Trong một trường Đại học có 10000 sinh viên, theo dõi toàn bộ kết quả thi kết thúc học phần của các sinh viên trong học kỳ một, thấy có 40% sinh viên phải thi lại ít nhất 1 môn. Sau khi áp dụng quy chế mới, ở học kì hai chọn ngẫu nhiên 1600 sinh viên dự thi thấycó 1040 sinh viên không phải thi lại. Với mức ý nghĩa 5%, có thể cho rằng việc nhà trường áp dụng quy chế mới đã làm giảmtỷ lệ sinh viên thi lại hay không?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x) − 4?