Questions on test answered by real tutors!

Tutors Answer Your Questions about test (FREE)

Question 1209570: 3^a + 9^a + 27^a = 39
find a
Click here to see answer by MathTherapy(10549)

Question 1184601: Show that R∗=R∖{0} is a group under the operation of multiplication.

Click here to see answer by ikleyn(52747)

Question 1184159: What is the smallest positive divisor greater than 1 of a composite number X from the following:
(i) <
(ii) =
(iii) >
(iv) <=
Click here to see answer by ikleyn(52747)

Question 1185496: Assume this year's flu vaccine has a 75% chance of being effective. If the vaccine is given to 338 randomly selected people, answer the following.
a) Which is the correct wording for the random variable?
b) Pick the correct symbol: n = 338
c) Pick the correct symbol: p = 0.75
d) What is the probability that exactly 252 of them did not get the flu?
Round final answer to 4 decimal places= 0.0489
e) What is the probability that less than 252 of them did not get the flu?
Round final answer to 4 decimal places= 0.3971
f) What is the probability that more than 252 of them did not get the flu?
Round final answer to 4 decimal places= ?
g) What is the probability that exactly 257 of them did not get the flu?
Round final answer to 4 decimal places= ?
h) What is the probability that at least 257 of them did not get the flu?
Round final answer to 4 decimal places= 0.3565
i) What is the probability that at most 257 of them did not get the flu
Round final answer to 4 decimal places= 0.6895
Click here to see answer by ikleyn(52747)

Question 1185677: Find the Fourier sine and cosine series of: f(x) = x at 0<= x <= 1 , -1 at 1 < x <= 2, 2 at 2< x <= pi. ( piecewise function)
Click here to see answer by CPhill(1959)

Question 1185357: 1.At a certain point P in an electric field, the magnitude of the electric field is 12 N/C. Calculate the magnitude of the electric force that would be exerted on a point charge of 2.5 x 10-7 C, located at P.
2.An electron leaves the negative terminal of a cathode ray tube and travels towards the positive plate starting from rest. The electric potential difference between the plates is 2x104 Volts. [mass of electron = 9.11x10-31 kg and the charge on an electron is 1.6x10-19 C]
(a)Draw a diagram.
(b)Calculate the electron’s kinetic energy when it reaches the positive plate.
(c)Calculate the electron’s velocity when it reaches the positive plate.
3.When a proton is moved against an electric field by an unbalanced force, what happens to the change in electric potential energy? Is it positive or negative? Explain using a diagram and the concept of work.
4.An electron is travelling horizontally at a speed of 1.5x106 m/s through two horizontal plates. It starts at the negative plate at the top. The plates are 10cm long and the electric field strength between the plates is 100N/C. Calculate the final velocity of the electron as it leaves the plates.

Click here to see answer by CPhill(1959)

Question 1184158: If in a regular graph of 15 vertices the sum of the degree of vertices is 60 then what is the degree of each vertex?
Click here to see answer by MathLover1(20849)

Question 1184146: A business office orders paper supplies from one of three vendors, V1,
V2, or V3. Orders are to be placed on two successive days, one order
per day. Thus, (V2,V3) might denote that vendor V2 gets the order on
the first day and vendor V3 gets the order on the second day.
a. List the sample points in this experiment of ordering paper on two
successive days.
b. Assume the vendors are selected at random each day and assign a
probability to each sample point.
c. Let A denote the event that the same vendor gets both orders and B
the event that V2 gets at least one order. Find P(A), P(B), P(A∪ B)and
P(A∩ B)by summing the probabilities of the sample points in these
events
Click here to see answer by CPhill(1959)

Question 1184145: The table below shows the number of mangoes and cashew of the
same size in a bag. If two of the fruits are picked at random, one at a
time without replacement, find the probability that:
a. Both are good fruits b. Both are bad fruits
c. One is a good cashew and the other bad mango.
Mangoes Cashews Total
Good 10 6 18
Bad 6 8 12
Total 16 14 30
Click here to see answer by CPhill(1959)

Question 1183708: 9) Certain superstores will often price match or even beat a competitor’s
price by 10%. The function g(x)=0.90x represents the sale price of a piece of merchandise at such a superstore. The function f (x)= 0.13x represents the HST
owed on a purchase with a selling price of x dollars.
a. Write a function that represents the HST owed on an item with a price tag
of x dollars after it has been beaten by 10%.
b. How much HST would be charged on a $39.99 purchase if this price is
also lowered by 10% first?
Click here to see answer by CPhill(1959)

Question 1209709: If log₁₆7×log₄₉8 = x
log₈5×log₂₅2 = y
log₆₄9×log₇₂₉4 = z
find 48xy√z
Click here to see answer by greenestamps(13195)

Question 1209712: If (x√x)^(1/x) = 2,
find x.
Click here to see answer by CPhill(1959)

Question 1209712: If (x√x)^(1/x) = 2,
find x.
Click here to see answer by ikleyn(52747)

Question 1209711: [x-(1/x)]^(1/x) + [1-(1/x)] ^(1/x) = x
Click here to see answer by CPhill(1959)

Question 1209711: [x-(1/x)]^(1/x) + [1-(1/x)] ^(1/x) = x
Click here to see answer by ikleyn(52747)

Question 1209710: 4^(1/√x) + 16^(1/√x) = 64^(1/√x)
find x,
Click here to see answer by CPhill(1959)

Question 1209710: 4^(1/√x) + 16^(1/√x) = 64^(1/√x)
find x,
Click here to see answer by ikleyn(52747)

Question 1209710: 4^(1/√x) + 16^(1/√x) = 64^(1/√x)
find x,
Click here to see answer by greenestamps(13195)

Question 1181961: 1. A financial advisor at Diehl Investments identified two companies that are likely candidates for a takeover in the near future. Eastern Cable is a leading manufacturer of flexible cable systems used in the construction industry, and ComSwitch is a new firm specializing in digital switching systems. Eastern Cable is currently trading for $40 per share, and ComSwitch is currently trading for $25 per share. If the takeovers occur, the financial advisor estimates that the price of Eastern Cable will go to $55 per share and ComSwitch will go to $43 per share. At this point in time, the financial advisor has identified ComSwitch as the higher-risk alternative. Assume that a client indicated a willingness to invest a maximum of $50,000 in the two companies. The client wants to invest at least $15,000 in Eastern Cable and at least $10,000 in ComSwitch. Because of the higher risk associated with ComSwitch, the financial advisor has recommended that at most $25,000 should be invested in ComSwitch.
A. . Formulate a linear programming model that can be used to determine the number of shares of Eastern Cable and the number of shares of ComSwitch that will meet the investment constraints and maximize the total return for the investment
B. Solve the problem using simplex method

Click here to see answer by CPhill(1959)

Question 1209719: If x³ + x⁻³ = 18
then x⁷ + x¹³ + x⁻⁷ + x⁻¹³ = ?
Click here to see answer by CPhill(1959)

Question 1209725: [x-(1/x)]^(1/2) + [1-(1/x)]^(1/2) = x
Click here to see answer by ikleyn(52747)

Question 1209736: 2x+5y
Click here to see answer by ikleyn(52747)

Question 1209741: If 1/9^(1/x) + 1/3^(1/x) = 30,
find x.
Click here to see answer by CPhill(1959)

Question 1209741: If 1/9^(1/x) + 1/3^(1/x) = 30,
find x.
Click here to see answer by ikleyn(52747)

Question 1209741: If 1/9^(1/x) + 1/3^(1/x) = 30,
find x.
Click here to see answer by mccravyedwin(405)

Question 1209743: If 2^x + 2^y = 6
and x + y = 2,
find 4^x + 4^y.
Click here to see answer by CPhill(1959)

Question 1180230: Q-3: [5+5+5+5 Marks] The classification of faculty at a college is indicated in the following table:

Male Female Total
Professor 12 3 15
Associate professor 15 9 24
Assistant professor 18 8 26
Instructor 20 15 35
Total 65 35 100

a) If a committee of three faculty members is selected at random what is the probability that:
i) All females.
ii) A professor and two associate professors.
b) If a faculty member is selected at random from this college, find the probability that:
i) The faculty is male, given that the faculty is instructor.
ii) The faculty is not professor given that the faculty is female.

Click here to see answer by CPhill(1959)

Question 1209754: If 8cosθ - 8sinθ = 3,
find 55tanθ + 55/tanθ
Click here to see answer by ikleyn(52747)

Question 1209755: If x = [(a + √(a² - 1)]^(2mn/(m-n)),
Then [x^(1/m) + x^(1/n)]²/[x^[(1/m)+(1/n)]] = 1444,
find a.
Click here to see answer by CPhill(1959)

Question 1209759: Find the sum of solutions x ∈ R of the equation
[(3cos2x + cos³2x)/(cos⁶x - sin⁶x)] = x³ - x² + 6
Click here to see answer by CPhill(1959)

Question 1209762: Let Vₙ = αⁿ + βⁿ where α, β are the roots of the equation x² + x - 1 = 0, then find V₇.
Click here to see answer by CPhill(1959)

Question 1179347: 3.56 3.25 3.5 4.05
3.12 3.28 3.13 3.46
3.21 3.64 3.46 2.34
3.52 3.07 3.25 3.63
3.08 3.9 3.25 4.1
2.84 2.79 3.17 2.34
3.69 3.11 3.39 2.89

The goal is to construct a grouped frequency distribution table (GFDT) for this data set. The GFDT should have 10 classes with a "nice" class width. Each class should contain its lower class limit, and the lower class limits should all be multiples of the class width. This problem is to determine what the class width should be.
What is the range of this data set?
Using this value, if the goal is to have 10 classes, what is the nicest class width?

Click here to see answer by CPhill(1959)

Question 1179344: A particular fruit's weights are normally distributed, with a mean of 287 grams and a standard deviation of 19 grams.
If you pick one fruit at random, what is the probability that it will weigh between 251 grams and 346 grams
Click here to see answer by CPhill(1959)

Question 1209769: The complete question
If a = sin50(1 + 2cos170°),
b = sin170°(1 + 2cos140°),
c = sin140°(1 + 2cos50°),
A = a + b + c,
then (3 - 2A)ˣ = (x + 1)²,
find x
Click here to see answer by CPhill(1959)

Question 1209768: If a = sin50(1 + 2cos170°),
b = sin170°(1 + 2cos140°),
c = sin140°(1 + 2cos50°),
then (3 - 2A)ˣ = (x + 1)²,
find x
Click here to see answer by CPhill(1959)

Question 1209768: If a = sin50(1 + 2cos170°),
b = sin170°(1 + 2cos140°),
c = sin140°(1 + 2cos50°),
then (3 - 2A)ˣ = (x + 1)²,
find x
Click here to see answer by ikleyn(52747)

Question 1209767: If X^log₄Y + Y^log₄X = 4
and log₄X - log₄Y = 1,
find X and Y.
Click here to see answer by CPhill(1959)

Question 1178718: Nina’s father said, if in one grading period her grade in Probability and Statistics is 90 and above, he will add Php 50 to her daily allowance, Php 20 if her grade is 80-89, but decrease it by Php10 if her grade is 79 and below. If the probability to get 90 and above is 12%, while she have 45% chance to get 80-89, what is her expected additional allowance for the next quarter?
thank po in advance
Click here to see answer by CPhill(1959)

Question 1178384: the total cost to produce 10 units of a certain product is $40,and for 20 units the cost is $70.the total cost is linearly related to number of units produces. find the total cost of producing 25 units.
Click here to see answer by josgarithmetic(39613)

Question 1178458: 1. In a LPP, if the primal has 3 variables, then the dual too will always have 3 variables.
Select one:
True
False
2. In the standard form of a linear programming problem, the objective function can be both maximisation or minimisation type.
Select one:
True
False
Click here to see answer by CPhill(1959)

Question 1178193: A Basic Industries Corporation started a program which encourages its employees to exercise during the lunch hour to maintain good health. The reason for this intuitive is to reduce the number of absentees due to health issues. To evaluate the program, Dr. Mohammad randomly selected 8 participants and examined number of missing days before and after the program started for each participant. Use the following statistics to answer the following two questions
Di=14 (Di-D)=59.4804 n=8
Can Dr. Mohammad conclude that the number of missing days has declined?
In terms of the random variable of number of missing days, , the null and the alternative hypotheses are
H0:μD=0 & H1:μD≠0
H0:μD<0 & H1:μD≥0
H0:μD<0 & H1:μD≥0
H0:μD≤0 & H1:μD>0
Click here to see answer by CPhill(1959)

Question 1178032: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute.
Click here to see answer by CPhill(1959)

Question 1209790: If x^x = 5,
find x^x^(x+1)
Click here to see answer by CPhill(1959)

Question 1209787: If 5^x = 7^y = 1225
find xy/(x + y)

Click here to see answer by CPhill(1959)

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