Doug drives without backtracking from his apartment to a campsite in another state. After two hours, he is halfway to his destin
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Based on the image, FJH is perpendicular to JI as these two lines form a right angle.
<h3>What is a perpendicular line?</h3>This name is given to a line that creates a right angle when it intersects or meets with another line.
This concept opposes the concept of parallel line, which is used to describe lines that never intersect and are always the same distance apart.
<h3>How do you identify a perpendicular line?</h3>- Look for a right angle or a a 90° angles.
- Identify the lines that intersect to create this angle.
- Write down the two lines or line sections.
Based on the above, in the image given two lines that can be classified as perpendicular are the lines FJH (horizontal lines) and JI (vertical line) as their intersection creates a right angle.
Learn more about coordinate planes in: brainly.com/question/14462788
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Answer:
a)
b)
Step-by-step explanation:
Part a
We assume that the parachutist lands at random point in the interval (x=A,y=B) we have a continuous random variable X. And the distribution of X would be uniform . And the density function would be given by:
And 0 for other case.
The operation fails, if parachutist's distance to A is more than five times as much as her distance to B.
So the point P in the interval (A,B) at which the distance to A is exactly 5 times the distance to B is given by:
And we can find the probability desired like this:
And from the cumulative distribution function of X ficen by we got:
Part b
For this case we assume that
On this case we assume that
The density function for the Gamma distribution is given by:
And on this case we can find the probability using the complement rule like this:
We can solve this problem with the following excel code:
"=1-GAMMA.DIST(1;2;1;TRUE)"
And if we do it by hand we need to do this: