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Question 1200245: You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number greater than 1 the second time.
Click here to see answer by ikleyn(52775)

Question 1200244: Suppose you roll a special 26-sided die. What is the probability that the number rolled is a "1" OR a "2"?
Click here to see answer by ikleyn(52775)

Question 1200243: A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 to 4. A marble is drawn at random from the jar. Find the probability that the marble is blue or odd-numbered.
Click here to see answer by ikleyn(52775)

Question 1200137: A twin engine turbo prop aircraft is flying at an air speed of 300 mph. If there is a wind blowing toward the East at 50 mph, what would be the aircraft's compass reading in order for its course to be 30 deg?
Click here to see answer by Alan3354(69443)

Question 1200274: Given that f : x —> 2x^2 + 8x - 10 for the domain x ≥ k.
i) find the least value of k for which f is one-one.
ii) express f^-1(x) in terms of x in this case.
Click here to see answer by Solver92311(821)

Question 1200446: A train accelerates steadilv from 4.0 ms^-1 to 20 ms^-1 in 100 seconds.
a. Calculate the acceleration of the train.
b. From its initial and final velocities, calculate the average velocity of the train.
c. Calculate the distance travelled by the train in this time of 100 seconds.
Click here to see answer by math_tutor2020(3816)

Question 1200445: A car is initially stationary. It has a constant acceleration of 2.0 ms^-2.
a. Calculate the velocity of the car after 10 seconds .
b. Calculate the distance travelled by the car at the end of 10 seconds .
c. Calculate the time taken by the car to reach a velocity of 24 ms^-1.
Click here to see answer by ikleyn(52775)

Question 1200471: Q: Find the cube root of the following numbers by using the definition:
(a) 3
(b) 4
(c) 5
(d) 18
Click here to see answer by ikleyn(52775)

Question 1200471: Q: Find the cube root of the following numbers by using the definition:
(a) 3
(b) 4
(c) 5
(d) 18
Click here to see answer by Alan3354(69443)

Question 1200490: The range of a projectile is the horizontal distance it travels before it reaches the ground. The greatest range is achieved if the projectile is thrown at 45° to the horizontal.
A ball is thrown with an initial velocity of 40 ms^-1, Calculate its greatest possible range when air resistance is considered to be negligible.
Click here to see answer by ikleyn(52775)

Question 1200491: A stone is thrown horizontally from the top of a vertical cliff and lands 4.0s later at a distance
12.0m from the base of the cliff. Ignore air resistance.
a) Calculate the horizontal speed of the stone.
b) Calculate the height of the cliff.
Click here to see answer by Alan3354(69443)

Question 1200489: A stone is thrown with a velocity of 8 ms^-1 into the air at an angle of 40° to the horizontal.
(Give your answer to 2 significant figures).
a) Calculate the vertical component of the velocity.
b) State the value of the vertical component of the velocity when the stone reaches its highest point. Ignore air resistance.
c) Use your answers to a and b to calculate the time the stone takes to reach its highest point.
d)Calculate the horizontal component of the velocity.
e)Use your answers to c and d to find the horizontal distance travelled by the stone as it climbs to its highest point.
Click here to see answer by Alan3354(69443)

Question 1200488: A steel ball falls from rest through a height of 2.10 meters . An electronic timer records a time of 0.67 seconds for the fall.
c) Calculate the average acceleration of the ball as it falls.
d) Suggest reasons why the answer is not exactly 9.81 ms^-2
Click here to see answer by ikleyn(52775)

Question 1200504: A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 17956 in3. How big a piece of cardboard is needed?
Your answer is: in. by in.
Click here to see answer by ikleyn(52775)

Question 1200541: The graph of y = x^2 + 5x is translated 2 units to the right. Find the equation of the resulting
graph. Give your answer in the form y = ax^2 + bx + c.
Click here to see answer by Edwin McCravy(20054)

Question 1200539: The function f is defined f(x) = x^2 - 6x + 2 for 0 ≤ x ≤ 3
a) state the range of f
b) state the domain of f^-1 (x)

Click here to see answer by Edwin McCravy(20054)

Question 1200539: The function f is defined f(x) = x^2 - 6x + 2 for 0 ≤ x ≤ 3
a) state the range of f
b) state the domain of f^-1 (x)

Click here to see answer by math_tutor2020(3816)

Question 1200631: Function h is defined by h : x —> x^2 + 4x for x ≥ k and it is given that h has an inverse.
State the smallest possible value of k.
Find an expression for h^-1(x).
Click here to see answer by Edwin McCravy(20054)

Question 1200669: Answer the given problem and show solution.
Find the solvent's volume of 25% ethyl alcohol is in 1L, what's the solute's volume?
Click here to see answer by ikleyn(52775)

Question 1200696: 5. An educational startup that helps MBA aspirants write their essays is targeting individuals who have taken GMAT in 2012 and have expressed interest in applying to FT top 20 b-schools. There are 40000 such individuals with an average GMAT score of 720 and a standard deviation of 120. The scores are distributed between 650 and 790 with a very long and thin tail towards the higher end resulting in substantial skewness. Which of the following is likely to be true for randomly chosen samples of aspirants?
A. The standard deviation of the scores within any sample will be 120.
B. The standard deviation of the mean of across several samples will be 120.
C. The mean score in any sample will be 720.
D. The average of the mean across several samples will be 720.
E. The standard deviation of the mean across several samples will be 0.60

Click here to see answer by Theo(13342)

Question 1200732: Describe how 100 mL of a 0.10 mol/L . NaOH solution would be made.
Click here to see answer by ikleyn(52775)

Question 1200540: f : x —> (2x + 7) / (x-2) for x ∈ R , x ≠ 2
a) find an expression of f^-1 (x)
b) State what your answer to part (a) tells you about the symmetry of the graph of y = f(x).
Click here to see answer by Theo(13342)

Question 1200757: Do have memoriam of Mr Reya
N
Click here to see answer by greenestamps(13198)

Question 1200829: what two numbers when added together equal -2 but when multiplied equal -360?
Click here to see answer by Alan3354(69443)

Question 1200829: what two numbers when added together equal -2 but when multiplied equal -360?
Click here to see answer by ikleyn(52775)

Question 1200803: Find the mole fraction of this given problem: a.An NH3
solution made up of 30.0 g of NH3 in 70.0 g of water.
The density of the solution is 0.982 g/mL.
Click here to see answer by ikleyn(52775)

Question 1200802: Calculate the molarity and the molality of an NH3
solution made up of 30.0 g of NH3 in 70.0 g of water.
The density of the solution is 0.982 g/mL.
Click here to see answer by ikleyn(52775)

Question 1200868: The vertices of triangle ABC are A(11,3), B(2k, k) and C(-1,-11).
(a) Find the two possible values of k if angle ABC is 90°.
(b) Draw the diagrams to show the two possible triangles
Click here to see answer by greenestamps(13198)

Question 1200888: the intensity of the radiation used to treat a tumor varies inversely as the square of the distance from that emits the radiation. if the intensity is 100 milliroentgens per hour at a distance of 2.5 meters, at what distance is the intensity 39.0625 mr/h?
Click here to see answer by josgarithmetic(39616)

Question 1200892: The vapor pressure of ethanol (C2H5OH) at 20°C is
44 mmHg, and the vapor pressure of methanol
(CH3OH) at the same temperature is 94 mmHg. A
mixture of 30.0 g of methanol and 45.0 g of ethanol
is prepared (and can be assumed to behave as an
ideal solution). (a) Calculate the vapor pressure of
methanol and ethanol above this solution at 20°C.
(b) Calculate the mole fraction of methanol and ethanol in the vapor above this solution at 20°C. (c) Suggest a method for separating the two components of
the solution
Click here to see answer by ikleyn(52775)

Question 1200893: A quantity of 7.480 g of an organic compound is dissolved in water to make 300.0 mL of solution. The
solution has an osmotic pressure of 1.43 atm at 27°C.
The analysis of this compound shows that it contains
41.8 percent C, 4.7 percent H, 37.3 percent O, and
16.3 percent N. Calculate the molecular formula of
the compound.
Click here to see answer by ikleyn(52775)

Question 1200903: the time of her grandson's birth, a grandmother deposits $7000 in an account that pays compounded monthlyWhat will be the value of the account at the child's twenty-first birthday, assu that no other deposits or withdrawals are made during this period?
Click here to see answer by greenestamps(13198)

Question 1200970: A password must be 6, 7, or 8 characters long, and may include capital letters, lower- case letters, or digits. In how many ways could this be done
A)with no restriction?
b)with no repetition permitted?
c)if at least one of the characters in part a) must be a digit?

Click here to see answer by ikleyn(52775)

Question 1200979: A student makes bracelets and neckplaces starting on August 1st. She finishes a necklace every 6 days and a bracelet every 8 days. What is the first date on which the student will finish both a necklace and a bracelet?

Click here to see answer by ikleyn(52775)

Question 1200985: A water tank can be filled by an inlet pipe in
9
hours. It takes
4
times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open?
Click here to see answer by josgarithmetic(39616)

Question 1200960: The line (x/a) + (y/b) = 1, where a and b are positive constant, intersects the x- and y-axes at
the points A and B respectively. The mid-point of AB lies on the line 2x + y = 10 and
the distance AB = 10. Find the values of a and b.
Click here to see answer by Edwin McCravy(20054)

Question 1200933: a) In this question, i is a unit vector due east and j is a unit vector due north.
A cyclist rides at a speed of 4ms−1 on a bearing of 015°. Write the velocity vector of the cyclist in
the form xi + yj, where x and y are constants. [2]
(b) A vector of magnitude 6 on a bearing of 300° is added to a vector of magnitude 2 on a bearing of
230° to give a vector v. Find the magnitude and bearing of v.
Click here to see answer by Alan3354(69443)

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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, 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