Questions

If f x log4 2x 7 and g x log4 3 find a value for x that satisfies f x g x Use the Numeric Grid to type the solution X 0 00000 0000 0000000 000000 0 00000 2 3 3

2x 3x 2 5x 22x 15 2x 15 Spronks F 22 687 25

Question 1 2 Solve the equation 4 3 2x 6 7 O X O O x 6 O No Solution X 6 8 x

Question 1 7 Write the following expression in condensed form 1 log 8 log x 2 O log O log 8 X 2 8 log 8x log 8 x

8x x 2 x 49

triangular shaped area that forms a right triangle The longer side of the triangle is eleven feet less than twice the shorter side The hypotenuse is three feet less than twice the shorter side How many feet of fencing will Jim need to complete the fence O O 96 feet 126 feet 53 feet none of these choices 45 feet d 12 feet 28 feet

A fireworks show is concerned that the fireworks will explode inside some clouds that are hovering above the area The clouds are hovering at 700 feet If the fireworks are launched from a platform 35 feet above the ground at a speed of 215 feet per second how long does it take to get to the clouds on its way up O 4 8 seconds 8 6 seconds 14 5 seconds 3 2 seconds none of these choices 7 3 seconds

A ball is launched from 7 meters above the ground into the air at a rate of 24 meters per second How high can you expect this ball to be after 2 5 seconds O O 35 4 meters 2 7 seconds 35 4 feet 41 2 meters 5 7 meters 807 4 feet 1 none of these choices

evaluate 4 3 If needed round correctl to hundredth 2 DIGITS PASSED THE DECIMAL Type a response

K Current rules for telephone area codes allow the use digits 2 9 for the first digit and 0 9 for the second and third digits but the last two digits cannot both be 1 to avoid confusion with area codes such as 911 How many different area codes are possible with these rules That same rule applies to the exchange numbers which are the three digits immediately preceding the last four digits of a phone number Given both of those rules how many 10 digit phone numbers are possible Given that these rules apply to the United States and Canada and a few islands are there enough possible phone numbers Assume that the combined population is about 400 000 000 How many possible area codes are there Type a whole number CXXE

Winning this bet if you randomly select the horses The possibility of winning this bet when randomly selecting the horses is Round to five decimal places as needed A Certain Horse race had a field of 18 horses What is the probability

K A corporation must appoint a president chief executive officer CEO chief operating officer COO and chief financial officer CFO It must also appoint a planning committee with three different members T are 11 qualified candidates and officers can also serve on the committee Complete parts a through c below a How many different ways can the four officers be appointed different ways to appoint the four officers There are E

Consider the matrix A TO 0 0 0 1 1 1 1 1 1 Find a basis of the orthogonal complement of the column space of A

may need to use the appropriate appendix table or technology to answer this question ording to a 2018 survey by Bankrate com 20 of adults in the United States save nothing for retirement CNBC website Suppose that 15 adults in the United States are selected randomly Is the selection of the 15 adults a binomial experiment Explain The selection is outcomes possible a binomial experiment because the adults are selected randomly p does not change b What is the probability that all of the selected adults save nothing for retirement Round your answer to four decimal places 0 0000 from trial to trial the trials are independent c What is the probability that exactly eight of the selected adults save nothing for retirement Round your answer to four decimal places X d What is the probability that at least one of the selected adults saves nothing for retirement Round your answer to four decimal places 0 9648 and there are 2

For the following function a give the coordinates of any critical points and classify each point as a relative maximum a relative minimum or neither b identify intervals where the function is increasing or decreasing c give the coordinates of any points of inflection d identify intervals where the function is concave up or concave down and e sketch the graph g x x 9x 15x 5 SIDE b On what interval s is g increasing or decreasing Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The function is increasing on The function is decreasing on Simplify your answers Type your answers in interval notation Use a comma to separate answers as needed OB The function is decreasing on The function is never increasing Simplify your answer Type your answer in interval notation Use a comma to separate answers as needed OC The function is increasing on The function is never decreasing Simplify your answer Type your answer in interval notation Use a comma to separate answers as needed OD The function is never increasing or decreasing c What are the coordinates of the inflection point s Select the correct choice below and if necessary fill in the answer box to complete your choice OA The coordinates of the inflection point s are Simplify your answer Type an ordered pair Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed OB There are no inflection points d On what interval s is g concave up or concave down Select the correct choice below and fill in the answer box es to complete your choice Simplify your answer Type your answer in interval notation Use a comma to separate answers as needed OA The function is concave down on and s never concave up

ASK YOUR TEACHER PRACTICE ANOTHER Richard has just been given an 8 question multiple choice quiz in his history class Each question has five answers of which only one is correct Since Richard has not attended class recently he doesn t know any of the answers Assuming that Richard guesses on all eight questions find the indicated probabilities Round your answers to three decimal places LUSE SALT a What is the probability that he will answer all questions correctly b What is the probability that he will answer all questions incorrectly c What is the probability that he will answer at least one of the questions correctly Compute this probability two ways First use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table Then use the fact that P r 1 1 P r 0 Compare the two results Should they be equal Are they equal If not how do you account for the difference O They should be equal but differ substantially MT NOTES O They should not be equal but are equal O They should be equal but may differ slightly due to rounding error O They should be equal but may not be due to table error d What is the probability that Richard will answer at least half the questions correctly

You may need to use the appropriate appendix table or technology to answer this question A university found that 10 of its students withdraw without completing the introductory statistics course Assume that 20 students registered for the course Round your answers to four decimal places a Compute the probability that 2 or fewer will withdraw b Compute the probability that exactly 4 will withdraw c Compute the probability that more than 3 will withdraw d Compute the expected number of withdrawals

You may need to use the appropriate appendix table or technology to answer this question According to a 2018 survey by Bankrate com 20 of adults in the United States save nothing for retirement CNBC website Suppose that 15 adults in the United States are selected randomly a Is the selection of the 15 adults a binomial experiment Explain The selection Select a binomial experiment because the adults are selected Select Select from trial to trial the trials are b What is the probability that all of the selected adults save nothing for retirement Round your answer to four decimal places c What is the probability that exactly eight of the selected adults save nothing for retirement Round your answer to four decimal places d What is the probability that at least one of the selected adults saves nothing for retirement Round your answer to four decimal places Select and there are outcomes possible

A firm s marginal profit P as a function of its total cost C is given by the equation below a Find the profit function P C if P 8 when C 143 b At what cost will the firm break even P 0 dP dC a P C 240 C 1 3 2 480 1 32 C 1 Type an exact answer using radicals as needed b The firm breaks even when C Simplify your answer

Differentiate the function y 4x 13 11

Find 2 dx y 4x 1 d y 11

X 70 Step 8kp1 Hypothesis H 72 Ha 72 Step 2 Step 3 n 50 Critical value Zen 2 32 X 4 m Step 4 Decision rule Step 5 conclusion We can cont 7 30 05 u 72 50 24 70 72 12 2 1 1787 Zex 2 32 NI 1 17 Reject to i 148 1 2 Zen So auer

For the following double integral find the average value of the function in the integrand over the region defined by the bounds of integration 87 9y dx dy

The mean percent of childhood asthma prevalence in 43 cities is 2 38 A random sample of 34 of these cities is selected What is the probability that the mean childhood asthma prevalence for the sample is greater than 2 7 Interpret this probability Assume that o 1 38 The probability is Round to four decimal places as needed

A drug tester claims that a drug cures a rare skin disease 80 of the time The claim is checked by testing the drug on 100 patients If at least 73 patients are cured the claim will be accepted Find the probability that the claim will be rejected assuming that the manufacturer s claim is true Use the normal distribution to approximate the binomial distribution if possible The probability is Round to four decimal places as needed

For the following function a give the coordinates of any critical points and classify each point as a relative maximum a relative minimum or neither b identify intervals where the function is increasing or decreasing c give the coordinates of any points of inflection d identify intervals where the function is concave up or concave down and e sketch the graph k x 6x 16x SELLE a What are the coordinates of the relative extrema Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The relative minimum point s is are and the relative maximum point s is are Simplify your answers Use integers or fractions for any numbers in the expression Type an ordered pair Use a comma to separate answers as needed OB The relative minimum point s is are and there are no relative maximum point s Simplify your answer Use integers or fractions for any numbers in the expression Type an ordered pair Use a comma to separate answers as needed OC The relative maximum point s is are and there are no relative minimum point s Simplify your answer Use integers or fractions for any numbers in the expression Type an ordered pair Use a comma to separate answers as needed OD There are no relative minimum points and there are no relative maximum points

ata Using Excel please find the mean and standard deviation for the following sample of data Use the unbiased estimator formula for the sample for standard deviation Assume that these statistics are your best estimates for the population parameters After finding the means and standard deviation perform a one sample z test to determine if a group mean of 25 is an outlier Use alpha 05 one tailed Please draw the bell curve Mark the center with a line include the mean mark the standard deviations and the approximate points of the critical values Determine where the observed value falls relative to the critical value 1 1 1 1

About 5 of hourly paid workers in a region earn the prevailing minimum wage or less A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less Complete parts a through c below a Company A has 278 employees What is the probability that Company A will get the discount Round to four decimal places as needed

Carries oxygen rich blood from lungs Major artery of the thigh Supplies blood to face tongue teeth and nasal cavity Major artery of upper arm 1 Brachial artery Femoral artery Pulmonary artery Internal carotid artery Pulmonary vein External carotid artery

Decide whether you can use the normal distribution to approximate the binomial distribution If you can use the normal distribution to approximate the indicated probabilities and sketch their graphs If you cannot explain why and use the binomial distribution to find the indicated probabilities A survey of adults found that 6 say their favorite sport is auto racing You randomly select 500 adults and ask them to name their favorite sport Complete parts a through d Determine whether a normal distribution can be used to approximate the binomial distribution Choose the correct answer below OA No because nq 5 B Yes because both np 25 and nq 25 C No because np 5 a Find the probability that the number of people who say auto racing is their favorite sport is at most 36 Round to four decimal places as needed

CHAPTER 7 EXCEL ASSIGNMENT You are ordering new computers from COMPWORLD They offer you a choice of discount plans Plan A offers you 14 10 and Plan B offers you 25 4 IMPORTANT Please be sure you enter the values correctly for the discount such as 0 14 and 0 10 for Plan A and 0 25 and 0 04 for Plan B into the Spreadsheet Which of the plans is best for you Create an excel spreadsheet similar the one displayed above to show which plan is best for you

The short term controls of blood pressure mediated by the nervous system and bloodborne chemicals primarily operate via all except O O O 5 Reflexes mediated by sympathetic fibers Reflexes mediated by baroreceptors Altering blood volume Chemoreceptors 0 1 point The influence of blood vessel diameter on peripheral resistance is Significant because resistance is directly proportional to blood vessel diameter Insignificant because vessel diameter does not vary The only factor that influences resistance Significant because resistance is inversely proportional to the fourth power of the vessel radius

3 1 5 points Match the following Major supply to cerebral cortex Gives rise to right common carotid and right subclavian artery Combine to become the basilar artery Branch of abdominal aorta that supplies liver stomach and spleen Supplies a lower limb 14 15 points Match the following Carries oxygen rich blood from lungs Major artery of upper arm Major artery of the thigh Brachiocephalic trunk Internal carotid artery Vertebral arteries External iliac artery Celiac trunk

Supplies a lower limb Major supply to cerebral cortex Branch of abdominal aorta that supplies liver stomach and spleen Gives rise to right common carotid and right subclavian artery Combine to become the basilar artery External iliac artery Brachiocephalic trunk Celiac trunk Vertebral arteries Internal carotid artery

Major artery of upper arm Supplies blood to face tongue teeth and nasal cavity Carries oxygen rich blood from lungs Major artery of the thigh 1 Internal carotid artery Pulmonary artery Pulmonary vein Brachial artery Femoral artery External carotid artery

Suppose that we have a sample space with five equally likely experimental outcomes E E E3 E4 E5 Let A E E3 B E E C E E3 E5 a Find P A P B and P C P A 2 5 P B 2 5 P C 3 5 b Find P AUB P AUB 4 5 Are A and B mutually exclusive They are c Find AC Enter your answer in set notation AC M X Find C Enter your answer in set notation CC Find P AC and P C P AC 3 5 P C 2 5 mutually exclusive d Find A U BC Enter your answer in set notation AUBC Find P A U BC P AUBC 3 5 e Find P BUC P BUC 4 5 X X K

A water footprint is a measure of the appropriation of fresh water The per capita water footprint in mega gallons in a certain country for a recent year can be approximated by a normal distribution as shown in the figure a What water footprint represents the 85th percentile b What water footprint represents the 26th percentile c What water footprint represents the third quartile 6 28 H 1 72 Mgal G 2 86 Mgal 1 72 Mega gallons a The water footprint that represents the 85th percentile is 4 69 Mgal Round to two decimal places as needed X 9 72 b The water footprint that represents the 26th percentile is 0 54 Mgal Round to two decimal places as needed S

MY NOTES b If we chose an alumnus at random what is the probability that the alumnus would say their experience met or surpassed expectations Clarkson University surveyed alumni to learn more about what they think of Clarkson One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations met expectations or surpassed expectations The results showed that 5 of the respondents did not provide a response 22 said that their experience fell short of expectations and 65 of the respondents said that their experience met expectations a If we chose an alumnus at random what is the probability that the alumnus would say their experience surpassed expectations ASK YOUR TEACHER PRACTICE ANOTHER

Fill in the blank Class width is found by Choose the correct answer below OA subtracting a lower class limit from the next consecutive lower class limit OB subtracting the lower limit of one class from the upper limit of that same class OC subtracting the smallest value in the data set from the largest value in the data set D adding the lower class limit to the upper class limit and dividing by two

Assume that each year the IRS randomly audits 30 of the tax returns If a married couple has filed separate returns answer the following questions a What is the probability that both the husband and the wife will be audited b What is the probability that only one of them will be audited c What is the probability that neither one of them will be audited d What is the probability that at least one of them will be audited

A recent survey examined the use of social media platforms Suppose the survey found that there is a 0 62 probability that a randomly selected person will use Facebook and a 0 29 probability that a randomly selected person will use LinkedIn In addition ASK YOUR TEACHER PRACTICE AN suppose there is a 0 23 probability that a randomly selected person will use both Facebook and LinkedIn a What is the probability that a randomly selected person will use Facebook or LinkedIn b What is the probability that a randomly selected person will not use either social media platform MT NOTES

The influence of blood vessel diameter on peripheral resistance is The only factor that influences resistance Significant because resistance is inversely proportional to the fourth power of the vessel radius Insignificant because vessel diameter does not vary Significant because resistance is directly proportional to blood vessel diameter 6 1 point Factors that aid venous return include all except 7 1 point Which of the following statements is correct 0000 Urinary output Pressure changes in the thorax Activity of skeletal muscles Venous valves 000 Hydrostatic pressure will drop as blood moves away from the arteriole end of the capillary bed Hydrostatic pressure will rise as blood moves away from the arteriole end of the capillary bed Hydrostatic pressure will remain constant throughout the capillary bed Osmotic pressure will be lower in the arteriole end of the capillary bed compared to the 8 1 point The velocity and pressure of blood is slowest and lowest in the capillary beds Which of the following is not an accurate description of the I slow low pressure blood in the capillary beds Lower pressure reduces the chance of injury to delicate capillary vessels Lower pressure on the venous end of the capillary bed allows for greater reabsorption of fluid back to the plasma bed helps to increase pressure in the venous circulation

ssume that we have two events A and B that are mutually exclusive Assume further that we know P A 0 30 and P B 0 40 a What is P A n B P An B b What is P A B P A B with the student MY NOTES c A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same and that if events are mutually exclusive they must be independent Do you agree with this statement Use the probability informatic in this problem to justify your answer Events A and B are not independent because P AB P A therefore I disagree d What general conclusion would you make about mutually exclusive and independent events given the results of this problem Mutually exclusive events are Select ASK YOUR TEACHER PRACTICE ANOTHE

Suppose that we have a sample space with five equally likely experimental outcomes E E E3 E4 E5 Let A E E3 B E E C E E3 E5 a Find P A P B and P C P A 2 5 P B 2 5 P C 3 5 b Find P A U B P AUB X Are A and B mutually exclusive They are c Find AC Enter your answer in set notation AC Find C Enter your answer in set notation c Find P AC and P CS P AC 3 5 P C 2 5 mutually exclusive d Find A U BC Enter your answer in set notation AUBC Find P A U BC P A U BC e Find P B UC P BUC x X K

D 1 Decreasing osmotic pressure in capillaries and causing edema swelling in tissues Increasing blood volume and hydrostatic pressure in capillaries thereby increasing blood pressure Increasing hydrostatic pressure in capillaries and causing edema swelling in tissues Decreasing blood volume and osmotic pressure in capillaries thereby increasing blood pressure 1 point Which of the following would not be expected from taking a diuretic drug Lower plasma volume Increased heart rate Decreased blood pressure Increased urine output plasma would alter capillary exchange by 1 point Which of the following is least involved in pulmonary circulation Superior vena cava Right ventricle Pulmonary arteries and veins Left atrium 2 1 point A thrombus blood clot in the first branch of the arch of the aorta would affect the flow of blood to the Myocardium of the heart Left side of head and neck

You plan to invest in an account which pays 4 compounded continuously If the investment period is for 5 years then A P Pe0 04 5 Pe0 2 gives the total balance of P dollars a Find a formula for A P b Find and interpret A 2000 c Compare the approximation to the actual change a A P Type an exact answer in terms of e

In 2004 an art collector paid 106 436 000 for a particular painting The same painting sold for 29 000 in 1950 Complete parts a through d SICEER a Find the exponential growth rate k to three decimal places and determine the exponential growth function V for which V t is the painting s value in dollars t years after 195 V t 290000 1521 Type an expression Type integers or decimals for any numbers in the expression Round to three decimal places as needed b Predict the value of the painting in 2023 Round to the nearest million as needed

Find the relative extreme points of the function if they exist Then sketch a graph of the function 16 2 x 4 G x Identify all the relative maximum points Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The relative maximum point s is are Simplify your answer Use integers or fractions for any numbers in the expression Type an ordered pair Use a comma to separate answers as nee B There are no relative maximum points

x 3 x 1 6 LX

In a study of helicopter usage and patient survival among the 44 869 patients transported by helicopter 259 of them left the treatment center against medical advice and the other 44 610 dic leave against medical advice If 40 of the subjects transported by helicopter are randomly selected without replacement what is the probability that none of them left the treatment center agai medical advice The probability is Round to three decimal places as needed