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.
Answer:
240 miles
Step-by-step explanation:
To solve this we need to write an equation. For this problem let <u>d be the distance traveled</u>. We know that the new train (being much more modern than poor old Thomas who is long retired) can go 20% further. To show this we will take 20% of 200 and then add that to the original distance.
Our equation would look something like this:
d=200+(20%·200)
[one more little note: to find percentage take your percent and convert it into a decimal 20%=0.2)
d=200+(0.2·200)
d=200+40
<u>d=240</u>
Answer:
Step-by-step explanation:
You need the Law of Cosines for this, namely:
where x is the missing side.
and
so
x = 18.0 or just 18
