Questions

f x 2 x 2 x 6 x 1 x 2 x 12 x x 2 6x 8 fir the x and y intercepts

Assignment Quad Form Practice Math 2 What Is a Metaphor Solve each equation below using the quadratic formula Cross out the box that contains the solution set Whe you finish print the letters of the remaining boxes in the spaces at the bottom of the page 1 x 4x 3 0 X 1 the yo 1 X 42 6 16 3 x 5 6 0 5 x 2x 8 0 Date 225 2 x 7x 10 0 4 x 3x 4 0 6 r 5x 2 0

Classifying Data by Type In Exercises 7 14 determine whether the data are qualitative or quantitative Explain your reasoning 7 Weights of dogs at an animal rescue facility 8 Carrying capacities of flatbed trucks 9 Hair colors of classmates 10 Student ID numbers 11 Heights of infants in a maternity ward 12 Species of mammals in a rain forest 13 Responses on an opinion poll 14 Wait timon at ortmar Motor Vobiolog

Find the curve s unit tangent vector Also find the length of the indicated portion of the curve r t 6t i 2t j 3t k 1 t 3 6 The curve s unit tangent vector is 7 Type an integer or a simplified fraction i 3 j t k 7

mean and median for each of the two samples and then compare the two sets of results Are the measures of center the best statistics to use with these data What else might be better des are matched so that subjects each have systolic and diastolic measurements Find Systolic 115 156 149 95 154 101 130 136 135 144 Diastolic 54 80 58 57 70 73 59 55 61 91 Find the means The mean for systolic is 131 5 mm Hg and the mean for diastolic is 65 8 mm Hg Type integers or decimals rounded to one decimal place as needed Find the medians The median for systolic is Type integers or decimals mm Hg and the median for diastolic is rounded to one decimal place as needed mm Hg D

For each triangle construct all three perpendicular bisectors to show they are concurrent 11 12 781

Suppose f x fog x gof x 8 x 9 and g x X 3x 5 You do not need to simplify your answer You do not need to simplify your answer

Find the curve s unit tangent vector Also find the length of the indicated portion of the curve r t 6t i 2t j 3t k 1st 3 The curve s unit tangent vector is i j k Type an integer or a simplified fraction

5 A survey of 1020 U S adults found that 42 trust their political leaders Source Gallup

roblem 3 Which of the following series are conditionally convergent 8 arctan n i 1 25 n 72 1 8 ii 1 1 n 1 1 1 4 1 1 iii n 4 22 2 A ii only B all of them C i and ii only D iii only E i only F none of th G ii and iii only H i and iii only

State whether the growth or decay is linear or exponential and answer the associated question The value of a house is increasing by 1900 per year If it is worth 120 000 today what will it be worth in four years Is the increase in value linear or exponential linear exponential What will the house be worth in four years

Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year What does this Top 10 list tell us about the population of all of that country s college tuitions 53 318 53 976 51 013 53 117 53 976 54 429 54 286 54 424 53 512 51 389 Find the mean midrange median and mode of the data set The mean of the data set is Round to two decimal places as needed

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board On the second square the King would place two grains of wheat on the third square four grains of wheat and on the fourth square eight grains of wheat If the amount of wheat is doubled in this way on each of the remaining squares how many grains of wheat should be placed on square 15 Also find the total number of grains of wheat on the board at this time and their total weight in pounds Assume that each grain of wheat weighs 1 7000 pound How many grains of wheat should be placed on square 15

How profitable are different sectors of the stock market One way to answer such a question is to examine profit as a percentage of stockholder equity A random sample of 30 retail stocks was studied for x1 profit as a percentage of stockholder equity The result was x1 13 8 A random sample of 36 utility gas and electric stocks was studied for x2 profit as a percentage of stockholder equity The result was x2 10 6 Assume that 1 4 4 and 2 3 1 Let u1 represent the population mean profit as a percentage of stockholder equity for retail stocks and let 2 represent the population mean profit as a percentage of stockholder equity for utility stocks Find a 95 confidence interval for u1 u2 in Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

1 point Find a formula for the inverse of the function f x 5 6 11x 1 Find the formula for the inverse function Answer f x 2 What is the domain of the inverse function f Answer in interval notation

Listed below are the ages of 11 domly selected from the faster of pionship sports team Find the a mean b median c mode and d midrange and then e determine how the resulting statistics are fundamentally different from those calculated from the jersey numbers of the same 11 players Click the icon to view ages and jersey data and statistics a Find the mean The mean age is years Type an integer or a decimal rounded to one decimal place as needed Ages and Jersey Data Ages 42 21 30 29 33 25 24 28 30 24 28 Jersery 13 27 49 14 12 89 78 58 57 71 66 Numbers mean median mode HECE min may midrange

Solve the inequality Express your answer using set notation or interval notation Graph the solution set 1 x 4 x 6 Choose the correct answer below that is the solution set to the inequality OA xx 11 or 11 OB xx 11 or 0 11 OC xx 11 or 11 00 OD xx 11 or 11

An athlete puts a 16 lb shot at an angle of 45 to the horizontal from 6 ft above the ground at an initial speed of 42 ft sec How long after launch and how far from the athlete does the shot land The shot remains in the air for seconds Round to two decimal places as needed

An athlete puts a 16 lb shot at an angle of 45 to the horizontal from 6 ft above the ground at an initial speed of 42 ft sec How long after launch and how far from the athlete does the shot land seconds The shot remains in the air for Round to two decimal places as needed

The price of a computer component is decreasing at a rate of 15 per year State whether this decrease is linear or exponential If the component costs 120 today what will it cost in three years Is the decline in price linear or exponential exponential linear What will the component cost in three years Round to the nearest cent as needed Save

The price of a computer component is decreasing at a rate of 15 per year State whether this decrease is linear or exponential If the component costs 120 today what will it cost in three years Is the decline in price linear or exponential exponential linear What will the component cost in three years Round to the nearest cent as needed

The Wind Mountain archaeological site is located in southwestern New Mexico Wind Mountain was home to an ancient culture of prehistoric Native Americans called Anasazi Suppose that a random sample of excavations at Wind Mountain gave the following depths in centimeters from present day surface grade to the location of significant archaeological artifacts 86 46 119 79 74 54 66 61 66 96 89 71 76 66 69 USE SALT a Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s in cm Round your answers to four decimal places cm S cm b Compute a 95 confidence interval for the mean depth in cm at which archaeological artifacts from the Wind Mountain excavation site can be found Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

The price of a computer component is decreasing at a rate of 15 per year State whether this decrease is linear or exponential If the component costs 120 today what will it cost in three years Is the decline in price linear or exponential O exponential O linear

ed as having been charged inken driving hot less than 6 or more than from public records individuals were 12 months from the starting date of the study Two random samples from this group were studied In the first sample of 28 individuals the respondents were asked in a face to face interview if they had been charged with drunken driving in the last 12 months Of these 28 people interviewed face to face 11 answered the question accurately The second random sample consisted of 42 people who had been charged with drunken driving When asked by email 20 of these responded accurately to the question asking if they had been charged with drunken driving during the past 12 months Assume the samples are representative of all people recently charged with drunken driving LAUSE SALT a Categorize the problem below according to parameter being estimated proportion p mean difference of means or difference of proportions P P Op H O H H OP P b Let p represent the population proportion of all people with recent charges of drunken driving who respond accurately to a face to face interview asking if they have been charged with drunken driving during the past 12 months Let p represent the population proportion of all people who respond accurately to the question when it is asked in an email Find a 90 confidence interval for P P Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to three decimal places

TRIG 34 A blue bird sitting in its nest at the top of a tree spots a large red apple in Donovan s hands at an angle of depression of 23 If the nest is 20 ft off the ground and the apple is 4 ft off the ground how far is Donovan from the tree Be sure to draw an appropriate diagram

Three experiments investigating the relation between need for cognitive closure and persuasion were performed Part of the study involved administering a need for closure scale to a group of students enrolled in an introductory psychology course The need for closure scale has scores ranging from 101 to 201 For the 68 students in the highest quartile of the distribution the mean score was x 176 50 Assume a population standard deviation of a 7 53 These students were all classified as high on their need for closure Assume that the 68 students represent a random sample of all students who are classified as high on their need for closure Find a 95 confidence interval for the population mean score on the need for closure scale for all students with a high need for closure Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places

1 The figure shows a circle centered at the origin with an angle of measure in standard position The terminal ray of T Find the measures of the angles in standard the angle intersects the circle at point P The measure of angle is 3 position whose terminal ray intersects the circle at points Q R and S

Anystate Auto Insurance Company took a random sample of 350 insurance claims paid out during a 1 year period The average claim paid was 1 575 Assume o 256 Find a 0 90 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information Find a 0 99 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information

records Two methods of survey were used a face to face interview and by email A random sample of 92 people were asked the voter registration question face to face Seventy two respondents gave accurate answers as verified by city records Another random sample of 88 people were asked the same question by email Seventy five respondents gave accurate answers Assume the samples are representative of the general population LUSE SALT a Categorize the problem below according to parameter being estimated proportion p mean difference of means or difference of proportions P P Op OH H OP P b Let p be the population proportion of all people who answer the voter registration question accurately during a face to face interview Let p be the population proportion of all people who answer the question accurately by email Find a 95 confidence interval for P P Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to three decimal places

How profitable are different sectors of the stock market One way to answer such a question is to examine profit as a percentage of stockholder equity A random sample of 30 retail stocks was studied for x profit as a percentage of stockholder equity The result was x 13 8 A random sample of 36 utility gas and electric stocks was studied for x profit as a percentage of stockholder equity The result was x 10 6 Assume that 4 4 and 3 1 a Categorize the problem below according to parameter being estimated proportion p mean difference of means H or difference of proportions P P2 Op OH OH H OP P b Let u represent the population mean profit as a percentage of stockholder equity for retail stocks and let 4 represent the population mean profit as a percentage of stockholder equity for utility stocks Find a 95 confidence interval for M M in Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

A research group conducted an extensive survey of 2 865 wage and salaried workers on issues ranging from relationships with their bosses to household chores The data were gathered through hour long telephone interviews with a nationally representative sample In response to the question What does success mean to you 1 550 responded Personal satisfaction from doing a good job Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question Find a 90 confidence interval for p Enter your answer in the form lower limit to upper limit Include the word to Round your answers to three decimal places USE SALT

4 Plot production function savings function and depreciation function in a slow model and graphically show the effects transition of steady state capital in following situations a Contractionary monetary policy real interest rate increases increased level of savings b Increase in the population growth rates c Increase in the technology paramotor

2 A country has a Life expectancy at birth years 70 7 expected years of schooling years 12 5 mean years of schooling years 9 6 and gross national income per capita 32 465 The maximum for expected years of schooling 18 the maximum per capital income is set at 75 000 and the benchmark life expectancy at birth of 85 years Compute the new HDI for this

20 Please list and explain the 4 different levels of proteins structure Protein Structure

A projectile is fired at a speed of 800 m sec at an angle of 60 How long will it take to get 23 km downrange The projectile will take seconds to get 23 km downrange Round to two decimal places as needed

Give three different generating sets of R

Solve the initial value problem for r as a vector function of t dr Differential equation Initial condition ti 7tj tk dt r 0 2i 8j 2k

10 8 points Consider the systme of linear equations a x b y ci a2x b y c where a1 b1 C1 a2 b2 and c2 represent real numbers What must be true about the lines represen the equations when a b a2 b 0

Evaluate the function 1 f 10 2 f 1 3 f 2 x x 2x x 5 if x 1 if x 1

9 12 points Find the volume of the tetrahedron with the given vertices 0 0 0 0 2 0 3 0 0 1 1 4

41 2 8 10 points Given the cofactor matrix of matrix A is C 6 0 3 and A 3 find A 2

12 x y 1 s

2 3x 5y 5 9 5 4 3 N X 6 5 4 3 2 1 2 S T 10

The method of tree ring dating gave the following years A D for an archaeological excavation site Assume that the population of x values has an approximately normal distribution 1264 1264 1278 1292 1268 1316 1275 1317 1275 S USE SALT a Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s Round your answers to four decimal places X A D yr b Find a 90 confidence interval for the mean of all tree ring dates from this archaeological site Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to the nearest whole number

a Use the definition mtan lim h 0 b Determine an equation of the tangent line at P f x 4x 5 P 2 13 a Mtan f a h f a h b y to find the slope of the line tangent to the graph of f at P

Suppose A is a 2 x 2 matrix and we know that we can get A2 from A by subtracting 5 times the second row of A from the first row of A as the new first row What is the inverse of A provided that it exists A

Which graph below shows a sketch of the derivative of f OA OB 2 Q OC oo OD AL

A random sample of 360 married couples found that 290 had two or more personality preferences in common In another random sample of 584 married couples it was found that only 26 had no preferences in common Let p be the population proportion of all married couples who have two or more personality preferences in common Let p be the population proportion of all married couples who have no personality preferences in common USE SALT a Can a normal distribution be used to approximate the p P distribution Explain The data constitute two independent n np the normal distribution can samples Calculating the following quantities n and n we see that all these quantities are greater than 5 be used to approximate the P P distribution b Find a 99 confidence interval for P Round your numerical values to three decimal places So P Enter your answer in the form lower limit to upper limit Include the word to

A study recorded the following weights of adult grey wolves from two regions in Old Mexico Chihuahua region x variable in pounds 86 75 91 70 79 80 68 71 74 64 LAUSE SALT a Use a calculator with mean and standard deviation keys to calculate x and s in pounds Round your answers to four decimal places Durango region variable in pounds 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 52 lb lb Use a calculator with mean and standard deviation keys to calculate x and s in pounds Round your answers to four decimal places lb lb c Let be the mean weight of the population of all grey wolves in the Chihuahua region Let be the mean weight of the population of all grey wolves in the Durango region Find an 85 confidence interval for in pounds Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places

1 Draw and correctly label the following two production possibilities frontiers one for China and one for the United States The Y axis reflects units of tech goods produced the X axis reflects units of manufactured goods produced If China uses all its resources to make tech goods it will produce 4 if they use all their resources to make manufactured goods it will produce 24 If the US uses all its resources to make tech goods it will produce 48 if they use all their resources to make manufactured goods it will produce 48 China is currently producing 2 tech goods and 12 manufactured goods while the US is currently producing 24 tech goods and 24 manufactured goods