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Mat 157 - Math for Elementary Students Exam - Week 4 Chapter 9 sections 4,5 &6, Chapter 10 100 points - 5 points each no partial credit Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the odds. 1) When a single card is drawn from an ordinary 52-card deck, find the odds in favor of getting the 1) __D____ 4 of spades. A) 1 : 51 B) 1 : 13 C) 1 : 12 D) 1 : 52 2) 2) ___B___ Given that P(A) = A) 2 : 1 , what are the odds against A occurring? B) 3 : 1 C) 4 : 1 D) 1 : 3 Solve the problem. 3) What is the expected value of one of 700 tickets in a raffle for a prize of $ 1400? A) $ 1 B) $ 1.50 C) $2 D) $2.50 3) ___C___ Determine whether the situation calls for a discrete or continuous random variable. 4) The cost of a randomly selected orange A) Discrete B) Continuous 4) __A____ 5) The pH level in a shampoo A) Discrete 5) ___B___ B) Continuous Solve the problem. 6) How many different ways can a teacher line up 5 students for lunch? A) 24 B) 720 C) 120 6) ___C___ D) 5 7) There are 6 contestants in a singing competition. How many different ways can first, second, and third place be awarded? A) 216 B) 18 C) 120 D) 20 7) __C____ 8) There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible? A) 6 B) 512 C) 56 D) 336 8) ___C___ Provide an appropriate response. 9) List the first seven terms of the Fibonacci sequence. A) 1, 1, 3, 4, 7, 11, 18 B) 1, 2, 3, 5, 8, 13, 21 C) 1, 1, 2, 3, 5, 8, 13 D) 1, 2, 4, 6, 10, 16, 26 9) __C____ 10) Which basic geometric idea is suggested by a spoke in a bicycle wheel: a ray, a line, a line segment, or an angle? A) Ray B) Line C) Line segment D) Angle 10) __C___ 11) True or false? Any two concurrent lines are coplanar. A) True B) False 11) __A___ 12) Which point of concurrency in a triangle is sometimes called the center of gravity of the triangle? A) circumcenter B) centroid C) incenter D) orthocenter 12) __B___ Refer to the figure and provide an appropriate name for the indicated angle(s). 13) ∠6 and ∠7 A) Right angle C) Complementary angles B) Supplementary angles D) Alternate interior angles 14) ∠5 A) Obtuse angle C) Acute angle 13) ___C__ 14) ___D__ B) Vertical angle Solve the problem. 15) What is the angle sum of a regular polygon with 7 sides? A) 450° B) 1350° C) 900° D) Right angle 15) __C___ D) 1260° Provide an appropriate response. 16) True or false? A quadrilateral can have more than one acute interior angle. A) True B) False Determine whether the statement is always true, sometimes true, or never true. 17) If the three sides of a triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent. A) Always true B) Sometimes true C) Never true Provide an appropriate response. 18) Choose the word "rectangle," "square," or "rhombus" to fill in the blank and make the statement true. (If none of the words can be used, then write "none.") 16) ___A__ 17) __A___ A parallelogram is a _________ if and only if its diagonals are congruent 18)__C___ . A) square B) rhombus C) rectangle D) none 19) Choose the word "rectangle," "square," or "rhombus" to fill in the blank and make the statement true. (If none of the words can be used, then write "none.") 19) __A___ A quadrilateral is a _________ if and only if all of its sides are congruent and its diagonals are congruent. A) square B) rhombus C) rectangle D) none 20) Does the following condition ensure that a quadrilateral is a parallelogram? Both pairs of opposite sides are congruent. A) Yes B) No 20) __A___