Alexei is playing a game in which he throws darts at a target. when throwing a regular, unweighted dart, alexei has a 50% chance of hitting the target on each throw. however, the game is rigged, and so each time after he hits the target, for his next throw the host gives him a weighted dart that will hit the target with probability only 25%. (if he misses the target, the host will give him a regular dart for his next throw, and his first throw is with a regular dart.) if alexei throws a total of ten darts, find the expected number of times he hits the target as a decimal to the nearest hundredth.

What is the equation of this graphed line? enter your answer in slope-intercept form in the box.

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .

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.