Eric is designing a food container in the shape of a right triangular prism. Based on the container's design, the base will be triangular. The container's height should be 7 inches less than its length, and its width should be 4 inches less than its length. Eric wants the container to hold a
minimum of 154 cubic inches of food. Todetermine the dimensions of the container, Eric will use the formula for the volume of a right triangular
prism:
v=1/2lwh, where l Is length, w is width, and h is height.
Graph the solution to the inequality that Eric can use to find the possible lengths for the container.

Two students were asked if they liked to read. is this a good example of a statistical question? why or why not? a yes, this is a good statistical question because a variety of answers are given. b yes, this is a good statistical question because there are not a variety of answers that could be given. c no, this is not a good statistical question because there are not a variety of answers that could be given. no, this is not a good statistical question because there are a variety of answers that could be given

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.

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?