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A study during COVID-19 pandemic at a public institution in Michigan showed that 72% of the students take online classes, 18% take Hybrid classes, and 10% take both teaching modalities. What is the probability a randomly selected student will be taking online classes given that he/she is taking hybrid classes? Question 7Answer a. 0.139 b. 0.280 c. 0.556 d. 0.130

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How many of the billion numbers in the integer interval Œ1::109 contain the digit 1? (Hint: How many don’t?)

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(1) Wed Thu Fri Sat Revision. Date: $ -1-120 $ \[ A=\left[\begin{array}{lll} 1 & 2 & 3 \\ 2 & 5 & 3 \\ 1 & 0 & 8 \end{array}\right] \] Find \[ A^{-1} \quad \begin{array}{ll} R_{2}-2 R_{1} \\ R_{3}-R_{1} \end{array} \] \[ \begin{aligned} A^{-1} & =\left[\begin{array}{ccc|ccc} 1 & 2 & 3 & 1 & 0 & 0 \\ 2 & 5 & 3 & 0 & 1 & 0 \\ 1 & 0 & 8 & 0 & 0 & 1 \end{array}\right] \\ & =\left[\begin{array}{ccc|ccc} 1 & 2 & 3 & 1 & 0 & 0 \\ 0 & 1 & -3 & -2 & 1 & 0 \\ 0 & -2 & 5 & -1 & 0 \end{array}\right] \\ & =\left[\begin{array}{ccc|ccc} 1 & 2 & 3 & 1 & 0 & 0 \\ 0 & 1 & -3 & -2 & 1 & 0 \\ 0 & 0 & -1 & -5 & 2 & 1 \end{array}\right] \\ & =\left[\begin{array}{lllllll} 1 & 0 & 9 & 5 & -2 & 0 \\ 0 & 1 & -3 & -2 & 1 & 0 \\ 0 & 0 & -1 & -5 & 2 & 1 \end{array}\right] \end{aligned} \] \[ =[1 \]

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Question 9 of 20: Select the best answer for the question. 9. The interior of a metal wireway can contain many conductors provided that the conductor volume doesn't exceed what percentage of the wireway's cross-sectional area? A. 10 percent B. 40 percent C. 20 percent D. 30 percent

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A 5-card poker hand is monochromatic if all cards are the same color; it is a flush if all cards are the same suit. How many hands are either a flush or monochromatic?

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Manually calculate the powers, focal lengths, and radii for a 10-inch EFL f/5 achromat. Use the F, d, C spectrum. Use BK7 and SF2 Schott glasses. (Index and dispersion values can also be found by clicking on the "GLA" button and looking up the Schott catalog.) Insert the thin lens (zero thickness) into ZEMAX and verify the calculated powers, the EFL, and the color correction.

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Show that the empirical autocovariance function of a stationary stochastic process \begin{equation} \hat{\gamma}(h) = \frac{1}{T} \sum_{t=1}^{T-h} (y_{t+h} - \bar{y})(y_t - \bar{y}), \quad h \in \mathbb{Z}^+ \end{equation}

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(7pts. + 3 pts. = 10 pts.) A 515 mm bar of 25 x 45 mm rectangular cross section consists of two aluminum outer layers, each 10 mm thick, brazed to a center brass layer of 5 mm thickness as shown in the figure 1 below. The bar is subjected to centric forces of magnitude P = 75 kN. Given that for Aluminum, $E_{AL}$ = 70 GPa and for Brass, $E_{Brass}$ = 105 GPa. a) Determine the normal stress in the aluminum layers. b) Determine the deformation in the brass layer.

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Compare and contrast the standard and the itemized deductions? Why does the IRS have both types of deductions and what are the advantages of each?

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Problem 6 The frequency response of a linear time-invariant filter is given by the formula $H(\omega) = (1 - e^{-j\omega})(1 - e^{-j\frac{\pi}{3}})/(1 - e^{-j\frac{2\pi}{3}}e^{j\omega})$. (a) Write the difference equation that gives the relation between the input $x[n]$ and the output $y[n]$. (b) What is the output if the input is $x[n] = \delta[n]$? (c) If the input is of the form $x[n] = Ae^{j\omega n}$, for what values of $-\pi \le \omega < \pi$ will $y[n] = 0$ for all n?

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charles g.