U.S. airlines average about 1.6 fatalities per month. ( Statistical Abstract of the United States: 2010 ). Assume that the probability distribution for x , the number of fatalities per month, can be approximated by a Poisson probability distribution. a. What is the probability that no fatalities will occur during any given month? b. What is the probability that one fatality will occur during any given month? c. Find E(x) and the standard deviation of x .

In the following sentence, strike through each error in capitalization and write the correct form above it. If the sentence contains no error in capitalization, write C after it.

Patricia is going to sign up for Calculus if the Algebra II class is full.

Thoreau was a poet as well as an essayist, and in Walden, he uses figurative language to express abstract concepts. Complete the chart by finding examples of such language. Use your completed chart to describe what you think Thoreau's use of figurative language adds to this essay.

In Exercises I through $22$, find the critical points of the given fianctions and classify each as a relative maximum, a relative minimum, or a saddle point. (Note: The algebra in Exercises $19$ through $22$ is challenging.)

$$f(x, y)=x^3-4 x y+y^3$$

In Exercise 3e, you graphed an inequality involving lines with the following equations.

$$2x+3y=12$$

$$2x+y=8$$

Use algebra to find the intersection of the two lines. Then check your result by testing the values of $x$ and $y$ in each equation.

Use a computer algebra system to find the maximum value of $\left|f^{\prime \prime}(x)\right|$ on the closed interval. (This value is used in the error estimate for the Trapezoidal Rule, as discussed in Section 4.3.)

$$f(x)=e^{-x^2 / 2}, \quad[0,1]$$

Algebra Two chords of a circle, $\overline{D E}$ and $\overline{F G}$, intersect at $C$ with segment lengths
$C D=3, C E=x+2, C F=6-x$, and $C G=5$. Write and solve an equation for $x$.

The $2003 ~Statistical ~Abstract ~of ~the ~United ~States$ reported the percentage of people $18$ years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of $.30.$

How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of $.02$? Use $95\%$ confidence.

Algebra In $\triangle P Q R, \angle S Q R \cong \angle S R Q, P Q>P R, \mathrm{~m} \angle P S R=(4 y+9)^{\circ}$ and $\mathrm{m} \angle Q S P=(6 y-24)^{\circ}$. Find the range of values for $y$.

Use a computer algebra system to (a) find or evaluate the integral and (b) graph two antiderivatives. (c) Describe the relationship between the graphs of the antiderivatives. $\int_{0}^{5} x^{4}\left(25-x^{2}\right)^{3 / 2} d x$

Evaluate the second derivative of the function at the given point. Use a computer algebra system to verify your result.
$h(x)=\dfrac{1}{9}(3 x+1)^3, \quad\left(1, \dfrac{64}{9}\right)$

You usually state the Distributive Property for number algebra in just one equation.

$$a(b+c)=ab+ac$$

Explain why the Distributive Property for matrices was stated in two equations. $A(B+C)=AB+AC$ and

$$(B+C)A=BA+CA$$

Underline each simple subject once and each simple predicate twice. Label each preposition $prep$., each direct object $d.o$., and each indirect object $i.o$.
Ms. Watkins asked Jenny an algebra question.

Slope Fields Use a computer algebra system to graph the slope field for the differential equation and graph the solution satisfying the specified initial condition.

$$\frac{dy}{dx}=\frac{10}{x \sqrt{x^2-1}},\ y(3)=0$$