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Answer:
$6190.48
Step-by-step explanation:
The price is now 1 -16% = 84% of the original price (p).
$5200 = 0.84p
p = $5200/0.84 = $6190.48
The price before the discount was $6190.48.
Answer:
a) (4,5)
b) (0,-3)
Step-by-step explanation:
We have to perform the following reflection over given ordered pair.
a) Reflect the ordered pair (-4,5) across the y-axis
Reflection over y-axis:
Thus, (-4,5) will be reflected over y-axis as
b) Reflect the ordered pair (0,3) across the y-axis
Reflection over x-axis:
Thus, (0,3) will be reflected over x-axis as
Answer:
The probability that event B does not occur is 1 - 1/3 = 2/3. Since we want the probability that A occurs AND that B does not occur, we multiply their respective probabilities. Thus, the probability that event A occurs but event B does not occur is 1/2 x 2/3 = 1/3.
Step-by-step explanation:
3..............
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Since we do not know anything about angles, all we can do is to give the maximum and minimum lengths of the third side using the triangle inequality, which is:
the sum of lengths of the two shorter sides of a triangle must be GREATER than the third side (say X)
If 9 and 14 are the shorter sides, then the sum of 9 and 14 must be greather than the third side, X. => 9+14=23>X, or X<23. .................(1)
If 14 is the longest side, then 9+third side (X) must be greater than 14, or 9+X>14, or X>14-9=5, or X>5, or 5< X ..............................(2)
Combining conditions (1) and (2)
5 < X < 23
OR
X must be greater than 5 AND X must be less than 23
OR
X must be between 5 and 23.