Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

Because either there is life on Mars or there is not, the probability of life on Mars is $0.5$.

Where do you encounter microelectromechanical systems in daily life?

In this exercise, illustrate the indicated angle in standard position.

$$-180^{\circ}$$

What beliefs and ways of life shape the religious traditions of Islam?

What contributions to medieval life were made by monks and nuns?

For this exercise, you will find the slope of the line through $P$ and $Q$.

$P(2,2), Q(-10,0)$

Give an answer for the following exercise.

The $y$-intercept of $f(x)=x^2-2 x+3$ is __________.

The pilot of a rescue helicopter is flying over the ocean at an altitude of 1250 ft. The pilot sees a life raft at an angle of depression of $31^{\circ}.$ What is the horizontal distance from the helicopter to the life raft, rounded to the nearest foot?

Use the figures from the previous item to answer the following:

Use the expression in the previous part to find the perimeter of the 35th figure.

Circle the correct answer: Which structure is present in a eukaryotic cell but not in a prokaryotic cell? nucleus, cell wall, cell membrane

Why does the plant cell need both a cell wall and a cell membrane?

When 30 transistors were simultaneously put on a life test that was to be terminated when the 10th failure occurred, the observed failure times were (in hours) 4.1, 7.3, 13.2, 18.8, 24.5, 30.8, 38.1, 45.5, 53, 62.2. Assume an exponential life distribution. (a) What is the maximum likelihood estimate of the mean life of a transistor? (b) Compute a 95 percent two-sided confidence interval for the mean life of a transistor. (c) Determine a value c that we can assert, with 95 percent confidence, is less than the mean transistor life. (d) Test at the $\alpha=.10$ level of significance the hypothesis that the mean lifetime is 7.5 hours versus the alternative that it is not 7.5 hours.

Relate cell size to cell functions, and explain why cell size is limited.

Design an experiment, using radioactive carbon and the heavy isotope of nitrogen $\left({ }^{15} \mathrm{~N}_2\right)$, that would test whether the rhizobia-pea plant interaction is mutualistic.