geno3141

I'm don't quite understand the question; so someone else may give a better answer ...

But, this might help:

If you are solving an inequality that requires multiplication or division:

1) If you multiply or divide both sides by a positive number, keep the direction of the inequality the same.

    Examples:       2x > 12                                            x/5 < 3

                            x > 6   (divide by 2)                            x < 15         (multiply by 5)

2) If you multiply or divide both sides by a negative number, switch the direction of the inequality.

    Examples:       -2x > 12                                            -x/5 < 3

                            x <  -6   (divide by -2)                           x > -15         (multiply by -5)

sinθ / (1 - cos²θ)

Since   sin²θ + cos²θ  =  1

--->    sin²θ  =  1 - cos²θ

So:  sinθ / (1 - cos²θ)  =  sinθ / sin²θ  =  1 / sinθ  =  cscθ

Trig is easier if you can remember the Pythagorean Identity in its three forms:

     sin²θ + cos²θ  =  1      sin²θ  =  1 - cos²θ          cos²θ  =  1 - sin²θ    

Also, there are two more that derive from the above:

     1 + tan²θ = sec²θ          1 + cot²θ + csc²θ

Use the distributive property to simplify:  2(s - 5t)  =  2(s) - 2(5t)  =  2s - 10t

7 + 2s - 5t

If you start with mg sin(A) = umg cos(A)

and divide both sides by mg, you get  sin(A)  = ucos(A)

Divide both sides by cos(A) to get  tan(A) = u

If you enter 19° for A:  u = tan(19) -->  u = 0.34

At least, that's the math; I'm not so sure about the physics.

Let  n  represent the number of employees.

Then 4% of n  =  148

Replace 'of'' with 'times'

 4% of n  =  148  

 4% · n  =  148  

Since 4%  =  0.04:

0.04 · n  =  148  

Divide by 0.04:

0.04 · n ÷ 0.04 =  148 ÷ 0.04

n  =  3700

-6arcsin(3x) = π

Divide both sides by -6:

arcsin(3x)  =  - π / 6

Take the sin of both sides:

  3x  =  sin( - π / 6)

But sin( - π / 6) = -sin( π / 6)   and sin( π / 6) = 1/2, so:

  3x  =  -1/2

   x  =  -1/6 

1) I don't know what the table in your textbook looks like.

    However, you can create this data by using this formula:  nCr·p^r·(1-p)^r    For instance, to find

       0 persons:  20C0·.45^0·.55^20

       1 person:    20C1·.45^1·.55^19

       2 persons:  20C2·.45^2·.55^18

       ...

       20 persons:  20C20·.45^20·.55^0

2)  Exactly 11:  20C11·.45^11·.55^9

3)  (assuming an exclusive between)  Between 6 and 10: find the values for exactly 7, 8, and 9 and add                                                                   them together.

4)  At least 5 (can be done two ways, one way is): Find the values of 5, 6, 7, ..., 20 and add them togehter.       (Can you find an easier way?)

5)  Similar to this question in the previous problem

6)  I have no idea what the graph is ...

7)  Standard deviation calculation is similar to the standard deviation calculation of the previous problem.

8)  Unusual -- similar to this question in the previous problem.

Thanks CPhill, it definitely should be.

To solve for x, get all the x-terms to one side and everything else to the other side:

xy + 5  =  x + 7

Subtract 5 from both sides:

xy  =  x + 2

Subtract x from both sides:

xy - x  =  2

Factor out the x:

x(y - 1)  =  2

Divide both sides by y - 1:

x  =  2 / (y - 1)

e is the base of natural logarithms; it has a value of 2.71828...  (an irrational number)

What kind of problems do you need help with?