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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?
Find two consecutive even integers such that the smaller added to two time the larger gives a sum of 28.
the members of a flying club plan to share equally the cost of a 200000 airplane. the members want to find five more
Simplify the Algebraic Expression - 6x7- 2x3 + 4x -16/3x2 - 7x + 9
What are the possible rational factors of the polynomial x^3 -8x^2 + 5x + 14? Why? What is the axis of symmetry of y = 3(x-4)^2 + 1 ?
Find the vertex of the function
Find how many bowls does each machine produce
Calculate the amount
When is it necessary to find the least common denominator (LCD) of two rational expressions? Describe, in your own words, the process for finding the LCD of two rational expressions. How is factoring related to this process?
Simplify the quadratic equations
Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed.
In how many ways can a black rook and a white rook be placed on different squares of a chess oard such that neither is attacking the other? (In other words, they cannot be in the same row or the same column of the chess board. A standard chess boa..
Solve the equation to find the variable.
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