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An urn contains10 balls of equal size but distinguishable only by colour. 5 of the balls are blue, 3 are red and 2 are green. If a ball is selected at random, what is the probability that it will be a white ball?
If the probability that it may rain tomorrow is 2/5, what is the probability that it may not rain?
When a coin is tossed 5 times, how many possible outcomes are expected to be listed in the sample space?
How many different permutations can be made from the letters in the word “CHICHARITO”?
Gross domestic product?
A coin is flipped and a die is rolled. Find the probability of getting a tail on the coin and a 3 on the die.
• Do the calculations on Matlab, print it out and then write your answers on the attached answer
sheet.
• Attach your Matlab printout to your answer sheet before you hand in.
1. Find all solutions for each of the following systems of equations (if the system is consistent):
(a) 6.5x − 2y = 7 (b) 3.5x1 + 4.5x2 + 5.5x3 = 11
2x − 0.75y = 1.75 x1 + 4x2 − 7x3 = −16
12x − y = 21 0.5x1 − 0.75x2 + 0.75x3 = 3.5
(c) − 0.75x1 + 0.75x2 = −6
2.5x1 + 2x2 − 4.5x3 = 2
1.25x1 + 1.25x2 − 2.5x3 = 0
(d) 3.4x1 + 3.4x2 − 15.3x3 = −20.4
0.5x1 + 0.25x2 − 0.75x3 = 1
0.75x1 + 0.5x2 − 1.5x3 = 1
Please note: You should use Matlab to write your systems in reduced row echelon form, but have to
interpret the results and give the solution(s) if the system is consistent.
Determine the unique solution of the following differential equations by using Laplace transforms:
y''(t) + 2y'(t) -3y(t) = e-3t if y'(0) = 0 and y(0) = 0
Determine the unique solution of the following differential equations by using Laplace transforms:
y''(t)-6y'(t)+9y(t) = t2e3t if y'(0) = 6 and y(0) = 2
given a stock bottle of 500 mL of 6M HCL What is the new concentration of the acid if it is diluted to a total volume of 750 mL
#340153 on Dec 2023