**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)

- If he is guilty, then he does not take a lie-detector test but he needs a lawyer
- If it is snowing or the train is late, then I am not in class on time
- If I’m leaving, then Tom is relieved or Sue is relieved
- 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.

- 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**

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