Math - Others Questions

6 Let T R R be a linear transformation such that T 1 1 1 2 0 1 T 0 1 2 3 2 1 and T 1 0 1 1 1 0 find T 2 1 1

find the Laplace transform of di iR E 1 L 2 dt where L R and E are constants and i 0 0 d x dq 2 dt dt t 2t

4 10 points Answer the following questions Talking a Consider a two state Markov chain Suppose that in a game of poker win a hand the probability of winning the next hand is However if you lose a hand the probability of winning the next hand is Give the transition matrix of the Markov chain and compute the stable distribution for the Markov chain

3 2 300 cg 4 500 m 5 70 kL m cm

you convert The first one is started for you Liters L 8 Expression 8 10 31 31X10 450 450X10 600 Centiliters CL 800 3100

1 Statistician 2 Analyst 3 Instructor Director 5 Accountant 212 50 350 50 615 84 68 40 253 82 56 80 762 20 8 282 48 398 42 910 48 3 952 00 5 012 90 7 467 97 2 147 80 4 697 80 Commerce Bank hired Pete Drexel as its new branch office manager at an annual salary of 59 500 00 Advertising Costs Interview Expenses P Drexel L Lindsay Search Agency Fee 15 of first year s annual salary 421 27 85 25 94 60

9 11 9 cm A 2 25 to 12 2 cm 12 cm

A 35 2 8 3 1 2 m MC A 12 m A 35 2 4m 9 11 9 c Find worksheets games lessons more at e

h B 30 12 212 1 3 A 1 3 8 2 cm D 11 1 cm 7 5 cm A 3 A 8 3 1 2 m 3

10 8 6 4 2 2 4 6 8 10 2 4 6 8 10 10 8 6 If a new graph of three linear equations is created using the system equations shown and the equation x 4y 16 how many soluti x y will the resulting system of three equations have A Zero B Exactly one

Minutes after injection 0 5 10 15 20 Penicillin concentration micrograms per milliliter 200 152 118 93 74 200 150 100 50 5 10 15 20 Time minutes When a patient receives a penicillin injection the kidneys begin removing the penicillin from the body The tab and graph above show the penicillin concentration in a patient s bloodstream at 5 minute intervals for the 20 minutes immediately following a one time penicillin injection The penicillin concentration in micrograms per milliliter in the patient s bloodstream t minutes after the penicillin injection is modeled by the function P defined by P t 200b If P approximates the values in the table to within 10 micrograms per milliliter what is the value of b rounded to the nearest tenth

If ax 2 bx 7 15x cx 14 for all values of x and a b 8 what are the two possible values for c 3 and 5 6 and 35 10 and 21 31 and 41

The following table lists hypothetical values 1 2 Nominal GDP 980 00 2019 1 020 00 2020 1 050 00 2021 1 200 00 2022 1 400 00 Year 2018 3 GDP Deflator base year 2020 90 92 100 105 110 4 Real GDP base year 2020 S 5 6 Percentage GDP change in real Deflator base GDP 7 Real GDP base year 2022 year 2022 81 8 83 6 90 9 95 5 100 Fill in Column 4 by calculating real GDP using the GDP deflator with a base year of 2020 from Column 3 Fill in Column 7 by calculating real GDP using the GDP deflator with a base year of 2022 from Column 6 Enter your responses rounded to the nearest whole number SA 50 A S Fill in Column 5 by calculating the annual percentage change in real GDP for each year using the values from Column 4 Fill in Column 8 by calculating the annual percentage change in real GDP for each year using the values from Column 6 ses rounded to two decimal places and include a minus sign if necessary Estoris 8 Percentage change in real GDP

Suppose an economy has an inflation In this case the real interest rate is rate of 2 9 and a bank makes a loan with an interest rate of 6 7 Enter your response rounded to one decimal place

A simple economy produces two goods Bread and Software Price and quantity data are as follows Production and Prices in Year 1 Base year Quantity 105 650 In Year 2 nominal GDP is equal to and real GDP is Product Bread Software Product Bread Software Price Per Unit Production and Prices in Year 2 Quantity 131 25 975 00 1 50 55 00 Price Per Unit 2 25 110 00 enter both responses rounded to the nearest penny

Suppose the information in the following table is for a simple economy that produces only the following four goods shoes hamburgers shirts and cotton Further as that all of the cotton is used to produce shirts 2012 Statistics Quantity 110 75 60 10 000 2022 Statistics Quantity Price 55 00 2 00 35 00 0 08 Product Shoes Hamburgers Shirts Cotton a If the base year is the year 2012 then real GDP for 2022 equals round your answer to the nearest penny 120 100 55 8 000 2023 Statistics Quantity Price 75 00 2 25 30 00 0 07 Price 70 00 2 00 30 00 0 06 120 120 75 12 000

Use the data in the following table to calculate the GDP deflator for each year values are in billions of dollars enter your response rounded to two decimal places remember to multiply by 100 Source Federal Reserve Bank of St Louis FRED research stlouisfed org fred2 Year 2017 2018 2019 2020 2021 Source Federal Reserve Bank of St Louis FRED research stlouisfed org fred2 Nominal GDP 19 477 20 533 21 381 21 060 23 315 Real GDP 18 077 18 609 19 036 18 509 19 610 GDP Deflator

The following table gives nominal and real GDP for an economy for two years Nominal GDP Real GDP Based on the table in Year 2 the value of the GDP deflator is Year 1 1210 0 1 100 Year 2 1540 0 1320 0 Round your answer to one decimal place

Consider the following simple economy that produces only three goods Real GDP in 2017 equals Product Denim pants Wine Textbooks 2009 Base Year Quantity 80 90 15 Price 40 11 90 Quantity 100 80 20 2017 Price 50 10 100

Suppose that a simple economy produces only the following four goods and services shoes hamburgers shirts and cotton Further assume that all of the cotton used to produce shirts Use the information in the following table to calculate Nominal Gross Domestic Product Nominal GDP for 2022 PRODUCTION AND PRICE STATISTICS FOR 2022 Price Product 60 00 2 00 25 00 0 60 The Nominal GDP for the year 2022 is Shoes Hamburgers Shirts Cotton Quantity 100 100 50 1 800

Social strategies to reduce stress including

The area of the region bounded by the curves y f x 2x 62 is given by OA B C D 6a 2x 6 and y g x x 3x x 3 3x 3a x 3 da 1 32 3x x 3 da 3a 9a 3a 9 da 3 3a 9a 3x 9 da L f 3x 9x 3x 9 dx 3x 9x 3x 9 dx L 32 91 S 3x 9x 3x 9 da 3x 9x x 3 dx 3x 9x x 3 dx

Find all factor pairs for each number 24 48

Test III Fill in the missing number 4 points each 1 2 3 4 5 5810 3A16 10016 8 2008 011100002 8 2A16 2C16 4610 1510 1E16 8 1708 17508 6416 10

In pounds of ten year old girls are collected from a neighborhood A sample of 26 is given below Assuming normality use Excel to find the 98 confidence interval for the population mean weight Round your answers to three decimal places and use Increase order Weight 66 4 86 3 71 3 52 8 68 0 85 0 66 2 79 2 93 5 84 5 71 1 74 5 65 0 58 5 59 8 80 2 69 2 92 9 78 9 59 4 31 66 5 60 7 80 1 60 4 74 5

Click the following link to view GDP GNP data from FRED Then use that data to answer the following questions Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis For this exercise you will need to enter data from FRED for Gross Domestic Product GDP and Gross National Product GNP Using the data from FRED enter the values for the first quarter of 2023 shown as 2023 01 01 in FRED for the following series IDS Enter your responses exactly as they appear in FRED Value Title Gross Domestic Product Gross National Product Series ID GDP GNP billion billion

ollowing table illustrates the value added approach to calculating GDP Please complete the table Value of Product Value Added By The cotton farmer The textile mill The shirt company Firm Cotton farmer Textile mill Shirt company L L Bean Raw Cotton 2 Cotton woven into cotton fabric 4 Fabric made into a shirt 16 Shirt sold on L L Bean s CUS 51 M C website 36 L L Bean SEVE EI 1 Total Value Added Value Added Equals 2 2 12

An artist buys scrap metal from a local steel mill as a raw material for her sculptures Last year she purchased 5 000 worth of scrap metal With the steel she produced 10 authentic sculptures that she sold for 800 each to a local art dealer The art dealer then sold all of the sculptures to art collectors for an average of 1 000 each The total value added of the artist is Enter your response as an integer

State the domain of each 5x 2 5A f x 7x 12

Given a floating point format with a k bit exponent and an n bit fraction write formulas for the exponent E significand M the fraction f and the value V for the quantities that follow In addition describe the bit representation a The number 15 0 b The reciprocal of the smallest positive normalized value c The largest odd integer that can be represented exactly

Guided Practice 2x 3 x 2x 1 find each function value 4B f 6x

3 Consider the following assumptions for implementing heap memory a Explicit free list b 4 byte pred and succ pointers in each free block c Zero size payloads not allowed d Headers and footers are stored in 4 byte words Determine the minimum block size for each of the following combinations of alignment requirements block formats Alignment Allocated block Free block Minimum block size bytes

Consider an array stored in memory from address 6 6000 int array 4 4 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Suppose the machine implements a fully associative cache only one set bit with a single line of 16 bytes The memory addresses can then be partitioned into 2 tag bits and 4 block offset bits For example the memory address 6 b101100 would be formatted as tag bits 2 b10 and block offset bits 4 b1100 a Version 1 Suppose the array is accessed with for loops below and the cache is cold to start completely empty How many caches misses would each for loop incur int sum 0 for int i 0 i 4 i for int j 0 j 4 j sum array i j to 6 b Version 2 is declared as follows int sum 0 for int j 0 j 4 j for int i 0 i 4 i sum array i j

1 Consider the following dump of the assembler code for the function getbuf 0x601748 0 push rax 0x60174c 4 sub 0x40 rsp 0x60174f 7 0x601754 12 mov rsp rdi callq add 0x601759 17 Ox60175d 21 pop 0x60175f 23 retq 0x40198a Gets 0x40 rsp rax Gets is similar to the standard library function gets it reads a string from standard input terminated by n or EOF and stores it along with the terminator at the specified destination Function Gets and gets is unable to determine whether the destination buffers are large enough to store the read string Suppose a malicious function is stored at memory address Ox500142 What input should an attacker provide to getbuf to run the malicious function after returning from getbuf

Which data set has the same standard deviation as the data set 1 1 3 5 837 O 9 8 9 8 9 O 2 2 4 6 9 O 1 2 6 6 9 O 1 1 1 2 2

What is the interquartile range for the data set 4 7 7 3 5 2 679 09 O 3 5 07 5 6

What is the range of the middle 50 of the data H 0 1 2 3 4 5 6 7 O 12 6 9 10 11 12 13 14 15 16 17 18 19

That is the five number summary for the data sel 340 245 322 766 88 455 483 610 244 160 min 340 Q1 322 med 455 Q3 483 max 527 O min 88 Q1 244 med 455 Q3 527 max 766 min 88 Q1 244 med 340 Q3 527 max 766 min 88 Q1 244 med 385 Q3 527 max 766 527

What is the range of the data 2 3 4 5 6 7 1 1 11 6 O O 5 3 O 6 7 10 6 4 5 11 7 8 5 3 2 6 7 7 9

Let Xn n 3 5n 6 and yn xn xn 1 Prove the following for all positive integers n i yn is an integer hint n n 1 is an even integer ii xn is an integer Hint use mathematical induction and part i

Consider the following table GDP Depreciation Corporate earnings Transfer Payments Personal Tax Payments National income NI equals billion Enter your response as an integer Billions of dollars 13 100 1 400 1 250 600 1 500

Economists often are interested in percentage change from one period to the next The percentage rate of change of gross domestic product GDP is an important macroeconomic variable If in 2010 GDP was 11 150 billion dollars and GDP increased to 11 163 billion in 2011 what is the growth rate of the U S economy in 2011 6 Enter your response rounded to one decimal place

Real Time Data Analysis Exercise Consider the following data for the United States A the economic growth rate OB profit OC revenue Year 2019 2020 Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis The percentage change in real GDP from 2019 to 2020 2 77 Enter your response rounded to two decimal places and include a minus sign if necessar This percentage change in real GDP is also known as D marginal analysis Real GDP billion 19 036 1 18 509 1

Which of the following is a graph of a single variable OA Graph A B Graph B OC Graph C Sales millions of automobiles 6 5 6 0 5 5 5 0 Graph A 4 5 2005 2007 2009 2011 2013 2015 Q 50 40 30 20 10 Graph B U S firms Japanese firms European firms Korean firms Graph C European firms 9 496 Japanese firms 37 99 U S firms 45 5 Korean firms 7 2

The table below contains data on the number of farms F in thousands in year t 2000 2002 2004 93 91 90 1 1998 F 99 Select the line graph on the right that represents the data Hint Click the magnifying glass in the upper right hand corner of each graph to see it full size SITE O A AF 120 100 80 60 40 20 0 1996 C 120 6 8 8 8 8 100 80 60 40 t 2006 Q Q Q Q B AF 120 100 80 60 40 20 0 1996 O D 120 100 80 60 40 2006 S Q Q EV

Write the ratio as a ratio of whole numbers using fractional notation Write the fraction in simplest form 2 1 12 labor hours to 3 labor hours 3 The ratio in simplest form is Type the ratio as a simplified fraction

As part of an Arbor Day celebration the county of Margiana is planting 35 new trees The trees will be allocated to the county s four parks according to each park s size in acres The park sizes in acres are shown in the table below Use Webster s method to allocate the trees to the parks You may use the apportionment tool to help you To do this turn ON the apportionment tool enter a divisor and click on Compute You will then see the quota the lower quota the rounded quota to the nearest whole number and the upper quota for each park You may also click on active cells to fill in the bottom row Apportionment Tool OFF Park Size in acres Number of trees Boliden 320 J Silverlake 128 Glenesk 157 TE Nurmes 347 1 Total 952 0

3 Show graphically the graph of the correspondence f R f x 0 5x x R wher

Let R be the region 1 y x False y x X By taking the order of integration as dyde over R we can solve the integral using one region of integration only True

Domain dan range dari f x 3x 7 dari fung x 6 5