4a) We know f(r)=(r,0r, 0r,.) and f(s)=(s, 0r, 0r,.)
We can let f(r)=f(s)
then (r,0r, 0r,.) = (s, 0r, 0r,.),
which implies r=s.
Therefore f is injective.
Let E be a set of even integers with ordinary addition of integers for +, and for
multiplication, the operation * defined by a*b = (a*b)/2 where * is ordinary
multiplication of integers. Then E is a commutative ring with multiplicative identity.
To prove
Ancient Greece:
Pythagoras Pythagoras was a Greek mathematicians and philosopher who lived in the
sixth century BC, from 570-495 B.C. He spent most of his time in Croton, Italy, where
he established a school. He is well known for the Pythagorean Theorem,
A Square and Things
Everybody has used the word algebra multiple times throughout his or her life. Even
after using this word, nobody has stopped and thought about where this word came from.
However, the word Algebra comes from a title of a book written i
1. Body Characteristics Stacked: Has lots of data about the physical condition of men and
women. Test if variation in Systolic Blood Pressure (SYS) is the same for men and women.
Let alpha = 0.05
a. Test for Normality of samples from each population
i. Sk
1
Abstract:
Introduction:
In todays society, fuel consumption is increasing at an extraordinary rate. This is
due to the large influx of drivers on the road, and the increase in travel demands. Since
energy is becoming a very limited resource, there have
1. Use the Munro nursing database to determine if the people with different
smoking histories (coded as SMOKE) have the same average current quality
of life score, (coded as QOLCUR). Use alpha = 0.05.
a. A statement of the question under study
b. Normalit
1. Body Characteristics Stacked: Has lots of data about the physical condition of men and
women. Test if variation in Systolic Blood Pressure (SYS) is the same for men and women.
Let alpha = 0.05
a. Test for Normality of samples from each population
i. Sk
1. Write out the steps & decisions involved in testing for Normality.
1. Skewness: whether a curve is skewed to the left or right and |skew| < 1
2. Kurtosis: the height and sharpness of the peak and |kurt| < 1
3. Histogram: the total area under the curve
MA118 Laboratory Project 3
Minimizing average cost
You are a member of the financial planning office in a large corporation. You have been asked by
the CFO (Chief Financial Officer) to develop a production plan for a current line of laser printers.
Since
MA 118 Laboratory Project 5: Elasticity of Demand
Objective: To use the concept of elasticity of demand to determine an appropriate tuition level for
the University.
Problem Description: This is a continuation of Math 117 laboratory exercise # 2. In that
MA118 Laboratory Project 2 Modeling union membership
A mathematical model is a mathematical object (often a function or equation) which is used to represent and predict real-world data. In this lab, you're going to look at a mathematical model your t