Find the probability of the event.When a single card is drawn from an ordinary 52-card deck, find the probability of getting a jack.
A. 
B. 
C. 
D. 
Answer: A
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Write the passage in the form of an argument using the following simple statements:p: The "diamond" is a fake.q: Peter will be unhappy for weeks.The argument's conclusion should be: The diamond must not have been a fake.Determine if the argument is valid or invalid.Peter bought a "diamond" from a street vendor. I was sure it was a fake and that it would make Peter miserable for weeks. But I saw him a few days later. He had got the "diamond" appraised and looked quite happy.......
A. p ? q ~ q ---- ? ~ p The argument is valid. B. p ? q ~ q ---- ? ~ p The argument is invalid. C. p ? q ~ q ---- ? ~ p The argument is valid. D. p ? q ~ q ---- ? p The argument is invalid.
Provide an appropriate response.Simplify by combining like terms: 6.7a - 8.9b + 5.3 - 2.9b + 1.7 - 4.5a
Fill in the blank(s) with the appropriate word(s).
Find the equation of the parabola determined by the given information.Focus at (4, 0), directrix x = -4
A. 16y = x2
B. y2 = 16x
C. y = 
x2
D. x = 
y2
Solve the problem.Find real numbers a, b, and c such that the graph of the function y = ax2 + bx + c contains the points (1, 1), (2, 4), and (-3, 29).
Fill in the blank(s) with the appropriate word(s).