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Donna Densmore verified

Numerade educator

For a number ( -4 / 7 ) : a) What is additive inverse? b) Multiplicative inverse? c) Calculate the following : ( left(frac{-2}{3} ight)^{2}-2left(frac{3}{4} ight) ) (If anybody can't open it, the question is : ( -2 / 3 ) squared minus 2 times (3/4))

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Danielle Fairburn verified

Numerade educator

Each year Jacqui adds to her book collection a number of new publications that she believes will be of lasting value and interest. She has categorized each of her twenty acquisitions for 2015 as hardcover or paperback and as fiction or nonfiction as shown in the table : egin{tabular}{|l|l|l|l|} hline & Fiction (F) & Nonfiction(N) & Totals \ hline Hardcover (H) & 3 & 5 & 8 \ hline Paperback(P) & 8 & 4 & 12 \ hline Totals & 11 & 9 & 20 \ hline end{tabular} If Jacqui randomly chooses one of these 20 book what is the probability that : a) It's a fiction? b) Paperback or a fiction? c) Paperback given that it's a fiction ( (P(P mid F)) ) ?

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Willis James verified

Numerade educator

Two dice are rolled red and green). What is the probability that : Sum on the dice is higher than 3?

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Audrey Fong verified

Numerade educator

A menu at a restaurant consists of 4 choices for an appetizer , 5 for main course and 3 for a drink. How many ways can order be made? b) How many ways can president vice president and a secretary be selected in a club with 12 members? c) How many 5-letter” words” (any combination) could be made using all the letters AHSME ?

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Jeff Harris verified

Numerade educator

For a number 120 : a) Write its prime factorization. b) Is this number abundant, deficient or perfect ?

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INSTANT ANSWER

a) Is the following statement true: All numbers divisible by 2 are divisible by 4? Why? b) What is its negation? c) For a statement (𝑝→~𝑞) ∩ 𝑝 construct its truth table.

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Jerelyn Nevil verified

Numerade educator

Each year Jacqui adds to her book collection a number of new publications that she believes will be of lasting value and interest. She has categorized each of her twenty acquisitions for 2015 as hardcover or paperback and as fiction or nonfiction as shown in the table : Fiction (F) Nonfiction(N) Totals Hardcover (H) 3 5 8 Paperback(P) 8 4 12 Totals 11 9 20 If Jacqui randomly chooses one of these 20 book what is the probability that : a) It’s a fiction? b) Paperback or a fiction? c) Paperback given that it’s a fiction (P (P|F))?

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Tim Thornhill verified

Numerade educator

A machine makes iron rods that are supposed to be 50 inches long. It is known that probability distribution of rods made on this machine is normal with mean of 50 inches and standard deviation of .06 inches. The rods that are either shorter than 49.85 inches or longer than 50.15 inches are discarded. What percentage of rods is discarded?

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Audrey Fong verified

Numerade educator

Let 𝑈 = {1,2,3,4,5,6,7} , 𝐴 = {2,3,4} , 𝐵 = {3,4,5} a) Find set (𝐴 ∩ 𝐵)′. b) Shade it on Venn’s diagram

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Willis James verified

Numerade educator

Is the following an example of inductive or deductive reasoning: “For all natural numbers n, n squared is a natural number. 176 is a natural number. Therefore 176 squared is a natural number.” Explain

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