Math - Others Questions
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Math - Others
Basic MathA couple decides they want to have 6 children Use binomial probability to find the probability of having the same number of boys and girls Select one O a 9 b 31 O c 1 d 23
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Basic MathOn a multiple choice test each question has 4 choices If you make a random guess on the first question what is the probability that you are right Select one a 1 b 1 4 OC 4 ed 0
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Binomial theoremIn a particular school vote 30 of all voters are girls If two voters are randomly selected for a survey find the probability that they are both girls Select one a 0 03 b 0 30 C 0 6 d 0 09
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Basic Math1 point What is the difference between having a co signer and becoming an authorized user As a co signer you are responsible for the bills as an authorized user you are not As a co signer you open an account and an adult signs on with you as an authorized user you are added to someone s existing account With a co signer you can open a credit card as an authorized user you can open any type of credit account To be a co signer both people need to be over 21 to be an authorized user you can be any age
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Basic MathJenni is going to adopt kittens from a litter of 11 How many ways can she choose a group of 3 kittens
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Mathematical ReasoningA special committee of 5 members is to be chosen from 6 freshman and 4 sophomores Find the number of ways in which this can be done if there are no restrictions Select one O a 120 O b 252 O c 30 240 Od 240
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Inverse Trigonometric functionsJohnny gets a hamburger for his friend but forgets to ask what toppings he would want There are 6 different options If Johnny gets three toppings how many choices are possible Select one Oa 120 Ob 40 OC 20 Od 60
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Mathematical InductionFor example assume Sophia wants to earn a return of 7 00 and is offered the opportunity to purchase a 1 000 par value bond that pays a 7 00 coupon rate distributed semiannually with three years remaining to maturity The following formula can be used to compute the bond s intrinsic value Intrinsic Value 1 C 1 0 Unknown Variable Name A B Complete the following table by identifying the appropriate corresponding variables used in the equation IS 1 0 1 0 1 0 Based on this equation and the data it is value equal to 1 000 Semiannual required return Variable Value 1 000 to expect that Sophia s potential bond investment is currently exhibiting an intrinsic Now consider the situation in which Sophia wants to earn a return of 5 00 but the bond being considered for purchase offers a coupon rate of 7 00 Again assume that the bond pays semiannual interest payments and has three years to maturity If you round the bond s intrinsic value to the nearest whole dollar then its intrinsic value of rounded to the nearest whole dollar is its par value so that the bond
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Basic Mathreference you to a city or by finding square where etter and mber on the ge meet For tample the grid eference of the shaded square is B 3 123 A B 7 2 Write the grid reference 8 3 Locate grid square P 25 on the Official Road Map of Ontario What 400 series highway passes through this area Locate Arnprior on the map Show all Process 5 How many cities in Ontario have a population greater than 100 000 212 MHR Chapter 8 Travelling by Automobile Show all Process 4 What is the population range for Timmins Explain how you know 41 175 Matthew drives 225 km to visit his grandparents a If he travels at a speed of 90 km h how long will it take him b Matthew leaves his house at 2 30 p m What time will he arrive Ave Show all Process TONG VIVING less GAS used out a Matthew s car has a fuel consumption of 10 3 L 100 km b The price of gas is 0 77 L How many litres of gasoline will he use to travel the 225km for this trip 1 each connec How much will Matthew spend on gas for the round trip
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FunctionsStep 1 First write the function in general form y ax2 bx c Since a O Step 3 y X 8 The vertex is a maximum point The vertex is a minimum point b 2a x Step 2 The coordinates of the vertex of a quadratic function of the form y ax2 bx care 2 Use the values of a and b to determine the x coordinate of the vertex 1 y 0 the parabola opens downward 2 1 8 4 1 8 downward So is the vertex a maximum or a minimum The x coordinate of the vertex is 4 Use that value in the equation to determine the y coordinate of the vertex ya f b f 4
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Basic MathThe following technology matrix describes the relationship of certain industries within the economy to each other A F agriculture and food RM raw materials M manufacturing utilities SI service industries F SI A F RM 0 410 0 008 0 0 004 0 0 005 A F 0 026 0 494 0 190 0 023 0 029 0 150 RM 0 015 0 006 0 083 0 008 0 001 0 116 M 0 099 0 094 0 041 0 054 0 008 0 093 F 0 029 0 130 0 037 0 059 0 138 0 408 U 0 043 0 008 0 009 0 012 0 003 0 094 SI For each 1000 units of raw materials produced how many units of service were required 5 M fuels indust
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Basic MathMY NOTES ASK YOUR TEACHER The following technology matrix describes the relationship of certain industries within the economy to each other A F agriculture and food RM raw materials M manufacturing F fuels industry L utilities SI service industries RM MF U SI A F 0 410 0 008 0 0 002 0 0 006 A F 0 025 0 493 0 190 0 024 0 030 0 150 0 015 0 006 0 082 0 009 0 001 0 116 RM 0 097 0 096 0 040 0 053 0 008 0 093 F M 0 028 0 129 0 039 0 058 0 138 0 409 U 0 043 0 008 0 010 0 012 0 002 0 095 SI How many units of fuels were required to produce 1875 units of power utilities goods units
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Basic MathFind the inverse matrix if it exists If the inverse does not exist enter DNE into any cell 16 14 1 4
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Basic MathSketsa garis 2x y 4 dan lingkaran x 2 y 2 5 Tentukan titik potong garis dan lingkaran tersebut
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Basic MathFormula Sheet Susan and Jim each own a lawn care business The amount Susan charges for lawn care by the hour is shown in the table The amount Jim charges for lawn care by the hour is shown in the graph Susan s Lawn Care Number of Hours Worked 2 3 7 11 Amount Charged dollars 48 72 168 264 Amount Charged dollars 140 120 100 80 60 40 20 Jim s Lawn Care 0 1 2 3 4 5 6 Number of Hours Worked Calculator Referen What is the difference between Susan s and Jim s lawn care businesses in the amounts they charge for 10 hours of work OA 16 OB 20 OC 28 OD 40
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Basic MathFormula Sheet A disco ball is shaped like a sphere with a diameter of 16 inches To the nearest square inch what is the surface area of the disco ball OA 201 OB 402 OC 804 OD 3 215
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Basic MathAnne owns an art supply store Anne is analyzing the store s expenses and income because she wants to increase the store s profits The expenses include renting 1 250 square feet of space for 13 750 per month The store has only one employee who is paid 8 00 per hour plus 8 commission Much of the store s income comes from the sales of blank painting canvases and frames The table shows the prices of the canvases and frames sold at the store Art Store Prices Dimensions inches 8 by 10 16 by 20 18 by 24 24 by 36 Canvas Price 6 43 11 65 18 47 22 80 Frame Price 25 48 49 48 61 98 89 98 Formula Sheet Calculator Reference Type your answer in the box You may use numbers a decimal point and or a negative sign in your answer What is the rental cost in dollars per square foot that Anne pays for the art stor space
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Basic MathThe half life of cesium 137 is 30 years Suppose we have a 60 mg sample a Find the mass that remains after t years y t R mg b How much of the sample remains after 120 years Round your answer to two decimal places mg c After how long will only 1 mg remain Round your answer to one decimal place t yr
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TrigonometryWhich angle is not in the set of all angles described by 2nk O 17pi 8 O 31pi 8 O all choices here are coterminal O pi 8 O 15pi 8
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Basic MathThe figure shown on the right illustrates that the numbers 1 2 3 4 5 and 6 can be placed around a triangle in such away that the three numbers along any side sum to 9 which is shown in the circled number inside the triangle Arrange the numbers 1 2 3 4 5 and 6 to give the sums circled in the next three figures a Determine the numbers for a b c and d for the triangle shown to the right a b c d 6 6 2 10 d 4 BLAH
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Linear ProgrammingConsider the following loan scenario for Questions 36 through 39 300 000 10 25 Years 2 726 Monthly Loan Amount Interest Rate Term to Maturity Monthly Debt Service Frequency Debt Paid What would be the loan balance for the beginning of month two end of month one 300 000 O 297 500 O 294 000 299 774
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Basic MathNikhita is a team leader with a vision She sees that the team could achieve a remarkable goal and inspires the team to believe it Her team sees Nikhita as a role model and follow her lead with commitment to achieving this goal What type of leadership is Nikhita demonstrating Authentic Leadership Servant Leadership Transformational Leadership
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Basic MathHow many Sketch n Shares would you have to sell a month to make 5000 you buy the item for 75 and sell it for 100
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Basic Mathcan take are listed in the table Complete parts a through e below a Determine the number of points in the sample space The number of points in the sample space is 16 b Construct a tree diagram Choose the correct answer below Click here to view diagrama Click here to view diagram b Click here to view diagram d Click here to view diagram c Describe the sample space Choose the correct answer below GRT GRS GCT GCS BRT BRS BCT BCS PRT PRS PCT PCS ORT ORS OCT OCs GRC GRS GTC GTS BRC BRS BTC BTS PRC PRS PTC PTS ORC ORS OTC OTS GRT GRS GCT GCS BRT BRS BCT BCS PRT PRS PCT PCS OGRT GRS BCT BCS PRT PRS OCT OCS c Determine the probability that oceanography is selected The probability is Simplify your answer Poetry R Trigon Composition C Statist Geology G Biology 0 Physics P Oceanography 0
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Basic Mathsingle fair die is rolled twice Determine the number of points in the sample space Construct a tree diagram and determine the sample space Determine the probability that a double a 1 1 or 2 2 etc is rolled Determine the probability that a sum of 3 is rolled Determine the probability that a sum of 4 is rolled Are you as likely to roll a sum of 3 as you are of rolling a sum of 4 Click here to view choice d Click here to view choice c Click here to view choice a hat is the sample space Choose the correct answer below A 12 13 14 15 16 21 23 24 25 26 31 32 34 35 36 41 42 43 45 46 51 52 53 54 56 61 62 63 64 65 B 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 41 42 43 44 45 46 51 52 53 54 55 56 61 62 63 6 C 11 13 15 22 24 26 31 33 35 42 44 46 51 53 55 62 64 66 D 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 1 The probability that a double is rolled is 6 implify your answer The probability that a sum of 3 is rolled is 18 mplify your answer The probability that a sum of 4 is rolled is molify your answer
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Basic MathAsingle fair die is rolled twice Determine the number of points in the sample space Construct a tree diagram and determine the sample space Determine the probability that a double a 1 1 or 2 2 etc is rolled Determine the probability that a sum of 3 is rolled Determine the probability that a sum of 4 is rolled Are you as likely to roll a sum of 3 as you are of rolling a sum of 47 There are 36 points in the sample space Construct a tree diagram Choose the correct answer below Click here to view choice b Click here to view choice d Click here to view choice c Click here to view choice a That is the sample space Choose the correct answer below XA 12 13 14 15 16 21 23 24 25 26 31 32 34 35 36 41 42 43 45 46 51 52 53 54 56 61 62 63 64 65 B 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 41 42 43 44 45 46 51 52 53 54 55 56 61 62 63 64 c 11 13 15 22 24 26 31 33 35 42 44 46 51 53 55 62 64 66 D 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 The probability that a double is rolled is implify your answer
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Basic MathYou decide to take a science course an English course and a mathematics course during the next term The available courses that you can take are listed in the table Complete parts a through e below a Determine the number of points in the sample space The number of points in the sample space is 16 b Construct a tree diagram Choose the correct answer below Click here to view diagrama Click here to view diagram b Click here to view diagram d Click here to view diagram c Describe the sample space Choose the correct answer below MITS GRT GRS GCT GCS BRT BRS BCT BCS PRT PRS PCT PCS ORT ORS OCT OCS OTS GRC GRS GTC GTS BRC BRS BTC BTS PRC PRS PTC PTS ORC ORS OTC GRT GRS GCT GCS BRT BRS BCT BCS PRT PRS PCT PCS GRT GRS BCT BCS PRT PRS OCT OCS c Determine the probability that oceanography is selected The probability is Simplify your answer Mathemati Trigonomet Composition C Statistics 5 English Poetry R Science Geology G Biology B Physics P Oceanography O
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Inverse Trigonometric functionsan individual can be classified by gender as male female by hair color as black blonde brown red unknown and by eye color as black CCIES How many different classifications are possible for example male with black hair and brown eyes There are 20 different classifications Construct a tree diagram to determine the sample space he tree for gender has 2 branches from each branch of the tree for gender the tree for hair color has 5 branches from each branch of the tree for hair color the tree for eye color has 2 branches If each outcome is equally likely find the probability that the individual will be a female with red hair and black eyes he size of the sample space is 20 The probability of this event is 20 Type a fraction Simplify your answer Find the probability that the individual will be a male with black hair There are 2 sample points The size of the sample space is 20 the probability of this event is Type a fraction Simplify your answer
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Basic MathA box con replacement Complete parts a through e below b Construct a tree diagram Choose the correct answer below DA OB GOODS OC List the sample space Choose the correct answer below A SS SQ SM QS QQ QM MS MQ MM B SS SQ SM MS MQ MM C SQ QM MS D SQ SM QS QM MS MQ c Determine the probability that two moons are selected The probability is Simplify your answer d Determine the probability that a card containing a question mark and then a card containing a sun are selected The probability is Simplify your answer
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Basic Mathndividual can be classified by gender as male female by hair color as black blonde brown red unknown and by eye color as black b How many different classifications are possible for example male with black hair and brown eyes re are 20 different classifications Construct a tree diagram to determine the sample space tree for gender has 2 branches m each branch of the tree for gender the tree for hair color has 5 branches m each branch of the tree for hair color the tree for eye color has 2 branches feach outcome is equally likely find the probability that the individual will be a female with red hair and black eyes size of the sample space is
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Functionsat contains 4 marbles one orange one yellow one red and one blue Two marbles are selected at random without replacement from the hat Complete parts a through etermine the number of sample points in the sample space re are 12 sample points in the sample space Construct a tree diagram and list the sample space struct a tree diagram Choose the correct answer below Click here to view diagram c Click here to view diagram d Click here to view diagram b GIED
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Basic Matha How many different classifications are possible for example male with black hair and brown eyes There are 20 different classifications b Construct a tree diagram to determine the sample space The tree for gender has branches From each branch of the tree for gender the tree for hair color has From each branch of the tree for hair color the tree for eye color has branches branches
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Basic MathK US by Gender and Age How wide is the chasm between what men and women earn in the workplace According to Average Yearly Earnings in the a 2015 analysis from a national women s group women lose 435 049 over the course of a career because of the pay gap The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 54 This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right Complete parts a through c below 70 60 www Average Yearly Earnings 1000s 304 20 10 Men Women 22 Age 70 3068 60 50 026 40 30 20 10 0 Average Yearly Earnings 1000s 0 022 Man FRA Warnen 10 20 30 40 50 Years after Age 22 Q Q a Use the two points for men shown on the graph to find a function in the form M x mx b that models average yearly earnings for men x years after age 22 M x Use integers or decimals for any numbers in the expression Round to two decimal places as needed b Use the two points for women shown on the graph to find a function in the form W x mx b that models average yearly earnings for women x years after age 22
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Basic MathA box contains three cards On one card there is a sun S on another card there is a question mark Q and on the third card there is a moon M Two cards are to be selected at random with replacement Complete parts a through e below a Determine the number of sample points in the sample space There are 9 points in the sample space b Construct a tree diagram Choose the correct answer below A 8 List the sample space Choose the correct answer below OA SS SQ SM QS QQ QM MS MQ MM OB SS SQ SM MS MQ MM OC SQ QM MS OD SQ SM QS QM MS MO Oc
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Basic Mathwo states are selected at random from a group of 50 states determine the number of possible outcomes if the group of states are selected with replacement or without replacer the states are selected with replacement there are 2500 possible outcomes the states are selected without replacement there are possible outcomes CULD
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Basic Matha Determine the number of points in the sample space b Construct a tree diagram and determine the sample space c Determine the probability that a double a 1 1 or 2 2 etc is rolled d Determine the probability that a sum of 3 is rolled e Determine the probability that a sum of 4 is rolled f Are you as likely to roll a sum of 3 as you are of rolling a sum of 4 a There are points in the sample space
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Basic Mathreplacement Complete parts a through e below a Determine the number of sample points in the sample space There are 9 points in the sample space b Construct a tree diagram Choose the correct answer below OB on the third card there M O D
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Basic Matho coins are tossed Assume that each event is equally likely to occur Use the counting principle to determine the number of sample points in the sample Construct a tree diagram and list the sample space Determine the probability that no tails are tossed Determine the probability that exactly one tail is tossed Determine the probability that two tails are tossed etermine the probability that at least one tail is tossed There is are sample point s in the sample space
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Basic Mathu decide to take a science course an English course and a mathematics course during the next term The available courses that you in take are listed in the table omplete parts a through e below Determine the number of points in the sample space me number of points in the sample space is GELED Mathem Trigono Composition C Statistic Science Geology G Biology B Physics P Oceanography 0 English Poetry R
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FunctionsIf two states are selected at random from a group of 50 states determine the number of possible outcomes if the group of states are selected with replacement or without replaceme If the states are selected with replacement there are possible outcomes CIFE
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Basic MathA hat contains 4 marbles one orange one yellow one red and one blue Two marbles are selected at random without replacement from the hat Complete parts a thr a Determine the number of sample points in the sample space There are sample points in the sample space
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Basic Mathbag contains seven batteries all of which are the same size and are equally likely to be selected Each battery is a different brand If you select five batteries at random use the cour determine how many points will be in the sample space if the batteries are selected with replacement without replacement With replacement The size of the sample space is sample points GCC
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Functionser to the table which contains infor try If a jar is randomly selected determine the probability that the salsa is not Brand B jar is randomly selected the probability that the salsa is not Brand Bis implify your answer CITE COL B C Total 1405 3272 4 2 12 6589 19
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Basic Mathre are distinct ways the two experiments can be performed together be performed in a castinct ways the two experiments together can be performed in how many CIL
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Basic MathWhat is the direction of V V H 9 4 0 degrees Round to the nearest hundredth Enter
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Basic MathFor IM administration ceftriaxone should be reconstituted with Hydrochloride Injection USP or for Injection USP Injection USP Simple Uno Vied 1 gram Bow Gr Chal DER LA mante Co Layer 14DC 1234 1234 46 Ceftriaxone for Injection USP 1 gram Single Use Vial For intramuscular or intravenous use Each vial contains ceftriaxone sodium powder equivalent to 1 gram Ronly ceftriaxone 1 gram 15 ml Vial 1 Vial Ceftriaxone for Injection USP 1 gram Directions For Use For LM Adroinistration Recansete with 2 1 od 1 Lidocoing Hydrochloride Injection USP or Starile Water for Injection USP Each 1 ml of schoon contare approximately 350 mg equivalent cf celtnasone as ceftriaxone todum For LV Adrzinistration Reconstitute with 96 ad of an LK duent specified in the accompanying padago insert Loch 1 ml of solution contain approximately 100 mg equivalent of ceftrianone as ceftriaxone sodium Withdraw entire contents and alute to the desbed concentration with the appropriate LX divent Usual corage For dosage recorerenditions and other important presorbing information read accompanying insan Storage Prior to Reconstitution Store 31 23 25 C 25 77 F Isa USP Controled Room Temperaturel Protect from Light Storage After Reconstitution See package insert Total Care Pharmaceuticals 24 bwhere Street Anytown USA 12345 6780 1234 1234 56 0
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Basic MathThe maintenance cost of this house each year is set at 4 of the market value of the house According to Mr Tristani this cost goes up by about 3 each year as does the value of the house Calculate the maintenance costs for the first 5 years of the house The increase in the rate of maintenance has been done for you Year of home ownership 1 NO 2 3 4 in Market value of house 400 000 412000 424360 Rate of maintenance 4 0 Maintenance costs 16000 16974 4 17992 86
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Simple & Compound InterestREQUIRED RATE OF RETURN Percent 20 0 16 0 12 0 8 0 4 0 0 0 5 1 0 RISK Beta Return on HC s Stock 1 5 2 0