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Questions in mathematics

📝 Answered - If 1 = 5, 2 = 25, what is 9?

📝 Answered - Solve the system by substitution. Check your solution. [tex]\begin{array}{l} y=0.8 x+7.2 \\ 20 x+32 y=48 \end{array}[/tex] a. (8,-6) b. (5,11) c. (-4,4) d. (-10,2)

📝 Answered - Simplify the expression: [tex]$\sqrt[4]{16 x^8 y^4} \div \sqrt[3]{8 x^6 y^3}$[/tex]

📝 Answered - Round to 2 significant figures. 0.000231

📝 Answered - Nora's father gives her $100 as her monthly allowance. (a) If she spends an average of $3 each day, find the amount of money she is left with after (i) 2 days, (ii) 5 days, (b) Given that $y$ represents the amount of money Nora has left after $x$ days, copy and complete the table. | x | 2 | 5 | 10 | |---|---|---|----| | y | | | | (c) On a sheet of graph paper, using a scale of 2 cm to represent 5 days on the horizontal axis and 1 cm to represent $10 on the vertical axis, plot the pairs of values of $(x, y)$.

📝 Answered - The ageing year of 50 teachers. $\begin{array}{llllllllll} 21 & 37 & 49 & 27 & 49 & 42 & 26 & 33 & 46 & 40 \ 50 & 29 & 23 & 24 & 29 & 31 & 36 & 22 & 27 & 38 \ 31 & 26 & 42 & 39 & 34 & 23 & 21 & 32 & 41 & 46 \ 46 & 21 & 33 & 29 & 28 & 43 & 47 & 40 & 34 & 44 \ 26 & 38 & 34 & 49 & 45 & 27 & 25 & 33 & 39 & 40 \end{array}$ a. Form a frequency distribution table for the data using the interval of $21=25,26-30.31-35 \ldots$ b. Calculate the mode, mean, and median. c. Calculate the variance and standard deviation.

📝 Answered - Write the equation of a line that passes through $(\frac{1}{3}, 7)$ and is parallel to $y=3 x-4$.

📝 Answered - Enter Game FIN - K. Play Blooket I Blooket opts and Connections CR Dir 01:59:00 ind Statistics \begin{tabular}{|l|l|l|l|l|} \hline & x & Y & 2 & Total \\ \hline A & 10 & 80 & 61 & 151 \\ \hline B & 110 & 44 & 126 & 280 \\ \hline C & 60 & 59 & 110 & 229 \\ \hline Total & 180 & 183 & 297 & 660 \\ \hline \end{tabular} Which statement is true about whether Z and B are independent events? A. Z and B are not independent events because [tex]P( Z \mid B ) \neq P( Z )[/tex]. B. Z and B are independent events because [tex]P( Z \mid B )=P( Z )[/tex]. C. Z and B are independent events because [tex]P( Z \mid B )=P(B)[/tex]. D. Z and B are not independent events because [tex]P( Z \mid B ) \neq P(B)[/tex].

📝 Answered - True or False? The incenter of a triangle is the center of the only circle that can be circumscribed about it. A. True B. False

📝 Answered - Looking at this table of sample means, which value is the best estimate of the mean of the population? | Sample | Sample Mean | |---|---| | 1 | 16.8 | | 2 | 12.3 | | 3 | 19.0 | | 4 | 17.5 | | 5 | 18.2 | | 6 | 17.5 | A. 11.0 B. 12.3 C. 17.3 D. 20.9