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Questions in mathematics

📝 Answered - Use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to determine which of the assignments of probabilities should be used if the coin is known to always come up heads. Assignment(s) should be used if the coin is known to always come up heads. (Use a comma to separate answers as needed.) | Assignments | HH | HT | TH | TT | | ----------- | ----- | ----- | ----- | ----- | | A | [tex]$\frac{1}{4}$[/tex] | [tex]$\frac{1}{4}$[/tex] | [tex]$\frac{1}{4}$[/tex] | [tex]$\frac{1}{4}$[/tex] | | B | [tex]$\frac{1}{3}$[/tex] | [tex]$\frac{2}{3}$[/tex] | [tex]$-\frac{2}{3}$[/tex] | [tex]$\frac{2}{3}$[/tex] | | C | [tex]$\frac{1}{9}$[/tex] | [tex]$\frac{1}{9}$[/tex] | [tex]$\frac{7}{18}$[/tex] | [tex]$\frac{7}{18}$[/tex] | | D | 1 | 0 | 0 | 0 | | E | [tex]$\frac{1}{4}$[/tex] | [tex]$\frac{1}{4}$[/tex] | [tex]$\frac{1}{4}$[/tex] | [tex]$\frac{1}{8}$[/tex] | | F | [tex]$\frac{1}{21}$[/tex] | [tex]$\frac{1}{3}$[/tex] | [tex]$\frac{1}{3}$[/tex] | [tex]$\frac{2}{7}$[/tex]

📝 Answered - Factor completely $5 x(x+3)+6(x+3)$.

📝 Answered - Select the best answer for the question. Given the formula $D=A B C$, what is the formula for $C$? A. $C=A D \div C$ B. $C=D \div A B$ C. $C=A B \div D$ D. $C=A B D$

📝 Answered - Which represents the solution set of $5(x+5)<85$? A. $x<12$ B. $x>12$ C. $x<16$ D. $x>16$

📝 Answered - Resolver a) $\sqrt{25}-3 \cdot(3-2)$

📝 Answered - Which composition of transformations will create a pair of similar, not congruent triangles? A. a rotation, then a reflection B. a translation, then a rotation C. a reflection, then a translation D. a rotation, then a dilation

📝 Answered - Find the exact value, if any, of the following composition: [tex]$\sin ^{-1}\left(\sin \frac{3 \pi}{5}\right)$[/tex]

📝 Answered - Express 0.314 in scientific notation. [?] \times 10^{[?]} Enter the coefficient in the green box and the exponent in the yellow box. Coefficient (green) $\square$

📝 Answered - Prove that closed subsets of a locally compact space are locally compact.

📝 Answered - Sixty-nine wooden crates are delivered to a warehouse facility. The crates will be divided equally among three employees for storage. How many crates will each employee need to store? A) 13 B) 16 C) 19 D) 23 E) 26