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The circle above has the center $$O$$ and circumference $$16π$$. If the eight points indicated on the circle are equally spaced, what is the perimeter of the shaded region?
The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown. The random variable W is normally distributed with mean $$50$$ and standard deviation $$9$$. Which of the following is closest to the value of W at the 25th percentile of the distribution?
The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown. A factory produces metal rods used for machines of a certain type. The distribution of lengths of the rods is approximately normal with mean $$15.00$$ centimeters and standard deviation $$0.06$$ centimeter. Approximately what percent of the rods produced at the factory have lengths greater than $$15.10$$ centimeters?


The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown. The random variable W is normally distributed with mean $$50$$ and standard deviation $$9$$. Which of the following is closest to the value of W at the $$25^{th}$$ percentile of the distribution?
Of the $$70$$ students who took a typing test, $$48$$ made $$5$$ or more errors and $$38$$ made $$10$$ or fewer errors.

Quantity A

The number of students who made from $$5$$ to $$10$$ errors

Quantity B

$$16$$


The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

A factory produces metal rods used for machines of a certain type. The distribution of lengths of the rods is approximately normal with mean $$15.00$$ centimeters and standard deviation $$0.06$$ centimeter. Approximately what percent of the rods produced at the factory have lengths greater than $$15.10$$ centimeters?
For each of 5 coins, the probability that the coin will land heads up when it is flipped is $$\frac{1}{2}$$. The 5 coins will be flipped simultaneously. Which of the following statements are true?
Indicate all such statements.
In a survey, 400 people answered either yes or no to each of 2 questions. There were 340 people who answered yes to the first question,180 people who answered yes to the second question, and $$n$$ people who answered yes to both questions. Which of the following could be the value of $$n$$?
Indicate all such values.
$$-7, -3, 4, 7, 3, ……$$
In the sequence shown, each term after the first two terms is the absolute value of the difference of the two terms preceding it.

Quantity A

The $$35$$th term of the sequence

Quantity B

$$1$$
In a poll of 400 people who answered either yes or no to each of two questions, 340 people answered yes to the first question and 215 people answered yes to the second question. Which of the following could be the number of people polled who answered yes to both questions?
Indicate all such numbers.
$$m, n, p, r,$$ and t are integers. $$0 \lt m \lt n \lt p \lt r \lt t $$

Quantity A

The median of $$m, n, p, r,$$ and $$t$$

Quantity B

$$\frac{m+n+p+r+t}{5}$$
A={$$7, 8, 9, 10, 11$$}
B={$$25, 26, 27, 28$$}
If a number $$x$$ is selected from set $$A$$ and a number $$y$$ is selected from set $$B$$, then $$x+y$$ can have how many different possible values?
How many 3-digit integers have an odd hundreds digit, an even tens digit, and a units digit that is different from the other two digits?
Boxes $$A, B$$, and $$C$$ each contain colored pencils. Box $$A$$ contains $$7$$ pencils, $$3$$ of which are red. Box $$B$$ contains $$6$$ pencils, $$4$$ of which are red. Box $$C$$ contains $$7$$ pencils, $$4$$ of which are red. One pencil is to be selected at random from each box. What is the probability that at least $$1$$ of the $$3$$ pencils selected will be red?
A bag contains 13 blue pens and 3 red pens. Two pens are to be randomly selected from the bag, one at a time and without replacement. What is the probability that both of the pens selected will be blue?


The figure shows a circle with center $$O$$ . If the measure of angle $$ORP$$ is 21.5 degrees, what is the measure of angle $$PQR$$ ?
(Note: The measure of an angle inscribed in a circle is equal to half the measure of the central angle that subtends the same arc.)
In the rectangular solid shown, $$BF=5$$ and $$AF=3$$ . If the volume of the rectangular solid is 84, what is the sum of the areas of $$△FGH$$ and $$△DEH$$ ?
What is the greatest possible percent of people surveyed who use all of the methods listed?

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