When Lakeesha solved the equation from problem 6-54, she reasoned this way: "Since groups of equals 3 groups of , then I know that each group of must equal ." Do you agree with her reasoning? Explain. Hint (a): How can the result of Lakeesha's reasoning be written? Answer (b): Verify that your answer from problem 6-54 will make the equation you wrote in part (b) true. Hint (c):

How do you find the area of a triangle

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

You're locked out of your house. the only open window is on the second floor, 25 feet above the ground. there are bushes along the edge of the house, so you will need to place the ladder 10 feet from the house. what length ladder do you need to reach the window?