Answer: The correct number of balls is (b) 4.
Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.
We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.
Let 'r' represents the number of balls to be picked up.
Since we are choosing from 10 balls, so we must have
The value of 'r' can be any one of 0, 1, 2, . . , 10.
Now,
if r = 1, then
If r = 2, then
If r = 3, then
If r = 4, then
Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.
Thus, (b) is the correct option.
Answer:
11
Step-by-step explanation:
You don't need the parenthesis, so you get:
2 5/8 + 4 8/17 + 9/17 + 3 3/8
You combine the integer values and get:
9 + 5/8 + 8/17 + 9/17 + 3/8
You combine the fractions with the denom. of 8 and do the same with those with the denom. of 17 and get:
9 + 8/8 + 17/17
You simplify:
9 + 1 + 1 =
11
the sum of three angles of a triangle adds up to 180 degrees. In this problem, you are given two angles.
x+(2x+15)+the measure of angle Q should equal 180.
Since everything is addition, the parenthesis can be removed.
x+2x+15+Q=180. This can then be simplified to 2x+15+Q=180. Subtract 15 from both sides to get 2x+Q=165. Divide both sides by two to get the x by itself. x+Q=82.5.
Unfortunately I don't really know what to do from here, but I hope it helped at least a little.
Answer:
white 47.7%, mulatto (mixed white and black) 43.1%, black 7.6%, Asian 1.1%,
Step-by-step explanation:
white 47.7%,
mulatto (mixed white and black)
43.1%, black 7.6%,
Asian 1.1%,
