Cumulative Exam — Cumulative exam Answers

Two students created a game of dice. They determined that each roll would add the value of the die if it was an odd number. If the roll was even, it would subtract the value of the die. (For example, a roll of 2 would subtract two points, but a roll of 3 would add three points.) What is the expected value for this game?

What is the following sum?

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

What is the solution of ?

What is the simplified form of the following expression?

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?

Which survey is most likely affected by bias?

As the weight of purchased items increases, the shipping charges increase, as shown in the table below.Weight, in ozTotal Shipping Costnot more than 5$9.50more than 5, not more than 10$13.25more than 10, not more than 15$17.00more than 15, not more than 20$20.75Assuming only positive domain values, which statement is true of the graph that represents the total cost, y, in dollars for shipping items that weigh x ounces?

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

What is the solution of ?

Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50 students in her graduating class and found the average score to be 529. She thinks that her class’s math SAT score is different from the average. Which of the following shows the correct z-statistic for this situation?

David is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?

What are the domain and range of f(x) = |x + 6|?

What is the value of ?

Which graph shows this set of transformations applied to the parent cosine function? l A reflection across the x-axis l A shift of 2 units up l A vertical compression by a factor of 0.5

A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula .

In the diagram below, = . What is the value of m?

A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between which two amounts would you expect 95% of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1