Answer:
Probability that event will have both red marbles will be 2.3% or 0.023.
Step-by-step explanation:
Given:
Total red marbles=5
Total blue marbles=25
Total number of marbles =30
To Find:
The probability that both are red without replacement of marbles.
Solution:
Now
Total sample space is 30 and total red marbles are 5
For a event that getting red marble probability is ,
=Total red marbles /total marbles.
=5/30
=1/6
So probability if getting red marble is 1/6
<em>Now for second chance there will be 4 red marbles remaining and 29 total marbles so,</em>
In second chance probability if getting red marble will be
=total red marbles present/total marbles remaining
=4/29
Now ,
The required probability will be getting both at a time
i.e probability getting red AND red marble so here AND operator which means multiple both the probability.
Probability both will have red =1/6*4/29
=4/(29*6)=2/(29*3)
=0.022988
=0.023
=2.3 %
Answer:
21
Step-by-step explanation:
![\left[\begin{array}{cc}5&9\\-6&9\end{array}\right] +6\left[\begin{array}{cc}-5&2\\7&8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%269%5C%5C-6%269%5Cend%7Barray%7D%5Cright%5D%20%2B6%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-5%262%5C%5C7%268%5Cend%7Barray%7D%5Cright%5D)
Multiply the second matrix by 6.
![\left[\begin{array}{cc}5&9\\-6&9\end{array}\right] +\left[\begin{array}{cc}-30&12\\42&48\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%269%5C%5C-6%269%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-30%2612%5C%5C42%2648%5Cend%7Barray%7D%5Cright%5D)
Add the corresponding cells in each matrix.
![\left[\begin{array}{cc}5-30&9+12\\-6+42&9+48\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5-30%269%2B12%5C%5C-6%2B42%269%2B48%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{cc}-25&21\\36&57\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-25%2621%5C%5C36%2657%5Cend%7Barray%7D%5Cright%5D)
There are 9 long distance male runners and 5 long distance female runners. This makes a total of 9+5 = 14 long distance runners.
Out of this total of 14 long distance runners, there are 9 males. So the probability as a fraction is 9/14
If you need the answer in decimal form, then use a calculator to get 9/14 = 0.642857 which is approximate.
Answer: The slope is -2/1
Step-by-step explanation: We go 2 up and 1 to the left, meaning we get 2 over -1, to simplify, -2/1
Note: When we go down or to the left its negative, when we go up or to the right its positive
