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(Exam 48 pts): This exam covers all sections discussed in Modules  5 & 6. This exam is in class on the date listed on the calendar.Before you start the exam:This exam assesses your knowledge and skills learned in Modules 5 & 6.This exam consists of 12 multiple-choice or free response questions.You will have a max of 40 minutes to complete the exam.You are allowed to use your scientific calculator. You are not allowed to use a mobile device with a calculator application.If formulas are needed for the exam questions, a formula list will appear with those questions. You will need to be able to select the correct formula from the list to solve each question.Additional Exam Policies:You may not reproduce any part of the exam anywhere, either by hard copy, text message, email, discussion board or any other new app/website available.You may not communicate in any way with any person (family member, neighbor, friend, previous/current student in the course, etc.) during the exam.If it is determined you have broken any of these policies, you will be given a zero on this exam.

If a material error is discovered in an accounting period subsequent to the period in which the error is made:

(3 points for the correct answer. 1 bonus point if you have correctly answered Questions 1 through 5.) A survey was conducted in a class of 50 students regarding the math and computer science courses they had taken prior to the current class. The results are as follows: (1) 30 students took Precalculus, (2) 18 students took Calculus, (3) 26 students took Data Mining, (4) 9 students took both Precalculus and Calculus, (5) 16 students took both Precalculus and Data Mining, (6) 47 students took at least one of the three courses, (7) 6 students took all three courses. How many students took both Calculus and Data mining? Hint: Consider the inclusion/exclusion rule for three sets: If A, B and C are any finite sets, then  

(1) How many ways can the letters of the word SKYWATCH be arranged in a row? [a1] (2) How many ways can the letters of the word SKYWATCH be arranged if the letters SKY must appear together in that order? [a2] (3) How many ways can the letters of the word SKYWATCH be arranged if the letters SKY must appear together but may be in any order? [a3] (Please enter each of your answers as an integer without comma or period.)

(1) How many ways can the letters of the word DRAGONFLY be arranged in a row? [a1] (2) How many ways can the letters of the word DRAGONFLY be arranged if the letters FLY must appear together in that order? [a2] (3) How many ways can the letters of the word DRAGONFLY be arranged if the letters FLY must appear together but may be in any order? [a3] (Please enter each of your answers as an integer without comma or period.)  

An identifier consists of 2 letters chosen from {x, y, z} followed by 4 digits from 0–9.  (1) How many identifiers are possible if letters and digits may repeat? [a1] (2) How many identifiers are possible if letters may repeat but digits may not repeat? [a2] (3) How many identifiers containing at least one repeated letter or repeated digit are possible? [a3] (Please fill each blank with an integer and without comma or period.)

(3 points for the correct answer. 1 bonus point if you have correctly answered Questions 1 through 5.) A survey was conducted in a class of 50 students regarding the math and computer science courses they had taken prior to the current class. The results are as follows: (1) 30 students took Precalculus, (2) 18 students took Calculus, (3) 26 students took Data Mining, (4) 8 students took both Calculus and Data Mining, (5) 16 students took both Precalculus and Data Mining, (6) 47 students took at least one of the three courses, (7) 7 students took all three courses. How many students took both Precalculus and Calculus? Hint: Consider the inclusion/exclusion rule for three sets: If A, B, and C are any finite sets, then  

Which property is the best for identifying most minerals? Why? 

Under traditional pricing approaches, product cost + profit = selling price.

In regards to the location of fibers in gray matter in the spinal cord, which of the following are incorrectly matched?