Use the definition of conditional probability to find the "and" probability:

Use the inclusion/exclusion principle to find the "or" probability:

Missing information
Take local speed ad 30 mph and express your answer in miles
Answer:
7.5 miles
Step-by-step explanation:
Time for lunch is 1 hour but once will wait for 30 minutes before served and eat.
Out of 1 hour, 30 mins is for service and eating to mean time to get from work to restaurant, to and fro is the other 30 mins
Since 30 mins is for to and fro, then one way direction takes 15 mins.
Speed, s=d/t and distance d=speed*time
Given local speed of 30 mph and time as 15 mins,
To convert minutes to hours, we divide it by 60 hence the distance is
30*15/60=7.5 miles
Therefore, the student can go to a restaurant that is 7.5 miles from the office.
Answer:
ONE SOLUTION
Step-by-step explanation:
When two points on a line are given, the equation of the line is given by the formula:

where
and
are the points on the line.
Here, the first set of points are:
and
.
Therefore,
and
.
The line passing through this is given by:


∴ 2x + y - 1 =0
Now, for the second line, the points are:
and
.
Therefore, 

∴ 2x - y + 2 = 0
Now, to determine the number of solutions the two equations have, we solve these two equations,
Adding Eqn(1) and Eqn(2) we get:
4x = -1

And
.
Since, we arrive at unique values of 'x' and 'y', we say the lines have only one unique solution.