Questions

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes an automobile valued at 23 000 a 150 gas card or a 5 shopping card To claim his or her prize a prospective customer needed to present the flier at the dealership s showroom The fine print on the back of the flier listed the probabilities of winning The chance of winning the car was 1 out of 31 758 the chance of winning the gas card was 1 out of 31 758 and the chance of winning the shopping card was 31 756 out of 31 758 Complete parts a through d E a How many fliers do you think the automobile dealership sent out Assume there is one car and one gas card available fliers

Find the frequencies of the 12 notes of the scale that starts at the F above middle C this F has a frequency of 368 cycles per second Complete the table below Note Frequency cps 368 F Note Frequency cps G G A A B Round to the nearest integer as needed D D 315

Start at the C above middle A with a frequency of 520 cps Using the whole number ratios in the accompanying table find the frequency if C is raised by a fifth to G What is the frequency if this G is then raised by a fifth to D What is the frequency if this D is then lowered by a sixth to F What is the frequency if this F is then lowered by a fourth to C Has returning to the same note also returned to the same frequency Explain Click the icon to view a table of note frequencies The frequency when C is raised by a fifth to G is Type an integer or a decimal cps

asset 2 Why is the world a better place because I m in it 3 What is your most vivid memory of my childhood 4 What is the nicest thing I have ever done for you 5 What do you see me doing in 10 years 6 Can you suggest an item that would signify what type of person I am

Find the frequencies of the 12 notes of the scale that starts at the F above middle C this F has a frequency of 368 cycles per second Complete the table below Note Frequency cps 368 F G G A A B Round to the nearest integer as needed Note Frequency cps C C D D E F

If P A 0 4 P B 0 8 and P A and B 0 4 are A and B independent O A Yes OB No OC Not enough information

Find the volume and surface area of the metal prism below with the cylinder part hollowed not enots sin pri Metal Prismene sabbat 5 cm r 10 cm bris ats 10 cm sallad srid ter suas llw ni esbul Sauzen 15 cm to omslov

The increase or decrease in the price of a stock between the beginning and the end of a trading day is assumed to be an equally likely random event What is the probability that a stock will show a decrease closing price on nine consecutive days The probability that a stock will show a decrease in its closing price on nine consecutive days is Round to four decimal places as needed

For each of the following indicate whether the type of probability involved is an example of a priori probability empirical probability or subjective probability a According to weather forecasts there will be at least 40 5 inches of rainfall next year b Two coins will land on heads c A certain model will win the beauty contest d There is a 0 65 probability that an individual student has a part time job a According to weather forecasts there will be at least 40 5 inches of rainfall next year is an example of which type of probability O Subjective O Empirical O A priori

The following table contains the probability distribution for the number of traffic accidents daily in a small town Complete parts a through c below Number of Accidents Daily X 0 a Compute the mean number of accidents per day P Type an integer or a decimal Do not round 2355N 4 1 P X X 0 29 0 37 0 15 0 07 0 06 0 04 0 02

If P A 0 3 P B 0 5 and A and B are independent find P A and B P A and B Type an integer or a decimal

Part 1 of 4 A survey of 1 097 adults was asked Do you feel overloaded with too much information Suppose that the results indicated that of 549 males 231 answered yes Of 548 females 277 answered yes Construct a contingency table to evaluate the probabilities Complete parts a through d CIDA Points 0 of 6 a What is the probability that a respondent chosen at random indicates that he she feels overloaded with too much information Round to three decimal places as needed

rite an equation for the graph no oquation for the graph in 6 Ay NONA 4 2 2 4 6 2 4

Do males or females feel more tense or stressed out at work A survey of employed adults conducted online by a company on behalf of a research organization revealed the data in the contingency table shown to the right Complete parts a through d below a What is the probability that a randomly selected person s gender is female Type an integer or a decimal Round to three decimal places as needed CHOI Gender Male Female Total Felt Tense or Stressed Out at Work No 325 325 650 Yes 145 135 280 Total 470 460 930

3 The first derivative of the function fis given by f x esr 1 How many critical values does hav 5 on the open interval 0 10 Hint Sketch over the Window xmin 10 xmax 10 min 2 max 2 A Four B One C Seven D Five

After you explain that you would like to write a profile of them for this Leadership and Management Skills class ask them the following questions 1 Do you think leadership develops with experience 2 Are there one or two experiences you look back on as having been especially valuable in helping develop your own leadership Please briefly describe them 3 What made it them so valuable 4 Have your own views of leadership changed over time 5 Do you think leadership in your arena e g sports business is much different from or involves different pressures than leadership in other arenas 6 Do you ever reflect after the fact about how effective your behavior was in a particular situation Is this ever a source of new or different insights 7 Is there any advice you would give people early in their careers about leadership

Starting with a tone having a frequency of 3200 cycles per second find the frequencies of the tones that are one two three and four octaves lowe What is the frequency of the tone that is one octave lower than 3200 cycles per second 1600 cycles per second What is the frequency of the tone that is two octaves lower than 3200 cycles per second 800 cycles per second What is the frequency of the tone that is three octaves lower than 3200 cycles per second 400 cycles per second What is the frequency of the tone that is four octaves lower than 3200 cycles per second cycles per second

Draw each of the following angles in standard position and then name the reference angle 1 210 2 150

One of the most common echinoderms during the Paleozoic were Crinoids which lived directly on the seafloor i e epifaunal Usually fossils only preserve parts of Crinoid bodies From the different body parts of Pentrimites the calyx or head the stalk and the base reconstruct in a drawing the complete Crinoid Also draw a top view of the calyx identifying the mark with five fold symmetry Crinoids still exist today but are not very abundant use the figure in the book provided as a guide for your reconstruction but don t just copy use the fossil specimen themselves in the reconstruction

40 36 5 cm W 28 cm 21 4 cm Find the length of side 18 0 cm

2 20 13 in

B Find the quartile of the distribution and draw the boxplot for the given dataset Suppose we have measured 9 females and their heights in inches sorted from smallest to largest are 59 60 62 64 66 67 69 70 72

Find the standard form of the equation for the following circle 10 40 Enable Zoom Pan

X 70 y 15 yd

Decide whether each of the following statements makes sense or is clearly true or does not make sense or is clearly false Explain your reasoning If I pluck this string more often then it will have a higher pitch Choose the correct answer below OA The statement does not make sense because plucking the string more often will not change the maximum height of the string so the pitch will not change B The statement does not make sense because plucking the string more often will not change the frequency so the pitch will not change OC The statement makes sense because plucking the string more often will make the frequency higher which will result in a higher pitch D The statement does not make sense because plucking the string more often will make the maximum height of the string larger which will result in a lower pitch E The statement does not make sense because plucking the string more often will make the frequency higher which result in a lower pitch F The statement makes sense because plucking the string more often will make the maximum height of the string larger which will result in a higher pitch

2 9 cm E ale trig function to find the value of x and y round answers to the nearest tenth Geometry Worksheet 8 2B X 7 13 in y 3 y 5 m Cos A Tan A

Below is the graph of y Transform it to make the graph of y 8 1 SCH 1 X 2 3 V X

Graph all vertical and horizontal asymptotes of the rational function 6x 13 f x 2x 7 X

A A survey was given to 25 students and the number of siblings was tallied in the class find che mean median and mode of the data set that was collected 2 1 2 5 6 2 1 3 1 1 0 2 5 8 1 2 2 4 3 0 2 3 4 4 1

2 Using intervals of numbers The winning Super Bowl scores from 1983 to 2002 are listed in the table Make a frequency table of the data Step 1 Draw a table Label three columns Tally Frequency Cumulative Frequency Step 2 Complete the table using the data Scores 20 28 29 37 38 46 47 55 Winning Scores 20 34 23 34 31 35 27 49 30 52 37 20 55 20 42 39 46 38 38 27 How to Make a Histogram Example Use the date from Example 2 Super Bowl scores to create a histogram Step 1 Draw and label the axes Remember the x axis will be intervals Step 2 Draw a bar to represent the frequency of each interval

1 Using categories Kaley asked her classmates about their favorite types of music The results are shown in the chart provided Make a frequency table of the data then answer the questions below Step 1 Draw a table Label three columns Tally Frequency Cumulative Frequency Step 2 Complete the table using the data Music Rock R Jazz J Country C Top 40 F Rap P a What is the most popular type of music b What is the least popular type of music c How many students were polled Favorite Types of Music PRF PF PFFUD FR F P C F C F C J PP P J RR F RPP F

The solution of 15 x 1 is Select one O A 4 or 6 OB 2 or 1 00 C 4 6 OD 4 6

Find the first derivative of the inverse functions below a y sin x b y x tan x

Find the linearization L of the function f x x at a 4 and use L to approximate f x 4 04

Find where the function y x 6x concaves up and concaves down Find all inflection points

2 On Tanya s phone bill 60 out of the 75 long distance calls were in state of the in state calls were to her parents What fraction of all of her long distance calls were to her parents How many calls were to her parents What fraction of all of her long distance calls were to her parents 8 15 Simplify your answer Type an integer or a fraction How many calls were to her parents Simplify your answer Type an integer or a fraction www of her long distance calls

AOTD What is the primary material that makes up the inner cylinder of Phoronid tubes Thin Films Formed by Fibers Small Shells and Sand Hard Substrata Soft Sediment

Which answer best explains why the class Sipuncula has been separated from many other classes in the phylum Annelida Emanda On part WEY Lophotrochozoa in part Poc Annelida Pleistoannelida Le of o Sedentaria in part Citellata Stograse St Eche Na Ace Link Acarta dan Hyd Det hedductiv 2ortun Loss of de przypade 27 se Hrudnida Bestur eyes Branna propue DOC Sounce Chastopne Beberat Lines of Ania kol perce Posterior body sucker wa wat segmentatus Permal vegy Sipuncula do not have a feeding mechanism Sipuncula do not exhibit metamerism Sipuncula do not survive in marine environments

Fill in the blank Hookworms are so named because the suggesting a hook dorsal ventral posterior anterior end curves dorsally

5 7 49 OA Multiply the first numerator by the second denominator to get the new numerator and multiply the second numerator by the first denominator to get the new denominator B Add the numerators to get the new numerator and add the denominators to get the new denominator C Multiply the numerators to get the new numerator and multiply the denominators to get the new denominato OD Multiply the first numerator by the second denominator and multiply the second numerator by the first denominator and then find the sum of these two products Set up the multiplication 5 7 5 7 49 4

0 H Find 10 vectors in R 0 each pair of which is 5 2 apart Can you now find an 11th such vector

Let T x ref x be the reflection about the line L in R shown in the accompanying figure 0 L

How much energy in joules is released by an earthquake of magnitude 6 joules Use scientific notation Use the multiplication symbol in the math palette as needed

Suppose that we have a sample space with five equally likely experimental outcomes E E2 E3 E4 and Eg Let A E2 E3 B E E4 C E E3 E5 and answer the following a Find P A P B and P C P A 0 4 P B 0 4 P C 0 6 b Find P A U B P AUB 0 8 Are A and B mutually exclusive They are c Find AC Enter your answer in set notation AC E1 E4 E5 x mutually exclusive Find CC Enter your answer in set notation CC E2 E4 x Find P AC and P CC P A 0 6 P C 0 4 d Find A U BC Enter your answer in set notation AU BC Find P A U BC P A U BC e Find P B U C 0 6

Consider again the sibling data of the 9 students we saw before The mean number of siblings is 2 Fill in the table below Then use that information to calculate the standard deviation Number of Siblings mean 3 1 1 2 4 O 0 1 6 Distance from the Distance from the mean 2 Find the sum of the squared deviations of the

Consider the experiment of rolling a pair of six sided dice Suppose that we are interested in the sum of the face values showing on the dice a How many sample points are possible Hint use the counting rule for multiple step experiments 36 b List the sample points There is one way There are two ways There are three ways There are four ways There are five ways There are six ways There are five ways There are four ways There are three ways There are two ways There is one way to sum the face values of a pair of dice to 2 to sum the face values of a pair of dice to 3 to sum the face values of a pair of dice to 4 to sum the face values of a pair of dice to 5 to sum the face values of a pair of dice to 6 to sum the face values of a pair of dice to 7 to sum the face values of a pair of dice to 8 to sum the face values of a pair of dice to 9 to sum the face values of a pair of dice to 10 to sum the face values of a pair of dice to 11 to sum the face values of a pair of dice to 12 c What is the probability of obtaining a value of 5 0 1 x d What is the probability of obtaining a value of 8 or greater 0 5 x e Because each roll has six possible even values 2 4 6 8 10 and 12 and only five possible odd values 3 5 7 9 and 11 the dice should show even values more often than odd values Do you agree with this statemen This statement is not correct because P odd and P even f What method did you use to assign the probabilities requested subjective method empirical method o classical method relative frequency method

The values for P A n B and P A2n B were found to be 0 12 and 0 02 respectively Use these values to calculate P A B to four decimal places P A n B P A1n B P A n B 0 12 P A B 0 12

d Apply Bayes theorem to compute P A B and P A B Bayes theorem is used when events are mutually exclusive and their union is the entire sample space Here we have P A P A2 0 60 0 40 1 so Bayes theorem can be applied Recall Bayes theorem for the two event case P A B P A1 P B A P A1 P B A P A P B A Note that the numerator and the first term in the denominator is another way to calculate the intersection of events A and B That is P A P B A P A n B Extending this to the second term in the denominator it can be said that P A2 P B A P A 78 Thus a sim calculation for P A1 B follows P A n B P A n 8 P A 23B P A1 B

It was determined that P B P A1n B P A n B It was previously found that P A n B 0 12 and P A n B 0 02 Use these values to find P B P B P A1n B P A n B 0 12

Consider the experiment of rolling a pair of six sided dice Suppose that we are interested in the sum of the face values showing on the dice a How many sample points are possible Hint use the counting rule for multiple step experiments b List the sample points There Select There Select There Select There Select There Select There Select There Select There Select There Select There Select There Select to sum the face values of a pair of dice to 2 to sum the face values of a pair of dice to 3 to sum the face values of a pair of dice to 4 to sum the face values of a pair of dice to 5 to sum the face values of a pair of dice to 6 to sum the face values of a pair of dice to 7 to sum the face values of a pair of dice to 8 to sum the face values of a pair of dice to 9 pair of dice to 10 to sum the face values of a to sum the face values of a pair of dice to 11 to sum the face values of a pair of dice to 12 c What is the probability of obtaining a value of 5 d What is the probability of obtaining a value of 8 or greater e Because each roll has six possible even values 2 4 6 8 10 and 12 and only five possible odd values 3 5 7 9 and 11 the dice should show even values more often than odd values Do you agree with this statemen and P even This statement is correct because P odd f What method did you use to assign the probabilities requested subjective method empirical method o classical method