Final Math Review

Question 1)

Determine whether the argument is valid or invalid?

If it rains or snows, then I cannot go for shopping

I’m going for shopping

Therefore It is neither raining nor snowing

Question 2)

Make equivalent statement for the following statement (Use De Morgan’s law)

1. If he is guilty, then he does not take a lie-detector test but he needs a lawyer
2. If it is snowing or the train is late, then I am not in class on time
3. If I’m leaving, then Tom is relieved or Sue is relieved
4. It is not true that, my plant turns yellow and I did not use fertilizer

Question 3)

Stations A records the body waves of an earthquake and find that the waves that arrive first come at a speed of 7 km/s and the second waves that follow immediately arrive at a speed of 4 km/s. The time delay between these wave arrivals is 10 seconds at the station A. Calculate the distance d of the epicenter from this measuring station.

Question 4)

Simplify

Question 5)

Express 0.039 as a quotient of integers

Question 6)

Write the following Babylonian numeral as a Hindu-Arabic numeral (If needed, please round your answer to zero decimal places)

< <       < < Ú        < ÚÚ       

Question 7)

You deposit $10,000 in an account that pays 4.5% interest compounded continuously.

1. Find the future value after one year.   A =  Pe^rt

• Determine the effective annual yield.  A =  P(1 + rt)

Question8)

Computation in Positional Systems

    6  3  1 _seven                  1   1  0  1 _two             3  0 0 2 _four                            5  3  4 _eight                       4) 3  2 2 _five

+  1  6  2 _seven               –      1  1  0            –     2 1 2                    ×           3

——————             ————–           —————–                    —————

×	0	1	2	3	4
0	0	0	0	0	0
1	0	1	2	3	4
2	0	2	4	11	13
3	0	3	11	14	22
4	0	4	13	22	31

Question 9)

Find the sample standard deviation on the following set (If needed, please round your answer to two decimal places)   

6, 7, 8, 12, 16, 17, 18

Question 10)

Compute r, the correlation coefficient, rounded to two decimal places:

Data set 1: 1, 6, 3, 8, 5

Data set 2: 2, 8, 4, 12, 5

Question 11)

Intelligence quotients (IQs) on the Stanford-Binet intelligence test are normally distributed with a mean of 100 and a standard deviation of 14.

• Find the percentage of people with IQs between 72 and 100
• Find the percentage of people with IQs above 142 

Question 12)

Write the following Mayan numeral as a Hindu-Arabic numeral (If needed, please round your answer to zero decimal places)

Equivalent of the Quantified Statements:

Negation of the Quantified Statement