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题目内容
Passwords for a certain computer consist of 5 symbols typed on a computer keyboard. Each password consists of one @ symbol, two # symbols, and two $ symbols, typed in any order. For example, @#$$# and $#$#@ are two different passwords for the computer.

Quantity A

The total number of different passwords for the computer

Quantity B

30
A team of two students from an art school is to be selected to represent the school at a national event. The two students will be selected from the students in three classes that have no students in common. The three classes have 10 students, 8 students, and 7 students. If the two students must be selected from different classes, how many teams are possible?
Points R, S, and T have rectangular coordinates (1, 1), (4, 5), and (5, 0), respectively.

Quantity A

RT

Quantity B

ST
The cost of producing 1 unit of a product at a certain manufacturing company is $0.75. According to a sales model, if each unit has a selling price of $1.00, the company expects to sell 1,000 units each month. For each $0.05 increase in the unit selling price, the company expects to see a decrease of 100 units sold each month. According to the model, which of the following could be a unit selling price at which the company would expect a profit of at least $250.00 each month? (Profit equals revenue minus cost.)

Indicate all such unit selling prices.
For 1997 Kevin' s annual salary was equal to Edith' s annual salary.

For 1998 Kevin's annual salary was increased by $$t$$ percent of that of the preceding year and for 1999 his annual salary was increased by m percent of that of the preceding year.

For 1998 Edith's annual salary was increased by m percent of that of the preceding year and for 1999 her annual salary was increased by $$t$$ percent of that of the preceding year.

Quantity A

Kevin' s annual salary for 1999

Quantity B

Edith' s annual salary for 1999
The cost of producing 1 unit of a product at a certain manufacturing company is $0.75. According to a sales model, if each unit has a selling price of $1.00, the company expects to sell 1,000 units each month. For each $0.05 increase in the unit selling price, the company expects to see a decrease of 100 units sold each month. According to the model, which of the following could be a unit selling price at which the company would expect a profit of at least $250.00 each month? (Profit equals revenue minus cost.)

Indicate all such unit selling prices.
The degree of a polynomial in x is the greatest exponent of x when the polynomial is written as a sum of terms such as $$a_i$$$$x^i$$, where i is a positive integer and $$a_i$$, is a number. For example, the degree of $$9x^3 + 3x^5 – 100x$$ is 5. What is the degree of the polynomial$$(x+4x^3)^2$$$$(x^5-7）$$？


A social scientist conducted two experiments, experiment I and experiment II, in which the values 0, 1, 2, 3. and 4 were observed with the frequencies shown in the table above. Which of the following statistics are the same for the distribution of values observed in experiment I as they are for the distribution of values observed in experiment II?

Indicate all such statistics.
$$k=11,112,222,334$$ and $$n=111,122,334$$

Quantity A

The number of different 11-digit positive integers that are obtained by all possible orderings of the digits of the integer $$k$$

Quantity B

$$9$$ times the number of different 9-digit positive integers that are obtained by all possible orderings of the digits of the integer $$n$$
In a certain homeowners' association, $$\frac{2}{3}$$ of the members in the association must vote in favor of a proposed change in the bylaws in order for the change to pass. At the last meeting, in which voting for a certain proposed change in the bylaws took place, $$\frac{1}{4}$$ of the members did not vote. If the proposed change was passed, at least what fraction of the members who voted must have voted in favor of the proposed change?
The probabilities that independent events F and G will occur are 0.50 and 0.64, respectively. What is the probability that neither of them will occur?
If $$b$$ and $$p$$ are positive integers and $$b$$ is a prime number such that $$(b^4)(2^p)=2,592$$, what is the value of $$b+p$$?
There are $$10$$ packages of candy on a shelf, $$4$$ that are filled with blue candies and 6 that are filled with red candies. If $$3$$ packages are to be chosen at random from the shelf without replacement, what is the probability that at least one of the $$3$$ packages will be filled with blue candies?
The smallest dollar increase in United States postal rates over the previous rate occurred in
How many of the United States postal rate increases after 1965 were less than $0.03 per ounce for the first ounce of first-class mail?
What was the percent increase in the United States postal rate from 1965 to 1997?
A fence is to be built along the entire border of each of the four shaded garden areas. What is the total number of feet of fencing needed?
It has been estimated for this garden that 5 pounds of tomatoes can be harvested for every $$2$$ square feet used to grow tomatoes. According to this estimated rate, how many pounds of tomatoes can be harvested from the garden?
If $$\frac{1}{11}$$ of the total area of the garden used for flowers is used to grow daisies, how many square feet of the garden is used to grow daisies?
For 1996, which of the following is closest to the ratio of the aviation division' s revenue to the transportation division' s revenue?

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