In a certain university, students who have credit cards have either a Visa card or a Master card (or both). On selecting a student at random, the probability that she/he has a Visa card is 0.45, the probability she/he has a Master card is 0.3, and the probability that she/he has both a Visa card and a Master card is 0.2. Compute the following probabilities, writing only the final numeric result rounded to three decimal places. The probability that a randomly selected student has a Master card, given that she/he has a Visa card: The probability that a randomly selected student does not have a Master card, given that she/he has a Visa card: The probability that a randomly selected student has a Visa card, given that she/he has a Master card: The probability that a randomly selected student does not have a Visa card, given that she/he has a Master card: The probability that a randomly selected student has a Visa card, given that she/he has at least one card:

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Find the missing variable for a parallelogram: a = latex: 32in^2 32 i n 2 h = b = 6.3 in (1in=2.54cm)

What is the slope of the line (-7,2) (4,6)