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Question 1203284: A staff car park at a school has 13 parking spaces in a row.
There are 9 cars to be parked.
a. In how many different arrangements are there for parking the 9 cars and leaving 4 empty spaces?
b. How many different arrangements are there if the 4 empty spaces are next to each other?
c. If the parking is random, find the probability that there will not be 4 empty spaces next to each other.
Click here to see answer by greenestamps(13195)   |
Question 1203284: A staff car park at a school has 13 parking spaces in a row.
There are 9 cars to be parked.
a. In how many different arrangements are there for parking the 9 cars and leaving 4 empty spaces?
b. How many different arrangements are there if the 4 empty spaces are next to each other?
c. If the parking is random, find the probability that there will not be 4 empty spaces next to each other.
Click here to see answer by ikleyn(52750)  |
Question 1203289: A container contains two red, three yellow, and four cards. Two cards are selected at random, one after the other without replacement, from the container. Calculate the probability that the first card is red and the second card is green.
Click here to see answer by ikleyn(52750) |
Question 1203288: A container contains 10 electronic components. 4 of the electronic components are defective. 2 components are selected from the container without replacement. Calculate the probability that they are both non-defective.
Click here to see answer by ikleyn(52750) |
Question 1203292: A container contains two red, three yellow, and four green cards. Two cards are selected at random, one after the other and without replacement, from the container. Calculate the probability that the first card will be red and the second card is green.
Click here to see answer by ikleyn(52750) |
Question 1203291: a container contains 10 electronic components. 4 of the components are defective. 2 components are selected from the container without replacement. Calculate the probability that they are both non-defective.
Click here to see answer by ikleyn(52750) |
Question 1203283: The letters of the word MATHEMATICS are written, one on each of 11 separate cards. The cards are laid out in a line.
a. Calculate the number of different arrangements of these letters.
b. Determine the probability that the vowels are placed together.
Click here to see answer by ikleyn(52750) |
Question 1203283: The letters of the word MATHEMATICS are written, one on each of 11 separate cards. The cards are laid out in a line.
a. Calculate the number of different arrangements of these letters.
b. Determine the probability that the vowels are placed together.
Click here to see answer by Edwin McCravy(20054)  |
Question 1203287: A container consists of twenty used electronic components of which five are defective. Eight components are randomly taken from the container with replacement. Determine the probability that at most two are defective.
Click here to see answer by ikleyn(52750) |
Question 1203299: Consider a box containing 3 faulty and 2 good fuses. Two fuses are chosen at random from the box. What is the probability of choosing:
a) No faulty fuse
b) 1 faulty fuse
c) 2 faulty fuses
Hence, draw the probability distribution table for event X, the number of faulty fuses obtained.
Click here to see answer by Theo(13342)  |
Question 1203301: A game consists of throwing tennis ball into a bucket from a given distance. The probability that Bob will get the tennis ball in the bucket is 0.4 . A turn consists of three attempts. Construct a PDT of X, the number of tennis balls that land in the bucket in a turn.
Click here to see answer by greenestamps(13195) |
Question 1203300: Two red balls and two white balls are placed in a bag. Balls are drawn one by one at random and without replacement. The random variable X is the number of white balls drawn before the first red ball is drawn. Show that P(X = 1)= 1/3 and find the rest of the
probability distribution of X.
Click here to see answer by greenestamps(13195) |
Question 1203315: The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 35% pure fruit juice?
Click here to see answer by math_tutor2020(3816) |
Question 1203315: The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 35% pure fruit juice?
Click here to see answer by ikleyn(52750) |
Question 1203315: The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 35% pure fruit juice?
Click here to see answer by josgarithmetic(39613) |
Question 1203315: The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 35% pure fruit juice?
Click here to see answer by greenestamps(13195) |
Question 1203338: Topic : Discrete Random Variable (Geometric Distribution)
Repeated independent trials are carried out in which the probability of success in each trial is
0.66 . Correct to 3 significant figures, find the probability that the first success occurs:
(a) On the third trial
(b) On or before the second trial
(c) After the third trial
Click here to see answer by ikleyn(52750) |
Question 1203340: Topic : Discrete Random Variable (Geometric Distribution)
A coin is biased such that the probability of obtaining heads with each toss is equal to 5/11.
The coin is tossed until the first head is obtained. Find the probability that the coin is tossed:
(a) At least six times
(b) Fewer than eight times
Click here to see answer by ikleyn(52750) |
Question 1203339: Topic : Discrete Random Variable (Geometric Distribution)
In a particular country, 18% of adults wear contact lenses. Adults are randomly selected and interviewed once at a time. Find the probability that the first adult who wears contact lenses is:
(a) One of the first 15 interviewed
(b) Not one of the first nine interviewed
Click here to see answer by ikleyn(52750) |
Question 1203341: Topic : Discrete Random Variable (Geometric Distribution)
One in four boxes of Zingo breakfast cereal contains a free toy. Let the random variable X be the number of boxes that a child opens, up to and including the one in which they find out their first toy.
a) Find the mode and the expectation of X
b) Interpret the two values found in part (a) in the context of this question
Click here to see answer by ikleyn(52750) |
Question 1203441: Which of the ff are associative binary operations? Show your solutions?
i. (ℤ,*), where x*y=(x+y)-(x·y) for all x,y,∈ℤ.
ii. (ℝ,*), where x*y=max (x,y) for all x,y,∈ℝ.
iii. (ℝ,*), where x*y= |x+y| for all x,y,∈ℝ.
Click here to see answer by math_tutor2020(3816) |
Question 1203441: Which of the ff are associative binary operations? Show your solutions?
i. (ℤ,*), where x*y=(x+y)-(x·y) for all x,y,∈ℤ.
ii. (ℝ,*), where x*y=max (x,y) for all x,y,∈ℝ.
iii. (ℝ,*), where x*y= |x+y| for all x,y,∈ℝ.
Click here to see answer by ikleyn(52750) |
Question 1203457: A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a 3.
Click here to see answer by ikleyn(52750) |
Question 1203461: 2. Convert the words "twice the sum of X and 5" into an algebraic expression.
3. Express "five less than twice x " in algebraic form.
4. Translate "the product of 7 and m" into algebra.
5. Convert "y increased by 10" into an algebraic expression.
6. Write the algebraic expression for "one-third of y."
7. Express "four more than x squared" algebraically.
8. Translate "the difference between a x and 8" into algebraic notation.
9. Convert "twice the difference of x and 3" into an algebraic expression.
10. Write the algebraic expression for "the sum of x and twice x."
11. Express "ten times the square of x" algebraically.
12. Translate "the quotient of two more than x and 6" into an algebraic expression
13. Convert "the square of the sum of two more than x and y " into an algebraic expression.
14. Express "three less than the product of x and y " algebraically.
15. Translate "the sum of twice y and 7" into algebraic notation.
Click here to see answer by MathLover1(20849)  |
Question 1203550: In a recent survey, a statistician reported the following data.
13 persons liked brand A.
20 persons liked brand B.
13 persons liked brand C.
9 persons liked brands A and B.
4 persons liked brands A and C.
8 persons liked brands B and C.
2 persons liked all three brands.
3 persons liked none of the three brands.
A truthful statistician was asked to find out how many people were interviewed. What was this statistician's answer?
Click here to see answer by ikleyn(52750) |
Question 1203550: In a recent survey, a statistician reported the following data.
13 persons liked brand A.
20 persons liked brand B.
13 persons liked brand C.
9 persons liked brands A and B.
4 persons liked brands A and C.
8 persons liked brands B and C.
2 persons liked all three brands.
3 persons liked none of the three brands.
A truthful statistician was asked to find out how many people were interviewed. What was this statistician's answer?
Click here to see answer by greenestamps(13195) |
Question 1203555: Translate the following verbal phrases into mathematical phrases
1. Twice the quotient of 4 times a number and 8
2. Fourteen plus the product of 3 less than a number and 10
3. A number plus the product of 7 and the difference of the number and 5
4. Three less than the sum of a number and 10
5. The square of z
6. The cube of m
Click here to see answer by math_tutor2020(3816) |
Question 1203556: Translate the following verbal phrases into mathematical phrases
1. A number divided by 9
2. Fourteen plus the product of 3 less than a number and 10
3. 4 less than 7 times the square of a number
4. Twice the quotient of 4 times a number and 8
5. The quotient of 7 more than twice a number and the number
6. The difference between 60 and the quotient of number and 2
Click here to see answer by MathLover1(20849) |
Question 1203557: Translate the following verbal phrases into mathematical phrases
1. Twice the quotient of 4 times a number and 8
2. Fourteen plus the product of 3 less than a number and 10
3. A number plus the product of 7 and the difference of the number and 5
4. Three less than the sum of a number and 10
5. The square of z
6. The cube of m
Click here to see answer by MathLover1(20849) |
Question 1203561: Translate the following verbal phrases into mathematical phrases
1. Fourteen plus the product of 3 less than a number and 10
2. 4 less than 7 times the square of a number
3. X increased by the quotient of 7 and h
4. The product of six and three less than a number
5. One half of some number
6. The difference of 23 and p
7. X is increased by y
8. 15 less than 20
9. Fourteen is less than 2x
10. R decreased by 8
Click here to see answer by MathLover1(20849) |
Question 1203563: Translate the following verbal phrases into mathematical phrases
1. 2 more than twice a number
2. X subtracted from 12
3. 12 less than x
4. A number m plus six times n
5. The sum of x and 2
6. x increased by 5
7. x more than f
8. Four subtracted from a number
9. The sum of (x- y)and 5
10. The sum of 2x and y
11. Six added to m
12. Five less than twice a number
Click here to see answer by MathLover1(20849) |
Question 1203562: Translate the following verbal phrases into mathematical phrases
1. 5 subtracted from y
2. 15 less than x
3. 18 fewer than half a number
4. 10 subtracted from 15
5. Nine times a number decreased by four
6. 12 less than x
7. x subtracted from 12
8. Three less than 5 times a number
9. Four is subtracted from m
10. Six less than m
11. Eight more than one half of d
12. Four is added to d
13. The sun of twice the number 10 and 13
14. 2m added to 5
15. 16 added to m
Click here to see answer by MathLover1(20849) |
Question 1203566: Translate the following verbal phrases into mathematical phrases
2. T increased by r
3. The sum of a and 8
4. Twice the sum of a number and eight
5. Twice x more than y
6. The sum of twice the number 10 and 13
7. The difference of 8 and 5 times x
Click here to see answer by josgarithmetic(39613) |
Question 1203565: Translate the following verbal phrases into mathematical phrases
1. The difference of 8 and 5 times x
2. T increased by r
3. The sum of a and 8
4. Twice the sum of a number and eight
5. Twice x more than y
6. The sum of twice the number 10 and 13
Click here to see answer by josgarithmetic(39613) |
Question 1203754: A gym charges $5/ hour for the firs four hours of use in a week, and a total flat rate of $20 after that. a) how much would you send going to the gym for 3 hours in a week? 5 hours in a week? b)write a piecewise function that models the total cost of the gym in a week according to the number of hours spent there. c) is the function continuous or discontinuous? Explain
Click here to see answer by Theo(13342) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650
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