A box contains N identical gas molecules equally divided between its two halves. For N = 200, what is the percentage of the time the system spends in the central configuration?

Draw the Lewis structure, and then specify the electron-pair and molecular geometries for each of the following molecules or ions. Identify the hybridization of the central atom.\

$$\mathrm{XeF}_4$$

Describe the hybrid orbitals used by the central atom(s) and the type(s) of bonds formed in
(b) $\mathrm{CH}_3 \mathrm{C} \equiv \mathrm{CH}$;

(a) For each data set, find the median, midrange, and geometric mean. (b) Are they reasonable measures of central tendency? Explain.

Class absences ($12$ students) $\quad 0,0,0,0,0,1,2,3,3,5,5,15$

What is the angular half-width (from central maximum to first minimum) of a diffracted beam for a slit width of (a) $\lambda$; (b) $5 \lambda$; (c) $10 \lambda$ ?

These exercises involve the formula for the area of a circular sector. The area of a sector of a circle with a central angle of

$$140 ^ { \circ }$$

is

$$70 \mathrm { m } ^ { 2 }$$

. Find the radius of the circle.

Explain in what way this statement makes sense: "If a central bank wants to achieve lower nominal interest rates, it has to raise the nominal interest rate?"

What is the electron-pair and molecular geometry around the central $\mathrm{S}$ atom in thionyl chloride, $\mathrm{SOCl}_2$ ? What is the hybridization of sulfur in this compound?

Sketch the resonance structures for the $N _2 O$ molecule. Is the hybridization of the $N$ atoms the same or different in each structure? Describe the orbitals involved in bond formation by the central $N$ atom.

Find the area of each sector given its central angle $\theta$ and the radius of the circle. Round to the nearest tenth. $\theta=54^{\circ}, r=6$

Prove that the area of a circular sector of radius r with central angle $\theta$ is $A=\frac{1}{2} r^{2} \theta,$ where $\theta$ is measured in radians.

A sector on a pie chart with a central angle of $45^{\circ}$ corresponds to what percentage of the data? (A) 8%, (B) 12.5%, (C) 15%, (D) 25%, (E) 45%.

For a double-slit configuration where the slit separation is four times the slit width, how many interference fringes lie in the central peak of the diffraction pattern?

Circle the BEST answer.
A person with a cataract
a Has cloudy, blurry, or dim vision
b Loses central vision
c Has eye pain
d Is blind