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题目内容
A gardener plans to cover a rectangular plot of land with pine bark mulch to a depth of 4 inches.The plot measures 8 feet by 12 feet, and the gardener will buy mulch packed in bags. If each bag contains 3.5 cubic feet of mulch and costs $6,what is the cost of the least number of bags that the gardener will need to cover the plot? (Note: 1 foot=12 inches.)
$$k=11,112,222,334$$ 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 $$n$$
If $$n$$ is a number greater than $$1,000$$, which of the following is closest to the value of $$\frac{n^2-n-6}{n^2-9}$$?
If $$r$$ and $$s$$ are integers such that $$2 \leq r \lt s \leq 7$$，what is the greatest possible value of $$\frac{r+s}{rs}$$？
$$p=(25)(10^n)+3$$, when $$n$$ is a positive integer.

Quantity A

The remainder when P is divided by 9

Quantity B

4
Let R, S, and T be finite sets. The set R∪S contains $$2$$ more elements than the set R∪T.

Quantity A

The number of elements in S

Quantity B

$$2$$ more than the number of elements in T
Of the following, which is closest to $$\frac{(5.971)(10^{16})}{0.0602}$$?
$$x$$, $$y$$, and $$c$$ are positive integers.

Quantity A

$$\frac{x}{y}$$

Quantity B

$$\frac{x+c}{y+c}$$

Quantity A

AD

Quantity B

BC


AC=AB

Quantity A

$$x+y$$

Quantity B

120


O is the center of the circle and OPQR is a square.

Quantity A

The length of TS

Quantity B

Twice the length of PR
$$p$$ and $$q$$ are real numbers.

$$\frac{p}{q}=\frac{11}{12}$$

Quantity A

$$p$$

Quantity B

$$q$$
$$3.1 \lt x \lt 4.2$$ $$5.6 \lt x+y \lt 6.8$$

Quantity A

$$y$$

Quantity B

$$2.1$$


The shaded region P consists of 12 identical square regions, and the area of region P is 48. [QA]The perimeter of region P[/QA] [QA]36[/QB]
The probabilities that event R will occur is $$\frac{4}{5}$$, and the probability that event S will occur is $$\frac{4}{7}$$. R and S are independent events.

Quantity A

The probability that both events R and S will occur

Quantity B

The probability that either event R or event S, but not both will occur
$325, $418, $722, $818, $955, $1,092

The six amounts listed are the reported commissions eamed by 6 salespeople during April. Two of the reported amounts are in error; one is $120 greater than the actual amount and one is $120 less.

Quantity A

The standard deviation of the six reported commissions

Quantity B

The standard deviation of the six actual commissions
A teacher will divide a class of $$36$$ students into $$n$$ groups of $$3$$ students each and $$p$$ groups of $$4$$ students each. Which of the following could be the value of $$p$$?

Indicate all such values.
$$r$$ is a positive integer.

Quantity A

The remainder when the product $$(r+1)(r+2)(r+3)$$ is divided by $$5$$

Quantity B

$$1$$
For each value $$x$$ in a list of values with mean $$m$$, the squared deviation of $$x$$ from the mean is defined as $$(x-m)^2$$. The variance of the values in the list is the mean of the squared deviations.

For two lists of values. T and U, the numbers of values are equal and the means of the values are equal, but the variances of the values are distinct. List W consists of the values in T and the values in U combined.

Quantity A

The sum of the variances values in T and U

Quantity B

The variance of the values in W

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