What is the chance that the next person I meet will be different from me? The diversity index, from 0 (no diversity) to 100, measures the chance that two randomly selected people are of a different race or ethnicity. The diversity index in the United States varies widely from region to region, from as high as 81 in Hawaii to as low as 11 in Vermont. The bar graph at the top of the next column shows the national diversity index for the United States for four years the period from 1980 through 2010.

The data in the graph can be modeled by the formula

$$D=0.7 x+34 \text {, }$$

where $D$ is the national diversity index for the United States $x$ years after 1980.

How well does the formula model the national diversity index for 2010?

If you left a board lying on the grass for a few days, what would happen to the grass underneath the board? Why?

Write the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal.

$$\frac{4}{12}=$$

A sample of 250 observations is selected from a normal population for which the population standard deviation is known to be 25. The sample mean is 20. a. Determine the standard error of the mean. b. Explain why we can use formula to determine the 95 percent confidence interval. c. Determine the 95 percent confidence interval for the population mean

Use Stokes’ Theorem to evaluate

$$\mathbf{F}(x,y,z)=(x+y^2-2)\mathbf{i}+2xy\mathbf{j}+(x^2+yz^2)\mathbf{k};$$

S is the part of the paraboloid z = 4 - x squared - y squared above the xy-plane with an outward normal

Look at the following statement:
numbers = [10, 20, 30, 40, 50]
a. How many elements does the list have?
b. What is the index of the first element in the list?
c. What is the index of the last element in the list?

What is the product of two squared and two to the sixth power? express using exponents.

$_____________________$ causes muscle spasms that constrict the bronchioles.

Approximately how many oxygen molecules arrive each second at the mitochondrion of an active person with a mass of $84 \mathrm{~kg}$ ? The following data are available: Oxygen consumption is about $40 . \mathrm{mL}$ of $\mathrm{O}_2$ per minute per kilogram of body weight, measured at $T=300 .\ \mathrm{K}$ and $P=1.00 \mathrm{~atm}$. In an adult there are about $1.6 \times 10^{10}$ cells per kg body mass. Each cell contains about 800 . mitochondria.

Infection that weakens the heart muscle is called _______.

Use a graphing utility to approximate (rounded to two decimal places) the local maximum value and local minimum value of $f(x)=x^{3}-2 x^{2}-4 x+5,$ for -3 < x < 3.

Water permeability of concrete can be measured by letting water flow across the surface and determining the amount lost (in inches per hour). Suppose that the permeability index x for a randomly selected concrete specimen of a particular type is normally distributed with mean value 1000 and standard deviation 150. a. How likely is it that a single randomly selected specimen will have a permeability index between 850 and 1300? b. If the permeability index is to be determined for each specimen in a random sample of size 10, how likely is it that the sample mean permeability index will be between 950 and 1100? between 850 and 1300?

Major home appliances purchased in the United States are labeled with bright yellow "Energy Guide" ${ }^{\mathrm{N}}$ tags showing anticipated energy consumption. The tag on a recently purchased washing machine indicated the anticipated energy use would be $940 \mathrm{~kW}$-h per yeas. Calculate the anticipated annual energy use in kilojoules. (See Question 20 for a definition of kilowatt-hour.) At 8 cents/kW-h, how much would it cost per month to operate this machine?

Deflections of diving boards A diver stands at the very end of a diving board before beginning a dive. The deflection $d$ of the board at a position $s$ feet from the stationary end is given by $d=c s^2(3 L-s)$ for $0 \leq s \leq L$, where $L$ is the length of the board and $c$ is a positive constant that depends on the weight of the diver and on the physical properties of the board (see the figure). Suppose the board is $10$ feet long.

If the deflection at the end of the board is $1 \mathrm{foot}$, find $c$.