Simplify 14^15 over 14^5
1 answer:
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Answer:
a) 12x + 22 b) 17 - x
Step-by-step explanation:
Perimeter is the sum of the each side length.
The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.
(4x+8) x 2 = 8x+16
(2x+3) x 2 = 4x + 6
12x+22
(6 - 12x) + (2
+ x) + (9
+ 10x)
combine like-terms.
17 - x
Answer:
Step-by-step explanation:
The sample space of rolling a dice twice is:
S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
Sample size, <em>n</em> = 36.
Each sample has an equal chance of being selected.
So the probability of selecting any of the 36 sample is, .
Now an event <em>A</em> is defined as the second roll being larger than the first.
The sample space for <em>A</em> is:
<em>A</em> = {(2, 1), (3, 1), (3, 2), (4, 1), (4, 2), (4, 3), (5, 1), (5, 2), (5, 3), (5, 4), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5)}
The sample size is, <em>n</em> = 15.
The probability of the event <em>A</em> is: