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Questions in mathematics
📝 Answered - A scientist calculated the mean and standard deviation of a data set to be [tex]$\mu=120$[/tex] and [tex]$\sigma=9$[/tex]. She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?
📝 Answered - The price of a table is y Naira, and the price of a chair is 1/3 of the table. If a customer pays 28,000 Naira for the two items, find the price of the table and chair.
📝 Answered - Which relation is a direct variation that contains the ordered pair $(2,7)$? $y=4 x-1$ $y=\frac{7}{x}$ $y=\frac{2}{7} x$ $y=\frac{7}{2} x$
📝 Answered - Which of the following is a composite number? A. 29 B. 13 C. 139 D. 91
📝 Answered - Recall that $|x-1|<5$ can be written as $-5
📝 Answered - What is the simplified form of the following expression? Assume [tex]y \neq 0[/tex]. [tex]\sqrt[3]{\frac{12 x^2}{16 y}}[/tex] A. [tex]\frac{2\left(\sqrt[3]{6 x^2 y^2}\right)}{y}[/tex] B. [tex]\frac{\sqrt[3]{12 x^2 y}}{2 y}[/tex] C. [tex]\frac{x(\sqrt[3]{3 y})}{2 y}[/tex]
📝 Answered - Dallas, Austin, and Houston, Texas form a triangle. The angle at Dallas measures 43°. The angle at Austin measures 83°. The angle at Houston measures 54°. Between which two cities is the distance the greatest?
📝 Answered - A regular octagon is inscribed in a circle of radius 8 cm. Find its perimeter (in cm).
📝 Answered - Which recursive formula can be used to generate the sequence shown, where [tex]f(1)=9.6[/tex] and [tex]n \geq 1[/tex]? [tex]9.6,-4.8,2.4,-1.2,0.6, \ldots[/tex] A. [tex]f(n+1)=(-0.5) f(n)[/tex] B. [tex]f(n+1)=(0.5) f(n)[/tex] C. [tex]f(n+1)=f(0.5 n)[/tex] D. [tex]f(n+1)=f(-0.5 n)[/tex]
📝 Answered - If the range of [tex]f(x)=\sqrt{m x}[/tex] and the range of [tex]g(x)=m \sqrt{x}[/tex] are the same, which statement is true about the value of [tex]m[/tex]? A. [tex]m[/tex] can only equal 1. B. [tex]m[/tex] can be any positive real number. C. [tex]m[/tex] can be any negative real number. D. [tex]m[/tex] can be any real number.
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