Who Wants To Be A Millionaire - Math Version #2

15 Points Per Correct Answer - No time limit  

1. $100: 3,453,899 x 0 = ? 3,453,899 0 1 infinity

2. $200: If x = 3 then 2x = ? 2/3 3 6 1/6

3. $300: Which of the following numbers is between 1/5 and 1/4? 0.21 0.19 0.15 0.26

4. $500: A bag contains 3 blue marbles and 2 red marbles. What is the percentage of blue marbles in the bag? 40 percent 75 percent 33 1/3 percent 60 percent

5. $1,000: If two angles of a triangle sum to 150 degrees, what is the measurement of the third angle? 30 degrees 150 degrees 60 degrees 210 degrees

6. $2,000: What is the derivative of (2x - 3)^2 with respect to x? 2(2x - 3) 8x - 3 (2x - 3)/4 4(2x - 3)

7. $4,000: What kind of a shape would you have if you graphed (x^2)/25 + (y^2)/4 = 1? parabola circle ellipse hyperbola

8. $8,000: (3,60 degrees) in polar coordinates equals what in rectangular coordinates? (2.6, 1.5) (1.5, -2.6) (-1.5, 2.6) (1.5, 2.6)

9. $16,000: What is the value of i^160, where i is an imaginary number? 1 -1 i -i

10. $32,000: What is the magnitude of the vector 15i-12j+16k? 19 25 43 53.66

11. $64,000: In a Poisson distribution, if the variance equals 9, then what is twice the mean less one standard deviation, equal to? 3 12 9 15

12. $125,000: What is the accumulated value of $500 invested for 5 years at 6 percent per annum, convertible monthly? $674.43 $512.63 $669.11 $530.84

13. $250,000: Find the volume of the solid generated by revolving the region between the curves y = x^2 and y = x^3 about the y-axis. pi/10 pi/20 10pi 20pi

14. $500,000: It is known that all items produced by a certain machine will be defective with probability 0.2, independently of each other. What is the probability that in a sample of three items, at most one will be defective? 0.384 0.480 0.924 0.896

15. $1,000,000: A farmer has observed that the amount of rainfall in a month can be modeled as follows: i)The probability of rain in any day is 0.10. ii) The daily amounts of rain are mutually independent. iii) If rain occurs on a given day, the amount of rain has a gamma distribution with mean 0.50 and variance 0.50. If S is the total rainfall in a month of 30 days, what is the variance of S? 7.5 3.125 1.5 2.175