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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 the intervals of increase and decrease for f(x) = 6x3 + 54x2 - 228x - 7. Whaqt is an equation for the tangent line to the curve y = (3x2 + x - 1)9at the point where x = 0.
Solve and graph the inequality-What is the solution set? Select the correct choice below and, if necessary, fill in the answer box within your choice.
Find the cost function for the give marginal cost and specified fixed cost: dC/dx = 90x + 700. At x = 0 the fixed cost is C(0) = $5500.
Linear equation in two variables
Solve logarithmic equation without using a calculator.
an environmental agency worries that many cars may be violating clean air emissions standards. the agency hopes to
The joint probability density function.
Use the given information to find the exact value of each of the following: Simplify answer, using radicals as needed, use integers or fractions for any number in the expression, rationalize all denominators.
Explain, using a diagram, how the following problems illustrate the two interpretations of division: partitive division ans measurement division.
Write down two distinct maximal ideals of . Does have a finite or infinite number of maximal ideals? Give brief reasons for your answer.
Increasing the logarithmic expression
find the percent of change. where necessary round to the nearest percent. describe the percent of change as a percent
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