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

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...

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...

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...

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,...

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...

F is linear. G is exponential.

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

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

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).

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.

Good advice on the insurance.

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...

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.

f(x) = x(x4)(x+2)
f(2x) = 2x(2x4)(2x+2)
If f(2x)=0, then (2x=0) or (2x4 = 0) or (2x+2 = 0),
so x=0 or x=2 or x=1.


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:...

These are not equivalent.
y=(x+2)^2+1
=(x^2) + (4x) + 4 + 1
=(x^2) + (4x) + 5.
y=(x2)^2+1
=(x^2)  (4x) + 4 + 1

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...

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.

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.

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...

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...

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.

How would you determine the domain and range of y=x^44x^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...

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=1p=.1
Then, for a binomial distribution,
mu=np=90, and...

Hi,
1. How does one test that a particular employee benefit does not discriminate against lowerpaid employees?
2. How does one test that the workforce is adequately representative of...

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

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...

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...

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...

Intersecting the xaxis means y=0.
2x^22x+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...

I don't know what you mean by expected gain here.
The expected value is the mean, 160.

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 Ushaped; if a<0, the parabola is upsidedown...

It is easier to write such equations on this board as x^.5 + (x5)^.5 = 5, instead of trying to draw square root symbols.
The answer to the above is 9:
x^.5 + (x5)^.5 = 5
(x^.5  5)^2 = (...

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...

Start with the quadratic in the form y = a*x^2 + b*x + c.
If a>0, the parabola is Ushaped; if a<0, the parabola is upsidedown ushaped.
If a>0, the minimum y value is at the point called the...

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...

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.
...

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^22bccosA
b^2 = a^2+c^22accosB
c^2 = a^2+b^22abcosC.
...

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...

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...

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...

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...

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...

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

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.
...

Thank you, but no, that's not what I was after.
Using the Excel builtin function is sort of similar to a table lookup.
What did we do before Excel to CALCULATE, not look up, the value of pi?
...

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?

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.
