wants to save money to start a business He decides to save and deposit 3000 every year into a savings account that pays 7 compound interest How much money would Andrew have in his account at the end of 8 years

Three people invest in a treasure dive each investing the amount listed below The dive results in 34 golc coins Using Hamilton s method apportion those coins to the investors based on their investment Investor Investment Allocation of 34 coins Dawn 13 056 Kosumi 11 464 Heaven 2 680 Right before the coins are distributed the divers find one more coin they had misplaced Redo the allocation now with 35 coins Investor Investment Allocation of 35 coins Dawn 13 056 Kosumi 11 464 Heaven 2 680

A college offers tutoring in Math English Chemistry and Biology The number of students enrolled in each subject is listed below The college can only afford to hire 16 tutors Use Webster s method to determine the initial allocations with the standard divisor then finish the apportionment to determine how many tutors should be assigned to each subject Subject Math Students Enrolled Initial Allocation Tutors to Assign 310 English 210 Chemistry 115 Biology 75 What modified divisor did you use for the final apportionment