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Questions in mathematics

[Terjawab] Which statement is true? The equation $-3|2 x+1.2|=-1$ has no solution. The equation $3.5|6 x-2|=3.5$ has one solution. The equation $5|-3.1 x+6.9|=-3.5$ has two solutions. The equation $-0.3|3+8 x|=0.9$ has no solution.

[Terjawab] Calculate $\frac{8}{5} \times 3$. Give your answer as a fraction in its lowest terms.

[Terjawab] Circle [tex]$C$[/tex] is centered at the origin. If [tex]$Q(10,0)$[/tex] lies on circle [tex]$C$[/tex], which of the following points also lies on circle [tex]$C$[/tex]? A. [tex]$(4,5 \sqrt{3})$[/tex] B. [tex]$(5,5 \sqrt{3})$[/tex] C. [tex]$(3, \sqrt{34})$[/tex] D. [tex]$(6,4)$[/tex]

[Terjawab] Find the mixed number equivalent to the improper fraction below. A. $2 \frac{5}{10}$ B. $2 \frac{4}{10}$ C. $2 \frac{3}{10}$ D. $2 \frac{2}{10}$

[Terjawab] A taste test asks people from Texas and California which pasta they prefer, brand $A$ or brand $B$. This table shows the results. | | Brand A | Brand B | Total | |---|---|---|---| | Texas | 80 | 45 | 125 | | California | 96 | 54 | 150 | | Total | 176 | 99 | 275 | A person is randomly selected from those tested. Are being from California and preferring brand B independent events? Why or why not? A. No, they are not independent because $P(\text{California})=0.55$ and $P(\text{California}|\text{brand }B)=0.36$. B. Yes, they are independent because $P(\text{California}) \approx 0.55$ and $P(\text{California}|\text{brand }B)=0.55$. C. No, they are not independent because $P(\text{California})=0.55$ and $P(\text{California} \mid \text{brand }B)=0.55$. D. Yes, they are independent because $P(\text{California})=0.55$ and $P(\text{California}|\text{brand }B) \approx 0.36$.

[Terjawab] Solve $567 \times 1000$ A) 5670 B) 567,000 C) 56,700 D) $5,670,000$

[Terjawab] A student bought \(\frac{4}{3}\) m of yellow ribbon, \(\frac{1}{6}\) m of red ribbon, and \(\frac{2}{3}\) m of blue ribbon for decorating a room. How many metres of ribbon did he buy?

[Terjawab] (a) It was reported that 70,000 fans attended a football game. If this number of football fans was rounded off to the nearest ten thousand, what is: (i) The least number of fans that could have attended? (ii) The greatest number of fans that could have attended?

[Terjawab] Write the number represented by the given longs and units, one at a time. Write the missing numbers. 1) 210, 211, 212, ____, 214 2) 248, 249, ____, 251, 252 3) 267, 268, 269, 270, ____ 4) 286, ____, 288, 289, 290 5) 295, 296, ____, 298, 299, ____

[Terjawab] Select the correct answer. Consider this absolute value function: [tex]f(x)=|x+3|[/tex]. If function [tex]f[/tex] is written as a piecewise function, which piece will it include? A. [tex]-x+3, x\ \textless \ -3[/tex] B. [tex]x+3, x \geq-3[/tex] C. [tex]-x-3, x\ \textless \ 3[/tex] D. [tex]x+3, x \geq 3[/tex]