Give an example to show that the stated case can occur. The product of two irrational numbers may be a rational number.

Determine whether the statement is true or false. If the statement is false, rewrite it as a true statement.

In two-way ANOVA, the results can be difficult to interpret if the design is unbalanced.

A true-or-false quiz contains four questions. Design and describe a simulation you could use to find the probability of guessing three questions correctly.

Use Definition 2.4 .4 or 2.4 .5 to prove that the stated limit is correct.

$$\lim _{x \rightarrow 3} \frac{-1}{(x-3)^2}=-\infty$$

(I) The predominant frequency of a certain fire truck's siren is $1350 \mathrm{~Hz}$ when at rest. What frequency do you detect if you move with a speed of $30.0 \mathrm{~m} / \mathrm{s}(a)$ toward the fire truck, and $(b)$ away from it?

Capitalize important words in the title of a visual.
Do not capitalize prepositions, articles, or conjunctions shorter than five letters in a title, unless they are the first or last word of the title. Capitalize the first word of a subtitle following a colon.
Grades at a Glance
Capitalize each of the following visual titles.
distribution of income across the population: the united states from $1900$ to $2000$

Express each probability as a fraction reduced to lowest terms. A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of rolling. a number greater than 20.

Find t such that $0 \leq t \leq \pi$ and t satisfies the stated condition.

$$\cos t=\cos (-\pi / 6)$$

Find the LCD for each group of fractions. $\frac{3}{8}, \frac{2}{5}$

Write a program that randomly fills in 0s and 1s into a 4-by-4 matrix, prints the matrix, and finds the first row and column with the most 1s. Here is a sample run of the program: 0011 0011 1101 1010 The largest row index: 2 The largest column index: 2

When California applied for statehood in 1850, Mississippi senator Jefferson Davis warned, "For the first time, we are about permanently to destroy the balance of power between the sections." Why might Davis have felt this way?

Assume that the shortest person in your group is 1 unit tall and do the following:
a. Find rational numbers to approximately represent the heights of other members of the group.
b. Make a number line and plot the rational number for each person ordered according to height.

Identify the normal balance (debit or credit) for each of the following accounts.

f. Prepaid Rent

If the demand curve is a line, we can write p=b+mq, where p is the price of the product, q is the quantity sold at that price, and b and m are constants. (b) Find the marginal revenue function.