Fifty percent of students enrolled in an astronomy class have previously taken physics. Thirty percent of these students received an A for the astronomy class, whereas twenty percent of the other students received an A for astronomy.Find the probability that a student selected at random previously took a physics course, given that they received an A in the astronomy course.
A. 0.40
B. 0.15
C. 0.25
D. 0.6
E. none of these
Answer: D
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in the same time that Carl travels 
Rob's trip uses more interstate highways and he can average 
more than Carl. What is Rob's average speed?
A. 31 mph B. 35 mph C. 23 mph D. 27 mph
If y varies inversely as x, find the inverse variation equation for the situation.y = 35 when x = 8
A. y = 
x
B. y = 
C. y = 
D. y = 
Solve the problem.Assume the total revenue from the sale of x items is given by 
while the total cost to produce x items is 
Find the approximate number of items that should be manufactured so that profit, 
is maximum.
A. 63 items B. 20 items C. 77 items D. 90 items
Use the given vectors to find the specified scalar.u = -8i + 4j and v = -14i - 5j; Find u ? v.
A. 92 B. -20 C. 132 D. 112