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1) Give clearly justified answers to the following.
a) How many 7-digit telephone numbers can be formed if the first digit cannot be 0 or 9 and if the last digit is greater than or equal to 2 and less than or equal to 3? Repeated digits are allowed.
b) How many different ways are there to arrange the 6 letters of the word CANDLE?
c)Tim writes the letters of his name on cards (one letter on each card) and puts them in a hat. He mixes up the cards and randomly picks a card out. He returns the card, mixes them up, and picks another card. He repeats this one more time. What is the probability that he picks the letters of his name (in the correct order)?
d)In how many ways can 12 people be placed on 3 distinct teams of 3, 5, and 4 members?
e)A contestant tosses a fair six-sided die. He receives $18 if a 3 appears and pays $3 if a number other than 3 appears. What is the expected value of a trial of this game?
f)suppose that a hand of 8 cards is dealt from a standard deck of cards. What is the probability that the hand has atleast one spade?
For the function f defined by f(x)=6x/x^2+1, find the following vales (simplify each answer). Find the domain of the function: f(x)=sqrt25-x
Prove that Any Bounded subset of R has a supermium and Infimum. Let S be a bounded and closed point set, and let f be a function defined on S which is continuous at each point of S.
Sergeant Davies solicited help from Ms. Maris, an analyst in the operations area for the police department. Together they began to work through the problem.
Write down the equation
A random sample of 91 employees of Eastern Electric Co. showed that the number of days missed by each worker last year due to illness was as follows:
Use algebra to solve the problem.
During the meeting, several employees remark that some of the clients have asked advice about offering a trade discount for purchases in wholesale quantities.
In how many ways can a 12-member jury be chosen from a pool of 22 citizens?
Vertex and axis of symmetry from the graph.
Make a graph for quadratic function.
Define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution. Explain why it is the solution.
Provide a coefficient matrix corresponding to the system of linear equations.
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