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Question 971377: Find all solutions of each equation on the interval(0, 2pi)
Sec^2 x + 2tan x = 0
Click here to see answer by ikleyn(53853)

Question 1162355: A large bakery regularly orders cartons of blueberries. Random sample of 50 cartons from each
supplier were weighted. The weights in grams of the cartons were shown in following frequency
distribution.
-------------Supplier A ---------------------Supplier B-----------
Weight of cartons ---Frequency ----Weight of cartons ----Frequency
...501 - 550 ............5 .................501 - 550 .............2
...551 - 600 ...........10................. 551 - 600 .............8
...601 - 650 ...........20 .................601 - 650 ............12
...651 - 700 ...........12 .................651 - 700 ............20
...701 - 750 ............3 .................701 - 750 .............8
a) State the variable of interest. Indicate whether the variable is quantitative discrete,
quantitative continuous or qualitative. (3 marks)
b) Construct suitable graph to represent the above frequency distribution of the weight of
cartons for supplier A and supplier B, respectively. The weight of cartons from which
supplier weight more? Justify. (12 marks)
c) Refer to the graph in (b), suggest the best measure of central tendency and a measure of
dispersion that is suitable to represent the set of data. Justify your answers. (4 marks)
d) Compute all the measures of central tendency and standard deviation for the weight of
cartons from supplier A and interpret the values. (18 marks)
e) Draw ogive and compute the quartile deviation for weight of cartons from supplier B.
(10 marks)
f) The bakery uses one carton of blueberries in each blueberry muffin recipe. It is important
that the cartons be of consistent weight so that the muffins turn out right. Which supplier
should the bakery choose? Explain why. (3 marks)
Click here to see answer by CPhill(2264)

Question 1162460: A quality-control procedure for testing digital cameras consists of drawing two cameras at random from each lot of 100 without replacing the first camera before drawing the second. If both are defective, the entire lot is rejected. If the lot contains 10 defective cameras, assume that each camera in the lot has an equal chance of being drawn.
1. Are these events dependent or independent? Justify your answer.
2. Use the appropriate multiplication rule to obtain the probability that the entire lot being rejected.
3.If one of the cameras drawn is defective, then another two cameras will be drawn from the second lot.
Find the probability that the two cameras will be drawn from second lot of 100 cameras.
can show the solution teach me how to calculate? thanks.
Click here to see answer by CPhill(2264)

Question 558195: 2x=√(1-3x)
Click here to see answer by MathTherapy(10837)

Question 271147: A BOX MEASURES 40CM*50CM*45CM .FIND THE AREA OF THE CARD BOARD REQUIRED TO MAKE 350BOXES
Click here to see answer by josgarithmetic(39819)

Question 271147: A BOX MEASURES 40CM*50CM*45CM .FIND THE AREA OF THE CARD BOARD REQUIRED TO MAKE 350BOXES
Click here to see answer by ikleyn(53853)

Question 1032795: Julie wants to build a sidewalk of uniform width around her garden. Her garden is rectangular, and its dimensions are 20 feet by 30 feet. She has enough pavers to cover 900 square feet and wants to use all the pavers. Complete the following statement. Round to the nearest tenth. Julie should make the width of the sidewalk _ _ _ _ _ feet.
Click here to see answer by timofer(159)

Question 494362: It takes 4 men 14 days to do a certain job. How long should it take 7 men working at the same rate to do the same job?
Click here to see answer by ikleyn(53853)

Question 494362: It takes 4 men 14 days to do a certain job. How long should it take 7 men working at the same rate to do the same job?
Click here to see answer by josgarithmetic(39819)

Question 494362: It takes 4 men 14 days to do a certain job. How long should it take 7 men working at the same rate to do the same job?
Click here to see answer by MathTherapy(10837)

Question 1155046: It's a question on indices
Solve for x and y in:
1)3^x-2y*5^y+x
Click here to see answer by ikleyn(53853)

Question 1176752: Using k as the constant of variation, write the equation of variation for each following.
1. The current l varies directly as the electromotive force E and inversely as as the resistance R.
2. The acceleration a of an object varies directly as the force f exerted and inversely as it's mass m.
3. The stiffness s of a beam varies directly as it's depth d and inversely as the square of the length l.
4. The time t required for an elevator to lift a weight varies directly with the distance d through which it is to be lifted and inversely with the power p of the motor.
5. The force f of attraction between two bodies varies directly as the product of their weights w and inversely as the square of the distance d between them.
6. The electrical resistance R of wire varies directly as it's length l and inversely as the square of its diameter d.
7. The acceleration A of a moving objects varies directly as the distance d inversely as the square of the time t.
Click here to see answer by n2(83)

Question 1210577: Find the derivative of y=x using the first principle of differenciation
2) y=2x²—x
Click here to see answer by KMST(5362)

Question 1183412: A sector with an angle 110 degrees at the center of a circle is cut away from a circular piece of paper of radius 70cm. The remaining part is folded to form a cone. Find 1. the vertical angle of the cone 2. The angle of the sector.

Click here to see answer by n3(7)

Question 1210545: Gorimapa Nigeria plc has just received an order for it's bathroom cabinet which is made up of two kinds that is standard and deluxe. The order is for at least 200 bathroom cabinets of either varieties and including at least 60 of the deluxe kind. The standard model takes 4 hours of the assembling time and has a valuable cost of #4000 whereas the deluxe model takes 5 hours of assembling time and has a valuable cost of #6000 . There are 400 hours available for assembling time. The equipment can be used to assemble either kind of cabinet in any combination. The company's manager engages you as an expert and wishes to minimize the company's cost of this special order. You are required as an expert to formulate this problem in a linear programming form and using the graphical method advise the manager on the best product that will enable his firm to minimize it's cost
Click here to see answer by n2(83)

Question 1210537: The curve surface area of a cylinder is 1.5 times the total surface area of a cone. If the diameter of the cylinder and cone are equal to 10cm and the vertical height of the cone is 12cm. Calculate the height of the cylinder
Click here to see answer by ikleyn(53853)

Question 1210538: Find the values of x in the range 0°≤x≤360°, which satisfy the equation below
i) sin3xsinx = 2cos2x + 1
ii) 3cotx + tanx - 4 = 0

Click here to see answer by ikleyn(53853)

Question 1210538: Find the values of x in the range 0°≤x≤360°, which satisfy the equation below
i) sin3xsinx = 2cos2x + 1
ii) 3cotx + tanx - 4 = 0

Click here to see answer by CPhill(2264)

Question 1205029: A heavy cube of side 8cm is placed vertically in a cylindrical tank of radius 7cm which contains water.
Calculate the rise in the water level if the original depth of water was:
a) 10 cm
b) 2 cm
Click here to see answer by n2(83)

Question 426442: Solve log base 6 of x + log base 6 of (x+16)=2
Click here to see answer by MathTherapy(10837)

Question 1206821: The minute-hand of a clock is 6 cm long. How far does the end of the hand travel in 35 minutes?
Click here to see answer by ikleyn(53853)

Question 1188445: Simplify

Click here to see answer by MathTherapy(10837)

Question 446383: If Jill fills a pool with water in 30 min, jack fills a pool with water in 45 min and John fills a pool with water in 1 hour and 30 min. How long will it take if they work together.
Click here to see answer by math_tutor2020(3837)

Question 437259: Solve. A boat moves 5 kilometers upstream in the same amount of time it moves 17 kilometers downstream. If the rate of the current is 8 kilometers per hour, find the rate of the boat in still water.
A. 7 1/12 kilometers per hour
B. 3 1/3 kilometers per hour
C. 8 kilometers per hour
D. 14 2/3 kilometers per hour
Click here to see answer by ikleyn(53853)

Question 437121: 15. sue can shovel snow from her driveway in 30mins. jim can do the same job in 35mins. how long would i ttake sue and ime to shovel teh driveway if they worked together?
16.simplify by removing factors of 1 (7y-14)/2-y
Click here to see answer by josgarithmetic(39819)

Question 427596: when I open a book two page face me. the sum of the page number is 85. what are the page number ? if the sum is not give, but the product is gives to be 1806, how will your find the page number
Click here to see answer by ikleyn(53853)

Question 428529: find the distance between the points (12,8) and (4,2)
1. 100 units
2. 14 units
3. 10 units
4. -10 units
Find the midpoint of the points (3,1) and (7,-5)
1. (1,6)
2. (2,1)
3. (2,-3)
4. (5, -2)

Click here to see answer by ikleyn(53853)

Question 729458: A student scored 70 points on a test that had 4 seven- point fill in the blank questions and 24 three point multiple choice questions. If the student answered 1 fill in the blank question , how many multiple choice question did the student answer correctly?
Click here to see answer by ikleyn(53853)

Question 1165403: Dunder Mifflin supplies paper to corporate clients. An important client needs 1500 reams of paper.
Dunder Mifflin can procure the paper from several suppliers. The characteristics of the suppliers
are as follows:
Cost per ream Delivery time Reams available
Supplier A 3.50 5 days 200
Supplier B 2.00 10 days 600
Supplier C 6.50 15 days 600
Supplier D 5.00 4 days 200
Supplier E 4.00 6 days 200
When procuring the paper, Dunder Mifflin needs to ensure the following conditions are satisfied:
(a) The client requires that at least 500 of the 1500 reams be delivered within the next 7 days.
(b) In order to maintain good relations with Supplier C, Dunder Mifflin must order at least 100
reams from them.
(c) Because of a rivalry between supplier B and D, Dunder Mifflin must order at least as many
reams from supplier D as they do from supplier B.
(d) Each supplier has a limited number of reams of paper available, as shown in the table.
Formulate a linear optimization model to help Dunder Mifflin procure the paper at the lowest cost.
(You don’t need to find the optimal solution to the model you formulate.)
Click here to see answer by CPhill(2264)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by greenestamps(13351)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by math_tutor2020(3837)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by ikleyn(53853)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by MathLover1(20855)

Question 1210503: if Tom gives maria 30 cents, they will have equal amounts of money. But if Maria then gives Tom 50 cents, he will how have twice as much money as she does. how much does each have now?
Click here to see answer by ikleyn(53853)

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, 25651..25695, 25696..25740