Suppose that two numbers in signed two’s-complement form have been added. $S_1$ is the sign bit of the first number, $S_2$ is the sign bit of the second number, and $S_T$ is the sign bit of the total. Suppose that we want a logic circuit with output E that is high if either overflow or underflow has occurred; otherwise, E is to remain low. 1. Write the truth table. 2. Find an SOP expression composed of minterms for E. 3. Draw a circuit that yields E, using AND, OR, and NOT gates.

A social skills training program, reported in Psychology in the School, was implemented for seven students with mild handicaps in a study to determine whether the program caused improvement in pre/post measures and behavior ratings. For one such test, these are the pretest and posttest scores for the seven students:

Student, Pretest, Posttest Earl, 101, 113 Ned, 89, 89 Jasper, 112, 121 Charlie, 105, 99 Tom, 90, 104 Susie, 91, 94 Lori, 89, 99

a. Draw a scatterplot relating the posttest score to the pretest score. b. Describe the relationships between pretest and posttest scores using the graph in part a. Do you see any trend? c. Calculate the correlation coefficient and interpret its value. Does it reinforce any relationship that was apparent from the scatterplot? Explain.

Name the integer that matches each letter on the number line: N

Simplify each rational expression, if possible.

$$\frac { 2 x - 4 } { x ^ { 2 } - 6 x + 8 }$$

Find an equation of the given plane. The plane containing the points (1, -2, 1), (2, -1, 0) and (3, -2, 2)

What benefit does the spearthrower "pass on" to other female athletes?

Solve. $\frac { x } { 5 } - 4 > 9$

Solve the equation using square roots. $( x - 4 ) ^ { 2 } = 0$

State whether each statement is true or false and briefly explain why. If the statement is false, try to “fix it” by modifying the given statement to a new statement that is true. If a function is continuous on every line through (a, b), then it is continuous at (a, b).

Carbon-14 is a useful dating tool for specimens between 500 and 25,000 years old, such as ancient manuscripts and artifacts. Carbon-14’s half-life is 5730 years. Use the decay function

$$N _ { t } = N _ { 0 } e ^ { - k t }$$

to determine how much of 10 grams of carbon -14 will remain after 1000 years.

Use appropriate substitutions to express the trigonometric integrals in terms of compositions with logarithms. $\int \frac{x \sin \left(x^{2}\right)}{\cos \left(x^{2}\right)} d x$

Complete each statement.

$$? \ \mathrm { mi } = 1,760 \mathrm { ft }$$

To find the percent of an element in a compound (1) divide the atomic mass of the element by its atomic number x 100% (2) divide the total mass of an element by the total mass of the compound x 100% (3) multiply the atomic mass of the element by the total mass of the compound x 100% (4) multiply the atomic mass of the elements by their subscripts x 100%

Compare:

$$\text { one tenth } \bigcirc \text { ten hundredths }$$