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  1. Answers
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    878

    a = b/(b+3) a(b+3) = b ab + 3a = b 3a = b - ab...

    a = b/(b+3)
    a(b+3) = b
    ab + 3a = b
    3a = b - ab = b(1-a)

    3/(1-a) = b
  2. Answers
    2
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    1,734

    The probability of getting exactly two 1's is...

    The probability of getting exactly two 1's is 3*[(1/6)^2]*(5/6) = 15/216.

    (The 3 takes care of which of the three dice gives doubles - there are 3 possibilities.

    The probability of getting...
  3. Answers
    8
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    1,208

    Congratulations! Lots of math majors consider...

    Congratulations! Lots of math majors consider the Praxis II Math exam to be quite a difficult exam!

    I also passed that exam. I was aided immeasurably by the sample problems and solutions at...
  4. Answers
    3
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    810

    Does the military still offer college level...

    Does the military still offer college level correspondence courses? I took one many years ago and found it perfect - you study at your own pace, you get individual instructor comments on your...
  5. Answers
    2
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    21,231

    Need Praxis II sample math problems

    I am taking the Praxis II math exam. I didn't think the ETS study guide gives enough sample problems. I think the commercial publisher study guides are written from the point of view of academics,...
  6. Answers
    4
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    15,996

    A 290 degree angle is equivalent to a -70 degree...

    A 290 degree angle is equivalent to a -70 degree angle. Draw a -70 degree angle from the x axis, and call it theta. Let the length of the diagonal line be 130. Draw a line from the x axis to where...
  7. Question: Math

    by reinsuranc
    Answers
    2
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    1,448

    F is linear. G is exponential.

    F is linear. G is exponential.
  8. Answers
    1
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    3,974

    4x^2y - 3y = x^3 The above is unclear; is...

    4x^2y - 3y = x^3

    The above is unclear; is (2y) the exponent? I am guessing only the 2 is an exponent.



    I'll do Part b):

    (4x^2)(y) - 3y = x^3
  9. Question: Probability

    by reinsuranc
    Answers
    1
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    1,535

    Add up each row and each column first. I...

    Add up each row and each column first.

    I assume you want probabilities.

    Positive: 331/2000
    Positive and uses: 297/2000
    Negative, given uses: 3/300
    Doesn't use, given positive: 34/331
  10. Answers
    1
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    1,958

    In year 1 the dividend is 2. Its PV is 2/1.1 ...

    In year 1 the dividend is 2. Its PV is 2/1.1

    In year to the dividend is 2*1.2. Its PV is (2*1.2)/(1.1^2)

    In year 3 the dividend is 2*(1.2^2). Its PV is 2*(1.2^2)/(1.1^3).
  11. Answers
    4
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    1,195

    The web is not governed by any business law? ...

    The web is not governed by any business law?

    That is absolutely false.

    Violate a law on the web and see which of us is right.
  12. Answers
    3
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    2,229

    Good advice on the insurance.

    Good advice on the insurance.
  13. Answers
    6
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    8,090

    I suggest you specialize in a particular...

    I suggest you specialize in a particular audience: teenage girls, church groups, workplace groups, etc. Each group would have unique marketing. You wouldn't market teenage girls the same way you...
  14. Answers
    3
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    3,034

    The annual interest is the face value times the...

    The annual interest is the face value times the coupon rate: $40 million times 11%.

    The market interest rate affects the price of the bond, but not the annual interest.
  15. Answers
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    1,647

    f(x) = x(x-4)(x+2) f(2x) = 2x(2x-4)(2x+2) If...

    f(x) = x(x-4)(x+2)
    f(2x) = 2x(2x-4)(2x+2)

    If f(2x)=0, then (2x=0) or (2x-4 = 0) or (2x+2 = 0),
    so x=0 or x=2 or x=-1.
  16. Question: Finance

    by reinsuranc
    Answers
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    1,453

    100/(1.08)^10=46.32

    100/(1.08)^10=46.32
  17. Answers
    3
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    1,709

    I'll answer the first one: Starting with: 1x...

    I'll answer the first one:

    Starting with:
    1x + 0y = -2
    0x + 1y = +1.

    Replace 1st equation with: Multiply 1st equation by 2 and add 2nd equation: 2x +1y = -3.

    Replace 2nd equation with:...
  18. Answers
    2
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    1,390

    These are not equivalent. y=(x+2)^2+1 =(x^2)...

    These are not equivalent.

    y=(x+2)^2+1
    =(x^2) + (4x) + 4 + 1
    =(x^2) + (4x) + 5.



    y=(x-2)^2+1
    =(x^2) - (4x) + 4 + 1
  19. Answers
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    3,171

    Hi, You need to do a little better job in this...

    Hi,

    You need to do a little better job in this forum with making the problem clear regarding where the square root sign ends and where the denominator ends.

    I think you are asking:

    for what...
  20. Answers
    3
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    5,558

    A few more details

    x^2 + y^2 = 5
    x = y + 1
    (y+1)^2 + y^2 = 5
    y^2 +2y +1 +y^2 - 5 =0
    2y^2 + 2y -4 = 0
    y^2 +y -2 = 0
    (y + 2)(y - 1) = 0
    y roots are -2 and +1.
    corresponding x values are -1 and 2.
  21. Answers
    5
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    17,179

    My attempt - two out of three

    A.
    f(u)=u^2+u and g(x)=2x+1
    Let u=g(x)=2x+1
    f(g(x))=f(u)=(2x+1)^2+(2x+1).


    B.
    I don't understand the next part of the problem.
    You have not defined g(circle)f.
  22. Answers
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    904

    Distance Learning for Advanced Math

    Hi,

    I am looking for distance learning for advanced math.

    As an example, I am looking for a course in Game Theory and a course in Number Theory. These are junior or senior level college math...
  23. Question: Probability

    by reinsuranc
    Answers
    1
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    1,143

    Draw a rectangle, representing the sample space....

    Draw a rectangle, representing the sample space. The sum of all probabilities in the rectangle equals 1.

    Within the rectangle, draw two circles A and B that have a portion of their area...
  24. Answers
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    1,922

    At Will

    I am not a lawyer either. But I thought employment at will means there does not need to be a reason for discharging an employee.

    It's not fair, but that's how it is.
  25. Question: Functions

    by reinsuranc
    Answers
    7
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    1,836

    How would you determine the domain and range of...

    How would you determine the domain and range of y=x^4-4x^2?

    y = (x^4) - 4*(x^2)
    y = (x^2) * (x^2 - 4); this says there zeroes at 2 and -2, and two zeroes at x=0.

    y' = 4*(x^3) - 8x; set equal...
  26. Question: Statistics

    by reinsuranc
    Answers
    2
    Views
    2,304

    Either a delivery is on time (

    Either a delivery is on time (<= 10 minutes), or it isn't, so assume this is a binomial distribution with n=100, p=.9, q=1-p=.1

    Then, for a binomial distribution,
    mu=np=90, and...
  27. Statistical test for discrimination in employment

    Hi,

    1. How does one test that a particular employee benefit does not discriminate against lower-paid employees?

    2. How does one test that the workforce is adequately representative of...
  28. Question: Logarithms

    by reinsuranc
    Answers
    1
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    2,368

    log(b^a)=a*log(b) log(16) = log(4^2) = 2 log4...

    log(b^a)=a*log(b)

    log(16) = log(4^2) = 2 log4 = 2*.602 = 1.204

    log(1/3) = log(3^-1) = -log3 = -.477
  29. Question: Algebra! Help!

    by reinsuranc
    Answers
    1
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    1,951

    This was not a "couple of problems." You're not...

    This was not a "couple of problems." You're not expecting us to do all your homework, are you?

    Why don't you show us how far you got on each of them and we can show you where you might have gone...
  30. Question: Math problems

    by reinsuranc
    Answers
    2
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    1,631

    Find the value of r

    Find the value of r so that the line that passes through (-4, 3) and (2, r) has a slope of m= 2/3.

    If (x1,y1) and (x2,y2) are two points, then the slope of the straight line that connects the...
  31. Question: Curve fittings

    by reinsuranc
    Answers
    1
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    1,306

    Curve Fitting

    Please explain a little better what you are trying to do.

    For example, do you have a table of values of x and y, and are you trying to interpolate to find an intermediate value? Or are you trying...
  32. Answers
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    1,293

    Intersecting the x-axis means y=0. ...

    Intersecting the x-axis means y=0.

    2x^2-2x+3k=0.

    By the quadratic formula,
    x=( 2 plusorminus squareroot(4 - 4*2*3*k) )/4.

    Intersecting at two distinct points means the term under the...
  33. Answers
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    2,463

    I don't know what you mean by expected gain here....

    I don't know what you mean by expected gain here.

    The expected value is the mean, 160.
  34. Start with the quadratic in the form y = a*x^2 +...

    Start with the quadratic in the form y = a*x^2 + b*x + c. If the quadratic is not in that form, manipulate it until it is.

    If a>0, the parabola is U-shaped; if a<0, the parabola is upside-down...
  35. Answers
    3
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    2,093

    x^.5 + (x-5)^.5 = 5

    It is easier to write such equations on this board as x^.5 + (x-5)^.5 = 5, instead of trying to draw square root symbols.

    The answer to the above is 9:

    x^.5 + (x-5)^.5 = 5

    (x^.5 - 5)^2 = (...
  36. So we have found two ways to construct these...

    So we have found two ways to construct these areas. The first way uses six equal lengths of fence, 6x=200, x=33.3. The second way uses five equal lengths of fence, 5x=200, x=40.

    The first way...
  37. Answers
    3
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    4,298

    Graphing

    Start with the quadratic in the form y = a*x^2 + b*x + c.

    If a>0, the parabola is U-shaped; if a<0, the parabola is upside-down u-shaped.

    If a>0, the minimum y value is at the point called the...
  38. Answers
    3
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    5,926

    This is not about inequalities

    Let B = number miles Brandon drove, and
    let P = number of miles Pat drove.

    We can write one equation about kilometers:

    Bx100 + Px90 = 545.

    We can also write one equation about hours:

    B...
  39. Answers
    1
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    5,057

    This was hard

    I'll set it up: you can finish it. This was not easy.


    Let line a1 be y=(squareroot3)(x).
    Let line a2 be y=mx, with m unknown, such that
    the lines intersect at (0,0) making an acute angle A.
    ...
  40. Question: Trig problem

    by reinsuranc
    Answers
    3
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    4,403

    Use the Law of Cosines

    Let a, b, and c be the lengths of the legs of a triangle opposite angles A, B, and C. Then the law of cosines states

    a^2 = b^2+c^2-2bccosA
    b^2 = a^2+c^2-2accosB
    c^2 = a^2+b^2-2abcosC.
    ...
  41. Answers
    4
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    1,421

    Grammatical errors

    There certainly are plenty of grammatical errors, starting with the first sentence:

    I am Ralph Smithbullet your nephew’s friend met on the island.

    For example, I would rewrite as:

    I am...
  42. Question: Math problem

    by reinsuranc
    Answers
    10
    Views
    3,179

    Converting Fahrenheit to Centigrade and vice versa

    I memorized those conversion formulas when I was a kid, and long forgot them.

    However, I can derive them if I need them.

    I know two points for values of Centigrade and Fahrenheit, freezing and...
  43. Answers
    2
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    2,739

    Solve this equation

    This would be an equation if it ended with "equals zero".

    Assuming that is what you intended, the largest exponent of x is 2. That makes this a quadratic equation. There is a formula called the...
  44. Question: Statistics

    by reinsuranc
    Answers
    1
    Views
    2,754

    Distribution of the mean

    The distribution of the mean is approximately normal, with mean approximated by XBAR = 123, and standard deviation approximated by SD/SQUAREROOT(n) = .08/SQUAREROOT(3).

    Given the above, it is then...
  45. Question: Percentages

    by reinsuranc
    Answers
    1
    Views
    1,339

    I'll set it up - you solve it

    Currently Lead has 20 kg and is 6% of what total? 20 = 6% of X, X = 20/6% = 333.33 kg.

    Currently Copper is 60% of 333.33 = 200 kg. Currently Zinc is 34% of 333.33 = 113.33 kg.

    Let's add C kg...
  46. Answers
    1
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    2,441

    Close

    The answer should be 2x2x2x2=16, so you are missing one possible wardrobe.
  47. Answers
    1
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    2,592

    The equation of a circle with center x=h and y=k...

    The equation of a circle with center x=h and y=k and radius r, is:

    (x - h)^2 + (y - k)^2 = r^2. Here I am using the symbol ^ to indicate exponentiation.

    In your example, h=-2, k=1, r=2.
    ...
  48. Answers
    5
    Views
    5,980

    Lookup in Excel

    Thank you, but no, that's not what I was after.

    Using the Excel built-in function is sort of similar to a table lookup.

    What did we do before Excel to CALCULATE, not look up, the value of pi?
    ...
  49. Answers
    5
    Views
    5,980

    Calculating pi to n decimal places

    Suppose your goal is to calculate (not look up) a value of pi that is accurate to n decimal places. Suppose n were 10. How would you do it?
  50. Question: Probability

    by reinsuranc
    Answers
    1
    Views
    1,580

    If among n things, r1 are identical, and the rest are distinct,

    If among n things, r1 are identical, and the rest are distinct, the number of permutations is n! / [(r1)! ]

    a. Five letter words: = 5! / [2! ] = 60

    You should be able to do the rest yourself.
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