Cumulative Exam — Cumulative exam Answers

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?

What is written as a single logarithm?

The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

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?

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

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 value of ?

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?

Which of the following is a valid probability distribution?

Which is an x-intercept of the graph of the function ?

To produce the graph of the function , what transformations should be applied to the graph of the parent function ?

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?

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

Which of the following is the inverse of ?

What is the true solution to

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?

For what value of x does ?

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