An examination consisting of ten true-or-false questions was taken by a class of 100 students. The probability distribution of the random variable X, where X denotes the number of questions answered correctly by a randomly chosen student, is represented by the accompanying histogram. The rectangle with base centered on the number 8 is missing. What should be the height of this rectangle?
a. 0.15
b. 0.3
c. 0.25
d. 0.1
a. 0.15
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In an adiabatic process (one in which no heat transfer takes place), the pressure P and volume V of an ideal gas such as oxygen satisfy the equation 
where C is a constant. Suppose that at a certain instant of time, the volume of the gas is 2L, the pressure is 100 kPa, and the pressure is decreasing at the rate of 5 kPa/sec. Find the rate at which the volume is changing.
a. 14 L/sec
b. C–14 L/sec
c. C–
d. 
Write with radicals. Assume that all variables represent positive real numbers.137/2
A. 
7
B. (
)7
C. 
D. 
2
Provide an appropriate response.Suppose that A and B are two matrices such that A + B, A - B, and AB all exist. What can you conclude about the dimensions of A and B?
A. A and B have the same dimension but are not necessarily square matrices. B. A and B are square matrices of the same dimension. C. There are no dimensions of A and B that would make this possible. D. A is a row matrix, and B is a column matrix.
Perform the indicated operation. Write the answer in lowest terms.
+ 
A. 
B. 
C. 
D. 