Basic Math Questions and Answers

2 Match each function to its end behavior K y 3x y x End Behaviour Q3 to Q1 Q2 to Q4 Q2 to Q1 Q3 to Q4 y 2x y 0 25x6 Functions

1 State the degree and the leading coefficient of each polynomial K a y 2x 3x 1 b y 21 2x 4x 6x

44 of 4 3 NO N 20 f 44 44 9 44 As shown above a classic deck of cards is made up of 52 cards Suppose one card is selected at random and calculate the following probabilities Round solutions to three decimal places if necessary The probability that a 10 or a Heart is selected is The probability that a face card or Diamond is selected is ODD The probability that the selected card is both a face card and a Heart is

Solve this system of linear equations x 3y 4z 4 3x7y 7z 8 4x 6y z 7 If the system has no solution put DNE for values of x y and z Answer x y 2

For which of the following equations is 2 3 not a solution O 3x 4y 6 O 5x 2y 16 O y x 1 O2y 3x 0

2009 the world s largest pumpkin weighed 1 725 kilograms An average sized pumpkin weighs 5 000 grams kilograms more than an average sized pumpkin Write your answer as a The 2009 world record pumpkin weighs mumeral

1 point Determine the end behavior of the following polynomial function f x 8 15x5 18x 0 8x15 The leading term of the polynomial is The degree of f x is The leading coefficient is The end behavior of the polynomial f x is of the form A BC D where A D B C

Calculate h 0 2 and f 1 04 for the given function with the Five point midpoint formula Take 3 digits of precision after the dot f x 3x 2 e

Would the following code print out Hello world Choose the correct answer x c 1 if length x cat Hello world Yes Due to explicit coercion length x is coerced to logical value TRUE Yes Due to implicit coercion length x is coerced to logical value TRUE O No Due to explicit coercion length x is coerced to logical value FALSE No Due to implicit coercion length x is coerced to logical value FALSE

How many cups are in 3 quarts and 1 pint Enter the number only Do not include units

A grain trader buys the following amounts from three suppliers 3 200 pounds 7 200 pounds and 600 pounds What is the otal weight of his purchase 11 tons O 5 pounds 5 tons O 5 tons

How many ounces are in 3 pounds and 4 ounces O 7 ounces 432 ounces O O 67 ounces O 60 ounces

the following distribution to complete parts a through d below 3 4 8 11 14 D Compute the mean and standard deviation of the distribution o mean is 81 e standard deviation is 4 64 ound to the nearest hundredth as needed Multiply each number in the distribution by 3 and compute the mean and the standard deviation of this new distribution o mean is 24 o standard deviation is 13 92 ound to the nearest hundredth as needed Multiply each number in the original distribution by 9 and compute the mean and the standard deviation of this new distributi so mean is 72 mo standard deviation is ound to the nearest hundredth as needed

e correct choice that completes the sente bola is used to indicate the standard dev

Measures of dispersion are used to indicate the spread or

Fill in the blank so The difference between the highest and lowest data values in a data set is called the The difference between the highest and lowest data values in a data set is called the

7 The dragon on this sixteenth century bowl from the Chinese Ming Dynasty is best described as A purely decorative B intentionally frightening C a cultural symbol D an expression of personal identity

Uh her first six exams Sheryl received grades of 48 68 73 57 64 and 75 Answer parts a d a What grade must she receive on her last exam to pass the course Sheryl must receive a score of 35 or more on the last exam to pass the course Type a whole number Sheryl would need a score of to get a C Since it Type whole numbers GELERN b An average of 70 is needed to get a C in the course Is it possible for Sheryl to get a C If so what grade must she receive on the seventh exam Assume that the exams do not have any e credit questions possible to get a score of it possible to earn a C

mean average of 60 on seven exams is needed to pass a course On her first six exams Sheryl received grades of 48 68 73 57 64 and 75 Answer pa What grade must she receive on her last exam to pass the course eryl must receive a score of o or more on the last exam to pass the course pe a whole number

aylors have recorded their weekly grocery expenses for the past 16 weeks and determined that the mean weekly expense was 84 90 Later Mrs Taylor discovered that 11 was incorrectly recorded as 45 What is the correct mean correct mean is Round to the nearest cent as needed GETED

2 8 13 28 35 14 12 10 2 What is the mean Round to the nearest tenth as needed nge

Fill in the blanks with the appropriate symbols a The symbol for the sample mean is b The symbol for the population mean is a The symbol for the sample mean is

e average that is found by summing the data and then dividing the sum by the number of pieces of data is ca

Which of the following graphs are bipartite I K P A H K Q G E U D F S G B R B H X A P

Assume the end of the cable at A is pulled down with a speed of 2 m sec Find The speed VE at which block E rises Solution 2 m s B E

Suppose that you eamed a bachelor s degree and now you re teaching high school The school district offers teachers the opportunity to take a year off to earn a master s degree To achieve this goal you deposit 1000 at the end of each year in an annuity that pays 5 5 compounded annually a How much will you have saved at the end of five years Find the interest Next question b Click the icon to view some finance formulas a After 5 years you will have approximately Do not round until the final answer Then round to the nearest dollar as needed

A sofa regularly sells for 860 The sale price is 782 60 Find the percent decrease of the sale price from the regular price

Rewrite the following without an exponent 3 J

Rewrite the following without an exponent 8 0

3 Z 0 on the set x y x y 2Z Investigate whether the relation defin as E is an equivalence relation

4 32 Draw the shear and moment diagrams for the beam 6 ft 600 lb ft A 12 ft Prob 4 32 B

4 24 Draw the shear and moment diagrams for the bea A 2k 2k 4 ft 4 ft 4 ft 4 2k 2k ft4 ft 4 ft

a b 36 hands Four of a kind 624 hands Full house 3 744 hands Flush 5 108 hands Straight 10 200 hands Three of a kind 54 912 hands Two pair 123 552 hands One pair 1 098 240 hands Other hands 1 302 540 hands P three of a kind x P two pair x probabilities are mutually exclusive That is the 36 straight flushes do not include the 4 royal flushes and the 5 108 flush hands do not include the better

In dice a pair of ones is called snake eyes What is the probability of losing a dice game by rolling snake eyes Enter the probability as a fraction

A game involves tossing two coins and receiving 78 if they are both heads What is a fair price to pay for the privilege of playing this game twice

hat is the expectation for the 1 bets on a U S roulette wheel See the figure Round your answer to the nearest cent Six number bet

A box contains one each of 1 5 10 20 and 100 bills It costs 12 to reach in and withdraw one bill What is the expected value

A company held a bingo contest for which the following chances of winning were given PLAY ONE CARD AND WIN YOUR CHANCES OF WINNING ARE AT LEAST 1 TIME 7 TIMES 25 prize 3 prize 1 prize Any prize 1 in 21 252 1 in 2 125 1 in 886 1 in 609 1 in 3 036 1 in 304 1 in 127 1 in 87 13 TIMES 1 in 1 630 1 in 163 1 in 68 1 in 47 What is the expectation to the hearest cent from playing one card 13 times hearest

A punch out card contains 100 spaces One space pays 300 five spaces pay 15 and the others pay nothing How much should you pay to punch out one space Assume that you wish to pay the fair price

An oll drilling company knows that it costs 25 000 to sink a test well If oil is hit the income for the drilling company will be 415 000 If only natural gas is hit the income will be 145 000 nothing is hit there will be no income If the probability of hitting oil is 1 40 and if the probability of hitting gas is 1 20 what is the expectation for the drilling company x Should the company sink the test well Yes No

A magazine subscription service is having a contest in which the prize is 40 000 If the company receives 2 million entries what is the expectation of the contest

Consider a bowl containing 120 marbles 25 green 17 blue 25 gray 6 orange 4 yellow 21 cat eyes and 22 multicolored Suppose each marble has an equal chance of being picked from the bowl Find the following probabilities Round your answers to three decimal places a P orange b P cat eye c P yellow

Courtesy of Reader s Digest Inc for the Reader s Digest sweepstakes described Assume there are 186 000 000 entr 10 500 000 00 SWEEPSTAKES ENTRY DOCUMENT Official Disclosure of Dates To be eligible to win the FIVE MILLION DOLLAR Grand Prize you must return the attached Sweepstakes Entry Document by August 19 1991 Failure to respond by that date will result in the forfeiture of Grand Prize eligibility To be eligible to win any of 58 567 other prizes but not the Grand Prize return your Sweepstakes Entry Document by March 2 1992 Grand Prize Distribution Information If you are chosen Grand Prize winner you will receive FIVE MILLION DOLLARS in your choice of payment options Either 30 equal yearly payments of 167 000 00 each OR 360 equal monthly payments of 14 000 00 each You must specify your choice of payment option now by detaching the appropriate seal at left and affixing it onto the box provided on your Sweepstakes Entry Document OFFICIAL PRIZE LIST 100 000 00 50 000 00 20 000 00 5 000 00 1 First Prize 2 Second Prizes 3 Third Prizes 4 Fourth Prizes 10 Fifth Prizes 400 Sixth Prizes 58 147 Seventh Prizes Winner s choice of a Special Edition Men s or Women s Wristwatch an 89 00 approximate retail value 500 00 100 00 J P Burn SWEEPSTAKES DIRECTOR Sponsor

19 Determine the area in square units of the shaded regions 1 unit A B D E

An oil drilling company knows that it costs 25 000 to sink a test well If oil is hit the income for the drilling company will be 415 000 If only natural gas is hit the income will be 145 000 If nothing is hit there will be no income If the probability of hitting oil is 1 40 and if the probability of hitting gas is 1 20 what is the expectation for the drilling company X Should the company sink the test well Yes O No

Suppose that you have 5 quarters 5 dimes 5 nickels and 15 pennies in your pocket You reach in and choose a coin at random so that you can give it to your child What is the expectation Round your answer to two decimal places What is the most likely gift O a quarter O a dime O a nickel O a penny

Heights in inches obtained by a group of people in a random survey are reported in the following tab Height Probability 0 005 55 60 65 70 75 80 85 90 What is the expected height in inches in 0 025 0 133 0 337 0 337 0 133 0 025 0 005

A box contains one each of 1 5 10 20 and 100 bills You reach in and withdraw one bill What is the expected value

ch the tax form with the description 5p 1 W 9 Forms Requests for Taxpayer Identification 2 Form W 2 Summary of your previous year s earnings tax withholdings and other withholdings 3 Form 1040 US individual Income Tax Return a Used for long term jobs This determines how much of b This form comes from your employer and you use it as reference to complete your tax return c One of the official documents used to file your annual income tax return d Used for contract or sometimes seasonal work it is used for very short term work

Use INDEX and MATCH functions to fill in a table that extracts the amounts shipped between each pair of cities in the accompanying data which shows the solution to an optimization model that finds the minimum cost and amounts shipped from two plants to four distribution centers Your table should be set up as follows and the formulas for the Amount Shipped column should reference the names in the From and To columns Click the icon to view the data and model 8 Minneapolis Chicago 9 Minneapolis Phoenix Marietta Marietta Marietta To Cleveland Baltimore Chicago Phoenix Minneapolis Cleveland Minneapolis Baltimore Minneapolis Chicago Minneapolis Phoenix Replace the functions with the amounts shipped between each pair of cities From Marietta Amount Shipped 0 IZB 0 From 0 Marietta Marietta Marietta Marietta To Cleveland Baltimore Chicago Phoenix Minneapolis Cleveland Minneapolis Baltimore Minneapolis Minneapolis FINDEX Model MATCH H8 Plant U MAI CH 18 Center U INDEX Model MATCH H9 Plant 0 MATCH 19 Center 0 Chicago Phoenix Amount Shipped 2 3 Plant 4 Marietta 5 Minneapolis 6 Demand 7 8 Model 9 10 Plant 11 Marietta 12 Minneapolis 13 Demand 14 15 16 Total 17 18 19 20 21 22 23 24 25 26 27 28 29 Distribution Center Cleveland 13 24 9 71 200 Distribution Center Cleveland Cost 27 509 0 200 200 Baltimore Chicago 11 63 14 66 8 08 16 38 250 500 250 0 250 Phoenix 17 84 17 95 0 500 500 1000 Phoenix Baltimore Chicago Capacity 800 200 1000 1050 900 Total Shipped 1050 900