Which reasoning process is shown in the following example? Explain your answer. All books by Stephen King have made the best-seller list. Therefore, it is highly probable that the novel King is currently working on will make the best-seller list.

A cog system on the beginning segment of a roller coaster needs to get 25 occupied cars up a 100-m vertical rise over a time interval of 60 s. Each car experiences a gravitational force of 5670 N. The cars start at rest and end up moving at 0.50 m/s. (a) How much work is done by the cog system on the cars? (b) What average power must the cog system supply? (c) What would happen to the amount of work done by the cog system if the cars had to be lifted the same distance in 30 s?

Which reasoning process is shown in the following example? Explain your answer. All mammals are warm-blooded animals. No snakes are warm-blooded. I have a pet snake. We conclude that my pet snake cannot be a mammal.

Which reaso ning process is shown in the following example? Explain your answer. All books by Stephen King have made the best-seller list. Carrie is a novel by Stephen King. Therefore , Carrie was on the best-seller list.

Use inductive reasoning to predict the next three numbers or figures in the pattern. 4, -8, 16, -32, ...

Distinguish between the three different types of yeast doughs.

How might diamonds purchased in Europe fuel political and social instability in West Africa?

A number can have more than one factor tree. Can it have more than one prime factorization? Explain.

Choose the best answers to complete the sentences or to answer the following questions. The discovery of oil has attracted large numbers of migrants to the Arabian Peninsula from _________ A. the United States B. Europe C. South Asia D. East Asia

Suppose U = {0,1,2,3,4,5,6}, A = {2,4,6}, and B = {1,2,3}. Tell whether each statement is true or false. Explain your reasoning.

$$B \subseteq A$$

Forty randomly selected students were asked about the number of pairs of sneakers they owned. Let $X=$ be the number of pairs of sneakers owned. The results are as follows:

$$\begin{array}{|l|l|} \hline \boldsymbol{X} & \text { Frequency } \\ \hline 1 & 2 \\ \hline 2 & 5 \\ \hline 3 & 8 \\ \hline 4 & 12 \\ \hline 5 & 12 \\ \hline 6 & 0 \\ \hline 7 & 1 \\ \hline \end{array}$$

Find the sample standard deviation, $s$

What is the predominant type of natural vegetation found in Central America?

Identify a pattern in the following sequence of figures. Then use the pattern to find the next figure in the sequence.

$$\triangle, \bigcirc, \Box, \triangle, \bigcirc, \_\_\_\_\_\_\_\_$$

Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the Table.

$$\begin{array}{|l|l|l|} \hline \text { \# of books } & \text { Freq. } & \text { Rel. Freq. } \\ \hline 0 & 18 & \\ \hline 1 & 24 & \\ \hline 2 & 24 & \\ \hline 3 & 22 & \\ \hline 4 & 15 & \\ \hline 5 & 10 & \\ \hline 7 & 5 & \\ \hline 9 & 1 & \\ \hline \end{array}$$

Examine the shape of the data. Which part, a or $\mathrm{c}$, of this question gives a more appropriate result for this data?