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题目内容
In a certain high school graduating class,$$80$$ percent of the students applied to college and $$60$$ percent of those who applied have been accepted. Quantity A The percent of the students in the graduating class who applied to college and have not been accepted Quantity B $$20%$$
A certain experiment consists of making $$25$$ observations of the variable $$x$$, which can have integer values between $$-3$$ and $$3$$, inclusive. The experiment was performed twice, and Tables I and II represent the results. Which of the three statistics- mean, median, and mode were the same both times the experiment was performed?
The table summarizes the waiting times, in minutes, of $$500$$ patients at a certain doctor's office. Of the $$500$$ waiting times, a waiting time of $$15$$ minutes is at the $$25$$th percentile and a waiting time of $$25$$ minutes is at the $$k$$th percentile. Quantity A $$k$$ Quantity B $$50$$
If $$2^{3x} -64=0$$, what is the value of $$2^x$$?
$$n$$ and $$k$$ are integers greater than $$1$$ for which $$\sqrt{n^k}=(n^{13})\sqrt{n}$$ Quantity A $$k$$ Quantity B $$14$$
The right circular cylindrical tank above has inner dimensions of radius $$4$$ feet and height $$10$$ feet. What is the greatest possible distance, in feet, between $$2$$ points inside the tank?
For a list of $$k$$ consecutive integers, the median is $$m$$ and the range is $$r$$. Which of the following must be equal to $$k$$?
In the xy-plane, the x-intercept of line $$l$$ is $$2$$ and the y-intercept of line $$l$$ is $$8$$. Line $$k$$ is parallel to line $$l$$. Which of the following must be true for the intercepts of line $$k$$?
At an online bookstore, the annual sales in 2014 were $$15$$ percent greater than those of 2013, the annual sales in 2015 were $$25$$ percent greater than those of 2014, the annual sales in 2016 were $$35$$ percent less than those of 2015, and the annual sales in 2017 were $$5$$ percent less than those of 2016. Which of the following best describes the annual sales in 2017 compared with those of 2013?
The integers $$x_1, x_2, x_3, x_4$$, and $$x_5$$ are such that $$0 < x1 < x2 < x3 < x4 < x5$$. Quantity A The sum of the squares of the five integers $$x_1, x_2, x_3, x_4$$, and $$x_5$$ Quantity B The sum of the squares of the five integers $$x_1+1, x_2, x_3, x_4$$, and $$x_5-1$$
A total of $$210$$ tickets were sold for a local concert. Each ticket was either an adult ticket or a child ticket. The adult tickets sold for $$ $15$$ each and the child tickets sold for $$ $8$$ each. If the total revenue from all the tickets sold was $$ $2,730$$. How many more adult tickets than child tickets were sold?
$$x > 90$$ Quantity A The area of triangular region $$ABC$$ Quantity B $$12$$
A sales representative' s monthly earnings consist of a base salary of $$ $3,500$$ plus a commission equal to $$5$$ percent of monthly sales in excess of $$ $50,000$$. If monthly sales total $$s$$ dollars and $$s > 50,000$$, what are the sales representative' s monthly earnings in terms of $$s$$, in dollars?
A total of $$ $72,000$$ was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $$ $360$$ in interest for the month, what is the value of $$r$$?
James and Ellie are two of $$32$$ people standing in a line for move tickets. There are $$12$$ people, including Ellie, behind James, and there are $$4$$ people between James and Ellie. How many people are in front of Ellie in the line?
If the algebraic expression $$(a+b+c)^2$$ is represented geometrically by the square above, then the expression $$2ab+2bc$$ is represented by which of the following sets of regions?
$$n \gt 4$$ Quantity A $$n^2-5n+4$$ Quantity B $$n^2-6n+9$$
$$x < 0 < y$$ Quantity A $$y-x^2$$ Quantity B $$y+x$$
Which of the following integers CANNOT be expressed as $$x^2+y^2+z^2$$, where $$x, y$$, and $$z$$ are integers?
$$x$$ and $$y$$ are integers, $$x ≤ 6$$ and $$y > 3-2x$$ Quantity A The least possible value of $$y$$ Quantity B $$-8$$