Find a minimum four-level NAND- or NOR-gate circuit to realize (a) $Z=a b e^{\prime} f+c^{\prime} e^{\prime} f+d^{\prime} e^{\prime} f+g h$ (b) $Z=\left(a^{\prime}+b^{\prime}+e+f\right)\left(c^{\prime}+a^{\prime}+b\right)\left(d^{\prime}+a^{\prime}+b\right)(g+h)$

Find the z-values needed to calculate one-sided confidence bounds for the confidence levels given in the exercise. A $98 \%$ confidence bound

Your ears can accommodate a huge range of sound levels. What is the ratio of highest to lowest intensity at $5000 \mathrm{~Hz}$ ? (See Fig. 16-6.)

The pancreas

$$\textbf{\ \ a.}\text{ secretes insulin.}$$

$$\textbf{\ \ b.}\text{ secretes glucagon.}$$

$$\textbf{\ \ c.}\text{ helps regulate blood glucose levels.}$$

$$\textbf{\ \ d.}\text{ all of the above.}$$

Find $z_{\alpha 2}$ for each of the following confidence levels used in estimating the population mean.

a. $89 \%$

b. $92 \%$

c. $96 \%$

Suppose that, for a sample of size $n=100$ measurements, we find that $\bar{x}=50$. Assuming that $\sigma$ equals $2$, calculate confidence intervals for the population mean $\mu$ with the following confidence levels:

$$80\%$$

Realize each of the following functions as a minimum two-level NAND-gate circuit and as a minimum two-level NOR-gate circuit. (a) $F(A, B, C, D)=B D^{\prime}+B^{\prime} C D+A^{\prime} B C+A^{\prime} B C^{\prime} D+B^{\prime} D^{\prime}$ (b) $f(a, b, c, d)=\Pi M(0,1,7,9,10,13) \cdot \Pi D(2,6,14,15)$ (c) $f(a, b, c, d)=\Sigma m(0,2,5,10)+\Sigma d(3,6,9,13,14,15)$ (d) $F(A, B, C, D, E)=\Sigma m(0,2,4,5,11,14,16,17,18,22,23,25,26,31)+\Sigma d(3,19,20,27,28)$ (e) $F(A, B, C, D, E)=\Pi M(3,4,8,9,10,11,12,13,14,16,19,22,25,27)\Pi D(17,18,28,29)$ (f) $f(a, b, c, d)=\Pi M(1,3,10,11,13,14,15) \cdot \Pi D(4,6)$ (g) $f(w, x, y, z)=\Sigma m(1,2,4,6,8,9,11,12,13)+\Sigma d(0,7,10,15)$

According to the First Law of Air Travel, for each situation below, will the distance to your gate be greater or less for this trip than for your last trip?

You have less luggage.

A solid cylinder is released from rest and rolls without slipping down a $4.0^{\circ}$ incline. Two photogates are connected to a timer that measures the elapsed time for the ball to roll between them. If the first gate is $1.00 \mathrm{~m}$ from the starting point and the second is $0.20 \mathrm{~m}$ past the first, what will the timer read?

Referring to the datasheet , determine the following: (a) typical $V_{\mathrm{GS} \text { (off) }}$ for the $2 \mathrm{~N} 3796$ (b) maximum drain-to-source voltage for the $2 \mathrm{~N} 3797$ (c) maximum power dissipation for the $2 \mathrm{~N} 3797$ at an ambient temperature of $25^{\circ} \mathrm{C}$ (d) maximum gate-to-source voltage for the $2 \mathrm{~N} 3797$

Showing concentrations of a contaminant, purposely unnamed here, in groundwater, to shade in areas where there is contamination. Use darker shades for higher levels of contamination

Suppose that, for a sample of size $n=100$ measurements, we find that $\bar{x}=50$. Assuming that $\sigma$ equals $2$, calculate confidence intervals for the population mean $\mu$ with the following confidence levels:

$$99.73\%$$

Find $z_{\alpha 2}$ for each of the following confidence levels used in estimating the population mean.

a. $90 \%$

b. $98 \%$

c. $88 \%$

Find a minimum two-level, multiple-output AND-OR gate circuit to realize these functions (eight gates minimum).

$$\begin{array}{l} f_{1}(a, b, c, d)=\Sigma m(10,11,12,15)+\Sigma d(4,8,14) \\ f_{2}(a, b, c, d)=\Sigma m(0,4,8,9)+\Sigma d(1,10,12) \\ f_{3}(a, b, c, d)=\Sigma m(4,11,13,14,15)+\Sigma d(5,9,12) \end{array}$$