In a recent survey of 100 women, the following
information was gathered:
#3: Enter Uses B and C, but not A:
13 11 = 2
59 use shampoo A.
51 use shampoo B.
35 use shampoo C.
24 use shampoos A and B.
19
Section 4.1
41. (p. 190)
A certain school has 40 freshman, 30
sophomores, 15 juniors, and 10 seniors.
a. What is the ratio of sophomores to
freshmen?
b. What is the ratio of seniors to freshmen?
Secti
5[3(7 t) 4(8 2t)] 20 = 6[2(6 3t) 4]
Detailed Method
Eliminate the inner most parentheses by using the distributive
property, but first convert minus 4 to plus 4
5[(3)(7 t) + (4)(8 2t)] 20 = 6[(2)(6 3t
When is a radical in simplified form?
A radical is simplified when:
1. The radicand, i.e., the expression under the radical, is simplified.
2. The index cannot be reduced.
3. Any exponents in the radi
Example 3 (page 527)
The Eureka Lightbulb Company tested a new line of lightbulbs and found their lifetimes to be normally
distributed with a mean life of 98 ( = 98) and a standard deviation of 13 hou
The final step is to remember how an intersection works
Example 4 (p. 419)
Anything that will be in an intersection of two sets, for
example, A B and B , must be in BOTH sets!
To answer Example 4, you
Multiply
Multiply and simply.
+
Step
Step 1: Good housekeeping
+
:
+
+
=
+
Step 3: Fully factor all polynomials
Step
=
+
=
i.e. it is fully factored
+
=
=
i.e. it is fully factored
+
Check
Check
+
+
+
REVIEW FINAL
1. Suppose that lim f ( x) 9 and lim g ( x ) 4 . Find the following limit:
lim 14 g( x)
xc
x c
x c
A)
B)
C)
D)
E)
56
126
14
4
9
2. Use properties of limits and algebraic methods to find t
Math 457: Introduction to Mathematical Logic
Homework #1
January 13, 2012
We refer to Chapter 2 of the Mathematical Logic lecture notes.
1. Carefully study Exercise 2.2.14 and verify its solution to y
The K-th Percentile is that number such that K % of all data values are less and (100 - K)
% are larger than it, or to be more precise, at least K% of the sorted values are less than
or equal to it an
10.1 Frequency Distributions & Graphs
MTH-120 Grades
A
IIII IIII
B
IIII IIII I
C
IIII IIII IIII I
D
IIII IIII
F
IIII
10.1 Frequency Distributions & Graphs
MTH-120 Grades
A
IIII IIII
9
B
IIII IIII I
11
What
What is the APR at a car dealership that will sell you a used car for
$8,322 with $322 down and 60 monthly payments of $164.90?
(Round your answer to the nearest tenth.)
=
,
To
To use the APR for
Example:CalculatingMonthlyInterestandNewBalance
foraCreditCardusingtheAverageDailyBalanceMethod
Calculate the monthly interest and the new balance at the end of the month for a credit card with an
APR
Changing a whole number, e.g., 43, from Base 10 to Base 2
The first step is to find the largest power of 2 that
is less than 43.
Since 8 can go into 11 once or 1 time, we write
down a 1 to the right o
Divide, if possible.
When dividing a number by a fraction, multiply the number and the reciprocal of the fraction; e.g.
Remember: When dividing two fractions, it is always the fraction on the right th
To answer the questions, we should first convert
the frequency table into a table of raw data.
Raw Data
N
1
2
3
4
5
6
7
8
9
10
Salary
$25,000
$25,000
$25,000
$25,000
$28,000
$28,000
$28,000
$30,000
$3
Formula Sheet
Discount Formulas
D=PM
or Discount = Original Price x Markdown
S=PD
or Sale Price = Original Price Discount
C=1M
or Complement of Markdown = 1 Markdown
S = P (1 M)
or Sale Price = Origin
Chapter 11
Graphing linear equations (11.3)
In other words
Drawing straight lines on a graph; i.e.,
on
on the x and y axis
Graphing nonlinear equations (11.5)
In other words
Drawing lines that are n
MATH 457: Introduction to Mathematical Logic
Homework #2
January 27, 2012
We refer to Chapter 2 of the Mathematical Logic lecture notes.
1. Redo Homework #1.
2. Let C be the sentence in item 3(c) on p