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

Match the name of the sampling method descriptions given.

Accepted Answer

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: