Answer: 0.1840
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : The probability of the community favored building a police substation in their neighborhood = 0.64
If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-
Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840
Answer:
We get value of y: y = 2
Step-by-step explanation:
The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
We can find y using formula of finding slope of a line.
The formula is: 
We have 
and Slope = 3
Putting values and finding y
So, we get value of y: y = 2
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
<u><em>x = π</em></u>
<u><em></em></u>
We can assume that B leaves Los Angeles not at noon but at 2pm Eastern Time, so 5 hours later than A leaves New York.
In 5 hours A covers 5*40=200 miles. So, A and B together should cover 3,000-200=2,800 miles.
Combined rate = 40 + 60 = 100 miles per hour.
To cover 2,800 miles they'll need 2,800/100=28 hours.
2pm Eastern Time on Monday + 28 hours = 6pm Eastern Time on Tuesday.
Answer: 6:00pm on Tuesday
