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free/or 0.5$ |
| m97638 | When she is about to leave a restaurant counter, Mrs. Albanese sees that she has one penny, one nickel, one dime, one quarter, and one half-dollar. In how many ways can she leave some (at least one) of her coins for a tip if
(a) There are no restrictions?
(b) She wants to have some change left?
(c) She wants to leave at least 10 cents? |
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| m97639 | When the linear search algorithm is applied to the array a1, a2, a3, . .. , an (of n distinct integers) for the integer key, suppose the probability that key has the value at is i /[n (n + 1)], for 1 < i < n. Under these circumstances, what is the average number of array elements examined? |
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| m97641 | When visiting a chamber of horrors, Paul and David try to figure out whether they can travel through the seven rooms and surrounding corridor of the attraction without passing through any door more than once. If they must start from the starred position in the corridor shown in Fig. 11.45, can they accomplish their goal? |
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| m97648 | Which of the closed binary operations in Exercise 3 have an identity? |
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| m97658 | Which of the vectors
Are
(a) Orthogonal?
(b) In the same direction?
(c) In opposite directions? |
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| m97659 | While on a Saturday shopping spree Jennifer and Tiffany witnessed two men driving away from the front of a jewelry shop, just before a burglar alarm started to sound. Although everything happened rather quickly, when the two young ladies were questioned they were able to give the police the following information about the license plate (which consisted of two letters followed by four digits) on the get-away car. Tiffany was sure that the second letter on the plate was either an O or a Q and the last digit was either a 3 or an 8. Jennifer told the investigator that the first letter on the plate was either a C or a G and that the first digit was definitely a 7. How many different license plates will the police have to check out? |
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| m97660 | While traveling through Pennsylvania, Ann decides to buy a lottery ticket for which she selects seven integers from 1 to 80 inclusive. The state lottery commission then selects 11 of these 80 integers. If Ann s selection matches seven of these 11 integers she is a winner. What is the probability Ann is a winner? |
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| m97661 | With both of their parents working, Thomas, Stuart, and Craig must handle ten weekly chores among themselves, (a) In how many ways can they divide up the work so that everyone is responsible for at least one chore? (b) In how many ways can the chores be assigned if Thomas, as the eldest, must mow the lawn (one of the ten weekly chores) and no one is allowed to be idle? |
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| m97662 | With C the field of complex numbers and S the ring of 2 × 2 real matrices of the form
define f: C → S by f(a + bi) =
for a + bi ∈ C. Prove that f is a ring isomorphism. |
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| m97663 | With
let M be the finite state machine given in Table 6.15. Here s0 is the starting state. Let A ⊂ f + where x ⊂ A if and only if the last symbol in w(s0, x) is 1. [There may be more than one 1 in the output string w(s0, x).] Construct a finite state machine wherein the last symbol of the output string is 1 for all y ∈ f+ - A. |
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| m97664 | With m, n, i, ℓ as in Theorem 12.6, prove that
(a) n = (mℓ - 1 )/(m - 1).
(b) ℓ = [(m - 1)n + 1/m. |
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| m97671 | Write a computer program (or develop an algorithm) that implements the hashing function of Exercise 35. |
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| m97672 | Write a computer program (or develop an algorithm) that lists all the subsets of {1, 2, 3, . . . , n), where 1 < n < 10. (The value of n should be supplied during program execution.) <br> </span> </div> </div> <!-- Google Adword Banner--> <div class="google-adword-banner"> <div class="adword-banner"> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script> <!-- question_page --> <ins class="adsbygoogle" style="display:inline-block;width:730px;height:90px" data-ad-client="ca-pub-4274030376980924" data-ad-slot="7315349492"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script> </div> </div> <!-- Relevant Question Section--> <div class="related-question-section"> <span class="related-question-section-heading">Students also viewed these questions</span> <br> <br> <!--Question--> <div class="related-question-statment"> <span class="question-icon-complete-placement"><img src="includes/images/rewamp/question_membership/supported-images/Q_small.png" class="image-text-positioning"></span> <span class="no-padding question-statement-complete-placement"> <span class="related-question-statement-styling"><a href="/determine-all-of-the-elements-in-each-of-the-following">Determine all of the elements in each of the following sets. (a) {1 + (-l)n| n ∈ N} (b) |
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| m97673 | Write a computer program (or develop an algorithm) that reverses the order of the digits in a given positive integer. For example, the input 1374 should result in the output 4731. |
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| m97674 | Write a computer program (or develop an algorithm) to compute the Stirling numbers S{m,n) when 1 < m < 12 and 1 < n < m. |
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| m97675 | Write a computer program (or develop an algorithm) to determine whether there is a three digit integer abc (= 100a + 10b + c) where abc = a! + b! + c!. |
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| m97676 | Write a computer program (or develop an algorithm) to list the integer solutions for
(a) x1 + x2 + x3 = 10, 0 ≤ xi, 1 ≤ i ≤ 3
(b) x1 + x2 + x3 + x4 = 4, - 2 ≤ xi, 1 ≤ i ≤ 4 |
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| m97682 | Write each of the following arguments in symbolic form. Then establish the validity of the argument or give a counterexample to show that it is invalid.
(a) If Rochelle gets the supervisor s position and works hard, then she ll get a raise. If she gets the raise, then she ll buy a new car. She has not purchased a new car. Therefore either Rochelle did not get the supervisor s position or she did not work hard.
(b) If Dominic goes to the racetrack, then Helen will be mad. If Ralph plays cards all night, then Carmela will be mad. If either Helen or Carmela gets mad, then Veronica (their attorney) will be notified. Veronica has not heard from either of these two clients. Consequently, Dominic didn t make it to the racetrack and Ralph didn t play cards all night.
(c) If there is a chance of rain or her red headband is missing, then Lois will not mow her lawn. Whenever the temperature is over 80° F, there is no chance for rain. Today the temperature is 85°F and Lois is wearing her red headband. Therefore (sometime today) Lois will mow her lawn. |
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| m97683 | Write each of the following exponential equations as a logarithmic equation.
(a) 27 = 128
(b) 1251/3 = 5
(c) 10-4 = 1/10,000
(d) 2a = b |
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| m97684 | Write each of the following in exponential form, for x, y ∈ R+.
(a) √xy3
(b) 4√81x-5y3
(c) 53√8x9y-5 |
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