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Q:
The annual rainfall in a certain region is approximately normally distributed with mean 42.6 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 44 inches? b) What percentage of years will have an annual rainfall of more than 40 inches? c) What percentage of years will have an annual rainfall of between 39 inches and 43 inches? Question Help: \( \quad \) Read Video
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\( B^{T}A-BX^{T}=2C^{-1}+3I \)
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1) \( \left(7 x^{4}-10 x^{5}\right)^{2} \)
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Calcola la lunghezza di una circoner tro 8 cm , approssimando \( \pi \) ai centesimi.
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\( 1.1(x-1)^{2}=\sqrt{16} \) \( 1.2 x^{2}-5 x=14 \) (correct to two decimal places) \( 1.3 \quad x-2=\sqrt{8-x} \) \( 1.4 \quad x^{2}+5 x<-6 \) \( 1.5 \quad(\sqrt{81})^{x+1}=81^{2 x} \) \( 1.6 \quad \) If \( \frac{3}{2} \) is one root of the equation \( b x^{2}-x=3 \), determine \( b \) and the other root.
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for \( x \) in each: \( \begin{array}{l}(x-1)^{2}=\sqrt{16} \\ 3 x^{2}-5 x=14 \text { (correct to two decimal } \\ x-2=\sqrt{8-x} \\ x^{2}+5 x<-6 \\ (\sqrt{81})^{x+1}=81^{2 x} \\ \text { If } \frac{3}{2} \text { is one root of the equation } b x^{2}-x=\end{array} \).
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A variable \( x \) is normally distributed with mean 22 and standard deviation 3. Round your answers to the nearest hundredth as needed. a) Determine the \( z \)-score for \( x=27 \). b) Determine the \( z \)-score for \( x=20 \). c) What value of \( x \) has a \( z \)-score of 2.33 ? d) What value of \( x \) has a \( z \)-score of -0.3 ? \( x= \) e) What value of \( x \) has a \( z \)-score of 0 ?
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5 State which consecutive whole numbers are either side of: \( \begin{array}{llll}\text { a } \sqrt{29} & \text { b } \sqrt{40} \\ \text { e } \sqrt{85} & \text { f } \sqrt{103} & \text { o } & \sqrt{71}\end{array} \)
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e) N.A. 9) La suma de los tres términos de una resta es 6858 y el sustraendo es la tercera parte del minuendo. Hallar la diferencia:
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Factorize the following fully \( \begin{array}{l}\text { 1.3.1 } 2 y^{2}+6 y-3 x y-9 x \\ \text { 1.3.2. } x^{6}-64\end{array} \)
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