Math Questions

The country of Shyaway includes an adult population of 450 000 people Of those 245 000 are working full time and another 70 000 work part time If there are 100 000 people either retired or not in the labor force what is the labor force participation rate

There is a 80 chance that a person eats dinner a 70 chance a person eats dessert and a 40 chance the person will eat dinner and dessert Which of the following is true OA Eating dinner and eating dessert are dependent events because P dinner P dessert 0 8 0 7 0 1 which is less than P dinner and dessert 0 4 B Eating dinner and eating dessert are independent events because P dinner P dessert 0 8 0 7 0 56 which is not equal to P dinner and dessert 0 4 O C C Eating dinner and eating dessert are dependent events because P dinner P dessert 0 8 0 7 0 56 which is not equal to P dinner and dessert 0 4 D Eating dinner and eating dessert are independent events because P dinner P dessert 0 8 0 7 0 1 which is less than Pidinner and dessert 0 4

Ifm B 62 a 11 and c 19 what are the measures of the remaining side and angles O mA 35 1 m C 82 9 b 14 2 Om A 43 2 m C 74 8 b 14 2 Om A 43 2 mzC 74 8 b 16 9 Om A 34 9 m C 83 1 b 16 9

A wholesaler requires a minimum of 4 items in each order from its retail customers The manager of one retail store considering ordering a certain number of sofas x and a certain number of pillows that come in pairs y Which graph represents the overall equation represented by this scenario all points may not apply to the scenario

Suppose in one year total revenues from digital sales of pop rock tropical salsa merengue cumbia bachata and urban reggaeton Latin music in a certain country amounted to 21 million Pop rock music brought in twice as much as the other two categories combined and 11 million more than tropical music How much revenue was earned from digital sales in each of the three categories pop rock music tropical music urban Latin music million million million

1 Identify the color of each of the following aspects of the figure a The three perpendicular bisectors b The three angle bisectors c The inscribed circle d The circumscribed circle 2 Identify the point that gives each of the following aspects of the figur a The circumcenter b The incenter H G

A polynomial has been factored below but some constants are missing 2x 8x 24x ax x b x c What are the missing values of a b and c a 2 b 2 and c 6 O a 1 b 4 and c 6 O a 1 b 4 and c 6

Jan is looking at a map of Roaring River The map was created using the scale 1 inch 25 miles If the river is 5 5 inches long on the map then it is actually miles long

Select the correct answer Which data set has the greatest spread Set A 84 91 87 77 94 89 74 Set B 89 73 84 91 87 77 94 Set C 73 84 89 88 77 91 87 90 Set D 84 89 88 82 91 87 99 O A OB O C O D Set A Set B Set C Set D

In a study of data derived from a variety of natural phenomena F A Benford formulated an empirical law regarding the frequency of occurrence of the first digit d in a set of numbers Researchers have recognized Benford s law also known as the first digits law as an important tool in data analysis for diverse arenas such as forensic accounting online social networking climate modeling and gene sequencing For specific data sets Benford observed that the frequencies of occurrence of d were approximated by the probability distribution shown in the table d 1 2 3 4 5 6 7 8 9 P d 301 176 125 097 079 067 058 051 046 Use Benford s Law to find P d 5 and P d 2 Express each result as a decimal rounded to three places P d 5

Car Value The equation V 28500 0 93 represents the value in dollars of a car t years after its purchase Use thi equation to complete the statements below The value of this car is Select an answer The purchase price of the car was Question Help Post to forum at a rate of Select an answer Select an answer Y

The table below shows the average SAT math scores from 1993 2002 Year SAT math scores 1993 503 1994 504 1995 506 1996 508 1997 511 1998 1999 2000 512 511 514 Using the data from the table choose which set of axes and which set of ordered pairs you would use to plot the Graph A 2000

Population N Managers 21 Employees 29 Population Mean 95 CI 60 52 4 23 52 79 5 90 Managers Employees Median Mean 60 57 Write a 350 to 700 word response to the following What does the mean median mode and standard deviation tell us about the managers and employees Include answers to the following questions in your explanation of each What do they mean in our data What additional questions does it make you ask about the data Mode Median 70 68 Standard Deviation 9 28 15 52 Mode Standard Deviation

Use the Data Sets Mean and Standard Deviation applet to answer the question below Understand the mean and standard deviation of a data set You are asked to fill out a spreadsheet to create some data and then change the data according to the directions that is add 10 add 20 etc The spreadsheet found the Mean and the SD of your data sets What pattern did you find for the SD of the data sets Choose the correct answer below OA The SD changed relative to the directions When you added 10 the SD went up half of that OB The SD changed relative to the directions When you added 10 the SD went up by twice that OC The SD never changed in any of the columns O D The SD changed according to the directions For example when you added 10 the SD went up 10

Mia has a conical container filled with chocolates She knows that the volume of the container is equal to one third of the product of the square of the radius of the base of the container and the height of the container Mia measured the height of the container and found it to be 14 centimeters She also measured the radius of the base of the container and found it to be 4 centimeters If Vrepresents the volume of the conical container then which of the following equations can be used to calculate the volume of the container OA 4 4 14 3V 7 SO B 4 3x 14V O C OD 147 4 4

Let f x log3 x 3 and g x log3 x 1 Part A If h x f x g x solve for h x in simplest form 4 points 4 Part B Determine the solution to the system of nonlinear equations 6 points

Question 7 Multiple Choice Worth 5 points 02 06 MC A real estate company balances the books for its business on the first day of each month It hopes to sell houses every other day of the month The average number of houses 1 41 12 S the company sells each day t is represented by the inverse of the function S1 2 9 14 Which equation represents the average sales each day for the real estate company 1 6 1 7 S OS 1 6 1 7 S 71 6 1 1 71 6

1 point Sarah left Minneapolis heading east on the interstate at a speed of 60 mph Her sister followed her on the same route leaving 3 hours later and driving at a rate of 75 mph How long will it take for Sarah s sister to catch up to Sarah Round to the nearest tenth Time needed to catch up hours help numbers

Find the surface area of this sphere Round to the nearest tenth Formulas for Spheres S A 4nr V nr 7 in in Enter

Students want to investigate this question Is there a relationship between the number of hours high school students spend each week on Facebook and their high school GPA grade point average Which study design is most appropriate Send out a survey to your friends on Facebook Ask them to take the survey and to forward it to their Facebook friends In the survey ask two questions How many hours do you spend on Facebook each week What was your GPA in high school Collect at least 100 responses Divide high school students into two groups Flip a coin to decide who is in each group One group goes onto Facebook for 5 minutes then takes a short quiz The other group just takes the short quiz Go to a local high school and survey students during study hall In the survey ask students to estimate the hours they spend on Facebook each week Obtain the GPA data for these students from the high school counselor

1 point Thirty students raised money by selling frozen pizzas In total 400 pizzas were sold The teacher wants to raffle off a prize proportional to the number of pizzas each student sold Describe a process that the teacher can use

Graph the hyperbola using the transverse axis vertices and co vertices y x 22 12 1 9 36 Use the green key point to change the orientation of the transverse axis and the red key points to adjust the locations of the vertices and co vertices Provide your answer below 10 10 0 2 10 2 0 10

2 Using the following figures determine closing book inventory not all information given may be needed Opening inventory 89 760 Gross purchases 43 620 RTV 860 Cash discounts 320 Markdowns 5 246 Markdown cancellations 318 Employee discounts 784 Gross sales 49 318 Customer returns 2 945 Net markups 760

Francisco needs the three pieces of glass shown below to complete a stained glass window The shapes two triangles and a trapezoid are measured in inches 12 13 12 15 13 9 12 6 15 5 20 Glass can be purchased in rectangular sheets that are 12 inches wide What is the minimum length of a sheet of glass in inches that Francisco must purchase in order to have enough to complete the window

The amount of income tax t an individual owes is defined by piecewise function t and is based on the individual s income where is taxable income in dollar 0 10 t i 755 0 12 11000 4500 b i 35000 if Osis 12 000 if 12 000 32 000 if 32 000 Part A Show that the function t is not continuous at 12 000 10 points Part B Find the value of constant b that makes t i continuous at 32 000 20 points

elect the statement that is not equivalent to the following statement It is not true that Snoopy did not dance a jig and Charles Schultz wrote a sonat O If Snoopy did not dance a jig then Charles Schultz did not write a sonata Snoopy danced a jig and Charles Schultz did not write a sonata O Snoopy danced a jig or Charles Schultz did not write a sonata If Charles Schultz wrote a sonata then Snoopy danced a jig

Given ABC is bisected by ray BD m ABD 7x 12 and mzDBC 48 2x Statement 1 Ray BD bisects 2 m ABD m DBC Prove m ABD 40 3 m ABD 7x 12 4 m DBC 48 2x 5 7x 12 48 2x 7x 36 2x 7 9x 36 8 x 4 ABC Reason 1 Given 2 Definition of Angle Bisector 3 Given 4 Given 5 Substitution 6 Subtraction Property of Equality 7 Addition Property of Equality 8

Which of the following graphs represent valid functions 0 5 4 3 2 1 0 4 3 2 5 4 3 H 4 1 2 3 4 5 5 34 32 1 5 4 3 2 1 12 2 3 75 5 t 3 32 PHA 04 1934 m MAX 23 y 4 Definition of a Function wy q P 5 4 3 2 1 5 4 3 2 f 1 1 3 1 ch 9 3 4 5 2 3 4 st 5 54 4 3 324 ST 2 34 3 2 3 1 2 3 1 2 3 1 A

4 The volume of the box is 6480 cubic inches What are the lengths of the sides of the squares that are cut out Give the equation to solve this problem Use the expanded form of the volume Get one side equal to zero Divide out any whole number you can from the expression i e A 3 can be factored out so 0 6x 15x 60 so divide both sides by three to get the new equation 0 2x 5x 20 Do this to make it easier to find roots

Out of 9 700 college students surveyed 776 responded that they do not eat breakfast What percent of the students not eat breakfast Percent of the students

City water which is slightly chlorinated is being used to flush a tank of heavily chlorinated water The concentration C C t of the chlorine in the tank t hours after flushing begins is given by the following formula C 0 3 2 76e 0 35t C milligrams per gallon a What is the initial concentration of chlorine in the tank mg gal b Express the concentration of chlorine in the tank after 8 hours using functional notation Calculate the concentration of chlorine in the tank after 8 hours Round your answer to two decimal places mg gal

Instruction Find the average rate of change for the scenario below Jenna has a part time job at the ice cream shop She saves 60 every two weeks for a new car Find her rate of change After two weeks she will have I After six weeks she will have Jenna s rate of change is per week

Given that the polynomial f x has 6 turning points which of the following most accurately describes the degree of f x Select the correct answer below The degree of f x is at most 6 O The degree of f x is at most 5 O The degree of f x is at most 7 The degree of f x is at least 7 The degree of f x is at least 5 The degree of f r is at least 6

Question 22 Coke wants to survey people at the Indiana State Fair and try and decide if they like Diet Coke or Diet Pepsi better Coke hires the employees and supplies all the soda Is the collection of this data biased Biased 1 pts Non biased

into and out of the valley They take the measurements shown Determine the height of the cliff to the nearest tenth of a kilometre 5 40 cliff 1 5 km 550 65

The number of bonus points B p that a credit card holder receives is given by the function B p ap 7 where p represents the number of purchases made and a is a constant If the number of purchases is increased by 4 the number of bonus points increases by 25 What is the value of a A 4 B 4 5 C 6 25 2 11

Patrick has just finished building a pen for his new dog The pen is 3 feet wider than it is long He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base After putting the doghouse in the pen he calculates that the dog will have 178 square feet of space to run around inside the pen He also finds that the perimeter of the pen is 3 times greater than the perimeter of the doghouse A If x represents the length of the pen and y represents the area of the doghouse then which of the following systems of equations can be used to determine the length and width of the pen and the area of the doghouse OA OB 178 12 3x y 6 4x 3y 178 x 3x 6 4x 3y OC 178 12 3r y 6 4x 3y OD 178 12 3x y 6 4x 3y

Kristen and Martha have a company making widgets When working alone Kristen can make a widget in 6 minutes When working alone Martha can make a widget in 2 minutes How long would it take them working together to create a widget Round to 1 decimal place

Which graph shows this set of transformations applied to the parent cosine function A reflection across the x axis A shift of 2 units up A vertical compression by a factor of 0 5 7 6 5 3 2 1 1 2 K

A salesperson is given a choice of two salary plans Plan 1 is a weekly salary of 800 plus 5 commission of sales Plan 2 is a straight commission of 7 of sales How much in sales must she make in a week for both plans to result in the same salary How much in sales must she make in a week

The results of a particular experiment are shown below Calculate E the expected value of the experiment Write your answer as a decimal K Provide your answer below Outcome 3 1 0 1 2 3 Probability 0 2 0 1 0 3 0 05 0 15 0 2

The volume of coffee that must be dispensed is 354 mL 0 002 mL of coffee per cup The company randomly tested several cups of coffee from four different machines The average volume per cup from each machine is recorded in the table below Machine 1 2 3 4 Average Volume ml per Cup 353 995 354 001 353 998 354 005 Do all of the machines tested meet the specified tolerance Which machine s is acceptable if any Justify your answer using words and numbers Answer

Select the correct answer Polygon XYZW is dilated by a scale factor of 2 with point 7 as the center of dilation resulting in the image XYZW If point Tlies on YZ what can be said about Y Z OA Y z passes through point 7 but has a different slope than YZ OB Y z passes through point T and has the same slope as YZ OC Z does not pass through point T but has the same slope as YZ OD Y z does not pass through point 7 and has a different slope than YZ

Communication is an important skill in quantitative literacy Two statements are given below Give at least two reasons why Statement 2 is better than Statement 1 Statement 1 The population doubled in about 40 years Statement 2 The world population doubled from 1960 to 2000 from about 3 billion people to 6 billion a period of 40 years

The population of India was about 1 380 000 000 people in 2020 Which number best approximates the population as a single digit times a power of 10 A 1 10 OB 3 108 OC 1 10 9 OD 3 10

Three students attempt to define what it means for AB and CD to be perpendicular Fo O B D Can you match the teacher s comments to the definitions Definition of perpendicular lines Daniela s definition AB is perpendicular to CD if the measure of LAOC equals the measure of ZAOD Ori s definition AB is perpendicular to CD if AB and CD intersect perfectly sideways Kaori s definition AB is perpendicular to CD if one line can be mapped to the other by a rotation about point O of 90 Teacher s comments 27 Well done I hadn t previously considered defining perpendicular lines in terms of a rigid transformation like rotation but by golly it works Please rework your definition to use more precise mathematical language Well done Because the measure of ZCOD is 180 by the definition of a straight angle the measures of angles LAOC and LAOD must both be 90

Use the body temperatures in degrees Fahrenheit listed in the accompanying table The range of the data is 3 6 F Use the range rule of thumb to estimate the value of the standard deviation Compare the result to the actual standard deviation of the data rounded to two decimal places 0 71 F assuming the goal is to approximate the standard deviation within 0 2 F Click the icon to view the table of body temperatures The estimated standard deviation is F Round to two decimal places as needed Data Table 98 4 98 5 97 9 98 4 99 5 98 8 98 1 98 6 98 3 98 6 99 99 2 98 7 96 6 97 4 99 97 6 97 5 99 97 9 98 1 98 3 98 5 97 3 98 2 97 9 99 3 98 9 99 6 97 1 97 7 97 2 98 3 99 5 98 8 99 3 98 2 98 98 7 98 3 97 4 98 8 98 8 97 7 98 2 97 3 97 7 98 2 98 8 98 5 97 6 98 9 96 1 97 8 98 97 3 97 9 97 6 97 8 98 4 97 7 97 7 97 8 97 7 98 6 98 8 98 3 98 7 97 9 98 96 8 97 99 7 98 1 98 9 98 3 98 8 98 7 98 6 99 2 98 6 99 5 98 7 97 8 98 6 98 97 3 99 1 98 1 98 7 98 8 99 1 97 2 98 1 98 9 99 X

The adjacent graph is obtained from the graph of f x x or g x x by applying several transformations Describe the transformations and give the equation for the graph It is the graph of f x x translated unit s to the left reflected across the Sell Se 5 DPR 201 and translated y axis Ay unit s up 4 G

1 Edgar is getting better at math On his first quiz he scored 57 points then he scores 61 and 65 on his next two quizzes If his scores continued to increase at the same rate what will be his score on his 9th quiz Show all work I a Write an explicit formula for the sequence Explain where you found the numbers you are putting in the formula b Identify the value of n and explain where you found it Use the explicit formula to solve the problem Write your final answer as a sentence

e Name Write your name here FOR EACH PROBLEM Write an equation in slope intercept form for the line that passes through the given point and is parallel perpendicular to the graph of the given equation Begin at the Start box and work your way through the maze until you reach the Finish box Passes through 4 3 Parallel to y x 5 Iy 2x 5 Passes through 1 4 Cerpendicular to y 2x 9 Iy 3x 7I Passes through 9 4 Parallel to y x 4 y 3 x 7 Passes through 14 2 erpendicular to y 2x 9 y x 5 Passes through 4 1 erpendicular to y x 11 y x 5 y x 2 x 11 y 3x 11 y 3x 2 y 3x 2 y x 9 y x 7 y x 9 Passes through 6 2 Perpendicular to y 3x 4 y 3x 2 Passes through 6 9 Perpendicular to y 3x 2 y 3x 7 Passes through 2 8 Parallel to y 3x 11 Ly x 2 Passes through 2 3 Perpendicular to y x 7 y x 9 Passes through 7 9 Parallel to y 2x 4 y 3x 4 y x 4 y 2x 4 y 2x q y 2x 15 25 y x 1 y x 5 not be used y x 15 Passes through 3 7 Parallel to y 2x 7 Iy 2x 4 Passes through 4 6 Perpendicular to y x 2 y 2x 2 Passes through 6 3 Parallel to y 2x 5 Iy 2x 9 Passes through 1 6 Perpendicular to y x 4 y x 1 T finish Amazing Mathemat