Answer:
C) 7
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Work Shown:
Use the slope formula
m = (y2-y1)/(x2-x1)
Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r
m = (y2-y1)/(x2-x1)
-5/3 = (2-r)/(r-4)
-5(r-4) = 3(2-r) .... cross multiplying
-5r+20 = 6-3r
-5r+20+5r = 6-3r+5r .... adding 5 to both sides
20 = 6+2r
20-6 = 6+2r-6 ....subtracting 6 from both sides
14 = 2r
2r = 14
2r/2 = 14/2 .... dividing both sides by 2
r = 7
The slope of the line through (4,7) and (7,2) should be -5/3, let's check that
m = (y2-y1)/(x2-x1)
m = (2-7)/(7-4)
m = -5/3
The answer is confirmed
Answer:
1629
Step-by-step explanation:
10 to the second power = 100
100 x 16.29 = 1629
Answer:
(5-2a+6b)/2
Step-by-step explanation:
According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2
<span>"A coordinate graph is shown with a downward sloped line crossing the y axis at the origin that ends at the open point 3, -1" → this is the left side of the graph, so the limit is -1.</span>
You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.
You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.
Any of the other remaining 29 outcomes occurs with probability 29/36.
The expected value of your winnings is
$18*5/36 + $72*1/18 - $9*29/36 = -$0.75
so the answer is E.
