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:
2340
Step-by-step explanation:
3 3/4=15/4 3 1/4=13/4 turn the mixed fractions into improper fractions
(15/4)(3)(13/4)=36.5625ft³ this is the volume of the shipping box
(1/4)(1/4)(1/4)=1/64ft³ this is the volume of the fish food box
36.5625/(1/64) divide it to find out how much fish boxes can fit
36.5625×64 flip the fraction and multiply
2340
There are no two numbers that multiply to 45 but add to -10.
This is because the only numbers that multiply to get 45 are 1x45, 3x15, 5x8. None of them can add to -10 even if you make some of the numbers negative instead.
If this is a factoring problem, you may have to use the quadratic equation instead.
Answer:
I'm pretty sure it's a
Step-by-step explanation:
A:41
B:27
C:38
D:40
9514 1404 393
Answer:
8 people
Step-by-step explanation:
If 20 of 140 people play tennis, then in a group of 504 people, we expect ...
(20/140) × 504 = 72 . . . . tennis players
If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...
(1/9) × 72 = 8 . . . . have a coach
We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.
