Q: Match the name of the sampling method descriptions given.

The matching of the sampling method descriptions is as follows: Situations ask all the students in your math class, dividing the population by Gender, and choosing 30 people of each gender: d. Stratified Call every 15th phone number on every 5th page of the phone book: a. Systematic Dividing the population by voting precinct and sampling everyone in the precincts selected: c. Cluster Number every name on a list and use a random number generator to select the first 50 numbers: b. Simple Random Sampling Method: e. Convenience Stratified sampling involves dividing the population into subgroups (in this case, by gender) and then selecting a sample from each subgroup. Systematic sampling involves selecting every kth element from a population, where k is a constant interval (in this case, every 15th phone number on every 5th page). Cluster sampling involves dividing the population into clusters (in this case, voting precincts) and selecting all individuals within randomly chosen clusters. Simple random sampling involves randomly selecting individuals from the population using a random number generator. Convenience sampling involves selecting individuals based on their convenient availability or accessibility rather than using a random or structured method. Learn more about Stratified sampling here:

Q: Which is the decimal expansion of 7/22? - 0.318 (all repeated)

The correct answer is: $0.3181818\ldots$ (i.e. $0.3\overline{18}$). Explanation Let $x=0.3181818\ldots$. Then$$100x=31.8181818\ldots$$Subtract:$$100x-x=31.8181818\ldots-0.3181818\ldots$$$$99x=31.5$$$$x=\frac{31.5}{99}=\frac{315}{990}=\frac{7}{22}.$$ Note: the repeating block is "18" (after the initial 3). The form $0.\overline{318}$ is different (it equals $106/333$), so it is not equal to $7/22$.

Q: How Many Inches Are in 5 Feet?

The correct answer is: $60\text{ in}$ Explanation One foot equals 12 inches, so to convert feet to inches you multiply by 12. Steps: First step: $$1\text{ ft} = 12\text{ in}$$ Second step: $$5\text{ ft}\times 12\frac{\text{in}}{\text{ft}} = 60\text{ in}$$ Final step: $$5\text{ ft} = 60\text{ in}$$ Therefore, 5 feet equals 60 inches.

Q: How many feet are in 72 inches?

The correct answer is:$6\text{ ft}$ Explanation We convert inches to feet using the fact that 1 foot equals 12 inches. Divide the total inches by 12 to get feet. Steps: First step: $$1\text{ ft} = 12\text{ in}$$ Second step: $$\frac{72\text{ in}}{12\text{ in/ft}} = 6\text{ ft}$$ Final step: Therefore, $72$ inches equals $6$ feet.

Q: 750 ml is how many liters?

The correct answer is: $0.75\text{ L}$ Explanation You convert milliliters to liters knowing that $1\text{ L} = 1000\text{ mL}$. Divide the milliliters by 1000 to get liters. Steps: Relationship: $1\text{ L} = 1000\text{ mL}$ Convert: $$\frac{750}{1000} = 0.75$$ Include units: $0.75\text{ L}$ Therefore, 750 mL equals $0.75\text{ L}$.

Question

Which option best completes the table?

Accepted Answer

The option that best completes the table about the United Nations is A: Is funded only by voluntary dues. This reflects the UN's reliance on member contributions based on their economic size. The United Nations focuses on global cooperation, peace, and security rather than military enforcement or direct trade promotion.

Explanation

To complete the table about the United Nations, the option that best fits is A. Is funded only by voluntary dues. Here's why:

Funding: The United Nations is primarily supported through contributions from its member states. These contributions are based on the size of each country's economy.

Purpose: The UN aims to maintain international peace and security by promoting cooperation on critical global issues. This involves various functions like peacekeeping and humanitarian assistance.

Authority: The UN does not have the power to enforce international laws in the same way a government might; its resolutions are not mandatory unless countries agree to them.

Military Power: It does not maintain a military force of its own; rather, it relies on member states to contribute troops for peacekeeping missions.

Trade Promotion: While the UN does support efforts for international trade and economic development, its main focus is on peace and security, human rights, and humanitarian assistance, rather than directly promoting trade.

Given this context, option A makes the most sense as it accurately reflects the UN's funding structure.

Therefore, the correct answer is option A.

Examples & Evedience

An example of the UN's funding is that the United States is one of the largest contributors, paying dues relative to its economy. Other nations also contribute varying amounts based on their financial capabilities.

The UN's funding structure is outlined in its financial policies, which state that all member states are expected to contribute dues based on their Gross National Income, which is an established practice in international organizations.