Questions

1 What do you see What is the Stress type Compression Tension or Shear What is the Strain type Elastic Plastic or Brittle What is the Fault tyne 2 Normal Reverse Thrust or Strike

In the Mental Health Surveillance Study clinicians interviewed a very large random sample of American adults so as to diagnose the presence of mental disorders in the prior 12 months There are many types of mental disorders and a person can suffer from more than one Let X represent the number of mental disorders a person has experienced in the past year Based on this study we can assign the following probability distribution to X in the American adult population 0 1 2 3 4 or more P X 0 775 0 149 0 041 0 022 0 013 Side by Side X 1 Revised estimates of mental illness from the National Survey on Drug Use O Macmillan Learning Obtain the following probabilities Give your answers to three decimal places P X 2 P X 2 P X 2

ifferentiate y 6x x 5

X x 12 Compute f g x where f x f g x and g x x

A function h x is defined in terms of a differentiable f x Find an expression for h x h x 8 X 7

Find the derivative of f x f x sin

Find all x coordinates of points x y on the curve y X x 7 5 x 5 opowers as needed where the tangent line is horizontal

Find the derivative of 8 f x 9x cos h f x x cos

Find the derivative of f t F f t

Macmillan Learning Choose a postmenopausal woman at random The probability is 0 40 that the woman chosen has osteopenia low bone density and 0 07 that she has osteoporosis pathologically low bone density Otherwise her bone density is considered healthy What is the probability that a randomly chosen postmenopausal woman has a healthy bone density Provide your answer to two decimal places P healthy bone density What is the probability that a randomly chosen postmenopausal woman has some problem with low bone density osteopenia or osteoporosis Provide your answer to two decimal places P low bone density

A January 2010 SurveyUSA poll asked a random sample of adults living in the state of Washington the following question State lawmakers are considering making marijuana possession legal Do you think legalizing marijuana is a good idea or a bad idea Of the 500 adults interviewed VariableError said good idea A separate January 2010 Survey USA poll asked a random sample of adults living in San Diego California area Do you think marijuana should or should not be legal when used for recreational purposes Of the 500 adults interviewed VariableError said should Results may be modified for instructional purposes millan Learning In what way do these two surveys differ Explain how these differences might explain the apparent difference of opinion

Macmillan Learning Many random number generators allow users to specify the range of the random numbers to be produced Suppose that you specify that the random number Y can take any value between 0 and 2 Therefore the density curve of the outcomes has constant height between 0 and 2 and height 0 elsewhere Use the graph of the density curve and the fact that probability is area under the curve to find P Ys 1 P Y 1

Anorexia nervosa is an eating disorder characterized in part by the fear of becoming fat and by voluntary starvation it often leads to death from suicide or organ failure A Canadian study surveyed 691 adolescent girls diagnosed with anorexia nervosa and their families The figure shows the density curve solid line summarizing the histogram of the data dotted line The density curve has been chopped into three parts shown in different shades Under U years W4 12 Obut und 16 years old Ageat at of 16 years old more 11 Macmillan Learning If we let X represent the age at onset of anorexia describe the event 13 X 16 in words O Anorexia onset before age 13 or at age 16 O Anorexia onset at age 13 or greater but before age 16 O Anorexia onset at age 13 or at age 16 O Anorexia onset after age 13 but before age 16 What is its probability Enter your answer rounded to two decimal places P 13 X 16

Anorexia nervosa is an eating disorder characterized in part by the fear of becoming fat and by voluntary starvation it often leads to death from suicide or organ failure A Canadian study surveyed 691 adolescent girls diagnosed with anorexia nervosa and their families The figure shows the density curve solid line summarizing the histogram of the data dotted line The density curve has been chopped into three parts shown in different shades Under 13 years HE Oper unded to Age of a Wyd mor Macmillan Learning What is the probability that the age at onset for a randomly chosen adolescent girl is some time after the 13th birthday Enter your answer rounded to two decimal places probability Write this event in terms of X OX 13 O X 13 O X 13 O X 13

To track epidemics the CDC requires physicians to report all cases of important transmissible diseases In 2014 for instance a total of 350 062 cases of the sexually transmitted disease gonorrhea were officially reported The table presents the information on how they break down by the age group of the diagnosed patient Age group years 0 14 15 19 20 24 25 29 30 39 40 or older Percent of gonorrhea cases 1 19 33 20 17 10 Macmillan Learning What is the probability that a randomly selected gonorrhea case that year was a patient in his or her 20s age 20 to 29 Enter your answer rounded to two decimal places P age 20 to 29 I

L The property that defines the golden ratio is 1 L What is the value of 5 2 1 L 1 Simplify your answer Type an exact answer using radicals as needed 0 0 Does a true statement result No Yes Complete parts a through b below Substitute the value of for L into the rearranged equation and simplify the left side

Side by Side Many random number generators allow users to specify the range of the random numbers to be produced Suppose that you specify that the random number Y can take any value between 0 and 2 Therefore the density curve of the outcomes has constant height between 0 and 2 and height O elsewhere O Macmillan Learning Identify the correct graph of the density curve Using the density curve graph what is the height of the density curve between 0 and 2 height of the density curve I

Manatees are an endangered species of herbivorous aquatic mammals found primarily in the rivers and estuaries of Florida As part of its conservation efforts the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters Of the 392 recorded manatee deaths in 2012 68 were perinatal and 81 were caused by collision with a watercraft 1 Florida Fish and Wildlife Conservation Commission Marine Mammal Pathobiology Laborabotry Final Manatee Mortality Table 2012 Macmillan Learning What is the probability that the cause of death was due to perinatal problems or collision with a watercraft What is the probability that it was due to some other cause Provide your answers to four decimal places P perinatal or collision P other cause

A large governmental survey of dental care among children 2 to 17 years old found the following distribution of times since the last visit to the dentist Time since last visit 6 months or less More than 6 months but no more than 1 year More than 1 year but no more than 2 years More than 2 years but no more than 5 years More than 5 years Probabili ty 0 57 0 18 0 08 0 03 1 A N Dey and B Bloom Summary health statistics for U S children National Health Interview Survey 2003 Vital Health Statistics 10 2005 Table 17 Macmillan Learning What is the probability that a child has not seen a dentist in more than 5 years Give your answer to two decimal places P more than 5 years

A January 2010 SurveyUSA poll asked a random sample of adults living in the state of Washington the following question State lawmakers are considering making marijuana possession legal Do you think legalizing marijuana is a good idea or a bad idea Of the 500 adults interviewed 305 said good idea A separate January 2010 Survey USA poll asked a random sample of adults living in San Diego California area Do you think marijuana should or should not be legal when used for recreation l purposes Of the 500 adults interviewed 215 said should Results may be modified for instructional purposes Macmillan Learning What percent of respondents seemed to support the idea of legalizing marijuana in the poll for the state of Washington Provide your answer as a percent with precision to one decimal place Incorre of respondents are in favor of legalizing marijuana What percent of respondents seemed to support the idea of legalizing marijuana in the poll for the San Diego area Provide your answer as a percent with precision to one decimal place Atte of respondents are in favor of legalizing marijuana

Government data assign a single cause for each death that occurs in the United States The data show that among persons aged 15 to 24 years the probability is 0 41 that a randomly chosen death was an accident 0 16 that it was a homicide and 0 15 that it was a suicide Macmillan Learning What is the probability that a death was either an accident a homicide or a suicide Provide your answer to two decimal places P accident homicide or suicide What is the probability that the death was due to some other cause Provide your answer to two decimal places P other cause

Manatees are an endangered species of herbivorous aquatic mammals found primarily in the rivers and estuaries of Florida As part of its conservation efforts the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters Of the 392 recorded manatee deaths in 2012 68 were perinatal and 81 were caused by collision with a watercraft cmillan Learning 1 Florida Fish and Wildlife Conservation Commission Marine Mammal Pathobiology Laborabotry Final Manatee Mortality Table 2012 What is the probability that the death was not due to collision with a watercraft Provide your answer to four decimal places R not collision

The CDC provides the breakdown of the sources of infection leading to hepatitis C in Americans Here are the probabilities of each infection source for a randomly chosen individual with hepatitis C 1 Source of infection Intravenous drug use Unprotected sex Transfusion before screening Unknown or other Occupational Probabilit y 0 60 0 15 0 10 0 11 1 Health Resources and Services Administration Providing HIV AIDS care in a changing environment Hepatitis C and HIV co infection September 2003 Macmillan Learning What is the probability that a person with hepatitis C was infected through a known risky behavior intravenous drugs or unprotected sex Provide your answer to two decimal places P intravenous drugs or unprotected sex

Insulin injections and oral medication are two key options in diabetes treatment The 2014 National Diabetes Statistics Report provides the breakdown of diabetes treatments among American adults with diagnosed diabetes as shown in the following table Diabetes treatment Insulin only Both insluin and oral medication Oral medication only Neither insulin nor oral medication Perce nt 14 0 14 7 56 9 14 4 1 National diabetes statistics report 2014 CDC www cdc gov diabetes Macmillan Learning What is the probability that a randomly selected American adult diagnosed with diabetes is treated with insulin either alone or combined with oral medication Give your answer in decimal form with precision to three decimal places probability I

Match the heart valves with their function Pulmonary semilunar valve Mitral bicuspid valve Tricuspid valve Aortic semilunar valve Prevents backflow into right ventricle Prevents backflow into left ventricle Prevents backflow into left atrium Prevents backflow into right atrium CUTIVOLI TRO DOCT I

1 Given the data below 1 31 X f x 10 32 8 25 33 8 a Find curve of best fit and value for r 37 34 2 60 34 7 b Use the equation from part a to find when f x 40 88 35 1

Differentiate the following function X 7 y 5x 6 d X 7 dx 5x 6 11

a Using the pairs of values for all 10 points find the equation of the regression line b After removing the point with coordinates 1 8 use the pairs of values for the remaining 9 points and find the equation of the regression line c Compare the results from parts a and b a What is the equation of the regression line for all 10 points y x Round to three decimal places as needed b What is the equation of the regression line for the set of 9 points y Round to three decimal places as needed c Choose the correct description of the results below 10 Ay 6 4 2 0 0246

1 point Match the structure function with the correct formed element Nucleus has two lobes contains granules of lysosomal enzymes functions in attacking parasitic worms and plays complex roles in inflammatory diseases like allergies and asthma Transports CO2 and oxygen Nucleus is multilobed functions as a phagocyte contains fine indistinct granules Largest of the WBCs crucial in defense against viruses associated with chronic infections Contains a U or an S shaped nucleus granules stain very dark releases histamine and heparin Eosinophil Erythrocyte Neutrophil Monocyte Basophil

Question 6 of 10 O A a Use a graphing utility to graph f x 0 3x4 0 4x3 0 7x 3 on the interval 3 2 and approximate any local maxima and local minima b Determine where f is increasing and where it is decreasing a Using a graphing utility graph the function for 3 x 2 and 5sys 10 Choose the correct graph below O C Q Q O B Use MAXIMUM to find the local maximum of the graph The local maximum occurs at x and has a value of y Round to two decimal places Use MINIMUM to find the local minima of the graph This quiz 36 point s possible This question 4 point s possible Q Q The local minima occur at x and at x2 and have values of y and y2 Round to two decimal places Use the smaller x value as x Where is the graph of f increasing Q E Submit qu

d f x dx g x Suppose that f x and g x are differentiable functions such that f 7 1 f 7 3 g 7 6 and g 7 4 Find d f x dx g x theas Simplify your answer 1x 7 DEFEND

A sugar refinery can produce x tons of sugar per week at a weekly cost of 0 1x2 4x 1690 dollars Find the level of production for which the average cost is at a minimum and determine the average cost and marginal cost at that level production The level of production for which the average cost is at a minimum is x tons CCCL

Solve each triangle Round your answers to the nearest tenth 7 m B 27 a 28 ft b 18 ft 8 m C 54 b 24 km c 23 km

13 14 The source of blood carried to capillaries in the myocardium would be the 15 1 point The fact that the left ventricle of the heart is thicker than the right ventricle reveals that it 0000 Aorta Coronary veins Coronary arteries Pulmonary veins Pumps a greater volume of blood Sends blood through a smaller valve Expands the thoracic cage Pumps blood against a greater resistance 1 point If the length of time between action potentials in cardiac muscle cells was the same as it is for skeletal muscle cells Tetanic contractions might occur which would stop the heart s pumping action It would be much longer before cardiac cells could respond to a second stimulation Contractions would last as long as the refractory period Pacemaker cells would cease to spontaneously depolarize 1 point Compared to skeletal muscle cardiac muscle Lacks striations Cells are larger than skeletal muscle cells

x 1 3bx 13bx 6x 1x 1 x ax 3

x 7 8 x 3 6 Find all x coordinates of points x y on the curve y X Use a comma to separate answers as needed where the tangent line is horizontal

the number of possible triangles that can be formed using the given measurements 1 mA 110 c 19 cm a 32 cm 2 mA 131 a 25 yd c 8 yd 3 m B 100 a 33 km h 29 km 1 4 m B 61 a 35 mi b 32 mi

A function h x is defined in terms of a differentiable f x Find an expression for h x f x 8 x 7 h x h x

The graph of the following function is shown to the right for x 0 13x 1 0 25x Find the coordinates of the maximum point y The coordinates of the maximum point are Simplify your answer Type an ordered pair C G

The width of a rectangle is increasing at a rate of 6 inches per second and its length is increasing at the rate of 5 inches per second At what rate is the area of the rectangle increasing when its width is 7 inches and its length is 9 in Let W t and L t be the width and length respectively at time t The rate that the area of the rectangle is increasing is in s Simplify your answer

d y x x 4 5 x x 4 5

Identify the labeled structures on the diagram below C B A D Pulmonary veins Mitral bicuspid valve Right atrium Tricuspid valve Left ventricle

Use the quotient rule to find the derivative of the following 7x 5 9 y dy dx 11

Find the equation of the tangent line to the curve y x 3 x 3 2 at the point 4 49 The equation of the tangent line to the curve at the given point is y Type an expression using x as the variable

This exercise uses the exponential growth model A species of bird was introduced in a certain county 35 years ago Biologists observe that the population doubles every 9 years and now the population is 17 000 a What was the initial size of the bird population Round your answer to the nearest whole number birds b Estimate the bird population 7 years from now Round your answer to the nearest whole number birds 6 Sketch a graph of the bird population Assume t 0 corresponds to the initial introduction

An open rectangular box is 2 feet long and has a surface area of 96 square feet Find the dimensions of the box for which the volume is as large as possible The width of the box is feet

Match the following Parietal layer Myocardium Epicardium Endocardium Inner lining of the heart Heart muscle Serous layer covering heart muscle Outermost layer of serous pericardium

Differentiate the following function y x 1 4x 3 x 1 4x 3 dx

4 Write below what are the values of the mean median mode standard deviation variance skewness and kurtosis of this data Mean 201 5000 Median 202 5000 Mode 145 00 Standard Deviation 31 20813 ms Variance 973 947 Skewness 1512

Which of the following is not a characteristic that contributes to erythrocyte gas transport functions Produces energy anaerobically Performs mitosis Few organelles provide room for hemoglobin