College Math - Others Questions

14 4 15 9 A Subtract the LCD to the numerator and denominator OB Add the LCD to the numerator and denominator OC Multiply the LCD by the numerator and denominator D Simplify if possible Can the fraction O No O Yes 22 45 be simplified

Subtract the numerators and subtract the denominators 42 20 22 45 45 45 Determine the final step to subtract fractions when the denominators are different Choose the correct answer below OA Subtract the LCD to the numerator and denominator OB Add the LCD to the numerator and denominator OC Multiply the LCD by the numerator and denominator OD Simplify if possible

15 9 D Multiply by 1 using an appropriate notation to express each number in terms of the least common denominator Multiply by 1 using an appropriate notation 14 15 Multiply 4 14 3 4 5 9 15 3 9 5 14 3 4 5 15 3 9 5 www 45 45 to express each number in terms of the least common denominator n

What price do farmers get for their watermelon crops In the third week of July a random sample of 41 farming regions gave a sample mean of x 6 88 per 100 pounds of watermelon Assume that is known to be 1 94 per 100 pounds a Find the margin of error for a 90 confidence interval for the population mean price in dollars per 100 pounds that farmers in this region get for their watermelon crop What is the margin of error Round your answer to two decimal places Find a 90 confidence interval for the population mean price in dollars per 100 pounds that farmers in this region get for their watermelon crop Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places b Find the sample size of farming regions necessary for a 90 confidence level with maximal error of estimate E 0 45 for the mean price per 100 pounds of watermelon Round your answer up to the nearest whole number farming regions c A farm brings 15 tons of watermelon to market Hint 1 ton is 2 000 pounds Find a margin of error for a 90 confidence interval for the population mean cash value of this crop in dollars Round your answer to two decimal places Find a 90 confidence interval for the population mean cash value of this crop 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

How much does a sleeping bag cost Let s say you want a sleeping bag that should keep you warm in temperatures from 20 F to 45 F A random sample of prices for sleeping bags in this temperature range is given below Assume that the population of x values has an approximately normal distribution 60 105 90 115 120 70 60 30 23 100 110 95 105 60 110 120 95 90 60 70 LUSE SALT a Use a calculator with mean and sample standard deviation keys to find the sample mean price x in dollars and sample standard deviation s in dollars Round your standard deviation to four decimal places X S b Using the given data as representative of the population of prices of all sleeping bags find a 90 confidence interval for the mean priceu in dollars of all sleeping bags Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places

total amount of berries in the salad 8 The LCD is 16 www 4 my vy uomiy an appropriate ULATION no capitis caunumite i uit v OD Simplify if possible What is the next step in adding fractions when denominators are different OB Simplify if possible OC Add the numerators and the denominators 16 n OA Multiply by 1 using an appropriate notation to express each number in terms of the LCD

or cell bre his may be an advance less such as Overproduction in the body can be gout leukemia or lymphoma Over a period of months an adult male patient has taken seven blood tests for uric acid The mean concentration was X 5 43 mg dl The distribution of uric acid in healthy adult males can be assumed to be normal with o 1 87 mg dl a Find the margin of error for a 95 confidence interval for the population mean concentration of uric acid in mg dl in this patient s blood Round your answer to two decimal places mg dl Find a 95 confidence interval for the population mean concentration of uric acid in mg dl in this patient s blood Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places mg dl b What conditions are necessary for your calculations Select all that apply O uniform distribution of uric acid O is unknown On is large normal distribution of uric acid O is known c Interpret your results in the context of this problem We are 95 confident that the true uric acid level for this patient falls within this interval The probability that this interval contains the true average uric acid level for this patient is 0 95 We are 5 confident that the true uric acid level for this patient falls within this interval The probability that this interval contains the true average uric acid level for this patient is 0 05 d Find the sample size necessary for a 95 confidence level with maximal margin of error E 1 02 for the mean concentration of uric acid in this patient s blood Round your answer up to the nearest whole number blood tests

Compute the amount to be paid for each of the four separate invoices assuming that all invoices are paid within the d Merchandise gross 3 b S C d 5 000 20 000 75 000 10 000 Terms 2 10 n 60 1 15 n 90 1 10 n 30 3 15 n 45 Payment

roblem 6 Find the interval of convergence of the following power series x 6 n 5 n n 1 A 1 11 B 1 11 C 1 11 D 1 11 E 1 11 F 1 11 G 1 11 H 1 11 Problem 6 Select v

Show all calculations tes of point P in the figure below are as shown What is the moment of force F about point P 25 Points P 90 0 F 1 200 lbs 30 X J s in go 905in 30 45 1200 in30 Efy 20ocos 30 1200 45 5

Y P 45 45 F3 10 000 lbs F2 F1 23 000 lbs 1

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

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

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

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

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

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

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

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 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

In a marketing survey a random sample of 724 shoppers revealed that 624 remained loyal to their favorite supermarket during the past year i e did not switch stores LAUSE SALT a Let p represent the proportion of all shoppers who remain loyal to their favorite supermarket Find a point estimate for p Round your answer to four decimal places b Find a 95 confidence interval for p Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to three decimal places The interval should have only two values Keport p along with the margin or error What is the margin of error based on a 95 confidence interval Round your answer to three decimal places

Thirty four small communities in Connecticut population near 10 000 each gave an average of x 138 4 reported cases of larceny per year Assume that o is known to be 43 7 cases per year a Find the margin of error for a 90 confidence interval for the population mean annual number of reported larceny cases in such communities Round your answer to one decimal place Find a 90 confidence interval for the population mean annual number of reported larceny cases in such communities Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place larceny cases b Find the margin of error for a 95 confidence interval for the population mean annual number of reported larceny cases in such communities Round your answer to one decimal place Find a 95 confidence interval for the population mean annual number of reported larceny cases in such communities Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place larceny cases c Find the margin of error for a 99 confidence interval for the population mean annual number of reported larceny cases in such communities Round your answer to one decimal place Find a 99 confidence interval for the population mean annual number of reported larceny cases in such communities Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

me runs per gave the following data for home run percentages percentage is X a S Home run percentages of a sample of 43 professional baseball players 1 6 2 3 1 2 6 4 2 3 0 0 1 8 LUSE SALT 1 9 2 4 0 0 1 8 3 1 3 7 3 2 1 6 4 1 0 0 1 2 hes at bat A andom sample of 43 proressional baseball players 1 7 1 3 2 1 2 7 1 4 4 0 2 1 3 3 1 3 1 5 2 7 2 7 2 5 6 4 1 8 2 7 a Use a calculator with mean and standard deviation keys to find x and s Round your answers to four decimal places puto 00 confidence int 2 0 1 9 1 3 2 6 N al for the pon Istion b Compute a 90 confidence interval for the population mean of home run percentages for all professional baseball players Hint If you use the Student s t distribution table be sure to use the closest d f that is smaller Enter your answer in the form lower limit to upper limit Include the word to Round your answers to two decimal places 0 0 4 1 2 9 1 8 2 2 porcentages for all professional all players

What is the minimal sample size needed for a 95 confidence interval to have a maximal margin of error of 0 09 in the followin scenarios Round your answers up the nearest whole number USE SALT a a preliminary estimate for p is 0 32 b there is no preliminary estimate for p

A random sample of medical files is used to estimate the proportion p of all people who have blood type B LUSE SALT a If you have no preliminary estimate for p how many medical files should you include in a random sample in order to be 850 sure that the point estimate p will be within a distance of 0 06 from p X medical files b Answer part a if you use the preliminary estimate that about 8 out of 90 people have blood type B Round your answer u to the nearest whole number

The following data represent crime rates per 1 000 population for a random sample of 46 neighborhoods in a particular city 53 7 54 4 36 8 25 7 52 9 64 9 31 6 65 3 42 0 77 8 123 7 65 8 93 0 56 6 58 8 67 7 78 9 33 6 74 4 44 7 132 4 70 4 87 9 55 6 154 5 85 1 77 9 84 4 23 7 37 8 41 4 66 0 69 3 34 8 24 5 32 2 77 4 27 8 68 9 74 1 72 0 104 4 62 0 59 2 76 1 38 9 LA USE SALT a Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviations as crimes per 1 000 people Round your answers to four decimal places crimes per 1 000 people crimes per 1 000 people crimes per 1 000 people b Let us say the preceding data are representative of the population crime rates in neighborhoods in this city Compute an 80 confidence interval for u the population mean crime rate as crimes per 1 000 people for all neighborhoods in this city Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place crimes per 1 000 people e Compute a 99 confidence interval for the population mean crime rate as crimes per 1 000 people for all neighborhoods in this city Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

Do you want to own your own candy store With some interest in running your own business and a decent credit rating you can probably get a bank loan on startup costs for franchises such as Candy Express The Fudge Company Karmel Corn and Rocky Mountain Chocolate Factory Startup costs in thousands of dollars for a random sample of candy stores are given below Assume that the population of x values has an approximately normal distribution 96 175 133 100 75 94 116 USE SALT X a Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviations in thousands of dollars Round your answers to four decimal places thousand dollars thousand dollars 100 85 b Find a 90 confidence interval for the population average startup costu for candy store franchises in thousands of dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place thousand dollars

1 or 1 x 1 by sketching a triangle find cos x sin x radians

How much do wild mountain lions weigh Adult wild mountain lions 18 months or older captured and released for the first time in the San Andres Mountains gave the following weights pounds X 72 108 134 130 60 64 Assume that the population of x values has an approximately normal distribution a Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s in pounds Round your answers to four decimal places lb lb S USE SALT b Find a 75 confidence interval for the population average weight in pounds of all adult mountain lions in the specified region Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to one decimal place

How many times would the moon fit across the sky from horizon to horizon 180 image not scale

3 5p Find lim 11 00 4n6 n5 2n 2n n 2n 3n 1 3 5p Find lim n 00 4n 1 5 3P Check existence of the limit lime x 0

X PROBLEM 6 For a function f 0 R f x x In 3p find all asymptotes 5p examine monotonicity and find local extreme values 2p verify if it is surjective

14 4 15 9 1 Determine the LCD The LCD is 45 Determine the second step to subtract fractions when the denominators are different Choose the correct answer be OA Multiply the numerators and denominators by the LCD OB Subtract the numerators and keep the larger denominator OC Subtract the numerators and subtract the denominators Multiply by 1 using an appropriate notation to express each number in terms of the least common O D denominator

em 2 4 points Recall the pre lab candy situation consider two unopened bags of candy one Skittles the other M M s The manufacturers state the distribution of coloured candies is M M S MILK CHOCOLATE 24 blue 19 orange 17 green 13 yellow 13 red 14 brown SKITTLES colours are reportedly distributed evenly meaning each colour red orange green blue yellow and purple has a probability of Assume that both of these unopened bags have the same number of candies If they are opened and mixed and one candy is randomly selected what is the probability it is a Skittle Hint only focus on the colour you need P Skittle blue If rounding use at least four digits after the decimal in your answer

15 9 Determine the first step to subtract fractions when the denominators are different Choose the correct answer below A Find the least common multiple of the denominators That number is the least common denominator LCD OB Subtract the numerators and subtract the denominators n Multiply by 1 using an appropriate notation to express each number in terms of the least common n denominator CD Subtract the numerators and keep the larger denominator Determine the LCD The LCD is 0 0

100 10 8 OB Multiply by 1 using an appropriate notation to express each number in terms of the LCD n OC Simplify if possible D Find the least common multiple of the denominators That number is the least common denominator LCD The LCD is 40 What is the next step in adding fractions when denominators are different OA Add the numerators keeping the same denominators OB Simplify if possible OC Multiply by 1 using an appropriate notation OD Add the numerators and the denominators n to express each number in terms of the LCD n

The eigenvalues of the matrix A O a 1 3 Ob 3 2 1 O c None Od 1 3 2 Clear my choice 3 001 220 1 0 1 are

One of the following functions is a solution of the second linear ODE y 9y 0 a y x cos 3x b y x cos 2x None O d y x cos r C

Suppose we have two strings ABCBDAB and BDCAB What is the longest common subsequence of them B BC ABAB

sinx 0789 7 X 107 0 8 x 7 The standard factored form of integer r 5 733 sinxx lim 20 71 e e 0 q 1 X O using the unique factorization theorem is d 04 O a 23 3 72 O b 13 441 O c 32 72 13 O d 73 32 2 0 Ra 40 40x2 va vb lak laksa azoto 201 20 vb 1 2u 1 e ej ze 0 Ud

An object falls freely in a straight line and experiences air resistance proportional to its speed this means its acceleration is a t kv t where k is a positive constant and v is the object s velocity The speed of the object decreases from 1200 ft s to 1100 ft s over a distance of 1400 ft Approximate the time required for this deceleration to occur Hint Note that a t v t and v t x t Write the velocity of the object as a function of time v t XXX

At noon a child s temperature is 101 2 F and is rising at an increasing rate At 1 p m the child is given medicine After 2 p m the temperature is still increasing but at a decreasing rate The temperature reaches a peak of 103 6 F at 3 p m and decreases to 100 F by 6 p m Draw a possible graph of the function T t the child s temperature at time t Choose the correct graph below O A AT t 105 100 noon 5 t 10 Q G OB AT t 105 100 noon Q Q O C 105 100 AT t noon Q OD 105 AT 1 100 noon Q G

Devise an exponential decay function that fits the given data then answer the accompanying question Be sure to identify the reference point t 0 and units of time The homicide rate decreases at a rate of 3 per year in a city that had 900 homicides yr in 2006 At this rate when will the homicide rate reach 800 homicides yr What is the reference point t 0 OA the initial number of homicides 900 B the rate 3 C the year 2006 OD the future number of homicides 800 What are the units of time A years B percents C cities OD homicides yr Write the exponential decay function y t 900 0 030 Type an expression Round coefficients to three decimal places as needed In what year will the homicide rate reach 800 homicides yr final answer Then round to the nearest whole number as needed