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Of the 29 students in a class, 15 students study French, fewer than 16 students study Spanish, and 5 students study neither French nor Spanish. Which of the following could be the number of students in the class who study both French and Spanish?

Indicate all such numbers.
On a radio call-in show, the 6th caller and every 6th caller thereafter were given a T-shirt. Also, the 15th caller and every 15th caller thereafter were given movie tickets. A total of 78 people called the show, all at different times. How many of the callers were given neither a T-shirt nor movie tickets?

_____callers
Jessica`s car is one of the 6 cars in an auto repair shop. Only 3 of the 6 cars will be repaired today, and each of the 6 cars is equally likely to be one of the 3 cars that will be repaired.

Quantity A

The probability that Jessica`s car will be repaired today

Quantity B

$$\frac{1}{3}$$


Calvin drives east along a straight road from point A to point B. His speed is never more than 60 miles per hour. Which of the following graphs could represent Calvin's distance from point A as a function of time?

Indicate all such graphs.
On a bookshelf, Pat arranges 7 different books: 2 history books, 3 philosophy books, and 2 science books. If Pat arranges the books so that the history books are next to each other, the science books are next to each other, and the philosophy books are next to each other, how many different arrangements are possible?
$$S={1.2, 0.9, 1.3, 1.5}$$

$$T={1.2x, 0.9x, 1.3x, 1.5x}$$

$$x$$ is a positive number.

Quantity A

he standard deviation of the numbers in set S

Quantity B

The standard deviation of the numbers in set T


Each copy of Magazine X is sold either at the cover price of $3.25 per copy or at the subscription price of $1.75 per copy. The average (arithmetic mean) price of the copies of Magazine X that were sold last month was $2.25 per copy.

Quantity A

The number of copies of Magazine X that were sold last month at the subscription price

Quantity B

Twice the number of copies of Magazine X that were sold last month at the cover price




In quadrilateral ABCD shown, what is the value of x?

Give your answer to the nearest 0.1.

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