What impact did the Protestant Reformation have on society in the sixteenth century?

Suppose you plan to roll two number cubes and are interested in the sum of the two numbers rolled. You can simulate an outcome using two random digits—each digit represents an outcome for one of the cubes. - Using the same assignment of digits described above (ignoring 0, 7, 8 and 9), use the following sequence of random digits to obtain 17 simulated outcomes. - Then use the simulated outcomes to estimate the probability that the sum will be less than or equal to 5.

$$\begin{matrix} \text{1} & \text{6} & \text{7} & \text{1} & \text{5} & \text{1} & \text{2} & \text{2} & \text{6} & \text{4}\\ \text{5} & \text{4} & \text{5} & \text{7} & \text{3} & \text{6} & \text{7} & \text{9} & \text{0} & \text{8}\\ \text{0} & \text{1} & \text{8} & \text{8} & \text{1} & \text{6} & \text{6} & \text{8} & \text{8} & \text{0}\\ \text{3} & \text{9} & \text{0} & \text{3} & \text{6} & \text{8} & \text{0} & \text{9} & \text{0} & \text{7}\\ \text{9} & \text{6} & \text{6} & \text{0} & \text{2} & \text{8} & \text{6} & \text{7} & \text{2} & \text{4}\\ \text{4} & \text{1} & \text{4} & \text{2} & \text{4} & \text{1} & \text{8} & \text{4} & \text{5} & \text{7}\\ \end{matrix}$$

How did the Industrial Revolution affect human population growth?

A thin slit illuminated by light of frequency f produces its first dark band at $\pm 38.2^{\circ}$ in air. When the entire apparatus (slit, screen, and space in between) is immersed in an unknown transparent liquid, the slit’s first dark bands occur instead at $\pm 21.6^{\circ}$. Find the refractive index of the liquid.

How did the Reformation affect European society?

Use double integrals to compute the area of the following regions. Make a sketch of the region. The region in the first quadrant bounded by y=

$$x^2$$

, y=5x+6, and y=6-x

Liquid butane $(C_4H_{10})$ is stored in cylinders to be used as a fuel. The normal boiling point of butane is listed as $- 0.5 ^ { \circ } C$ Suppose the valve to the tank is opened and a few liters of butane are allowed to escape rapidly. What do you expect would happen to the temperature of the remaining liquid butane in the tank? Explain.

Use a mapping diagram to show a relation that is not a function.

Which function dominates as $x \rightarrow \infty ? \quad \sqrt {x}$ or ln x

State whether the sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence. The expressions

$$2 + \sqrt{5}$$

and

$$\underline{2 - \sqrt{5}}$$

are conjugates.

By the tenth century, sea routes were becoming more important than land networks for long-distance trade because of improved technology in navigation and ship construction.

a. true

b. false

Divide, and then simplify, if possible.

$$\frac { 18 } { 7 } \div \frac { 54 } { 35 }$$

What major impact did the protestant reformation have on the catholic church?

What was the social and cultural impact of World War I?