The recursive geometric sequence that models this situation is:
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
It can be represented by a recursive sequence as follows:
With f(1) as the first term.
In this problem, the sequence is: 90.000: 81,000; 72,900; 65,610, hence:
Hence:
More can be learned about geometric sequences at brainly.com/question/11847927
Answer:
51/4
Step-by-step explanation:
To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.
X~ Uniform(0,100)
Then the probability mass function is given as follows.
Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows
Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable ,
is a random variable as well, remember that there is a theorem that says that
Where is the probability mass function of X. Using the information of our problem
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
