# The ritz carlton hotel used a customer opinion questionare to obtain performing data about its dining and entertainment services. Customers were asked to rate six factors: Welcome, Service, food, menu, appeal, atmosphere and overall experience. Data were recorded for each factor 1 for fair 2 for average and 3 for good and 4 for excellent a) The customers response provided data for six variables. Are the variables quantative or qualitative? b) What measurement of scale if used?

Friday, October 1st, 2010

### Solution:

1. A quantitative variable is a phenomenon measured in amounts, that is, numerical units. For example, a numerical score is a quantitative variable.
2. The measurement is based on a scale of 1 to 4.

# 2x-5y=9 and 3x+4y=25. Solve by the method of elimination.

Saturday, July 24th, 2010

### Solution:

1.    3x + 4y=25
2.    2x – 5y=9

We could rewrite these as follows by multiplying the first equation by 5 and the second by 4:

1.    15x + 20y = 125
2.    8x  – 20y = 36

If we add the above two equations, we can eliminate y:

23x = 161

So x =3D 7, and plugging this into the first equation we can figure out
y:  21 + 4y =3D 25,

so y = 1

# Factor the following expression: x^2-9

Monday, July 19th, 2010

### Solution:

First recognize that this is in the form of (x2-a2), which can always be factored as (x+a)(x-a). If you multiply these two terms, you get x2-ax+ax-a2, which is equal to x2-a2.

So in this case, we can see that a=3,

so  x2-9

=  x2-32

= (x+3)(x-3)

# Simplify : 12 – ( x + 3 ) +10

Monday, July 19th, 2010

### Solution:

You can simply 12 – ( x + 3 ) +10 by rearranging the terms:

1. 12 –x -3 +10
2. 19-x

# Cara made some cookies for her math club bake sale. She sold 3/5 of them in the morning and 1/4 of the remaining cookies in the afternoon. If she sold 200 more cookies in the morning than in the afternoon, how many cookies did she make?

Saturday, July 17th, 2010

### Solution:

2. First she sold three fifths of x(.6x)
3. The remaining amount is two fifths of x(.4x)
4. Then she one fourth of x;two fifths of “x” (.25*.4x = .1x)
5. .6x=.1x+200
6. .5x=200
7. x= 400

# If 2(x-5)=-11, then x=?

Saturday, July 17th, 2010

### Solution:

• 2(x – 5) = -11
• 2x – 10 = -11
• 2x = -1
• x = -0.5