Apply the graphing strategy and summarize the pertinent information. Round any approximate values to two decimal places. $f(x)=0.25 x^{4}-5 x^{3}+31 x^{2}-70 x$

Use the general factoring strategy to completely factor each polynomial. If the polynomial does not factor, then state that it is nonf actor able over the integers.

$$2 x^6-2$$

Use the general factoring strategy to completely factor each polynomial. If the polynomial does not factor, then state that it is nonfactorable over the integers.

$$12 a x^2-23 a x y+10 a y^2$$

Use the five-step strategy for solving word problems to find the number or numbers. One number exceeds another by 26. The sum of the numbers is 64. What are the numbers?

(Character Testing) Write a program that inputs a character from the keyboard and tests it with each of the functions in the character-handling library. The program should print the value returned by each function.

In general, males score higher than females on tests of a. spelling. b. verbal fluency. c. emotion detection. d. spatial ability. e. sensitivity to touch, taste, and odour.

Use the five-step strategy for solving word problems to find the number or numbers described. When 60% of a number is added to the number, the result is 192. What is the number?

Use the five-step strategy for solving word problems.

After a $20 \%$ price reduction, a cordless phone sold for $\$ 48$. What was the phone's price before the reduction?

Using the answer line provided, complete item below with the correct word from the box. Use word once.

A. aberration

B. composure

C. congenital

D. elusive

E. extol

F. formidable

G. inscrutable

H. precocious

I. trepidation

J. virulent

That little boy's good nature is _____; he's been smiling since the day he was born.

Based on data from the 2010 U.S. Census, the percent of residents aged 65 or older in the 50 states and the District of Columbia has mean 13.26% and standard deviation 1.67%. The standardized score for Florida is z=2.60. Find the percent of the state's residents that were 65 or older.

Identify each underlined phrase or clause in the sentences below by writing above it $E$ for essential or $NE$ for nonessential. Insert commas where they are needed.

Example 1. The coconut, $\underline{\text{which is a remarkable gift of nature}}$ grows on palm trees.

7. I would like to have some cups and bowls $\underline{\text{that are made from shells}}$.

Let $X_1, . . . , X_n$ be i.i.d. with mean $\mu$, variance $\sigma^2$, and MGF $M$. Let

$$Z _ { n } = \sqrt { n } ( \frac { \overline { X } _ { n } - \mu } { \sigma } )$$

(a) Show that $Z_n$ is a standardized quantity, i.e., it has mean 0 and variance 1. (b) Find the MGF of $Z_n$ in terms of $M$, the MGF of each $X_j$ .

The perimeter of a triangle is 37 feet. The length of the first side is Standardized Test Practice 4 more than the length of the second side. The length of the third side is equal to the length of the second side. Find the length of each side. Then classify the triangle by its side lengths.

Walden Pond is now a state reservation where thousands swim, fish, and hike each year. Some people believe that overuse is destroying Walden Pond and that the area should be made into a limited-use nature preserve. Others say that Walden should remain freely accessible to everyone. Research the current condition of Walden Pond and hold a debate on this issue.