Basic Math Questions and Answers

poll was taken of 100 students at a commuter campus to find out how they got to campus The results were as follows 22 said they drove alone 26 rode in a carpool 26 rode public transportation 3 used both carpools and public transportation 3 used both a carpool and sometimes their own cars 3 used buses as well as their own cars 2 used all three methods ow many used none of the above mentioned means of transportation students

Use set notation to identify the shaded region O An B O An B O AnB O AUB OAUB U A B

At noon ship A is 20 nautical miles due west of ship B Ship A is sailing west at 23 knots and ship B is sailing north at 25 knots How fast in knots is the distance between the ships changing at 6 PM Note 1 knot is a speed of 1 nautical mile per hour

A 2 year old is to receive a 1 tbsp dose of an oral liquid medication Which piece of equipment is the best choice to administer this to the child 2 tbs 1 tbs 2 tsp 1 tsp 1 2 150 01 02 1 30 mL 25 mL 20 ml 15 mL 10 mL 5 mL wwwwwwwwwwwwww 1ml tsp 2mL 3ml Isp 4ml 5ml 2 THE BEST SE 3 12 312 12 32 tsp tsp 4

Write the compound statement in symbolic form Assign letters to simple statements that are not negated and show grouping symbols in symbolic statements Filing a health report and an insurance claim is necessary for each physician or patient Let p represent the simple statement File a health report q represent File an insurance claim r represent a physician and s represent a patient The compound statement written in symbolic form is

Find the present value of an ordinary annuity which has payments of 1700 per year for 13 years at 8 compounded annually The present value is Round to the nearest cent PO

A book store manager observes that the number of calendars sold seems to vary inversely as the price per calendar If the store sells 620 calendars per week when the price per calendar is 17 80 how many does he expect to sell if he lowers the price to 14 40 Round your answer to the nearest integer if necessary Answer Keypad Keyboard Shortcuts

1 There are 249 giraffes out of 726 large animals in the nature preserve Find the ratio of giraffes to the total number of large animals in the park State your answer as a fraction

Consider the following function Answer g x 3 7 2x 5 if x 2 Step 2 of 3 Identify the general shape and direction of the graph of this function on the interval 2 0 if x 2 Ke Keyboard Sh

4 Let A 1 3 2 0 C C 10 Find the value s of c so that A is not invertible

launched upward with a velocity of 320 feet per second from the top of a 50 foot structure What is the maximum height attained by the arrow height function ter your answer opens in new window The height of an object in feet can be represented by Height Function h t 16t2 M t h where I is in seconds Here vo represents the initial velocity of the object in feet per second and ho represents the initial height of the object in feet Keypad Keyboard Shortcut

An arrow is launched upward with a velocity of 192 feet per second from the top of a 95 foot stage What is the maximum height attained by the arrow Answer height f KE

a population of bacteria initally 700 too as is that it growing 18 46 30 minutes so every increases by as give an equation for the as population P a function the number passed b How long population to E hours does it take the double in size 1 001 s188 091

An arrow is launched upward with a velocity of 96 feet per second from the top of a 50 foot building What is the maximum height attained by the arrow height function

Step 4 Give the coordinates of the vertex x y 4 2 Step 5 To find the zeros or x intercepts of the function we solve the equation y x x 0 for x y f 0 x x Give the zeros below Enter your answers as a comma separated list x 0 8 4 2 The y intercept is y x 0 Step 6 To find the y intercept of the function we need to calculate y f 0 1 2 8 0 8

The x coordinate of the vertex is 4 Use that value in the equation to determine the y coordinate of the vertex y f f 4 2a 4 2 Step 4 Give the coordinates of the vertex x y 4 2 4 2 Step 5 To find the zeros or x intercepts of the function we solve the equation y x 0 0 Give the zeros below Enter your answers as a comma separated list 1 2x x x 0 for x

Use set notation to identify the shaded portion of the following Venn diagram O AUB O AUB OAUB O An B An B X U B

Perform the given set operation NUW 00 OW SON OZ OQ

Onsider the following sets A 15 B 10 5 C 10 5 D 2 E 2 3 a What is the cardinality of each set A 1 B 1 C 2 D 1 E 2 11 b Which of the sets are equivalent B C D A E OAB C OABD O D E C E AB C D E OABE D C c Which of the given sets are equal A D E B C A B D C E C E A B 20 F X

Sets can be written by description roster or set builder notation Write the given set in two alternative ways Roster 16 8 0 8 Write out in words the description of the set The set of all Select Write the set in set builder notation O xlx 8k k a whole number O x x 8k k a negative integer O xlx 8k k an integer O xlx 8k k an odd integer O x x 8k k a natural number that are multiples of Select

Specify the sets by roster a Distinct letters in the word pipe b Counting numbers greater than 140 Enter only the first three values of this set

Metals A and B melt at 600 C and 300 C respectively They are partially soluble in the solid state and form an intermetallic compound AXBY at 40 B with a melting point of 900 C A eutectic reaction is formed at 20 B and 300 C and a peritectic reaction at 60 B and 500 C Cooling curves show arrest points at 300 C over the range 10 to 40 B and at 500 C over the range 40 to 80 B At room temperatures the solubility of B in A is 5 and A in B 10 Assuming all phase boundaries are straight lines and that there is no solubility of A or B in the compound AXBY draw the equilibrium diagram for the system A B Label the phase fields

A lawn service company charges 68 for each lawn maintenance call The fixed monthly cost of 652 includes telephone service and depreciation of equipment The variable costs include labor gasoline and taxes and amount to 38 per lawn Part 1 of 5 a Write a linear cost function representing the monthly cost C x for x maintenance calls The linear cost function is C x 38x 652 Part 1 5 Part 2 of 5 b Write a linear revenue function representing the monthly revenue R x for x maintenance calls The linear revenue function is R x

Simplify the following 41 type your answer

Find the sum of the following ser 39 27 243 Selected Answer Response 3 27 243 8 81 273 89 184 None Given

Rewrite the following in the form of a single exponential 73 74

Complete the following tables for each indicated gate Symbol Gate AND U2A A B 0 0 0 1 1 0 1 1 7408N Truth Table output E Gate A 0 0 1 1 B 0 1 0 1 Symbol ED Truth Table output

Find the indicated sum for each o following Question S7 5 10 20 S10 54 18 6 S7 24 12 6 Answer A B c1

Hari has a bag containing 5 red 3 green 6 orange and 10 black jellybeans He randomly selects 8 jellybeans without replacement What is the probability that he will select more than six black ones 0 0021 0 0023 0 0260 0 0283

The normal approximation is used to estimate the shaded area shown in the binomial distribution shown below Which of the following probability statements gives the most appropriate approximation of the area 0 P 4 5 X 8 5 OP 4 5 X 7 5 P 5 5 X 8 5 P 5 5 X 7 5 4 Fi 6 7 8 9 10 11 12 13 14 15 16

The number of adults living in homes on a randomly selected city block is described by the following probability distribution Number of adults x Probability P x 1 0 25 0 10 0 15 0 25 0 50 3 0 50 0 15 What is the probability that 4 or more adults reside in a randomly selected home 4 or more

The weights of male and female students in a class are summarized in the following boxplots Males Females 80 F F 100 120 140 160 180 200 220 240 Weight pounds Which of the following is NOT correct The median weight of male students is about 162 lbs The mean weight of female students is about 120 because of symmetry The male students have less variability than the female students About 50 of male students have weights between 150 and 185 pounds

The expression 9 x 8 x 7 x 6 can be expressed as O a 9P6 Ob 9P4 Oc 9P5 d both b c

For the graph classify the distribution n Mode Mean Obimodal negatively skewed symmetric positively skewed

State the number of ways that the 12 members of a baseball team can be lined up if Zoe and Ally must always be together 2177280 21772800 39916800 79833600

A national consumer magazine reported the following correlations The correlation between car weight and car reliability is 0 30 The correlation between car weight and annual maintenance cost is 0 20 Which of the following statements is NOT true Lighter cars tend to be more reliable Heavier cars tend to cost more to maintain Heavier cars tend to be less reliable Car weight is related more strongly to maintenance cost than to reliability

You deposit 200 in an account earning 6 interest compounded annually How much will you have in the account in 20 years

Price at which the item is sold 47 60 Part 1 of 4 a Write a linear cost function that represents the cost C x to produce x items The linear cost function is C x 3776 35 80x Alternate Answer C x 35 8x 3776 Part 1 4 Part 2 of 4 b Write a linear revenue function that represents the revenue R x for selling x items

Introduction In the third century B C King Hieron of Syracuse asked the famous mathematician Archimedes to determine if his crown was made of pure gold This was a puzzling problem for Archimedes he knew how to measure the weight of the crown but how could he measure the volume Archimedes solved the problem when he got into his bath and noticed the water spilling over the sides of the tub He realized that the volume of the displaced water must be equal to the volume of the object placed into the water Archimedes was so excited by his discovery that he jumped out of the bath and ran through the streets shouting Eureka Question How can you tell if a crown is made of solid gold 1 Think about it Gold is one of the densest substances known with a density of 19 3 g cm If the gold in the crown was mixed with a less valuable metal like bronze or copper how would that affect its density 2 Observe Drag each of the crowns into the liquid Based on what you see which crown do you think is densest Explain why you think so

The table below shows all possible outcomes when three fair coins are tossed First Second Third coin coin coin H H T H H T T T T H H T T H H T T H T H T H T Which of the following statements must be true There may be more than one answer Select one a The probability of getting exactly one tails is the same as the probability of getting exactly three heads b The probability of getting at least one heads is the same as the probability of getting at least two heads O c The probability of getting exactly two heads is 8 d The probability of getting all tails is the same as the probability of getting two heads

The hourly wages for three different people over three years are shown in the chart below Money earned per hour Dollars 16 00 14 00 12 00 10 00 8 00 6 00 4 00 2 00 S Year 1 Year 2 Year 3 Person 1 Person 2 Person 3 Which statement is true based on this information Select one a Person 2 earns more money in year 1 than Person 1 earned in any of the three years b Person 3 earns the most money every year c Person 3 earns twice as much money as Person 1 in the third year d Person 1 earns more money each year

The graph below shows the number of free throws made by five players on a basketball team What was the total number of free throws made during Week 2 Free Throws 10 9 8 2 1 0 Weekly Free Throw Numbers for Players b 6 Player1 Player 2 Player 3 Player 4 Player 5 Week 1 Week 2 Week 3 Select one a 24 c 30

The following preliminary unadjusted trial balance of Ranger Co a sports ticket agency does not balane Ranger Co Unadjusted Trial Balance August 31 20Y1 Cash Accounts Receivable Prepaid Insurance Equipment Accounts Payable Unearned Rent Common Stock Retained Earnings Dividends Service Revenue Wages Expense Advertising Expense Miscellaneous Expense Totals Debit Balances 62 830 29 530 9 900 56 370 51 700 13 200 9 550 233 080 Credit Balances 10 620 17 220 3 830 111 210 55 700 1 880 200 460

The graphs below show the population of City A and City B in 1950 and 2000 Population City A 3 000 2 500 2 000 1 500 1 000 500 0 O 1950 2000 3 000 000 2 500 000 2 000 000 1 500 000 1 000 000 500 000 0 Population City B 1950 Which of the following statements best explains how the graphs misrepresent the data The graph for City B makes its population appear much smaller but its population is only a little smaller than City A 2000 The graphs do not include information for the years between 1950 and 2000 so there is not enough information to compare their populations The graphs were created with different colors The graphs use different scales making it appear that City A has a larger population than City B

movement of the progress bar may be uneven because questions can be worth more or less including zero depending on your er A self serve frozen yogurt store made these graphs to study the data collected about its customers purchases Which statement is true Yogurt Salon in 2011 Other 10 Strawberry 30 Chocolate 38 Vanilla 22 7000 6000 5000 4000 3000 2000 1000 0 1 Month Ounces Sold Last Friday Stem 0 1 2 3 Leaf 3 to 4 p m 6688899 00125 3 Leaf 7 to 8 p m 78 2246668 0005 2 Which of the following statements is true The median number of ounces sold from 3 to 4 p m was more than the median number sold from 7 to 8 p m More customers prefer chocolate than strawberry and vanilla combined Yogurt sales had a decreasing trend during the last four months of 2011 The store sold 4 000 fewer units in November than in August

Simplify 35 C 3y5 O 314 3y 15 5y y

A self serve frozen yogurt store made these graphs to study the data collected about its customers purchases Which statement is true Yogurt Sales in 2011 Other 10 Strawberry 30 Chocolate 38 Vanilla 22 7000 6000 5000 4000 3000 2000 1000 0 Jan Feb because questions can be worth more or less including zero depending on your Mar April Month Ounces Sold Last Friday Stem 0 1 2 3 Leaf 3 to 4 p m 6688899 00125 3 Leaf 7 to 8 p m 78 2246668 0005 2 Which of the following statements is true More customers prefer chocolate than strawberry and vanilla combined O The store sold 4 000 fewer units in November than in August C Yogurt sales had a decreasing trend during the last four months of 2011 The median number of ounces sold from 3 to 4 p m was more than the median number sold from 7 to 8 p m

Find 0 for 0 0 2x sin 0 0 3392 0 Type any angles in radians between 0 and 2x Type a decimal rounded to four decimal places as needed Use a comma to sepa

Consider the graph below Find the betweenness of the following edges a AB b BC c DE 1 Consider the graph below Find the betweenness of the following edges a AB b BC B c DE A F E C 0

Amazon com to Best Buy Amazon com Inc AMZN is one of the largest Internet retailers in the world We will use Amazon as a continuing company exercise to reinforce the various tools and techniques for analyzing financial statements We will begin w the ratio of liabilities to stockholders equity Ratios can be used to compare companies in the same industry For Amazon there are a number of competitors that sell media electronic and other merchandise Best Buy Inc BBY is one such company The following total lia and stockholders equity information in millions is provided for Amazon and Best Buy for the end of a recent year Amazon Best Buy Total assets 64 747 13 519 Total liabilities 51 363 9 141 Total stockholders equity 13 384 4 378 a Compute the ratio of liabilities to stockholders equity for each company Round to two decimal places Liabilities to stockholders equity ratio Amazon Best Buy b Which of the following indicates the level of protection available to creditors 1 The ratio of total liabilities to stockholders equity 2 The ratio of current liabilities to total liabilities 3 The ratio of total liabilities to total assets