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Find each of the location location z score or z value of P99 percentile points under the normal curve

Use Huffman coding to encode these symbols with given frequencies:

a: 0.20, b: 0.10, c: 0.15, d: 0.25, e: 0.30.

What is the average number of bits required to encode a character?

(12 Marks)



Write an algorithm to finds the largest of the number a, b and c.


corresponding area of z 0 and z 1.74


60% of a certain species of tomato live after transplanting from pot to garden. Eli transplants 16 of these tomato plants in a garden each month. Assume that the plants live independently of each other. Let X equals the number of tomato plants that live each month.

Find

1) the mean of X. (Give your answer to 1 decimal place.)

2) the standard deviation of X. (Give your answer to 2 decimal places.)


What are the solutions that a nation can adopt to reduce unemployment

Determine all possible ratios for the following balanced chemical equations.



3Fe(s)+4H2O(l) Fe3O4(s)+ 4H2(g)

Two cards are drawn from a deck. How many possible value following variables take? 1. sum of the numbers on the cards 2. number of times both cards are black 3. Number of times both cards are 7s 4. Number of times the first card is six and the second card is red 5. Number of times the first card is face card and the second card is not a face card

3 Zn + 2 MoO3 → Mo2O3 + 3 ZnO


a. How many grams of ZnO can be formed when 20 g of MoO3 reacts with 20 g of Zn?








b. Identify the limiting reagent and excess.



c. How many grams of the other product can be produced?




d. Draw a picture of the system.



Illustrate and explain how equilibrium is determined in an oligopoly market structure.


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