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Problem 38

Calculate the indicated partial sums. $$\sum_{i=0}^{3}(12.3+0.5 i)$$

Problem 38

Let \(U=\\{x | x \text { is a whole number and } 1 \leq x \leq 15\\}\) \(A=\\{1,2,3,4,5\\}, B=\\{2,4,6,8,10\\},\) and \(C=\\{11,12,13,14,15\\} .\) Write each of the following using the listing method. $$B \cap B$$

Problem 38

Let \(U=\\{x | x \text { is a natural number and } 1 \leq x \leq 12\\}\) \(A=\\{1,2,3,4,5\\}, B=\\{2,4,6,8,10\\}\) and \(C=\\{3,6,9,12\\} .\) Determine the cardinality of the indicated sets. $$(B \cup C)^{C}$$

Problem 39

Consider the following group of bivariate values: $$\begin{array}{lllllll} \hline x_{1}=1.42 & x_{2}=1.48 & x_{3}=1.52 & x_{4}=1.5 & x_{5}=1.41 & x_{6}=1.42 & x_{7}=1.49 \\ y_{1}=1.38 & y_{2}=1.44 & y_{3}=1.48 & y_{4}=1.45 & y_{5}=1.36 & y_{6}=1.39 & y_{7}=1.44 \\ \hline \end{array}$$ Compute the following partial sums. $$\sum_{i=1}^{5} y_{i}$$

Problem 39

Let \(U=\\{x | x \text { is a natural number and } 1 \leq x \leq 12\\}\) \(A=\\{1,2,3,4,5\\}, B=\\{2,4,6,8,10\\}\) and \(C=\\{3,6,9,12\\} .\) Determine the cardinality of the indicated sets. $$(A \cup U)^{C}$$

Problem 39

Let \(U=\\{x | x \text { is a whole number and } 1 \leq x \leq 15\\}\) \(A=\\{1,2,3,4,5\\}, B=\\{2,4,6,8,10\\},\) and \(C=\\{11,12,13,14,15\\} .\) Write each of the following using the listing method. $$C \cap B$$

Problem 39

Calculate the given combination.$$_{10} C_{4}$$

Problem 40

Let \(U=\\{x | x \text { is a whole number and } 1 \leq x \leq 15\\}\) \(A=\\{1,2,3,4,5\\}, B=\\{2,4,6,8,10\\},\) and \(C=\\{11,12,13,14,15\\} .\) Write each of the following using the listing method. $$U \cap A$$

Problem 40

Calculate the given combination.$$ _{12}C_{4}$$

Problem 40

Consider the following group of bivariate values: $$\begin{array}{lllllll} \hline x_{1}=1.42 & x_{2}=1.48 & x_{3}=1.52 & x_{4}=1.5 & x_{5}=1.41 & x_{6}=1.42 & x_{7}=1.49 \\ y_{1}=1.38 & y_{2}=1.44 & y_{3}=1.48 & y_{4}=1.45 & y_{5}=1.36 & y_{6}=1.39 & y_{7}=1.44 \\ \hline \end{array}$$ Compute the following partial sums. $$\sum_{i=1}^{5} x_{i}$$

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