Write an R program for this problem and estimate Pi with 100, 1000 and 10,000 ran-dom points. Try to work with complete vectors only and avoid loops. How far is theapproximation away from the Pi we (fortunately) happen to know. Hint:You need to know how to check if a point (x, y) is inside the circle. As the circleis defined by its origin and the radius, calculate how far the distance is from the circle’sorigin to the point. Use Pythagoras’s rule to determine the distance between the middleof the circle and a point.

Acetylene is a gas which burns rapidly on its own, and is considered highly explosive. a) true b) false

The gene form of a trait is called a(n) 

This assignment continues work on the online booking facility introduced at the end of chapter- 10. the work will be continued in the assignments for chapters 14 and 15 (a) assume that you will produce your online booking facility using an agile approach. i. suggest the kind of user research you would like to conduct for your product before iteration cycles begin. ii prioritize the requirements for your product according to business value, i.e which requirements are likely to provide the greatest business benefit, and sketch out the ux design work you would expect to undertake during the first four iteration cycles, i.e. cycle 0, and cycles 1 to 3. (b) using one of the mockup tools introduced above, generate a mockup of your product's landing page, as developed in the assignment for chapter-11 (c) using one of the patterns websites listed previously, identify suitable interaction patterns for elements of your product, and develop a software-based prototype that incorporates all the feedback and the results of the user experience mapping achieved at the end of chapter-11. if you do not have experience in using any of these, create a few html web pages to represent the basic structure of your website