"Aynı koşullar ve varsayımlar altında meydana gelen, özellikleri aynı sonuçların (ölçüm değerlerinin) yanında farklı sonuçları da alabilen olaylara .......... denir." cümlesinde noktalı yere aşağıdakilerden hangisi gelir? \begin{tabular}{|ll}\hline A & Yığın olay \\ \hline B & Tipik olay \\ \hline D & Bensal olay \\ \hline & E Şansa bağlı olay \\ \hline\end{tabular}

¿Qué es un cuantificador en lógica matemática? a) Un número que representa una cantidad fija b) Un simbolo que indica cuántos elementos de un conjunto cumplen una propiedad c) Un tipo de operacion matemática d) Una variable algebraica

Part B Eating daily from all the food groups will give you a balanced diet. Name the basic food groups.

Part II. The following problems have exactly one best answer. Chose the correct answer. 1. Which of the following compound propositions is necessarily true? A. \( p \wedge \neg p \) C. \( p \Leftrightarrow \neg p \) B. \( p \vee \neg p \) D. . \( (p \vee \neg p) \Rightarrow p \) 2. Which of the following represents a set? A. The Collection of good students in a class. C. \( \{a, b\}, c \). B. The collection of cows with 6 legs. D. The collection of interesting birds. 3. Which of the following is a proposition? A. What is your name? C. May God bless you! B. \( 2 x-3=0 \) D. 123 is a prime number. 4. Let A be any set and \( \mathrm{P}(\mathrm{A}) \) be the power set of A , which of the following is true? A. \( \{\varnothing\} \subseteq A \) B. \( \emptyset \in A \) C. \( \emptyset \in P(A) \) D. \( A \subseteq P(A) \) 5. Which of the following statement is true? A. \( (\forall x \in R)(\exists y \in R)(2 x+y=-4) \) C. \( (\forall x \in R)(\exists y \in R)(x y=1) \) B. \( (\exists x \in R)(\exists y \in R)(|x y|=-3) \) D. \( (\exists x \in R)(\forall y \in R)(2 x+y=-4 \) 6. Let A be any set with certain number of elements, then which of the following is false? A. A may contain 5 proper subsets C. A may contain 16 subsets B. A may contain only one proper subset D. A may contain only one subset 7. Let p and q be propositions which of the following implies that. \( p \wedge q \) is true. A. . \( p \vee q \) is true B. . \( \neg p \wedge q \) is false C. \( p \Rightarrow q \) is true D. \( p \Rightarrow \neg q \) is false

11 If \( \overrightarrow{\mathrm{A}}=(4,3,2) \quad, \overrightarrow{\mathrm{B}}=(-2,5,-1), \overrightarrow{\mathrm{C}}=(8,19,4) \) (1) Find in terms of fundamental unit vectors each of : \( \vec{B}-\overrightarrow{\mathrm{C}}, 2(\overrightarrow{\mathrm{~B}}+\overrightarrow{\mathrm{C}}) \) (2) Find : \( \overrightarrow{\mathrm{C}} \) in terms of \( \overrightarrow{\mathrm{A}} \) and \( \overrightarrow{\mathrm{B}} \)

Part II. The following problems have exactly one best answer. Chose the correct answer. 1. Which of the following compound propositions is necessarily true? A. \( p \wedge \neg p \) C. \( p \Leftrightarrow \neg p \) B. \( p \vee \neg p \) D. . \( (p \vee \neg p) \Rightarrow \mathrm{p} \) 2. Which of the following represents a set? A. The Collection of good students in a class. C. \( \{a, b\}, c \). B. The collection of cows with 6 legs. D. The collection of interesting birds. 3. Which of the following is a proposition? A. What is your name? C. May God bless you! B. \( 2 x-3=0 \) D. 123 is a prime number. 4. Let A be any set and \( \mathrm{P}(\mathrm{A}) \) be the power set of A , which of the following is true? A. \( \{\varnothing\} \subseteq A \) B. \( \emptyset \in A \) C. \( \emptyset \in P(A) \) D. \( A \subseteq P(A) \) 5. Which of the following statement is true? A. \( (\forall x \in R)(\exists y \in R)(2 x+y=-4) \) C. \( (\forall x \in R)(\exists y \in R)(x y=1) \) B. \( (\exists x \in R)(\exists y \in R)(|x y|=-3) \) D. \( (\exists x \in R)(\forall y \in R)(2 x+y=-4 \) 6. Let A be any set with certain number of elements, then which of the following is false? A. A may contain 5 proper subsets C. A may contain 16 subsets B. A may contain only one proper subset D. A may contain only one subset 7. Let p and q be propositions which of the following implies that. \( p \wedge q \) is true. A. . \( p \vee q \) is true B. . \( \neg p \wedge q \) is false C. \( p \Rightarrow q \) is true D. \( p \Rightarrow \neg q \) is false