Answer:
990
Step-by-step explanation:
The center position can be selected in 3 different ways, the other 4 players can be selected in combinations of 11 players (the center is already selected) taken 4 at a time.
By the Fundamental Principle of Counting, there are
ways for her to select the starting line-up.
Answer:
0.1019
Step-by-step explanation:
Probability, p=12%=0.12
Sample size, n=130 students
Those writing with left=14 students
Using the formula for binomial distribution
P(X≤x)=![\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7Dn%5C%5Cx%5Cend%7Barray%7D%5Cright%5Dp%5E%7Bx%7D%281-p%29%5E%7Bn-x%7D)
Substituting 0.12 for p, 130 for n, 14 for x we obtain
P(X≤x)=![\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7D130%5C%5C14%5Cend%7Barray%7D%5Cright%5D0.12%5E%7B14%7D%281-0.12%29%5E%7B130-14%7D)
P(X≤x)=![130C14*0.12^{14}(0.88)^{116}](https://tex.z-dn.net/?f=130C14%2A0.12%5E%7B14%7D%280.88%29%5E%7B116%7D)
P(X≤x)=0.1019
Answer:
60
Step-by-step explanation:
First we divide 5 from 20 then we get 4 so 4 x 15 would be 60.
Step-by-step explanation:
<u>Step 1: Find f(2)</u>
![f(p) = 3p - 2](https://tex.z-dn.net/?f=f%28p%29%20%3D%203p%20-%202)
![f(2) = 3(2) - 2](https://tex.z-dn.net/?f=f%282%29%20%3D%203%282%29%20-%202)
![f(2) = 6 - 2](https://tex.z-dn.net/?f=f%282%29%20%3D%206%20-%202)
![f(2) = 4](https://tex.z-dn.net/?f=f%282%29%20%3D%204)
Answer: Option C, 4
Answer:
Step-by-step explanation:
<u>Total number of marbles:</u>
<u>There are two possibilities</u>
- Orange then green or green the orange
<u>The probabilities are:</u>
- P(o&g) = 2/10*2/9 = 2/45
- P(g&o) =2/10*2/9 = 2/45
<u>Required probability is:</u>
- P = 2/45*2 = 4/45 = 0.08889
Correct choice is C