Math - Others Questions

Given the Fourier transform t sinc f the inverse Fourier transform of X f 400sinc 5f 20 is 01 x t 2000n e j4nt O 2 None of the answers 03 x t 200m 0 2t ej40nt 4 x t 80n 0 2t ej8nt 5 x t 200m 0 2t e j20nf

About 20 of people in America use a certain social media website In a group with 15 people assume that it is a random sample of people in America what are the following probabilities Round your answers to three decimal places USE SALT a At least one of them uses the website b More than two of them use the website c None of them use the website 0 035 d At least 13 of them do not use the website

8 6 B Period Determine whether the information implies that YZ VW If parallel state the reason why XY 1 XV XZ XW 3 AXYZ AXVW B D XY 2 YV 8 Determine whether the information implies DEBC Explain 5 6 A 4 ZVYZZWZY E Date XZ ZW 3 C B A W 6 A 4 E 6 C

ELAPSED TIME 10 00 SKIP 2m 5m METHODS RESET 15 14 13 12 41 10 Lab Data Q Corn Syrup Concentration 10 Corn Syrup 20 Corn Syrup 30 Corn Syrup X Liquid Volume mL 1 2 3 4 PHASE 1 10 Corn syrup Complete the follow steps Attach selectively permeable memb to bottom of thist tube Add 10 corn syr thistle tube Add distilled wate beaker Wait 10 minutes measure volume liquid inside tube Record in Lab Dat

Deja and Aniyah each planted a tree at the same time Deja s tree is 1 foot tall and grows 2 feet per year feet per year Aniyah s tree is 4 feet tall and grows 1 2 Name 4 1 Write a system of equations to represent this situation Use x for the number of years since they planted the tree and y for the tree s height in feet 1 ft 4 ft 4 2 The solution to a system of equations for this situation is 2 5 Explain what the solution says about the trees

Shenise is a star player for her women s basketball team She has injured her ankle and it is doubtful that sh will be able to play in an upcoming game If Shenise can play the coach estimates that the team will score 78 points If Shenise is not able to play the coach estimates that they will score 62 points The team doctor estimates that there is a 70 chance Shenise will play Determine the number of points the team can expect to score It is expected that the team will score points Round to the nearest whole number as needed www

A multiple choice exam has six possible answers for each question For each correct answer you are awarded 6 points For each incorrect answer 1 point is subtracted from your score For answers left blank points are added or subtracted a If you do not know the correct answer to a particular question is it to your advantage to guess Explain b If you do not know the correct answer but can eliminate one possible choice is it to your advantage to guess Explain a Select the correct choice below and if necessary fill in the answer box within your choice No it is a disadvantage to guess because the expectation is Simplify your answer OA www Yes it is to your advantage to guess because the expectation is Simplify your answer OC No it is neither an advantage nor disadvantage to guess because the expectation is 0 B

Alyssa and Gabriel play the following game Alyssa rolls a die If she rolls a 1 2 or 3 Gabriel gives Alyssa 5 If Alyssa rolls a 4 or 5 Gabriel gives Alyssa 2 However if Alyssa rolls a 6 she gives Gabriel 11 a Determine Alyssa s expectation b Determine Gabriel s expectation a Alyssa s expectation is dollars Round to the nearest cent

If lim Ax 10x Bx 5 what is A B for positive A B X Select one O O O O b 4 d 8

A rack of 15 billiard balls is shown If one ball is selected at random determine the odds against it containing a number greater than or equal to 9 The odds are Simplify your answer 15

O Points 0 of 1 If the odds against an event are 5 6 then the probability that the event will fail to occur is The probability is Type an integer or a simplified fraction

If the probability that an event will occur is odds in favor of the event occurring are The odds are Simplify your answer 1 9 then the probability that the event will not occur is 8 9 and th

Q4 Using counters and other logic devices design a traffic light that operates as follows Red light for 9 seconds Orange light for 3 seconds and green light for 12 seconds Assume a clock frequency of 1 Hz Show your work

5 2 1 1 3 1 1 1 0 0 1 21

What does the content of the robots txt file tell a web crawler Select one O A Which pages of the website it is not allowed to access B Which pages of the website have changed since the last crawl C The order in which it should feed pages to the front queue D The order in which it should feed pages to the back queue O O

3 There are 12 blocks in a bag They have the following letters on them A A ADD GGGOOO O We choose 4 blocks from the bag and as we know there are 495 ways of doing that ie 495 four element subsets In how many of those 495 sets are there enough blocks to form the word DAD enough blocks to form the word DOG In this problem please write the actual numbers eg 24 rather than 2 3

3 Jimmy wants to sign up for a gym membership His two options are Goodlife and LA Fitness Goodlife fitness has a 100 sign up fee and then charges 40 a month while LA Fitness Charges 50 a month with no sign up fee a Write an equation to represent the cost Cafter m months of going to the gym for each of the two options 4T

d Compute the standard deviation for ages of super shoppers The standard deviation of a discrete probability distribution is found by x p x Use 45 66 and the following table to help you compute the standard deviation o for ages of shoppers Round your answers to four decimal places X P x 0 23 0 05 34 45 0 42 0 18 56 0 12 67 0 23 0 xP x 23 0 05 1 1500 34 0 42 14 2800 8 1000 6 7200 x 23 45 66 22 6600 34 45 66 11 6600 0 6600 10 3400 x 22 6600 2 513 4756 11 6600 135 9556 0 4356 106 9156 Add together the x 2p x Round your answer to four decimal places x P x 25 6738 57 1014 0 0784 12 8299 Finally take the square root of x p x Round your answer to two decimal places x P x x p x 513 4756 0 05 25 6738 135 9556 0 42 57 1014 0 0784 12 8299

Annual surveys of bird nests in a certain park consider the random variable x representing the number of eggs in each nest The expected value of the distribution was found to be 1 2 eggs The probability of a nest having at least one egg was 72 The probability of more than 4 eggs was 2 The standard deviation of the distribution was 1 2 eggs Match the numerical values from the problem to the corresponding symbols If a symbol does not have a corresponding value and cannot be easily computed from the given information then enter NA For the purposes of this problem consider a value hard to compute if a calculator is required to make the computation convenient such as taking a square root or exponentiating a value Symbol Numerical Value fl 0 P x 4 P x 5 P x 0 P x 0 1 2 1 2 0 72 0 28 X x

The college hiking club is having a fund raiser to buy new equipment for fall and winter outings The club is selling Chinese fortune cookies at a price of 1 per cookie Each cookie contains a piece of paper with a different number written on it A random drawing will determine which number is the winner of the dinner for two at a local Chinese restaurant The dinner is valued at 35 Since the fortune cookies were donated to the club we can ignore the cost of the cookies The club sold 563 cookies before the drawing a Lisa bought 17 cookies What is the probability she will win the dinner for two Round your answer to three decimal places 0 030 What is the probability she will not win Round your answer to three decimal places 0 970 b Lisa s expected earnings can be found by multiplying the value of the dinner by the probability that she will win What are Lisa s expected earnings in dollars Round your answer to two decimal places 1 05 How much did she effectively contribute to the hiking club in dollars Round your answer to two decimal places x

What is the age distribution of promotion sensitive shoppers A supermarket super shopper is defined as a shopper for whom at least 70 of the items purchased were on sale or purchased with a coupon Age range years 18 28 Midpoint x Percent of super shoppers 5 For the 62 and over group use the midpoint 67 years a Using the age midpoints x and the percentage of super shoppers do we have a valid probability distribution Explain Step 1 23 c Compute the expected age of a super shopper 29 39 40 50 51 61 34 b Use a histogram to graph the probability distribution of part a 45 42 0 05 0 42 0 18 0 12 1 d Compute the standard deviation o for ages of super shoppers 18 In order to have a valid probability distribution 2 conditions must be met 56 12 62 and over 67 a Using the age midpoints x and the percentage of super shoppers do we have a valid probability distribution Explain 23 1 The probability distribution has a probability assigned to each distinct value of the random variable 2 The sum of all the assigned probabilities must be 1 We can see from the table that each distinct value of the random variable has been assigned a probability Use these probabilities to check if the sum of all the assigned probabilities is equal to 1 P x P 23 P 34 P 45 P 56 P 67

washed off within 5 minutes For the other 500 subjects the oil was washed off after 5 minutes The results are summarized in the following table Time Within Which Oil Was Washed Off Reaction Within 5 Minutes 1 P N Column Total 0 467 11 P M None 0 416 Mild iii P S Strong b Find the following probabilities 1 P N W 0 802 ii P SW 0 058 X c Find the following probabilities 1 P NA 0 132 ii P SIA 0 176 401 Let s use the following notation for the various events W washing oil off within 5 minutes A washing oil off after 5 minutes N no reaction M mild reaction S strong reaction Suppose a person is selected at random from this sample of 1 000 subjects a Find the following probabilities d Find the following probabilities 1 P N and W 0 401 70 29 500 After 5 Minutes Row Total 66 346 88 500 467 416 117 1 000

8x 56x 2x 4x 70 Evaluate each of the following limits If an answer does not exist enter DNE Letif x a lim f x 2 3 x 1 b lim f x X 7 c lim f x X 5 d lim f x X 8 e lim f x X118

The owner of the Adelaide Australia Computer Hardware Company must decide among building 100 servers building 5000 hard drives or leasing all their equipment to another company The profit that will result from each alternative will be determined by whether material costs remain stable increase moderately or increase significantly In the payoff table below the estimated profits losses are given in thousands Material Costs sion Stable Servers Hard Drives Leasing mine the best decision using the Maximin decision criterion 1830 950 Moderate Increase 1030 2150 1100 550 Decision Leasing based on 2400 min 190 950 2400 Decision Hard Drives based on 950 max 190 950 2400 Decision Stable based on 950 max 950 550 2400 Decision Servers based on 190 min 190 950 550 Significant Increase 190 1150 2400

By cutting away an x by x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps a box with no top can be constructed Volume as a function of x 4x 136x 1056x Domain of the function for volume If the piece of cardboard is 44 inches long by 24 inches wide find a function in the variable x giving the volume of the resulting box T8L 0 12 U 22 00 FRL X TIL Determine the domain of the function for volume Enter your answer using interval notation THL MY NOT

Limits Continuity Course Packet on limits at infinity of rational functions The Penn State Math Department s total costs in dollars for producing x units of their award winning calculus tutorial videos 72x3 9x3 What is the limiting value of the total cost when the number of units produced grows infinitely large dollars C x 300 1 26x x 61x 1 82

In a game of craps you roll two fair six sided dice The sides of each die are labeled 1 through 6 Whether you win or lose depends on the sum of the numbers occurring on the tops of the dice Let x be the random variable that represents the sum of the numbers on the tops of the dice a What values can x take on Enter your answers as a comma separated list b What is the probability distribution of these x values Enter the probabilities in ascending order of the x values Round your answers to three decimal places Probabilities 0 028 0 056 0 083 0 111 0 139 0 167 0 139 0 111 0 083 0 056 0 028

Q2 In economic decision making when the inputs and outputs are fixed the criterion to use is minimize the input a True b False

011 Limits Continuity Course Packet on limits at infinity of rational functions 29x5 68x6 75x7 96x 0 34 If you need to use or enter INFINITY or INFINITY respectively Evaluate lim X 7 8

imits Continuity Course Packet on indetermi x x 9 X 81 X 81 Evaluate lim If an answer does not exist enter DNE

What are the chances of you catching a virus A health agency estimated that on average 9 of the U S population gets sick with the flu virus every year Suppose that the chance someone with the flu transmits it to another individual is 91 If you were to mee a person at random find the following probabilities a P person has the flu 0 09 b P person transmits the flu given person has the flu 0 91 c P person has the flu and transmits the flu

Q3 An example for fixed input in economic decision making is that a the project manager has 1 million for the project b the project manager must increase productivity by at least 10 c the project manager must choose the most cost effective design for the new machine d None of the above

The estimate using rounded numbers is Type an integer or a decimal Obtain an estimate for the computation shown below by rounding the numbers so that the resulting arithmetic can easily be performe by hand or in your head Then use a calculator to perform the computation How reasonable is the estimate when compared to the actual answer 0 87 x 505 The exact value is Type an integer or a decimal How reasonable is the estimate when compared to the actual answer OA The values are exactly equal B The values are very different OC The values are approximately equal This question 1 point s possible Submit test

If there are five pears in a bowl in how many ways can there be one pear that is ripe and four pears that are unripe There are ways for this to occur Type a whole number

Identify the pattern in the list of numbers Then use this pattern to find the next number 3 6 9 15 24 39 Fill in the next number in the list possible 3 6 9 15 24 39

OA 16 blocks B 22 blocks possible Use the four step method in problem solving to solve the problem Andrea decided to rollerblade to her mother s house Three blocks from her home one of the wheels on her skate broke and she had to walk the remaining eight blocks to her mother s She could not repair her skate and had to walk all the way back home How many more blocks did Andrea walk than she skated OC 19 blocks O D 11 blocks Submit test

This question 1 point s possible OA 200 B 30 O C 1 070 O D 300 Submit test Use the four step method in problem solving to solve the problem A couch sells for 1 040 Instead of paying the total amount at the time of purchase the same couch can be bought by paying 500 down and 70 a month for 12 months How much is saved by paying the total amount at the time of purchase

Consider the following a Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a six sided die sasta b How many outcomes contain a head and a number greater than 2 G c Assuming the outcomes displayed in the tree diagram are all equally likely what is the probability that you will get a head and a number greater than 2 when you flip a coin and toss a six sided die Round your answer to three decimal places

5 Let P be the polygon with vertices 1 0 2 0 4 1 4 2 3 4 2 4 0 3 0 2 taken in that order Find all isometries of P What group do they form 6 Let Q be the polygon with vertices 1 0 2 0 4 2 4 3 3 4 2 4 0 2 0 1 taken in that order Find all isometries of Q What group do they form 7 Which of the groups introduced above in Problems 3 6 are pairwise iso morphic and which are not

486 C 135

The next number is This question 1 point s possible www later Identify a pattern in the given list of numbers Then use this pattern to find the next number More than one pattern might exist so it is possible that there is more than one correct answer 58 49 40 31 22 Submit test

Determine a route whose distance is less than 11 miles for running errands to all three destinations and returning home Post Office 2 5 2 Choose the route that is less than 11 miles OA Home Bank Post Office Dry Cleaners Home OB Home Post Office Dry Cleaners Bank Home C Home Dry Cleaners Post Office Bank Home D Home Post Office Bank Dry Cleaners Home O E Home Bank Dry Cleaners Post Office Home Home 2 Bank 3 3 Dry Cleaners

6 As in sudoku fill in the missing numbers in the 3 by 3 square so that it contains each of the digits from 1 through 9 exactly once Furthermore for this square the rows the columns and the two diagonals must have different sums O A 6 9 5 7 2 1 8 3 4 O B Use reasoning to help you choose the square that satisfies the condition that the rows the columns and the two diagonals have different sums 6 8 2 9 1 3 5 4 SOLLE 7 7 O C 6 8 1 7 2 4 3 2 1 9 5 4 O D 6 5 2 3 1 7 9 8 4

Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable is your estimate when compared to the actual answer 7 66 1 27 15 24 Round each number to the nearest integer An estimate of the sum is The actual sum is Type an integer or a decimal How reasonable is your estimate when compared to the actual answer OA Not reasonable The estimate seems a little higher compared to the actual answer OB Not reasonable The estimate seems a little lower compared to the actual answer OC Reasonable The estimate seems a little lower compared to the actual answer D Reasonable The estimate seems a little higher compared to the actual answer

possible The following problem describes procedures that are to be applied to numbers Repeat the procedure for four numbers of your choice Write a conjecture that relates the result of the process to the original number selected Select a number Multiply the number by 40 Add 40 to the product Divide this sum by 20 Subtract 2 from the quotient OA The result is one more than double the original number B The result is double the original number C The result is one more than the original number OD The result is the original number

Identify a pattern in the sequence of figures Then use the pattern to find the next figure in the sequence W W O D Choose the correct figure below O A OB Z N W W N N W Z N X W X O E y y y y W W Z Z W W N W W N O C O F N N W W N N W W N W

point s possible Submit test Solve the problem with estimation but do not use a calculator Use rounding to make the resulting calculations simple A 1 700 B 1 800 OC 1 600 O D 1 900 Estimate the cost to buy a refrigerator for 799 a stove for 759 and a dishwasher for 249

Assume that postings lists are gap encoded using Gamma codes Using this encoding suppose that the postings list for the term Palestine is the bit sequence 1111 1111 1011 1100 1101 0011 1110 0000 0 and the postings list for the term Occupation is the bit sequence 1111 1111 1100 0000 0011 1011 1101 111 What Doc IDs match the following query Palestine AND NOT Occupation Select one O O 1 1031 1032 1063 2 1031 1 31 3 998 1000 1032 4 998 1000

If you spend 99 78 in how many ways can you receive change from a one hundred dollar bill Change can be received in possible ways

OA 4 OB 0 OC 2 O D 6 point s possible Identify a pattern in the list of numbers Then use this pattern to find the next number 26 22 18 14 10 Submit test