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Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.

Simplify the following expression:
(2-3y)+(6+8y)

Simplify the following expression:
${\displaystyle -5+i+9-6i}$

Simplify the following expression:
$(2-3y)+(6+8y)$

Given two integers. What can you claim about them, when their quotient is:
1. Positive?
2. Negative?
3. =0?

Factor
1) $-36m+16$
2) $-21a+35$
3) $-30n-10$
4) $30x+70$

Simplify the expression:
${\displaystyle \frac{1}{-3+i}}$

David drives to school in rush hour traffic and averages 32 mph. He returns home in mid-afternoon when there is less traffic and averages 48 mph. What is the distance between his home and school if the total traveling time is 1 hr 15 min?

Rationalize the expression:
${\displaystyle {\left(4xy\right)}^{-1}}$

There's a roll with 40 coins. A coin officially weighs 5g. The actual weight may be 0.194g off. The roll itself weighs 1.5g. What is the range of possible wights for the roll?

In a gymnastics competition, Paiges

Dani says she is thinking of a secret number. As a clue, she says the number is the least whole number that has three different prime factors. What is Dani's secret number? What is its prime factorization?

Studies indicate that drinking water supplied by some old lead-lined city piping systems may contain harmful levels of lead. Based on data presented by Karalekas and colleagues,it appears that the distribution of lead content readings for individual water specimens has mean $.033mg/L$ and standard deviation $.10mg/L$. Explain why it is obvious that the lead content readings are not normally distributed.

Interpreting z-scores: Complete the following statements using your knowledge about z-scores.
a. If the data is weight, the z-score for someone who is overweight would be
-positive
-negative
-zero
b. If the data is IQ test scores, an individual with a negative z-score would have a
-high IQ
-low IQ
-average IQ
c. If the data is time spent watching TV, an individual with a z-score of zero would
-watch very little TV
-watch a lot of TV
-watch the average amount of TV
d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be
-positive
-negative
-zero

A ferry boat transports tourists among three islands. It sails from the first island to the second island, 4.42 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 80.5° west of north. Finally it returns to the first island, sailing in a direction 28.0° east of south. (a) Calculate the distance between the second and third islands. km (b) Calculate the distance between the first and third islands.

Range Rule of Thumb for Interpreting s The 20 brain volumes $(c{m}^3)$ from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of $1126.0c{m}^3$ and a standard deviation of $124.9c{m}^3$ . Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of $1440c{m}^3$ be significantly high?

Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is $y=-0.79x+98.8$.
Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852
(a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27 hours (per week) is 77.47.
(b) Is it reasonable to use this line of best fit to make the above prediction?
Select the correct answer below:
1.The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable.
2.The estimate, a predicted time of 77.47 minutes, is reliable but unreasonable.
3.The estimate, a predicted time of 77.47 minutes, is both unreliable and unreasonable.
4.The estimate, a predicted time of 77.47 minutes, is both reliable and reasonable.

This is from a recent news article about a study on children using drugs: “The researchers analyzed the data to estimate the average age at first-time use for 18 internationally regulated drugs for each year included in the study. Looking at year-to-year trends, they found that the average age at first use had increased for 12 out of 18 drugs, including alcohol, cocaine, ecstasy, hallucinogens, heroin, inhalants, LSD, marijuana, stimulants, and tobacco products such as cigars, cigarettes and smokeless tobacco. For the other six drugs— crack cocaine, methamphetamines, opioids, PCP, sedatives, and tranquilizers—they found no statistically significant changes in the age at first use.”

A soldier on a firing range fires an 8-shot burst from an assault weapon at a full automatic rate of 1000 rounds per minute. Each bullet has a mass of 7.42 g and a speed of 291 m/s relative to the ground as it leaves the barrel of the weapon.
Calculate the average recoil force exerted on the weapon during that burst.