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

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

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:

$$97\%$$

A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use $\alpha=.01$.

$$\begin{array}{lcccccccc} \hline & \text { Truck 1 } & \text { Truck 2 } & \text { Truck 3 } & \text { Truck 4 } & \text { Truck 5 } & \text { Truck 6 } & \text { Truck 7 } & \text { Truck 8 } \\ \hline \text { Entry failures } & 43 & 45 & 53 & 56 & 61 & 51 & 48 & 44 \\ \text { Exit failures } & 48 & 51 & 60 & 58 & 58 & 45 & 55 & 50 \\ \hline \end{array}$$

Name the first three trophic levels. Among the consumers, which are most abundant? Use the "10% law" to explain why you would predict that there will be greater biomass of plants than herbivores in an ecosystem.

Your ears can accommodate a huge range of sound levels. What is the ratio of highest to lowest intensity at $100 \mathrm{~Hz}$ ? (See Fig. 16-6.).

Find the one false statement in the following choices. Choose T if the statement is True. Choose F if the statement is False. LO 8.18, 8.A

High levels of immunoglobulins are in breast milk. T F

The minimum and maximum sound levels at a rock concert are 90 decibels and 95 decibcls. Which equation models this situation?

(A) $|x-90|=5$

(B) $|x-92.5|=2.5$

(C) $|x-92.5|=5$

(D) $|x-9.5|=2.5$

a. Plot the $I-V$ characteristics of a $1 \Omega, 100 \Omega$, and $1000 \Omega$ resistor on the same graph. Use a horizontal axis of $0$ to $100 \mathrm{~V}$ and a vertical axis of $0$ to $100 \mathrm{~A}$. b. Comment on the steepness of a curve with increasing levels of resistance.

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:

$$99\%$$

Factor each of the following expressions to obtain a product of sums: (a) A′B′ + A′CD + A′DE′ (b) H′I′ + JK (c) A′BC + A′B′C + CD′ (d) A′B′ + (CD′ + E) (e) A′B′C + B′CD′ + EF′ (f) WX′Y + W′X′ + W′Y′

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:

$$80\%$$

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) $Z=\left(a^{\prime}+b^{\prime}+e+f\right)\left(c^{\prime}+a^{\prime}+b\right)\left(d^{\prime}+a^{\prime}+b\right)(g+h)$

The NMOS transistors in the circuit of Fig. P5.50 have $V_i=0.5 \mathrm{~V}, \mu_{\mathrm{n}} C_{\mathrm{ex}}=250 \mu \mathrm{A} / \mathrm{V}^2, \lambda=0$, and $L_1=L_2=$ $0.25 \mu \mathrm{m}$. Find the required values of gate width for each of $Q_1$ and $Q_2$, and the value of $R$, to obtain the voltage and current values indicated.

List the 5-tuples in the relation in the table:

Airline, Flight_number, Gate, Destination, Departure_time Nadir, 122, 34, Detroit, 08:10 Acme, 221, 22, Denver, 08:17 Acme, 122, 33, Anchorage, 08:22 Acme, 323, 34, Honolulu, 08:30 Nadir, 199, 13, Detroit, 08:47 Acme, 222, 22, Denver, 09:10 Nadir, 322, 34, Detroit, 09:44