If there is going to be a total lunar eclipse tonight, then you know that:
a) the Moon's phase is full.
b) the Moon's phase is new.
c) the Moon is unusually close to Earth.

Describe the mechanisms of local, neural, and hormonal control of blood flow. Identify the hormones that affect blood pressure and explain how they work.

College Students

Here is the distribution of U.S. college students classified by age and full-time or part-time status:

Let's compute the probability that a student is aged 15 to 19 , given that the student is full-time. We know that the probability that a student is full-time and aged 15 to 19 is 0.21 from the table of probabilities. But what we want here is a conditional probability, given that a student is full-time. Rather than asking about age among all students, we restrict our attention to the subpopulation of students who are full-time. Let

$$\begin{aligned} & A=\text { the student is a full-time student } \\ & B=\text { the student is between } 15 \text { and } 19 \text { years of age } \end{aligned}$$

Our formula is

$$P(B \mid A)=\frac{P(A \text { and } B)}{P(A)}$$

We read $P(A$ and $B)=0.21$ from the table as mentioned previously. What about $P(A)$ ? This is the probability that a student is full-time. Notice that there are four groups of students in our table that fit this description. To find the probability needed, we add the entries:

$$P(A)=0.21+0.32+0.10+0.05=0.68$$

We are now ready to complete the calculation of the conditional probability:

$$\begin{aligned} P(B \mid A) & =\frac{P(A \text { and } B)}{P(A)} \\ & =\frac{0.21}{0.68} \\ & =0.31 \end{aligned}$$

The probability that a student is 15 to 19 years of age, given that the student is fulltime, is 0.31 .

Find the conditional probability. Refer to the above Example What is the probability that a student is part-time, given that the student is 15 to 19 years old? Explain in your own words the difference between this calculation and the one that we did in the given above example.

Use the information given below to answer.

$R(3,3), S(-1,6)$, and $T(1,8)$ are the vertices of $\triangle R S T$, and $\overline{R X}$ is a median.

Determine the slope of $\overleftrightarrow{R X}$.

Sketch a graph of the function. (Include two full periods.) Use a graphing utility to verify your graph.

$$f(x)=\frac{5}{2} \sin \frac{1}{2} x$$

Determine whether the given function model exponential growth or decay. Identify the growth factor or decay factor. Then graph the exponential function.

$$f(x)=4^x$$

What is the polar form of the equation of the circle? The center of the circle is at (0,-1.5) and its radius is r=1.5. A. $r=-3 \sin \theta$ B. $r=-3 \cos \theta$ C. $r=-1.5 \sin \theta$ D. $r=-1.5 \cos \theta$

Circle the suffix; then identify the meaning, and define the term.

$$neural$$

$$\rule{12cm}{0.15mm}$$

In this exercise, give inequalities for r and $\theta$ which describe the following regions in polar coordinates.

Use the indicated substitution to evaluate the integral. Confirm your answer by differentiation.

$$\displaystyle\int \frac{9 r^2 d r}{\sqrt{1-r^3}}, u=1-r^3$$

The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is listed below. At $\alpha=0.01$, can you reject the dean's claim?

$$11.8 \quad 8.6 \quad12.6 \quad7.9\quad 6.4 \quad10.4 \quad13.6\quad 9.1$$

interpret the decision in the context of the original claim. Assume the population is normally distributed.

The overall process of photosynthesis is an anabolic reaction because____.

Locate the anterior and posterior body regions on yourself, your lab partner, and a human torso model.

The neural structure that most directly regulates eating, drinking, and body temperature is the
a. endocrine system.
b. hypothalamus.
c. hippocampus.
d. amygdala.