Binomial theorem Questions and Answers

The mapping between the z transform and Laplace transform maps circles from s domain to circles in z domain O True O False

The spectral representation of a periodic signal can be computed using the Fourier transfor O True O False

Hamada invests 20 000 at 8 annual interest leaving the money invested without withdrawing any of the interest for 8 years At the end of the E years Hamada withdraws the accumulated amount of money the amount of interest assuming the investment earns simple interest is O a 37 018 60 O b 12 800 c 32 800 O d 7 200 Clear my choice

What is the expectations gap O a The difference between what the public thinks the accountant should do and what Congress says the accountant should do b The difference between what the accountant should do and what the Courts say the accountant should be doing C The difference between what the public thinks the accountant should do and what the accountant thinks they can do O d The difference between what the public thinks the accountant should not do and what the accountant knows they should do Clear my choice

21 Prove That 24 51 4 h 1 for n 71

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Based on long experience an airline found that about 8 of the people making reservations on a flight from Miami to Denver do not show up for the flight Suppose the airline overbooks this flight by selling 263 ticket reservations for an airplane with only 255 seats USE SALT a What is the probability that a person holding a reservation will show up for the flight 0 92 b Let n 263 represent the number of ticket reservations Let r represent the number of people with reservations who show up for the flight What expression represents the probability that a seat will be available for everyone who shows up holding a reservation P rz 263 P r 255 P r 263 P r 255 c Use the normal approximation to the binomial distribution and part b to answer the following question What is the probability that a seat will be available for every person who shows up holding a reservation Round your answer to four decimal places

4 4 0 4 y X 0

For our random sample of 24 people who dine out find the following probabilities rounded to five decimal places Recal that n 24 and p 0 33 were previously defined 1 The probability exactly 12 diners chose their restaurant based on a peer review site is P x 12

Aldrich Ames is a convicted traitor who leaked American secrets to a foreign power Yet Ames took routine lie detector tests and each time passed them How can this be done Recognizing control questions employing unusual breathing patterns biting one s tongue at the right time pressing one s toes hard to the floor and counting backwards by 7 are countermeasures that are difficult t detect but can change the results of a polygraph examinationt In fact it is reported in Professor Ford s book that after only 20 minutes of instruction by Buzz Fay a prison inmate 85 of those trained were able to pass the polygraph examination even when guilty of a crime Suppose that a random sample of five students in a psychology laboratory are told a secret and then given instructions on how to pass the polygraph examination without revealing their knowledge of the secret What are the following probabilities Round your answers to three decimal places USE SALT a All the students are able to pass the polygraph examination b More than half the students are able to pass the polygraph examination c No more than half of the students are able to pass the polygraph examination d All the students fail the polygraph examination

Given P A 0 4 P B 0 7 P A B 0 3 do the following a Compute P A and B b Compute P A or B

Suppose you are a junk bond broker who buys only bonds that have a 50 chance of default You want a portfolio with at least five bonds that do not default You can dispose of the other bonds in the portfolio with no great loss What is the smallest number of bonds you should buy if you want to be at least 91 sure that five or more bonds will not default LUSE SALT bonds

According to a magazine 55 of all federal inmates are serving time for drug dealing A random sample of 15 federal inmates is selected USE SALT a What is the probability that 11 or more are serving time for drug dealing Round your answer to three decimal places b What is the probability that 6 or fewer are serving time for drug dealing Round your answer to three decimal places c What is the expected number of inmates serving time for drug dealing 8 25

A stationary store has decided to accept a large shipment of ball point pens if an inspection of 16 randomly selected pens yields no more than two defective pens USE SALT a Find the probability that this shipment is accepted if 10 of the total shipment is defective Round your answer to three decimal places b Find the probability that this shipment is not accepted if 15 of the total shipment is defective Round your answer to three decimal places

Each year a random sample of 21 bird nests from McLaughlin Park are inspected Over many years it has been found that 74 of nests contain at least one egg This means that the expected number of nests out of 21 with at least one egg is 15 54 The standa deviation in the number of nests out of 21 with eggs is 2 01 The probability that 19 or more nests have at least one egg is 6 15 The probability that at most 10 nests have at least one egg is 0 88 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 P CT S C P x 10 P x 11 P x 19 P x 19 21 0 74 0 26 15 54 2 01 X X X X

Sociologists say that 85 of married women claim that their husband s mother is the biggest bone of contention in their marriages sex and money are lower rated areas of contention Suppose that eleven married women are having coffee together one morning Find the following probabilities Round your answers to three decimal places USE SALT a All of them dislike their mother in law x b None of them dislike their mother in law 0 000009 c At least nine of them dislike their mother in law X d No more than eight of them dislike their mother in law

Video Tutorial The monthly demand equation for Penn State Bakery Mini Cookie Canisters is given by p 49 x where x represents the number of hundreds of canisters and p is the price in dollars of a single canister a If p 5 find the corresponding value of x x 2 6 b If each canister sells for 5 dollars determine the number of canisters demanded Round your answer to the nearest integer Number of canisters demanded 4 9

Simplify each expression and eliminate any negative exponents a x 7 x5 b w 2w 6w7 c x20 x14

Not yet answered Marked out of 1 00 If p A 0 4 p B 0 5 and P ANB 0 2 then p B A O a 0 5 O b 0 2 O c no correct answer O d 0 4 O e 0 08

Question Find the area in square units bounded above by f x 6x 2x 19 and below by g x 7x 12x 21

The voltage across a capacitor with the value C 3 F is given by the waveform in Fig P6 10 Find the waveform for the current in the capacitor for the time interval t3 t t5 given that t3 45s t5 86s Note The given values for C t1 t2 t3 and or t5 may be different than what you have used in previous questions v c t V 12 Frange t1 t2 t3 t4 t5 12 Figure P6 10 Notes on entering solution Enter your solution in Amps Pay attention to the interval given Enter your solution to 2 decimal points Do not include units in your answer ex 5W is entered as 5 00 t s

Use the scatterplot to answer the question Fahrenheit Average Annual Temperature in degrees 90 increase 80 70 60 50 40 30 10 20 30 40 50 City s Latitude degrees north From inspecting the graph as a city s latitude tends to be farther north would you expect the average temperature decrease

credited accounts and amounts and transaction descriptions Go to General Journal June 3 June 5 June 6 June 6 June 8 Record the transaction from Part 1 A receipt shows Michelle Sanchez paid cash to purchased 20 bales of hay for 600 00 from Buddy s Pet Supplies A withdrawal slip shows Michelle Sanchez withdrew 1 000 00 from the business account for personal use An invoice shows Michelle Sanchez purchased 300 00 of dog treats and toys from Buddy s Pet Supplies on account An invoice shows that Critter Sitters Animal Care was hired to feed the Smith s dogs for 50 00 cash June 10 A receipt shows that Michelle Sanchez was paid 30 00 cash to bathe the Turner s cats

Professor Cramer determines a final grade based on attendance two papers three major tests and a final exam Each of these activities has a total of 100 possible points However the activities carry different weights Attendance is worth 4 each paper is worth 5 each test is worth 13 and the final is worth 47 a What is the average for a student with 91 on attendance 72 on the first paper 82 on the second paper 84 on test 1 85 on test 2 81 on test 3 and 92 on the final exam b Compute the average for a student with the above scores on the papers tests and final exam but with a score of only 22 on attendance

A tennis court is being expanded to accommodate sitting stands The original space that measures metres on all sides will be enlarged by 7 m on each side Choose the expression for the new total area in m increase

Precalculus Review Course Packet on the domain of a function Functions Course Packet on functions domain and range Determine the domain of each of the following functions Enter your answer using interval notation a Domain of 9x 4 x 2 b Domain of 1 9x 4 x 2 d Domain of c Domain of 4 9x x 2 1 4 9x x 2

equation B 6 022x 1023 atoms mol 0 805 g 20 18 g mol After rounding the answer to equation B should have O4 significant figures O3 significant figures O 5 significant figures O2 significant figures O1 significant figure 2 402 x 1022 atoms unrounded

How many observations should a time study analyst plan for in an operation that has a standard deviation of 3 1 minutes per piece The goal is to estimate the mean time per piece to within 1 3 minutes with a confidence of 95 5 percent Do not round intermediate calculations Round up your final answer to the next whole number Numbe

In an initial survey designed to estimate the percentage of time air express cargo loaders are idle an analyst found that loaders were idle in 4 of the 50 observations a What is the estimated percentage of idle time Round your answer to 2 decimal places Estimated percentage of idle time b Based on the initial results approximately how many observations would you require to estimate the actual percentage of idle time to within 3 percent with a confidence of 99 percent Round your z value to 2 decimal places Do not round any other intermediate calculations Round UP your final answer to the next whole number

manager at Strateline Manufacturing must choose between two shipping alternatives two day freight and five day freight Using e day freight would cost 180 less than using two day freight The primary consideration is holding cost which is 8 per unit a year 300 items are to be shipped hich alternative would you recommend Do not round your intermediate calculations O Five day freight OTwo day freight

Prepare a master schedule given this information The forecast for each week of an eight week schedule is 60 units The MPS rule is to schedule production if the projected on hand inventory would be negative without it Customer orders committed are as follows Week Customer Orders 1 2 3 55 40 25 12 Use a production lot size of 90 units and no beginning inventory In the ATP row enter a value of 0 zero in any periods where ATP should not be calculated Leave no cells blank be certain to enter 0 wherever required June July Forecast Customer Orders Projected On Hand Inventory MPS 60 55 2 60 40 3 60 25 60 12 5 60 0 60 0 7 60 0 60 0

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A toy manufacturer uses 47 600 rubber wheels per year for its popular dump truck series The firm makes its own wheels which it can produce at a rate of 700 per day The toy trucks are assembled uniformly over the entire year Carrying cost is 1 40 per wheel per year Setup cost for a production run is 38 The firm operates 238 days per year Determine the following a Optimal run size Round your answer to a whole number following normal rules of rounding EPO b Use your final answer from part a to determine minimum total annual cost for carrying and setup Round your answer to a whole number Total Annual Inventory Cost c Cycle time for the optimal run size Round your answer to two decimal points Cycle Time power to buio decimal points

b Given the following logic circuit A Bo Do Co Do i Find a Boolean expression for the output Q for this logic circuit Use the laws of boolean algebra and give to simplify this expre

Find the altitude of a isosceles triangle Round your answer to twe decimal place 0 1 b M E Use Simples radical form Tood

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12 pts I work for a pharmaceutical company and I want to show that our new pill lowers cholesterol I know that by not taking a pill there is a 0 milligram per deciliter mg dl drop in blood cholesterol with a standard deviation of o 13 mg dl Assume that cholesterol is normally distributed In a random sample of 80 men taking the new cholesterol drug I find a drop in the blood cholesterol of 3 mg dl x 3 I need to find out if this is a statistically significant drop Test at the 0 05 significance level a What type of test are we using Determine if a test is left tailed right tailed or two tailed

Verify the identity csct 1 cott O A Choose the sequence of steps below that verifies the identity OB O C O D cott csc1 1 csct 1 csct 1 cott cott csct 1 csct 1 cott cott csct 1 cott csct 1 cott csct 1 csc 1 1 CSC csct 1 cot csct 1 csct 1 csct 1 csct 1 csct 1 cott csct 1 csc 1 1 cott csct 1 csc 1 1 cott csct 1 csct 1 csct 1 csc t 1 cott csct 1 cott csct 1 cott cott csct 1 cot 1 cott cact 1 cot t cott csct 1 cot t cott csct 1 cott csct 1 cott csct 1 cott csct 1 cott csct 1

Prove the given identity csc 0 1 CSC 0 Choose the correct proof below OA osc 0 OB csc 0 OC csc 0 cos 0 cot 0 OD csc 0 1 csc 0 1 csc 1 csc 0 1 csc 0 sin 0 sin 0 sin sin 0 sin 0 1 sin 0 sin 0 sec 0 sin 0 1 sin 0 in 0 sin 0 1 sin 0 sin 0 1 sin 0 sin 0 cos 0 sin 0 cos sin 0 sin 0 cos 0 sin 0 cos 0 cos Ocot O cos Ocot O cos Ocot 0 cos Ocot 0

HW Problem 16 Let S be the portion of the sphere 2 y z 16 that lies in the first octant Compute the flux of the field F z x y across S

Figure AD AS Model II Aggregate price level P questions 12 14 LRAS E Y potential output SRAS AD Real GDP 12 Figure AD AS Model II As the size of the labor force increases over time which of the following will take place A LRAS will shift to the right B LRAS will shift to the left C AD curve will shift to the left D AD curve will shift to the right

The distribution of wages at a company is right skewed with outliers at high values Assuming you would like a high wage would you hope that your wage was closer to the mean median or mode The mean because the mean is greater than the median and mode when the distribution is right skewed The median because the median is greater than the mean and mode when the distribution is right skewed The mode because the mode is always higher than the mean and median

Find the period in degrees Then sketch the graph using degrees 54 y tan 0 55 y sin 0 60 120 180 240 300 360 56 y cos 0 X 74 90 180 270 360 450 540 90 y cos 90 0 eo y COSO 1 A y 180 Y COS 18 1

5 15 Use Lagrange Multipliers to find the absolute maximum of f x y z x subject to the constraint x y z z 1

The data below represent the length in miles of a random sample of tornadoes in a specific represents the number of miles a particular tornado was on the ground Use the data to complete parts a throug below Click the icon to view the table of tornado lengths a Draw a histogram of the data and comment on the shape Choose the correct histogram below O C O A Relative Frequency 0 6 0 4 0 24 0 0 6 12 18 Length in miles 24 Q Q Table of cell phone bills OB Relative Frequency 0 6 0 4 0 2 0 Tornado Length in miles 1 08 2 50 0 10 0 51 4 70 5 59 0 59 8 95 2 45 0 51 7 88 2 09 1 06 20 34 5 66 5 52 0 52 23 37 0 72 0 97 3 41 2 06 8 57 0 36 5 28 0 19 0 85 0 49 0 48 7 09 1 76 0 52 1 34 14 68 0 21 0 10 2 17 13 77 0 10 4 83 0 87 1 01 0 75 2 38 1 82 3 98 0 26 1 20 1 83 6 42 0 73 5 69 6 76 4 42 1 71 0 48 3 44 6 21 3 54 1 16 7 74 1 17 8 47 0 50 0 16 9 66 0 37 1 01 0 10 1 95 0 10 0 21 0 10 9 36 0 41 1 13 8 23 0 11 3 36 0 10 0 6 18 12 Length in miles 4 99 1 82 3 47 0 10 0 12 0 24 Q Q 5 Relative Frequency 0 4 0 2 X 0 0 3 6 9 12 15 Length in miles Q Q G

60 50 40 30 20 10 10 10 Rafaela is a lifeguard and spots a drowning child 40 meters along the shore and 60 meters from th shore to the child Rafaela runs along the shore for a while and then jumps into the water and swims from there directly to the child Rafaela can run at a rate of 3 meters per second and swim a a rate of 1 meter per second How far along the shore should Rafaela run before jumping into the water in order to save the child Round your answer to three decimal places 10 20 30 40

Simplify the given expression The result will be one of sin x cos x tan x cotx secx or csc x tan x cot x CSC X tan x cot x CSC X

Let A 3 4 8 Which of the following relations on A are symmetric Select all that apply OA 3 8 4 8 8 3 8 4 8 8 B 3 3 3 4 4 3 4 8 8 8 OC 3 3 4 4 OD 3 4 3 8 4 3 4 8 8 3

Find the intercepts and then use them to graph the equation 4x 2y 8 CODE Use the graphing tool to graph the line Use the intercepts when drawing the line If only one intercept exists use it and another point to draw the line Click to enlarge graph 2 Ay 10 18 10

For the following geometric sequence find an 4 8 16 32 find a12 a12

Length 1 foot 12 inches 1 yard 3 feet 36 inches 1 mile 5280 feet 1 inch 2 54 centimeters 1 foot 30 48 centimeters 1 yard 0 9144 meter 1 meter 1 0936 yards 1 mile 1 609 kilometers Volume 2 cups 1 pint 2 pints 1 quart 32 fluid ounces 1 quart 4 quarts 1 gallon 1 cup 0 2366 liter 1 quart 0 9464 liter 1 liter 1 0567 quarts Mass 16 ounces 1 pound 2000 pounds 1 ton 1 metric ton 1 000 kg 1 ounce 28 grams 2 2 pounds 1 kilogram 1 1 tons 1 metric ton 1 If a car averages 25 miles per gallon how many kilometers per liter would that be Show all work