The winner of a contest can choose any 3 of 7 different prizes. How many choices of 3 prizes are possible? 

A club has 8 females and 12 male members. If a 4-person committee is formed by random drawing from the 20 members, how many ways can a committee be formed with exactly 2 male and 2 female members? 

a. Fill in the sum of two dice table below: sum of dice.png b. Determine the probability that a sum of 3 or a sum of 7 is rolled? c. Determine the probability that you roll an odd sum or a sum of 5?

You purchase a raffle ticket to help charity. The raffle ticket costs $8. The charity is selling 200 tickets. One of them will be drawn and the person holding the ticket will be given a prize worth $350. Compute the expected value for this raffle. 

How many ways can a president, vice-president, secretary and treasurer be chosen from a club with 18 members?

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 5, 7}, B = {1, 3, 5, 7, 9} and C = {2, 4, 6}Part A) Find A∪BPart B) Find A∩BPart C) Find ACPart D) Find (A∪C)C

Word gets around if an officer is _______________ in one’s work, and one’s ability to serve is increased.  

For this quiz, you may use: https://matrixcalc.org/ Show all work, provide justifications when needed. Q1. Let   (6 points) (a) Find a basis for Col(A) (b) Find a basis for Nul(A) (c) Find a basis for Row(A) = Col(AT) Q2. Chose any vector   in Nul(A) and verify (this means compute the product)   (2 points) Q3. Chose any vector in Col(A) and verify  that    (2 points) Q4. Explain why we get the result we do in Q3 (you could state a Theorem if you know one, but I am suggesting use the fact that matrix multiplication is a linear transformation together with properties of linear transformations).  (2 points) Q5. What is the rank of the matrix A?  (1 point) Q6. What is the dimension of Col (A) ? (1 point) Q7. What is the dimension of Nul (A)?  (1 point) Q8. Suppose A is an

*BONUS QUESTIONS* Each point is worth 2 points.  1) Name two relevant facts, statistics, data points, etc. that you learned from chapters 1 – 7 that was not covered on the midterm. (2 quality sentences minimum per point = 4 sentences total as the minimum) 

“I have cold feet” is an example of: