Two dog trainers teach dog to do tricks. One trainer gives her dog a food treat whenever the dog correctly performs the trick. The other trainer does not use treats. Which trainer will be more successful at dog training? Why?

Find the limits.

$$\lim _ { x \rightarrow + \infty } x e ^ { - x }$$

Tell whether the two ratios form a proportion. Explain.

$$\frac { 3 } { 4 } \text { and } \frac { 12 } { 15 }$$

Estimate each sum or difference. Explain how you determined your estimate. 3.77 + 1.39

Evaluate each function for the given input values. For g(x)=4x-9, find g(x) when x=3 and when x=5.

find the inverse of the matrix (if it exists). [-8 0 0 0 , 0 1 0 0 , 0 0 4 0 , 0 0 0 -5]

Choose the letter of the correct term or concept below to complete the sentence. a. personality b. contingencies of reinforcement c. trait d. defense mechanism e. inferiority complex f. self-actualization g. positive regard h. conditions of worth i. extravert j. introvert. According to Carl Rogers, people require __________, or approval, from other people in order to acquire a self.

The number of new home sales (in thousands) in the United States as of March 24, 2010, is given in the table below.

$$\left[\begin{array}{lllll} & \text{Northeast} & \text{Midwest} & \text{South} & \text{West} \\ \hline\text{Feb-Mar 2009} & 47 & 94 & 402 & 143\\ \text{April-Jun 2009} & 82 & 607 & 607 & 278\\ \text{Jul-Sep 2009} & 114 & 179 & 623 & 302\\ \text{Oct-Dec 2009} & 102 & 174 & 578 & 253\\ \text{Jan-Feb 2010} & 67 & 91 & 299 & 170 \end{array}\right]$$

Use the information in the table above. Round your answers to three decimal places. What is the probability a home selected at random was sold in the Midwest from Oct–Dec 2009?

Some skin creams claim that they are “pH balanced" and yet do not have a pH of 7. What do the manufacturers mean when they say “pH balanced"?

find the rational zeros of the function. h(x) = x^3 - 9x^2 + 20x - 12

Divide.

$$5 \overline{)64.5}$$

Solve each equation below for the indicated variable. Show all steps. a. Solve for x: 2x+22=12, b. Solve for y: 2x-y=3, c. Solve for x: 2x+15=2x-15, d. Solve for y: 6x+2y=10

About 41% of twelfth graders participated in school performing arts last year. A high school had 1800 students, one-fourth of which were twelfth graders. About how many twelfth graders participated in school performing arts?

(a) identify the claim and state

$$H _ { 0 }$$

and

$$H _ { a }$$

, (b) use technology to find the P-value, (c) decide whether to reject or fail to reject the null hypothesis, and (d) interpret the decision in the context of the original claim. Assume the population is normally distributed. A repair shop believes that people travel more than 3500 miles between oil changes. A random sample of 8 cars getting an oil change has a mean distance of 3375 miles since having an oil change with a standard deviation of 225 miles. At

$$\alpha = 0.05$$

, do you have enough evidence to support the shop’s claim?