Answer:
There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.
Step-by-step explanation:
Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.
The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is
As a result, we have 165 ways to distribute the blackboards.
If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is
. Thus, there are only 35 ways to distribute the blackboards in this case.
The probability that no boys will be chosen is 0.2857
What is probability?
The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.
Main Body:
Total students =22
total boys = 10
total girls =12
Now we have to chose 2 girls from 12 , so combination is used to select ,
⇒¹²C₂
Also, We have to chose 2 girls from 22 students
so it can be represented as ,
⇒²²C₂
Probability of choosing 2 girls = ¹²C₂/²²C₂
On solving this we will get = 0.2857
Hence the probability is 0.2857
To know more about probability , visit;
brainly.com/question/13604758
#SPJ4
First let's find how much is 15% of 8500 voters.
To do that, we can multiply 15 by 8500 and then divide by 100.
Work: 15 x 8500 = 127500
127500/100 = 1275
Therefore 15 percent of 8500 is 1275.
Then, we subtract 1275 from 8500 to find the amount of people who did vote.
8500 - 1275 = 7,225
Thus, 7,225 people voted while 1,275 people did not.
Answer:
Step-by-step explanation:
Devon's sister is incorrect.
Note 6 drinks thats cost $2.99
2.99 divided by 6 is $0.50
Thus each drink is approx. $0.50
She would find it if she divided total number of drinks by the total price
She will have $500 in 5 days because when she takes out the 20 every week she will have had $100 so to make $500 she will have to have made 5 $100