Answer:
P(B)=0.30
Step-by-step explanation:
Out of 1000 Voters, 30% favor Jones.
Event S=Favors Jones on First Trial
Event B=S occurs on Second Trial
P(S)=0.30
P(S')=1-0.30=0.70
Event B could occur in two ways
- The first two trials are a success
- The first trial is a failure and the second trial is a success.
Therefore,
P(B)=P(SS)+P(S'S)
=(0.3X0.3)+(0.7X0.3)
=0.09+0.21
=0.3
Therefore, the probability of event B(that event S occurs on the second trial), P(B)=0.30.
2 , and 13 , it'll be clear if you use a coordinate plane
I think the answer is choice D, but don't trust me I didn't do the math.
I think the answer is x=10
Answer:
5 different numbers, 2 even
Step-by-step explanation:
Since we have 5 digits and they are non repeating we can use the permutation formula:
![P(n, k) = \frac{n!}{k!}, $where $ k \leq n ; k, n \in \mathbb{N}](https://tex.z-dn.net/?f=P%28n%2C%20k%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bk%21%7D%2C%20%24where%20%24%20k%20%5Cleq%20n%20%3B%20k%2C%20n%20%5Cin%20%5Cmathbb%7BN%7D)
It gives us the amount of ways to arrange k objects out of n objects without repetition, but order does matter.
In our case the amount of 4 digit numbers that can be formed using the digits from 1 to 5 is: ![P(5, 4) = \frac{5!}{4!} = 5.](https://tex.z-dn.net/?f=P%285%2C%204%29%20%3D%20%5Cfrac%7B5%21%7D%7B4%21%7D%20%3D%205.)
And out of those 5, only 2 are even