Cumulative Exam Answers

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.zProbability0.000.50000.500.69151.000.84132.000.97723.000.9987

The fifth term of a geometric sequence is 781.25. Each term of the sequence is of the value of the following term. Which recursive formula represents the situation?

Based on the type of equations in the system, what is the greatest possible number of solutions?

If , what is the value of c?

What are the domain and range of f(x) = 2(3x)?

Which of the following probabilities is the greatest for a standard normal distribution?

Jalen solved the equation by graphing. Which graph can Jalen use to show his solution?

If , what are the first three terms of the sequence defined by the recursive formula below?

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which mileage is within a z-score of -1.5?

Which expression is equivalent to cos120°?

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

Which equation is represented by the graph below?

Given that , what is the value of ?

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

The scores of a high school entrance exam are approximately normally distributed with a given mean = 82.4 and standard deviation = 3.3. What percentage of the scores are between 75.8 and 89?

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:

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

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .

Which system is equivalent to ?

What is the value of y in the sequence below?

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

Which of the following is true regarding the solution to the logarithmic equation below?

The height of the equilateral triangle below is 15 units. What is the value of x?

What is sum of the geometric series ?

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

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12, ....?

Which of the following shows the true solution to the logarithmic equation

For which value of is csc () undefined?

What is the value of ?

In the triangle below, represents which ratio?

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.

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?

A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

What is the value of given the diagram below?

Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag: blue, red, yellow, white, and black. She decided that blue is the winning color. If a player chooses any other color, they lose 2 points. How many points should the blue marble be worth for the game to be fair?

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?

Which transformations are needed to change the parent sine function to ?

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?

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.

What is the solution of ?

For what value of x does ?

What is the common difference in the following arithmetic sequence?

What is the equation of the graph below?

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?