Answer:
11.3 Km
Step-by-step explanation:
Consider the right triangle formed by AB and West.
The acute angle WAB = 270° - 250° = 20°
and West is the adjacent side of the right triangle with AB the hypotenuse
Using the cosine ratio in the right triangle, then
cos20° = =
Multiply both sides by 12
12 × cos20° = adjacent
11.2763.. = adjacent, that is
B is 11.3 Km west of A
Answer:
Step-by-step explanation:
The perpendicular bisector of a line passes through the mid-point of the line and the product of slopes of the line and perpendicular bisector will be -1.
So,
The line will pass through (7,6)
Now,
Let
m_2 be the slope of perpendicular bisector
So,
m_1*m_2 = -1
-2 * m_2 = -1
m_2 = -1/-2 = 1/2
The standard equation of line is:
y=mx+b
Where m is slope
So putting the value of slope and point to find the value of b
..
Answer:
43.46% probability that the person will need to wait at least 9 minutes total
Step-by-step explanation:
To solve this question, we need to understand conditional probability and the exponential distribution.
Conditional probability:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
Expontial distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
In this question:
Event A: Waited at least 4 minutes.
Event B: Waiting at least 9 minutes.
The length of time for one individual to be served at a cafeteria is an exponential random variable with mean of 6 minutes.
This means that
Probability of waiting at least 4 minutes.
Intersection:
The intersection between a waiting time of at least 4 minutes and a waiting time of at list 9 minutes is a waiting time of 9 minutes. So
What is the probability that the person will need to wait at least 9 minutes total
43.46% probability that the person will need to wait at least 9 minutes total