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1. Let A be a non-empty set. Prove that if there exists an injection f : A -> N(natural numbers), then A is finite or countably infinite.
2. Prove that on the real line R, the collection of all closed intervals with rational endpoints is a countable set.
If a bedroom set sells for $10,000 and a living room set sells for $18,000, determine the number of bedroom sets and living room
write a dialogue involving at least 10-15 interchanges about the equality to which we are entitled and the inequalities
Board feet is a measurement of lumber volume. A board foot is equal to 144 in3 of wood. About how many board feet is a piece of lumber that measures 2 in. by 8 in. by 12 ft?
Graph this equation and find an appropriate domain and range.
for the woman. They decide to take out a life insurance policy that will pay $10,000 if either one dies during the next 5 years and $15,000 if both die during that time. How much should they be willing to pay for this policy? (Assume that their li..
Suppose the exchange rate between the U.S. dollar and the Swedish krona was 6.65 krona = $1.00, and the exchange rate between the dollar and the British pound was £1 = $1.67. What was the exchange rate between Swedish kronas and pounds?
Suppose that a box has a volume of 100 cubic centimeters and that the area of the bottom of the box is 50 square centimeters. Find the height of the box. Show all the steps for solving this question.
The lifetimes of an appliance are normally distributed with a mean of 4.3 years and a standard deviation of .45 years. Describe the distribution of lifetimes for this appliance.
a study estimate the mean annual people income for people living in public housing in california. for a random sample
Generate a table of conversions from inches to centi-meters. Start the inches column at 0.0 and increment by 0.5 in. The last line should contain the value 20.0 in.(Recall that 1 in= 2.54cm)
Make the shape of the square.
A group of nine students has a mean of 3.5 people per . Make a line plot showing a data set that fits this household.
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