Dadpad & Co:
6. Which planet in the Solar System is closest in size to Earth
venus
8. What do the initials "PVC" stand for
Polyvinylchloride
9. What is an Ishihara test used for
color blindness
10. What is the most common blood type in humans
O positive
Tie Break: What is the atomic number of the element Californium
98
Mark:
7. What is the sum of the internal angles in a hexagon
720
SPACECRAFT
beyond Saturn
Good answer, poorly worded question.
Somewhat less than one Light-day
The planetary exploration missions Pioneer and Voyager have barely traveled beyond our Solar System. These are the fastest spacecraft ever launched from Earth. Even these spacecraft will take a very long time to travel one light-year. We don't have the knowledge or technology to send space probes or manned craft to even the nearest stars!
NASA hopes to continue to receive data from Voyager 1 and 2 through year 2014, when the electrical power on-board is expected to begin to run out.
SUBSQUARES
n^3 / 3 + n^2 / 2 + n /6
I have it as:
You can form n^2 unit squares.
You can form (n-1)^2 2 by 2 squares.
You can form (n-2)^2 3 by 3 squares.
You can form (n-3)^2 4 by 4 squares.
. . . You can form 1^2 n by n square.
The sum of all these sums is n*(n+1)*(2n+1)/6
SIXTEEN NUMBERS
There are C(16,3)=560 ways to draw three numbers (without replacement).
Six can be made as 2+2+2 or 1+2+3.
There are C(5,3)=10 ways to make 2+2+2
There are 6*5*5=150 ways to make 1+2+3
Answer = 160/560 = 2/7

/
This was a bit tricky and I initially thought the answer was 1/16 or 6.2% but you are right, it is really 2/7 or 28.6%.
Either rolling '2 2 2' or some combination of '1 2 3' adds up to be 6. The chances of getting '2 2 2' are 5/16 (5 2s out of 16) times 4/15 (4 2s left out of 15) times 3/14 (3 2s left out of 14). This is 5/16 * 4/15 * 3/14 which equals 1/56.
The chances of getting some combination of '1 2 3' is equal to 6/16 (6 1s in the list) times 5/15 (5 2s out of 15 numbers left) times 5/14 (5 3s out of 14 numbers left) times the number of different combinations of '1 2 3' which is 6. This is 6/16 * 5/15 * 5/14 * 6 which equals 15/56.
1/56 + 15/56 = 16/56 or 2/7 or ~28.6%.
There are two envelopes in front of you each with a non-zero number. You will receive an amount of money equal to the final envelope you choose. You are informed one has twice as much money as the other. You are then allowed to select either envelope.
After you select one and before opening it, you are given the option to change your mind and switch to the other one. You think to yourself that if your envelope has x dollars there is a 50% chance the other one has x/2 dollars and a 50% chance it has 2x dollars.
The expected return, you compute, is .5[.5x + 2x]=1.25x which seems like a favorable gamble. Do you switch
Assume you are neither risk averse nor risk prone, in other words you will take any good gamble and avoid any bad one.
HELP im stumped
Which color light has the highest frequency
green
violet
red
yellow
What is the general name for a solution that produces positive ions and has a pH of 0 to 7
What is measured by all of the following: miles, meters, light years
On VENUS the "rain" evaporates before it reaches the planet surface. The rain isn't water. What is it
Good luck to Stephen Harper in the Canada's election today. I have a bundle riding on you dude.