Questions

Problem 1 Using the method of trigonometric substitution to evaluate each of the following integrals Express the final answer in terms of the variable 1 a 4x2 dx

In a clinical trial of 2103 subjects treated with a certain drug 21 reported headaches In a control group of 1693 subjects given a placebo 22 reported headaches Denoting the proportion of headaches in the treatment group by P and denoting the proportion of headaches in the control placebo group by pc the relative risk is p pe The relative risk is a measure of the strength of the effect of the drug treatment Another such measure is the odds ratio which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for P 1 Pt Pc 1 Pc the control placebo group found by evaluating The relative risk and odds ratios are commonly used in medicine and epidemiological studies Find the relative risk and odds ratio for the headache data What do the results suggest about the risk of a headache from the drug treatment Find the relative risk for the headache data The relative risk Round to three decimal places as needed

a What is the probability that Mike will guess correctly Ignore leap years 1 365 Type an integer or a simplified fraction b Would it be unlikely for him to guess correctly on his first try A No it is not unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very high OB It is impossible for Mike to guess correctly on his first try as the probability of a correct guess is 0 OC No it is not unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very lov OD Yes it is unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very high OE Yes it is unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very low OF It is impossible for Mike to not guess correctly on his first try as the probability of a correct guess is 1

Problem 1 Evaluate each of the following integrals show all necessary details a f sin x cos x dx

Use the given probability value to determine whether the sample results could easily occur conclusion In an SHRM survey of 410 human resource workers it was found that 148 of these workers have turned down job applicants because of information they found on social media A job recruiter claims that less than 50 of human resource professionals have turned down job applicants because of information found on social media If the true rate is 50 there is a 0 00000000978 probability of getting 148 or fewer human resource professionals who turn down job applicants because of information found on social media If the true rate is 50 is the result of 148 significantly low What does that suggest about the claim that the rate is less than 50 The result of 148 significantly low because the probability is then loma 0 05 This suggests

Solve the logarithmic equation algebraically Approximate the result to three decimal places If there is no solution enter NO SOLUTION X 16 In x 8

probability value to determine whether the sample results could easily occur by chance then form a A study addressed the issue of whether pregnant women can correctly predict the gender of their baby Among 104 pregnant women 57 correctly predicted the gender of their baby If pregnant women have no such ability there is a 0 327 probability of getting such sample results by chance What do you conclude conclusion The probability shows that the sample results have easily occurred by chance It appears that there sufficient evidence to conclude that pregnant women can correctly predict the gender of their baby

Based on Priceonomics data describing 49 deaths while taking selfies it was found that 37 of those deaths were males Assuming that males and females are equally likely to have selfie deaths there is a 0 000235 probability getting 37 or more males Is the result of 37 males significantly low significantly high or neither Does the result suggest that male selfie deaths are more likely than female selfie deaths This result is suggests male selfie deaths are because the probability is female selfie deaths 0 05 This

K Men have XY or YX chromosomes and women have XX chromosomes X linked recessive genetic diseases such as juvenile retinoschisis occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective Represent a defective X chromosome with lowercase x so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease Each parent contributes one of the chromosomes to the child Complete parts a through d below a If a father has the defective x chromosome and the mother has good XX chromosomes what is the probability that a son will inherit the disease 0 Type an integer or a decimal Do not round b If a father has the defective x chromosome and the mother has good XX chromosomes what is the probability that a daughter will inherit the disease Type an integer or a decimal Do not round

1 Complete the chart below to create a frequency distribution from the set of scores using Exhibit 1 1 2 Using the numbers in Exhibit 1 1 If you want to end up with four bars on your histogram how many numbers should be in each interval Demonstrate how to figure the problem 5 pnts 3 Using the numbers in Exhibit 1 1 determine the mean 5 pnts 4 Using the numbers in Exhibit 1 1 determine the range 5 pnts 5 Using the numbers in Exhibit 1 1 determine the mode 5 pnts

layer s is are responsible for contraction and recoil a Tunica intima b Tunica media c Tunica adventitia d Tunica intima and adventitia Question 2 Structures that cast a shadow a are always directly in front of another structure b either reflect or attenuate the sound beam c show acoustic enhancement d are nonattenuating Question 3 Which anatomic area is NOT demonstrated in a coronal scanning plane image a Medial b Anterior c Inferior

graph y sec 7x 37 300 2

A county clerk was supposed to use randomness to assign the order in which candidates names appeared on voting ballots Among 49 different ballots Democratic candidate names were placed on the first line 43 times The probability of a result that high is 0 000000028639 Assuming randomness was used is the result of 43 Democratic candidate names being placed on the first line significantly low significantly high or neither The probability of a result of 43 which is 0 000000028639 is 0 05 The result is 43 49 what is expected with randomness The result of 43 is

a What is the probability that Mike will guess correctly Ignore leap years Type an integer or a simplified fraction

K two parents has the genotype red brown which consists of the pair of alleles that determine hair color and each parent contributes one of those alleles to a child Assume that if the child has at least one red allele that color will dominate and the child s hair color will be red a List the different possible outcomes Assume that these outcomes are equally likely b What is the probability that a child of these parents will have the brown brown genotype c What is the probability that the child will have red hair color a List the possible outcomes OA red red red brown and brown brown OB red red red brown brown red and brown brown OC red brown and brown red OD red red and brown brown D

The sample space listing the eight simple events that are possible when a couple has three children is bbb bbg bgb bgg gbb gbg ggb ggg After identifying the sample space for a couple having four K find the probability of getting four girls and no boys Identify the sample space for a couple having four children Use a comma to separate answers as needed CIB

Bessel s Correction N 1 Friedrich Bessel discovered that when we use n in the denominator of the variance calculation for a sample the sample variance tends to underestimate the population variance Since many times we do not know the true population variance Bessel s correction for a point estimate of the population variance is very useful

age bracket Consider an event to be unlikely if its probability is less than or equal to 0 05 The probability that a randomly selected person in the 16 18 age bracket will be in a car crash this year is approximately Type an integer or decimal rounded to the nearest thousandth as needed the resulting value high enough to be of concern to those in the 16 18

Which two sets of events are most likely independent A Event A A car is blue Event B The car lasts over 20 years B Event A A student gets enough sleep Event B The student is alert in class C Event A A woman buys cat toys Event B The woman has a cat D Event A A student makes the drama team Event B The student likes macaroni and cheese

Express the indicated degree of likelihood as a probability value between 0 and 1 Based on a survey of hiring managers who were asked to identify the biggest mistakes that job candidates make during an interview there is a 50 50 chance that they will identify inappropriate attire The probability is Type an integer or a decimal Do not round

K In a certain test there is a multiple choice question with the possible answers a b c d and e By Tan degree of likelihood as a probability value between 0 and 1 inclusive The probability is Round to three decimal places as needed

The probability is Type an integer or a decimal

Compare the graphs of the logarithmic functions f x log7x and g x log4 For what values of x is f g f g and g Explain how you know

Degrees of freedom Degrees of freedom refers to the amount of values you have that are free to vary before there is no more possible variation in your choices in order to produce a specified statistic Let s look at 1 3 and 8 as our set Mean 4 Our deviations from the mean are 1 3 and 4 If you are given just two of those values the last one is predetermined Therefore you have 2 degrees of freedom Degrees of freedom is often n 1

Tara recently gave birth to her baby girl and had complications during labor As a result she underwent an emergency C section She is very tired and weak from her delivery Because of her daughter s birth she has also lost a considerable amount of blood and she is scheduled to receive a blood transfusion In addition to the blood transfusion order her patient file noted the doctor has ordered the nutritionist to make meals for Tara based on a high protein diet Read the article Which Foods Speed Up Recovery After Surgery in order to learn more about high protein diets 2 Initial Post Create a new thread and answer all three parts of the initial prompt below 1 How does a high protein diet benefit someone like Tara after a major surgery or serious hospitalization Guidance It is important to use the article not Google or other sources it has everything you need Be sure to include specifics on HOW a high protein diet could be beneficial 2 Identify a specific food item rich in protein and explain why you think it should be included in Tara s diet Guidance Be sure to read the sections of the article that discuss protein Be sure to choose a SPECIFIC high protein food item and explain WHY Tara should eat it 3 Identify one food item Tara s doctor would not approve for her diet and explain why Tara should avoid that food while she recovers Guidance Be sure to read the section of the article that discusses Foods to Avoid After Surgery Be sure to choose a SPECIFIC food item and explain WHY Tara should NOT eat it

In a certain test there is a multiple choice question with the possible answers a b c d and e By randomly guessing the chances of getting the correct answer are stated as 1 in 5 Express indicated degree of likelihood as a probability value between 0 and 1 inclusive The probability is Round to three decimal places as needed This question I point s possible CELE

Multiple choice Choose only one answer UV light is absorbed by the cell wall O proteins DNA molecule RNA molecule

nd and for the following function ax y f x y In 4y xy

Rosa recorded the height in centimeters of a pea plant over a 10 day perio for a science experiment Which equation is the best model of the data Centimeters 9987654321 10 1 2 3 4 5 6 7 8 9 10 Days O A y 0 5x 1 8 OB y 2 2 1 1 OC y 0 7x 2 1 OD y 2 0 1 4 X123456789 10 y 2334 SS666 4 5 5 5 6 5 6 5

Compute the Gini coefficient assuming the region beneath the two respective Lorenz curv is For country M 0 2875 For country N 0 3250

2 11 10 a tra Select all of the following statements that are true B Ay 2 is the parent function of the graph shown above D tion C There is an asymptote at y 4 The graph shows a translation to the left 4 and up 1 from the parent function There is an asymptote at y 1

Find all the second order partial derivatives of g x y xy 4 sin y 2y cos x 2 g 2 dx 3 20x y 2y cos x

Multiple answer choose all that apply SIM media is used to test for an organism s ability to ferment lactose and sucrose be motile O produce tryptophanase break down inosine ferment glucose

Find aflax and aflay f x y 2x y f 11

Find the gradient of the function g x y xy at the point 6 2 Then sketch the gradient together with the level curve that passes through the point First find the gradient vector at 6 2 Vg 6 2 1 Simplify your answers G

Write the tangent equation for the graph below 71 3 Noch 5T 21 34 I 2 10 987 19 S CO S T TNT PO5 2 4 6 y 7 8 10 H 2 JI 31 20 570 2 3 77 9 5 47

True or False Bacteria must expend energy to move via Brownian motion True False

Find the gradient of the function f x y 4y 5x at the point 10 1 Then sketch the gradient and the level curve that passes through that point Vf i Simplify your answer

If an organism is motile what will be the appearance of the motility agar following incubation O no growth will appear in the tube red color will be seen throughout the tube O the butt of the tube will be black O red color will be seen online along the stab line

5 Find all the second order partial derivatives of g x y xy 4 sin y 2y cos x za

O Macmillan Learning Judy s doctor is concerned that she may have hypokalemia low potassium in the blood measured in millimoles per liter mmol l There is variation both in the actual potassium level and in the blood test that measures the level Judy s measured potassium level varies according to the Normal distribution with 3 8 mmol l and o 0 2 mmol l A patient is classified as hypokalemic if the potassium level is less than 3 5 mmol l If measurements are made on four separate days and the mean result is compared with the criterion 3 5 mmol l what is the probability that Judy is diagnosed as hypokalemic Enter your answer as a decimal rounded to four decimal places not as a percent probability

For the quadratic function given state the vertex intercepts domain range and axis of symmetry Then graph the function The vertex should be given as a point the intercepts as numbers use exact values or decimals correct to at least 4 decimal places the domain and range in interval notation and the axis of symmetry as an equation Write DNE if there is no answer y 2x 4x 1 Vertex Opens up or down O down O up y intercept x intercepts Domain Range Give just number s not point s Give just number s not point s

af dx dx 11 dy 2 f x y x y Type an exact answer using radicals as needed

af For the function f x y In 9x 2y find x and f dy

Macmillan Learning The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days What percentage of pregnancies last between 240 and 270 days approximately eight to nine months Enter your answer to the nearest whole number percent

Consider a three way race between candidates called A B and C with a preference table shown First Choice on the right Complete parts a through e below Second Choice Third Choice The winner by single runoff is Candidate C c Find the winner by sequential runoff The winner by sequential runoff is Candidate C d Find the winner by point system Borda count The winner by point system is Candidate B e Find the winner by pairwise comparisons Condorcet method 11 A B C 23 E F 1

discontinuity at one of the limits of integration Question Find So 6xln xdx Then select the correct choice Select the correct answer below The integral converges to 0 The integral converges to 27ln 3 27 O The integral converges to 27ln 3 27

Macmillan Learning Find the standardized value z such that the probability is 0 8 that a randomly selected observation falls below z Enter your answer rounded to two decimal places Approximation of 7 b c 2 1 01 2

Macmillan Learning Suppose that the distribution of heights of all male students on your campus is Normal with mean 70 inches and standard deviation 2 8 inches What standard deviation must have so that 99 7 of all samples give an x within one half inch of Use the 68 95 99 7 rule Provide your answer to 2 decimal places inches

Side by Side The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days Macmillan Learning What percentage of pregnancies last fewer than 260 day Enter your answer to the nearest whole number percent percentage