Questions

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

Macmillan Learning Researchers recorded the speed of ants on trails in their natural environments The ants studied Leptogenys processionalis all have the same body size in their adult phase which made it easy to measure speeds in units of body lengths per second bl s The researchers found that when traffic is light and not congested ant speeds vary roughly Normally with mean 6 20 bl s and standard deviation 1 58 bl s What percent of ant speeds in light traffic are slower than 6 bl s Enter your answer rounded to two decimal places percent I d

A modified roulette wheel has 40 slots One slot is 0 another is 00 and the others are numbered 1 through 38 respectively You are placing a bet that the outcome is an odd nu and 00 are neither odd nor even a What is your probability of winning 19 40 The probability of winning is Type an integer or a simplified fraction b What are the actual odds against winning The actual odds against winning are

A positive citrate test is indicated by O No growth of the organism and the media turning blue No growth of the organism and the media remaining green O Growth of the organism and the media turning blue O Growth of the organism and the media remaining green

The substrate for tryptophanase is indole True False

If 7 people are randomly selected find the probability that no 2 of them have the same birthday Ignore leap years The probability that 7 people have different birthdays is Round to three decimal places as needed

Macmillan Learning An 1868 paper by German physician Carl Wunderlich reported based on more than a million body temperature readings that healthy adult body temperatures are approximately Normal with mean 98 6 degrees Fahrenheit F and standard deviation o 0 6 F This is still the most widely quoted result for human temperature According to this study what is the range of body temperatures that can be found in 95 of healthy adults Look for the middle 95 of the adult population Give your answers to two decimal places lower bound upper bound I F F

Multiple answer choose all that apply Which of the following is true regarding the Enterobacteriaceae Check all that apply Testing for the ability of the organism to ferment glucose via different metabolic pathways can differentiate between members of this family Testing for an organism s ability to utilize citrate as their only source of carbon is one biochemical test that can differentiate between members of this family They are often a cause of hospital acquired infections They are commonly found in the intestines of birds

Let A denote the event of placing a 1 straight bet on a certain lottery and winning Suppose that for this particular lottery there are 8 100 different ways that you can select the fou repetition allowed in this lottery and only one of those four digit numbers will be the winner What is the value of P A What is the value of P A Question Viewer What is the value of P A P A 0 00012 Round to five decimal places as needed What is the value of P A P A Round to five decimal places as needed CCXXX

Find the value of 7 O O OA 42 OB 823 543 O O C 5040 D 49

Researchers recorded the speed of ants on trails in their natural environments The ants studied Leptogenys processionalis all have the same body size in their adult phase which made it easy to measure speeds in units of body lengths per second bl s The researchers found that when traffic is light and not congested ant speeds vary roughly Normally with mean 6 20 bl s and standard deviation 1 58 bl s O Macmillan Learning What is the probability that an ant s speed in light traffic is faster than 5 bl s You may find Table B useful Enter your answer rounded to four decimal places probability I

Macmillan Learning How much difference do a couple of weeks make for birth weight Late preterm babies are born with 34 to 36 completed weeks of gestation The distribution of birth weights in grams for late preterm babies is approximately N 2750 560 What is the probability that a randomly chosen late preterm baby would have a very low birth weight less than 1500 grams Enter your answer as a decimal not as a percent to four decimal places

7 Evaluate sin 8 Hint Draw a right triangle arccos

Side by Side 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 Macmillan Learning a If you choose one student at random what is probability that he is between 69 and 71 inches t The probability is roughly 0 28 The probability is roughly 0 72 The probability is roughly 0 36 The probability is roughly 0 64

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 How long do the longest 30 of pregnancies last more than 274 days more than 222 days more than 243 days more than 285 days

8 In order for y sin to be a function the domain of y sina is restricted to a Explain why the domain was restricted to this interval b Identify two other intervals that could have been chosen as the domain

O Macmillan Learning The World Health Organization reports that the distribution of ages at time of death in the United States has a mean of 79 8 years and a standard deviation o of 15 5 years based on death certificates The distribution of ages at time of death is obviously left skewed thankfully few people die young and most die old Researchers plan to take a random sample of 100 American death certificates What is the probability that the mean age at time of death in a random sample of 100 American death certificates will be less than 78 years Give your answer to four decimal places P x 78

Avian kidneys produce urea that requires copious water to flush from the body True False

13 players for a softball team show up for a game a How many ways are there to choose 10 players to take the field 286 b How many ways are there to assign the 10 positions by selecting players from the 13 people who show up c of the 13 people who show up 3 are women How many ways are there to choose 10 players to take the field if at least one of these pla must be women

Complete the following table Lycophyta Club mosses Example organisms Support system Anchoring structures Transport system Type of transport tissue External structures Reproduction Sphenophyta Horsetails Psilotophyta Whisk ferns Pterophyta Ferns

1 5 Evaluate sin sin 0 25 and explain your reasoning

10 Consider the following a How many solutions are there for the equation sin0 2 b How many solutions are there for the equation sin 1 0 c Explain the relationship between parts a and b

4 Let f x arcsinx g x arccos x and h x arctan r Which of these functions is graphed here Explain how you know 3TT 24 TT TT 2 0 TT 2 X

Write Name Date Period On multiple choice questions explain your choice using math drawings and or words Also explain choices on 4 Each question is worth 4 points 1 Explain why the domain of y sin x is 1 1

17 Hint Draw a right triangle 7 Evaluate sin arccos

3 Kymani was asked to evaluate cos cos His answer and explanation are given below 1 COS cos because the inverse cosine function undoes the cosine function so the output must be the same as the original input Do you agree with his answer and explanation Explain

The data represented by the following stem and leaf plot range from 4189 5 147 6 235 69 7 OA 49 79 OB 48 76 OC 49 76 D 48 79

3 Which of the following pairs of functions have the same range Choose all that apply 1 f x sinx and g x cos x II f x tan x and g x arctan x III f x arcsin x and g x arctan x 1 IV f x cos a and g x sin x

This question 1 point s possible Use the following results from a test for marijuana use which is provided by a certain drug testing company Among 144 subjects with positive test results there are 21 false positive re 150 negative results there are 3 false negative results If one of the test subjects is randomly selected find the probability that the subject tested negative or did not use marijuana Him a table The probability that a randomly selected subject tested negative or did not use marijuana is Do not round until the final answer Then round to three decimal places as needed CHEFER Sub

You are certain to get 3 jacks when selecting 51 cards from a shuffled deck Express the indicated degree of likelihood as a probability value between 0 and 1 inclusiv The probability is Type an integer or a decimal C

Fill in the blank The classical approach to probability requires that the outcomes are The classical approach to probability requires that the outcomes are rare listed positive equally likely

Rewrite the following statement so that the likelihood of rain is expressed as a value between 0 and 1 A weather forecasting website indicated that there was a 55 chance of rain in a certain region Choose the correct answer below OA In the region it will rain for 55 of the day B There is a 0 55 probability that it will rain somewhere in the region at some point during the day OC 55 of the region will get rain today OD None of the above interpretations are reasonable

The table shows the probability distribution of siblings of students in a high school with 1500 students What is the expected value for the number of siblings of a randomly chosen student Number of siblings Probability OA 2 5 OB 1 08 O C 1 29 OD 1 11 0 1 0 18 0 65 2 3 0 09 0 05 4 0 02 5 0 01

Assuming 2x 8y 6xy 0 defines y as a differentiable function of x use the theorem point 1 1 dy dx 11 Fx dy to find at t

O Given vectors u i 4j and v 5i yj find y so that the angle between the vectors is 60

6 5 4 3 2 8 7 6 5 4 3 2 7 2 1 2 4 5 6 Q Write an equation for the function graphed above

What causes amoeboid feeding cells of cellular slime molds to aggregate into a large multicellular slug form low moisture level proximity to other cells of the same species low nutrient levels increased sunlight

Fill in the blanks Do not rationalize at b e d tan 57 12 11 1 b 3 3 d

The table on the right gives the popular and electoral votes for the three major candidates for a presidential election The total popular vote count is shown All electoral votes are also shown Complete parts a through d Cour calave Decome resident in tal case Explain Candidate A B C Total popular vote Electoral Votes 89 12 Popular Votes 6 005 876 4 206 828 3 004 371 13 217 075 A Yes candidate C could have become President because candidate B had a majority of the electoral votes B Yes candidate C could have become President if all of the voters for candidate B had instead voted for candidate C as candidate C would then have a majority of the electoral votes C No candidate C could not have become President because even if all of the voters for candidate B had instead voted for candidate C candidate A would still have a majority of the electoral votes D No candidate C could not have become President because even if all of the voters for candidate B had instead voted for candidate C no candidate would of the electoral votes

Which values should you plot to show a linear relationship Month Population Log population 1 1400 3 146 2 3 4 5 6 2600 4700 9000 17000 32000 3 415 3 672 3 954 4 230 4 505 O A Population on the x axis and Log population on the y axis OB Month on the x axis and Population on the y axis C Month on the x axis and Log population on the y axis OD Log population on the x axis and Month on the y axis

S00 V tve 7 b 4

Select all expressions are equivalent to 38 A B C 83 310 32 LL 3 8 D 34 E 3 3 4

HOW DO YOU SEE IT A research group surveys parents and coaches of high school students about whether competitive sports are important in school The two way table shows the results of the survey Role Important Yes No Total Parent 880 120 1000 Coach 456 45 501 a What does 120 represent b What does 1336 represent c What does 1501 represent Total 1336 165 1501

A and B are independent events What is P AIB P A 0 3 P B 0 5 O A 0 15 OB Not enough information O C 0 5 D 0 3

A Name the tissue labeled B B