After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are a (6,3), b'(-2, 1),
and c (1,7). what are the coordinates of the vertices of the pre-image?
a (-6,-,6)(3,-6)(3,6)
b (-1,2)(1,2)(2,-1)(2,1)
c (-7,-,-7)(1,-7)(7,-1)

Use your knowledge of the binary number system to write each binary number as a decimal number. a) 1001 base 2= base 10 b) 1101 base 2 = base 10

Agrasshopper weighs 0.89 grams. express the grasshopper’s weight in scientific notation.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)